Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the dot plots to choose the true statement.

Answers

Answer 1

Answer:

The second week had 10 more golfers than the first week.

Step-by-step explanation:

The graph clearly shows that the second week golfer are more than the first week. The median for week 2 is greater than the median of week 1. The graph of week 2 shows that number of golfers had increased and their age is between 60 to 80 years of age. The median of week 2 is 79 where as median of week 1 is 75.


Related Questions

Sarah has $20 saved. She gets $10 per week for her allowance, and she saves her allowance for the next 3 weeks. At the end of the week, she gets $150 in birthday money. How much money will she have after the 3 weeks? Which of the following sets of equations represents this problem?

Answers

Answer:

$200

Step-by-step explanation:

We know that she already has $20. And we know that every week, for three weeks she gets $10.

20+3(10)+150=m

We add all of this up, and we find that at the end of 3 weeks Sarah has $200 saved.

♡Easy Brainliest♡ Which statement BEST explains why the sine of an acute angle is equal to the cosine of the angle's complement? A Both sinA and cosB are equal to ab. B Both sinA and cosB are equal to ac. C For sinA to equal cosB, a and c must be equal. D For sinA to equal cosB, a and b must be equal.

Answers

Answer:

Answer is A

Step-by-step explanation:

Hope it helps

Simplify to create an equivalent expression. -3(2+4k)+7(2k-)

Answers

Answer:

[tex]-3(2 + 4k) + 7(2k)[/tex] = [tex]2k - 6[/tex] or [tex]2(k - 3)[/tex]

Step-by-step explanation:

The question seem incomplete; however, the given parameter is assumed as

[tex]-3(2 + 4k) + 7(2k)[/tex]

Required

Simplify

[tex]-3(2 + 4k) + 7(2k)[/tex]

Start by opening the brackets

[tex]-3*2 -3* 4k + 7*2k[/tex]

[tex]-6 -12k +14k[/tex]

Collect Like Terms

[tex]-6 -12k +14k[/tex]

[tex]-6 + 2k[/tex]

Reorder the above expression

[tex]2k - 6[/tex]

The answer can be further simplified as

[tex]2(k - 3)[/tex]

Hence;

[tex]-3(2 + 4k) + 7(2k)[/tex] = [tex]2k - 6[/tex] or [tex]2(k - 3)[/tex]

On one day, the stock of Seraj Food Technologies went up by $30\%.$ The next day, the stock fell by $30\%.$ Over the two days, the stock fell overall by $x$ percent. What is $x$?

Answers

Since the stock went up by 30% and fell by 30%, the net increase is 0%.  So x = 0.

Which system of equations represents the matrix shown below?

Answers

Answer:

D

Step-by-step explanation:

just compare the augmented matrix to the possible answers and you will see it the option D

What number could be added to 0.40 mL for the level pf precision to be 0.01mL?

Answers

Answer:

-0.39mL

Step-by-step explanation:

Let x be the number.

The expression would be: 0.40 + x = 0.01

Apply algebra to the equation to solve for x. You can subtract 0.40 from each side to simplify the expression. Here's what it should look like after applying algebra: x = -0.39

Therefore the answer is -0.39mL

PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer:

140°

Step-by-step explanation:

[tex] \because m\widehat{BG} = 360\degree - m\widehat{GCB} \\

\therefore m\widehat{BG} = 360\degree - 300\degree \\

\therefore m\widehat{BG} = 60\degree \\

\because m\widehat{BGD} = m\widehat{BG}

+m\widehat{GD}\\

\therefore m\widehat{BGD} = 80\degree+60\degree\\

\therefore m\widehat{BGD} = 140\degree\\

\because m\angle BAD = m\widehat{BGD} \\

\huge\purple {\boxed {\therefore m\angle BAD =140\degree}} [/tex]

In a triangle ABC with |AB|=9m,|AC| =6m ,the sides AB and AC are produced to points X and Y respectively such that angleBXY=62°,and angle AYX=51°, calculate |BC| ..please help Mee‍♀️‍♀️​

Answers

Answer:

|BC| = 9.4 m

Step-by-step explanation:

Angle bxy = angle abc (reason, corresponding angles)

Angle ayx = angle acb ( reason , corresponding angles)

So angle abc= 62°

Angle acb = 51°

Angle acb + and + bac = 180 (reason, sum of angles in a triangle)

Anlge bac = 180-62-51

Angle bac= 180-113

Angle back = 67°

Using sine formula

|BC| /sin 67 = 9/sin 62

|BC| = sin 67 *9/sin62

|BC| = 9.4 m

Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale.

21.0 m^2
9.8 m^2
19.6 m^2
10.5 m^2

Answers

Answer:

10.5 m²

Step-by-step explanation:

Given:

∆ with 2 side lengths, 4.7m, 6.1m, and an included angle, 47°.

Required:

Area of the triangle

SOLUTION:

Area of such triangle that has 2 known sides and an included angle between them is given as ½*a*b*sin(θ).

Where,

a = 4.7 m

b = 6.1 m

θ = 47°

Area = ½*4.7*6.1*sin(47)

Area = 10.5 m² (to the nearest tenth)

what number is the opposite of 0.93?

Answers

Answer:

- 0.93

Step-by-step explanation:

0.93 has an absolute value of  0.93 and is positive, so its opposite would be negative with the same absolute value.

The opposite number of 0.93 is -0.93.

What is opposite number?

The number that produces zero when added to an is known as the additive inverse of a number, or a, in mathematics. This number is also referred to as the opposite number. In another word, oppositely positioned numbers on the number line are called opposite number.

Hence, opposite number of a positive number is a negative number and opposite number of the negative number is a positive number.

For an example, the opposite number of +7 is -7 because +7 + ( -7) = 0.

The opposite number of -0.5 is 0.5 because (-0.5) +0.5 = 0.

In this question, the given number is +0.93.

Let the opposite number of +0.93 is x.

Then it can be written that:

+0.93 + x = 0

⇒ x = 0 -0.93

⇒ x = -0.93

Hence,  the opposite number of 0.93 is -0.93.

Learn more about opposite numbers here:

https://brainly.com/question/28492868

#SPJ3

Solve for y
8+3y=-17
Simplify your answer as much as possible.

Answers

8+3y=-17
Subtract 8 from both sides: 8-8+3y=-17-8
= 3y=-25
Divide 3 from both sides: 3y/3=-25/3
y= -8.3 repeating

I beed help nowww hjbiuhkju uhbjknjhiuy

Answers

Answer:

answer hoga 3/2 ok.....

Answer: 3/2

Step-by-step explanation:

please do the steps Solve for d: 1/6d-8=5/8 2. Solve for x: 3x-4+5x=10-2z 3. Solve for c: 7(c-3)=14 4. Solve for m: 11(m/22+3/44)=87m+m 5. Solve for k: ck+5k=a

Answers

Answer:

d = 55.5  

x = 1

c = 11

m = [tex]\frac{1}{122}[/tex]

k = [tex]\frac{a}{(c + 5)}[/tex]

Step-by-step explanation:

Sorry, the formatting is slightly hard to understand, but I think this is what you meant.

Q1.

[tex]\frac{1}{6}[/tex]d - 8 = [tex]\frac{5}{8}[/tex] x 2

Step 1. Simplify.

[tex]\frac{5}{8}[/tex] x 2 = [tex]\frac{5}{8}[/tex] x [tex]\frac{2}{1}[/tex] = [tex]\frac{10}{8}[/tex]

Step 2. Cancel out the negative 8.

[tex]\frac{1}{6}[/tex]d - 8 = [tex]\frac{10}{8}[/tex]

+ 8 to both sides (do the opposite: [tex]\frac{1}{6}[/tex]d is subtracting 8 right now, but to cancel that out, we will do the opposite of subtraction, i.e. addition)

[tex]\frac{1}{6}[/tex]d = [tex]\frac{10}{8}[/tex] + 8

Step 3. Simplify.

[tex]\frac{10}{8}[/tex] + 8 = [tex]\frac{10}{8}[/tex] + [tex]\frac{8}{1}[/tex] = [tex]\frac{10}{8}[/tex] + [tex]\frac{64}{8}[/tex] = [tex]\frac{74}{8}[/tex] = [tex]\frac{37}{4}[/tex]

Step 4. Cancel out the [tex]\frac{1}{6}[/tex].

[tex]\frac{1}{6}[/tex]d = [tex]\frac{37}{4}[/tex]

÷ [tex]\frac{1}{6}[/tex] from both sides (do the opposite: d is multiplied by [tex]\frac{1}{6}[/tex] right now, but to cancel that out, we will do the opposite of multiplication, i.e. division)

÷ [tex]\frac{1}{6}[/tex] = x 6

So....

x 6 to both sides

d = [tex]\frac{37}{4}[/tex] x  6 = [tex]\frac{37}{4}[/tex] x [tex]\frac{6}{1}[/tex] = [tex]\frac{222}{4}[/tex] = [tex]\frac{111}{2}[/tex] = 55.5

Step 5. Write down your answer.

d = 55.5

Q2.

3x - 4 + 5x = 10 - 2x × 3

Step 1. Simplify

3x - 4 + 5x = 3x + 5x - 4 = 8x - 4

10 - 2x × 3 = 10 - (2x × 3) = 10 - 6x

Step 2. Cancel out the negative 6x

8x - 4 = 10 - 6x

+ 6x to both sides (do the opposite - you're probably tired of reading this now - right now it's 10 subtract 6x, but the opposite of subtraction is addition)

14x - 4 = 10

Step 3. Cancel out the negative 4

14x - 4 = 10

+ 4 to both sides (right now it's 14x subtract 4, but the opposite of subtraction is addition)

14x = 14

Step 4. Divide by 14

14x = 14

÷ 14 from both sides (out of the [14 × x] we only want the [x], so we cancel out the [× 14])

x = 1

Step 5. Write down your answer.

x = 1

Q3.

7(c - 3) = 14 × 4

Step 1. Expand the brackets

7(c - 3) = (7 x c) - (7 x 3) = 7c - 21

Step 2. Simplify

14 x 4 = 56

Step 3. Cancel out the negative 21

7c - 21 = 56

+ 21

7c = 56 + 21

7c = 77

Step 4. Cancel out the ×7

7c = 77

÷ 7

c = 77 ÷ 7

c = 11

Step 5. Write down your answer.

c = 11

Q4.

11([tex]\frac{m}{22}[/tex] + [tex]\frac{3}{44}[/tex]) = 87m + m × 5

Step 1. Expand the brackets

11([tex]\frac{m}{22}[/tex] + [tex]\frac{3}{44}[/tex]) = (11 x [tex]\frac{m}{22}[/tex]) + (11 x [tex]\frac{3}{44}[/tex]) = ([tex]\frac{11}{1}[/tex] x [tex]\frac{m}{22}[/tex]) + ([tex]\frac{11}{1}[/tex] x [tex]\frac{3}{44}[/tex]) = [tex]\frac{11m}{22}[/tex] + [tex]\frac{33}{44}[/tex] = [tex]\frac{m}{2}[/tex] + [tex]\frac{3}{4}[/tex]

Step 2. Simplify.

87m + m x 5 = 87m + 5m = 92m

Step 3. Cancel out the add [tex]\frac{3}{4}[/tex]

[tex]\frac{m}{2}[/tex] + [tex]\frac{3}{4}[/tex] = 92m

- [tex]\frac{3}{4}[/tex]

[tex]\frac{m}{2}[/tex] = 92m - [tex]\frac{3}{4}[/tex]

[tex]\frac{m}{2}[/tex] = [tex]\frac{92m}{1}[/tex] - [tex]\frac{3}{4}[/tex]

[tex]\frac{m}{2}[/tex] = [tex]\frac{368m}{4}[/tex] - [tex]\frac{3}{4}[/tex]

[tex]\frac{m}{2}[/tex] = [tex]\frac{368m - 3}{4}[/tex]

Step 4. Cancel out the ÷ 4

[tex]\frac{m}{2}[/tex] = [tex]\frac{368m - 3}{4}[/tex]

x 4

2m = 368m - 3

Step 5. Cancel out the 368m

2m = 368m - 3

- 368m

-366m = - 3

Step 6. Cancel out the × -366

-366m = -3

÷ -366

m = [tex]\frac{-3}{-366}[/tex]

m = [tex]\frac{1}{122}[/tex]

Step 7. Write down your answer.

m = [tex]\frac{1}{122}[/tex]

Q5.

ck + 5k = a

Step 1. Factorise

ck + 5k = (c × k) + (5 × k) = (c + 5) x k = k(c + 5)

Step 2. Cancel out the × (c + 5)

k(c + 5) = a

÷ (c + 5)

k = a ÷ (c + 5)

k = [tex]\frac{a}{(c + 5)}[/tex]

Evaluate without actual multiplication 1) 95x96 2)103x107

Answers

Answer:

:

"(100 + 3) (100 + 7)

Now, by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = 3 , b = 7

= (100)² + (3+7)*100 + (3*7)

= 10000 + 1000 + 21

= 11021

.

(110 - 7) (110 - 3)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = (-7) , b = (-3)

= (110)² + { (-7) + (-3) }*110 + {(-7)*(-3)}

= 12100 + (-10)*110 + 21

= 21200 - 1100 + 21

= 11021

.

➖➖➖➖➖➖➖➖➖➖

.

(90 + 5) (90 + 6)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 90 , a = 5 , b = 6

= (90)² + (5+6)*90 + (5*6)

= 8100 + 990 + 30

= 9120

.

(100 - 5) (100 - 4)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = (-5) , b = (-4)

= (100)² + { (-5) + (-4) }*100 + 20

= 10000 + (-9)*100 + 20

= 10000 - 9000 + 20

= 10020 - 900

= 9120

.

➖➖➖➖➖➖➖➖➖➖

.

(100 + 4) (100 - 4)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = 4 , b = (-4)

= (100)² + { 4 + (-4) }*100 + 4*(-4)

= 10000 + (4 - 4)*100 - 16

= 10000 + 0*100 - 16

= 10000 - 16

= 9984

.

(90 + 14) (90 + 6)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 90 , a = 14 , b = 6

= (90)² + (14 + 6)*90 + (14*6)

= 8100 + 20*90 + 84

= 8100 + 1800 + 84

= 9984"

This answer was in another question

This answer was given by BloomingBud

Step-by-step explanation:

Answer:

1) 9120 2) 11021

Step-by-step explanation:

95 * 96 = (100-5)(100-4) = 10000 - 500 - 400 + 20 = 9120

103 * 107 = (100+3)(100+7) = 10000 + 300 + 700 + 21 = 11021

There is a regular dodecahedron with all the points connected to each other. What is the area if each of the shales formed if the distance between each Point is x?

Answers

Answer:

18581.16

Step-by-step explanation:

The area of each of the shale can be calculated as

distance between each point = x

The area of the regular Dodecahedron

A = [tex]\sqrt[3]{25+10\sqrt{5} } a^{2}[/tex]

where a = number of edges = 30

hence the area of the regular dodecaheron = 18581.16

Eddies saving account has a balance of $140. He deposits $17 for each of the next five weeks. He withdraws $11 in the final week. He wants to use his savings to buy a game system for $210. Do he have enough money to buy the game system?

Answers

Answer:

No. he need 64 more

Step-by-step explanation:

yes he has enough money
140+85=225-11=214
17x5=85

The area of a rectangle is x^2 + 4x - 5. If we factored this out, we would get the lengths and widths of the sides of the rectangle. For what value(s) of x would these side lengths not make any sense? Why?

Answers

Answer:

If X ≤ 1, these side lengths has no sense.

Step-by-step explanation:

We can factored the expression X² + 4X - 5 in a expression in the form:

(X+a) (X+b)

Where a*b = -5 and a+b = 4

That means a could be 5 and b = -1:

(X+5) (X-1)

The side lenghts of the rectangle will not have any sense if ≤ 0. With the factored expression:

(X+5) ≤ 0 ;  If X ≤ -5, these side lengths has no sense.

Also:

(X-1) ≤ 0; If X ≤ 1, these side lengths has no sense.

Both expressions are resumed in:

If X ≤ 1, these side lengths has no sense.

Raj tested hist new flashlight by shining it on his bedroom wall. The beam of light can be described by his equation x^{2}+y^{2}-2x-4y-31=0. How many inches wide is the beam of light on the wall?

Answers

Answer:

Diameter=12 inches

Step-by-step explanation:

Given:

x^{2}+y^{2}-2x-4y-31=0

Using completing the square

x^2 - 2x + 1 + y^2 - 4y + 4 = 31+1+4

(x-1)^2 + (y-2)^2 = 36

Rewrite in the form

(x-h)^2+(y-k)^2=r^2

We have,

(x-1)^2+(y-2)^2=6^2

radius = 6

Diameter =radius ×2

=6 × 2

diameter = 12 inches

1. An average orange has a mass of 270 grams. What is the mass of 8 oranges in kg?
.
.
2. 1 milliliter of ink can print 50 pages of text. If you had 100 gallons of ink then how many pages could you print? 1 gallon = 3.79L
.
.
3. If you are driving 55 miles per hour, how many feet per second are you traveling?
Convert hours to minutes:
Convert minutes to seconds: Convert miles to feet:
.
.
4. Ivan’s car has 40 L gas tank. If gas costs $3.67 per gallon how much does it cost to fill her tank?
1 L = .264 gallons
Convert liters to gallons: Calculate the cost of gasoline:
.
.
5. A child requires a 5 mL dose of medicine each day. How many days would a liter of this medicine last?

Answers

Answer:2.the answer is 189,250pages

Step-by-step explanation:

1L=1000ml

3.785=?3785

1ml=50pages

3785ml=?

The answer is 189,250

5 and 6? i got 3 for both

Answers

Answer:

Hey there!

5. f(4) is 3. f(3) is 2. Thus, f[f(4)]=2

6. g(2) is 3. g(3) is 1. g[g(2)]=1

Hope this helps :)

. An image rotated around its centre point appears unchanged after 180° and 360° turns.
This is an example of:
a) line symmetry
b) rotation symmetry
c) tessellation
d) vertex​

Answers

It's an example of rotation symmetry, if the image appears unchanged. If the rotation symmetry exists there is a one centre point around which an image appears unchanged.

Answer:

It's an example of rotation symmetry, if the image appears unchanged. If the rotation symmetry exists there is a one centre point around which an image appears unchanged.

Please answer this question now

Answers

Answer:

82 degrees

Step-by-step explanation:

Measure of arc ABC = 86*2 = 172 degrees.

Measure of arc DC = 360 - (145+172) = 360-317 = 43 degrees.

Measure of arc BCD = 121+43 = 164 degrees.

Measure of angle A = 164/2 = 82 degrees

the answer is 82 degrees

what is negative 20 plus negative 15​

Answers

Answer:

[tex]\huge\boxed{-35}[/tex]

Step-by-step explanation:

(-20) + (-15)    [ +(-) = - ]

=> -20-15

=> -35

Answer:

-35

Step-by-step explanation:

a negative plus a negative = negative

negative plus a positive = positive or negative (it depends on which is larger)

negative * negative =  positive

negative * positive= negative

negative-negative= negative

use keep change change

i.e., 8-6 -> 8+-6

change the sign of the middle and the sign of the second term.

17
A pipe can fill a tankin h hours. What part of the tank is
filled in x hours.

a) hx
b)h/x
c) x/h
d) h + x

Answers

Answer:

  c)  x/h

Step-by-step explanation:

The rate of filling is 1 tank per h hours, or 1/h tanks per hour. Then in x hours, the amount of filling will be ...

  (x hours)(1/h tanks/hour) = x/h tanks

The part of the tank filled in x hours is x/h.

The sum of three consecutive numbers is greater than 40. The inequality that represents this is x+x+1+x+2>40. Which value of x hold true for the inequality?

Answers

Answer:

x can be any integer greater than 12.

Step-by-step explanation:

x + x + 1 + x + 2 > 40

3x + 3 > 40

3x > 37

x > 12 1/3

x can be any integer greater than 12.

The cost of a pizza at the local pizza shop has a base price of $12 for a cheese pizza, plus $2 for each additional topping? What is the value of the slope?

Answers

Answer:

$2.

Step-by-step explanation:

This is because the base price is $12, which means the constant is 12. The toppings are the only things you can add to the pizza, so the price of each additional topping is the slope of the pizza's cost. The slope is 2 dollars.

Hope this helps!

Answer:

2

Step-by-step explanation:

If we were to write a linear equation in slope-intercept form (y = mx + b where m = slope and b = y-intercept) of this situation, it would be y = 2x + 12 where y is the price and x is the number of toppings. This is because the price for every topping is 2x but the base price doesn't change, therefore it's a constant so it would be + 12. In this case, since m = slope, the slope is 2.

Solve without calculator log54 base 10​

Answers

Step-by-step explanation:

log54 = log(2×3³)

= log2 + log3³

= log2 + 3log3

A student estimated the sum 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815 as: All the numbers begin with a 7 or 8, so use cluster estimation. 8 + 8 + 80 + 8 + 80 + 0.8 = 184.8

Answers

Answer: this not correct ,because in the expression it is not clear , the numbers are neither exactly rounded to nearest tens or tenths.

Step-by-step explanation:

Our total add is

= 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815

When we spherical it up to nearest tens

7.95 = 8.00

8.11 = 8.00

78.5 = 79

8.05 = 8.00

79.4 = 79.0

0.815 = 1

when we estimate the rational numbers with an extra operation once done,our results is

= eight + eight + eighty + eight + eighty + zero.8 = 184.8, isn't correct ,because within the expression it's not clear , the numbers area unit neither precisely rounded to nearest tens or tenths.

for example ,79.4 once rounded to nearest tens = seventy nine,but within the expression eighty (80) is written,which isn't correct.

Similarly,when rounded to nearest tens, 0.815 = 1, however within the expression 0.8 is written,which is wrong.

Similarly,when rounded to nearest tens ,78.5 = 79 , however within the expression eighty ( 80 ), is written,which is wrong

Answer:Sample Response: The numbers are not clustered around a common number. Two of the numbers are very large and one is very small.Step-by-step explanation:PLZS MARK BRAINLIEST NEED THREE TO LEVEL UP IM AT TWO SO PLZS MARK BRAINLIEST

Two students use different methods to solve this multiplication problem:
3/4*-4 2/9
Read each of their methods below and then enter numbers to correctly complete their
work.

Answers

Answer/Step-by-step Explanation:

Given, [tex]\frac{3}{4}*-4\frac{2}{9}[/tex]

Ivy solves this problem by writing each number as a fraction and then multiplies as shown below:

[tex] \frac{3}{4}*-4\frac{2}{9} = \frac{3}{4}* -\frac{38}{9} [/tex]

[tex] = \frac{3}{4}*-\frac{38}{9} = -\frac{3*38}{4*9} = -\frac{1*19}{2*3}[/tex]

[tex]= -\frac{19}{6}[/tex]

Fabian solves this problem by writing the mixed number as a sum and applies the distributive method of multiplication as shown below:

[tex] \frac{3}{4}*-4\frac{2}{9} = \frac{3}{4}(-4 + -\frac{2}{9}) [/tex]

[tex] = \frac{3}{4}*-4 + \frac{3}{4}*-\frac{2}{9} [/tex]

[tex] = -\frac{3}{1} + \frac{1}{2}*-\frac{1}{3} [/tex]

[tex] = -3 + (-\frac{1}{6}) [/tex]

[tex] = -3 - \frac{1}{6} = -3\frac{1}{6} [/tex]

Solve the triangle. A = 51°, b = 14, c = 6

Answers

Answer:  a = 11.24    B = 75.5°       C = 53.5°

Step-by-step explanation:

Use Law of Cosines to find a: a² = b² + c² - 2bc · cos A

Given: b = 14, c = 6, A = 51°

a² = (14)² + (6)² - 2(14)(6) · cos 51°

a² = 196 + 36 - 168 · cos 51°

a² = 232 - 105.72

a² = 126.27

a = 11.24

Use Law of Sines to find B: [tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]

Given: A = 51°, a = 11.24, b = 14

[tex]\dfrac{\sin 51^o}{11.24}=\dfrac{\sin B}{14}\\\\\\\dfrac{14\sin51^o}{11.24}=\sin B\\\\\\\sin^{-1}\bigg(\dfrac{14\sin51^o}{11.24}\bigg)=B\\\\\\75.5^0=B[/tex]

Use Triangle Sum Theorem to find C: A + B + C = 180°

Given: A = 51°, B = 75.5°

51° + 75.5° + C = 180°

126.5° + C = 180°

             C = 53.5°

Other Questions
Julie started to solve the exponential expression (-2).(-2)3 = -2 -2 -2 - ?Which of these explains why Julie gets a negative number for her final answer?The base -2 is a negative number.The exponent 3 is an odd number.The exponent 3 is a positive number.The base - 2 is an even number. Find the side of a square whose diagonal is of the given measure.Given = 15.2 cm You have 9kg of oats and cup scales that gears of 50g and 200g. How in three weighings can you measure 2kg of the oats? Which statement belongs to Daltons atomic theory? Atoms have a massive, positively charged center. Atoms cannot be created or destroyed. Atoms can be broken down into smaller pieces. Electrons are located in energy levels outside of the nucleus. To find (x y) dx + (x + y) dy directly, we must parameterize C. Since C is a circle with radius 2 centered at the origin, then a parameterization is the following. (Use t as the independent variable.) x = 2 cos(t) y = 2 sin(t) 0 t 2 With this parameterization, find the followingsdy=_____dx=_____ Savannah is currently one more than twice the age of her cat, Selena Gomez. In thirteen years, Savannah will be 1.5 times as old as Selena. What is Savannah's current age? Which statement best describes how Nixons resignation speech and the Washington Post article on the resignation address the same subject in different ways? inscribed angles. need answers asap , thank u! Write the equation of the line that passes through (2, 6) and (2, 14) in slope-intercept form. (2 points) Murphy purchases two bags of rice of weights 56 kg and 72 kg. Find the maximum value of weight which can measure the weight of the rice exact number of times. Is this right? Can someone please check? Mary clanged two glasses together, rudely interrupting the conversations going on around her. But why should she care? She was clearly the most interesting person in the room. Once she had the attention of the room, she rose slowly from her seat flaunting her new dress and making sure everyone could see her overly showy jewelry. She stood as still as a statue with all eyes on her. She finally simply said thank you for coming, her words biting the ears of all who heard them. She then sat down satisfied with her actions. What is the authors tone towards Mary?A. She is elegantB. She is beautifulC. She is depressingD. She is snobbish In the basic EOQ model, an annual demand of 40 units, an ordering cost of $5, and a holding cost of $1 per unit per year will result in an EOQ of: Question #1: Select the correct answer. Which one is a run-on sentence? A. A camel can go without water for days and days, he stores water in the hump on his back. B. Since the backroom was vacant, Jim used it as a studio. C. Because John assisted his neighbors, they were able to paint his house twice as fast. D. If that old, half-burned house were reconstructed, someone might buy it and move into it. Which form of hypoxia reflects poor O2 delivery resulting from too few RBCs or from RBCs that contain abnormal or too little hemoglobin?a. hypoxemic hypoxiab. ischemic (stagnant) hypoxiac. anemic hypoxiad. histotoxic hypoxia Michael records the height of 1000 people. This data is a normal distribution and the sample mean was 0.75. Identify the margin of error for this data set. Match each character type with its description. dynamic character round character flat character static character a character who has few personality traits arrowRight a character who doesn't change over time arrowRight a character who changes over time arrowRight a character who has a complex personality arrowRight Reset Next 1.29 PMTRY ITRead to Learn an Explanation of the UnknownIn the beginning there was absolutelynothing, and what existed was covered bydeath and hunger. He thought, "Let mehave a self." and he created the mind. Ashe moved about ... water was generatedFroth formed on the water... [whichsolidified to become earth ... Afterresting, he divided himself in three parts[fire, sun, and air).... He caused his self tosplit into two matching parts... and fromthem arose husband and wife....andfrom their union arose the human beingsof the earth...She changed to a cow...he changed to a bull... and from theirunion cows arose.What elements of creation does this mythexplain? Check all that applythe ability to thinkthe ability to writewater and landU fire, sun, and airpredators and preypeople and animalsDONE) Intro In an addendum to the purchase and sale contract, the seller agrees to paint the house before conveying the house to the buyer. The weather changes, and the seller is unable to finish painting the house before closing. This is an example of _______. What are the roots of the quadratic equation below?x2 + 2x= -5