A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = One-halfbh 68.7 cm2 161.8 cm2 381.3 cm2 450.0 cm2

Answers

Answer 1

Answer:

  161.8 cm²

Step-by-step explanation:

The given formula works if you have both legs of the triangle. Using the given information, a better formula is ...

  A = (1/2)ab·sin(C) . . . . C is the angle between sides 'a' and 'b'

  A = (1/2)(27.6 cm)(30 cm)sin(23°) ≈ 161.8 cm²

Answer 2

Answer:

B on edg 2020

Step-by-step explanation:

Just took test


Related Questions

Write the ratio as a fraction in simplest form.
0.65 to 0.15

Answers

Answer:

13/3

Step-by-step explanation:

Write as a fraction first,

0.65/0.15

convert decimal to fractions,

13/20/3/20 = 13/3

a shopkeeper allows 10% discount on his goods to make 20% profit, if he sold a watch for Rs.10170 with 13% vat, by what percent is the discount to be increased to make only 12% profit

Answers

Answer:

16% of MP

Step-by-step explanation:

Key concepts to learn :

Discount is always applied on marked price.

Profit = SP - CP

VAT is applied on Selling Price

SP = 10170/113 x 100 = 9000

If profit is 20% then :

CP = 9000/120 x 100 = 7500

MP = 9000/90 x 100 = 10000

For 12% profit, SP = 7500 x 112/100 = 8400

=> SP = 8400/10000 x 100 = 84% of MP

=> Discount = 16% of MP

An isosceles triangle has a vertex angle of 26°. Two sides of the triangle are each 15 ft long. Find the area of the triangle. A. 9.931 sq ft B. 98.629 sq ft C. 45.543 sq ft D. 49.314 sq ft

Answers

Answer:

D. 49.314 ft²

Step-by-step explanation:

Area = 1/2 s² sinФ

= 1/2 * 15² * sin(26)

= 49.314 ft²

when a watch is sold at ksh.126 a loss of x% is made if sold at ksh.154 aprofit of x%is realized .find the buying price​

Answers

Answer:

ksh 140.

Step-by-step explanation:

when a watch is sold at ksh.126 a loss of x%. This can be summarised as follow:

Selling price (Sp) = ksh 126

Percentage loss = x%

Cost price (Cp) =?

Percentage loss = Cp – Sp/Cp x 100

x% = Cp – 126/Cp .......(1)

if sold at ksh.154 a profit of x% is realized. This can be summarised as follow:

Selling price (Sp) = ksh 154

Percentage gain = x%

Cost price (Cp) =?

Percentage gain = Sp – Cp/Cp x 100

x% = 154 – Cp/Cp..... (2)

Equating equation 1 and 2, we have:

x% = Cp – 126/Cp .......(1)

x% = 154 – Cp/Cp..... (2)

Cp – 126/Cp = 154 – Cp/Cp

Cross multiply

Cp(Cp – 126) = Cp(154 – Cp)

Cancel out Cp

Cp – 126 = 154 – Cp

Collect like terms

Cp + Cp = 154 + 126

2Cp = 280

Divide both side by 2

Cp = 280/2

Cp = 140

Therefore, the cost price otherwise known as the buying price is ksh 140.

In this activity, you will help Darin compare the unit prices, in price per pound, of clementines and navel oranges. Clementines are sold in three-pound bags, and navel oranges are sold by the pound. The table represents the cost of three-pound bags of clementines. Number of Bags Cost 1 $5.00 2 $10.00 3 $15.00 The equation c = $1.49p represents the cost of the navel oranges, where c is the cost and p is the number of pounds. Darin needs to know the price per pound of clementines. What needs to change in the table so that the data on clementines is in units of pounds and cost?

Answers

Answer:

The table gives the cost for the number of three-pound bags of clementines. you need to change the number of bags to pounds to be able to get the data for the clementines in units of pounds and cost.

Step-by-step explanation:

each of the bags are three pounds each so 1 bag times 3, 2bags times 3, and then 3bags times 3, hope this answers your question.

The table gives the cost for the number of three pounds bag of clemintines we need to change the number of bags to pounds to get the data or clemintines in units of pounds and cost.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that Clementines are sold in three-pound bags, and navel oranges are sold by the pound

The table represents the cost of three-pound bags of clementines.

Number of Bags           Cost

      1                             $5.00

     2                              $10.00

      3                             $15.00

The equation c = $1.49p represents the cost of the navel oranges, where c is the cost and p is the number of pounds.

The table gives the cost for the number of three pounds bag of clemintines we need to change the number of bags to pounds to get the data or clemintines in units of pounds and cost.

To learn more on Statistics click:

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Which equation can be used to solve for x in the following diagram? Choose 1 answer. 2x° degrees, 4x° degrees, 150° degrees

Answers

Answer:

The answer is option D.

Step-by-step explanation:

Hi, there!!!

Here, if you closely look this figure, you will find that AB and CD are interested at a point O.

now, OP is just a line constructed from point "O".

now, 2x°+4x°=150°.....is equation.

{Because, They are vertically opposite angle}

When two st. line intersects at a point then the abgle formed oppositely are equal.

Hope it helps..

The largest circular shape my piece of string can form has a diameter of 8 cm long. How long is the diameter of the largest circular shape that half my piece of string can form?

Answers

Answer:

4 cm long

Step-by-step explanation:

since the original diameter was 8cm long we need to cut 8 in half. this leaves us with 4cm which is the diameter of the largest circular shape that half piece can form.

The diameter is also known as the length of lines from the center which connects two points of the circle's edge.The radius of a circle is the distance between both the circle's center as well as the location of its circumference. "r" is commonly used to refer to it.It is because the original diameter was 8 cm in length. Thereafter, we have 4 cm of circumference left to play with.Therefore the answer is "4 cm".

Learn more:

Diameter: brainly.com/question/5501950

2(2x-5y)(3x+4y)-6(2x-5y)(x-y) factorise by taking out the common factors

Answers

Answer:

 

Factorise : 2(2x-5y)(3x+4y)-6(2x-5y)(x-y). = (2x-5y){2(3x+4y) - 6(x-y)}. = (2x-5y) × 14y. = (2x-5y) × 14 × y. Answered by Yasmeen Khan | 22nd ...

Step-by-step explanation:

I need help on this question please

Answers

Answer:

12 inches

Step-by-step explanation:

Volume of cone = (πr²h)/3

Volume of cone= 113.04 cubic inches

π = 3.14 r= 3 inches

113.04 = [(3.14)(3²)(h)]/3

113.04= 9.42h

h=12 inches

Last month, Seth made money by selling stocks. His investment income was $401. This month, Seth's investment income is - $261. what does this mean

Answers

Answer:

This means that because of this month Seth's investment income has decreased by 261, and now is $140.

401-261=140

Answer:Seth lost money

Step-by-step explanation:

Since the investment income was $401

And now is -261 meaning that Seth lost money last month

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 23-1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x-7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?


2x14x-6: 22.0 inches

2x14x-6; 32.5 inches

4(2x+4x-6) 88.0 inches

4(2x +48-6:) 130.0 inches

Answers

Answer:

D. 4(2x² + 4x - 6); 130.0 inches

Step-by-step explanation:

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x²+1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?

2x2+4x−6; 22.0 inches

2x2+4x−6; 32.5 inches

4(2x2+4x−6;) 88.0 inches

4(2x2+4x−6;) 130.0 inches

Perimeter of a square = 4 * side length

1- First square pillow

length = 2x²+1 in

Perimeter of first pillow = 4 * (2x²+1) in

Second square pillow

length = 4x-7 in

Perimeter of second pillow = 4(4x-7) in

Total ribbon length required = perimeter of first square pillow + perimeter of second square pillow

Total ribbon length required = 4(2x²+1) + 4(4x-7)

Factorise

4 is the common factor

=4(2x²+1)+(4x-7)

=4(2x²+1+4x-7)

=4(2x²+4x-6)

Total ribbon length required=4(2x²+4x-6)

If x=3.5

Total ribbon length required=4(2x²+4x-6)

=4{2(3.5)²+4(3.5)-6}

=4{2(12.25)+14-6)

=4(24.5+14-6)

=4(32.5)

=130.0 inches

Complete the point-slope equation of the line through (8,−8) (9,8) Use exact numbers. y-8=

Answers

Answer:

y-8=16(x-9)

Step-by-step explanation:

slope m=y2-y1/x2-x1

m=8+8/9-8 ⇒ m=16

y-8=m(x-x1)

y-8=16(x-9)

The equation of the line that is passing through (8, −8) and (9, 8) will be y = 16x − 120.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The points are given below.

(8, −8) and (9, 8)

The equation of the line that is passing through (8, −8) and (9, 8) will be given as,

(y + 8) = [(8 + 8) / (9 − 8)](x − 8)

Simplify the equation, then we have

(y + 8) = [(8 + 8) / (9 − 8)](x − 8)

(y + 8) = 16(x − 8)

y + 8 = 16x − 128

y = 16x − 120

The equation of the line that is passing through (8, −8) and (9, 8) will be y = 16x − 120.

More about the line passing through two points link is given below.

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When computing the standard deviation, does it matter whether the data are sample data or data comprising the entire population? Explain. Yes. The formula for s is divided by n, while the formula for σ is divided by N − 1. Yes. The formula for s is divided by n − 1, while the formula for σ is divided by N. No. The formula for both s and σ is divided by n − 1. No. The formula for both s and σ is divided by N.

Answers

Answer:

Yes. When computing the sample standard deviation, divide by n −1. When computing the population  standard deviation, divide by N

Step-by-step explanation:

Select the correct answer. Which triangles in the diagram are congruent? A. triangle 1 and triangle 2 B. triangle 1, triangle 2, and triangle 3 C. triangle 1 and triangle 3 D. triangle 1, triangle 3, and triangle 4

Answers

Answer:

Triangle 1 and 3

Step-by-step explanation:

Based on a Congruent rule Side angle side :

In triangle 1 and triangle 3 are congruent by side angle side .

Therefore, the answer is triangle 1 and triangle 3.

Answer:

C.

Step-by-step explanation:

I got it right on Plato

El siguiente diagrama A, B, C, D, E, F denotan islas, y las líneas de unión son puentes. El hombre empieza en A y camina de isla en isla. El hombre no puede cruzar el mismo puente dos veces. Hallar el número de maneras que puede hacer su recorrido antes de almorzar.

A-B-C-D
E-F

A esta conectado a B, B a C y C a D. B está conectado a E, C esta conectado a F y hay una linea que conecta E y C

Answers

Answer:

hey good

Step-by-step explanation:

What is the value of m that makes the equation true? 18m- 2+ 7m- 8= -60

Answers

Answer:

m = -2

Step-by-step explanation:

First, let's move all variables to one side of the equation. (Don't forget to change the signs when you move the numbers to the other side.)

18m + 7m = -60 + 2 + 8

Now we simplify to get this:

25m = -50

Now we divide -50 by 25 which gets us -2.

Therefore, m = -2

Hope this helps!

Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. -7.5 and 5.4

Answers

Answer:

-2.1

Step-by-step explanation:

because -7.5 + 5.4 = -2.1

What is the value of the expression below when y = 2 and z
8?

8y - 2​

Answers

A

Step-by-step explanation:

put the 2 instead of y
8(2) -2
16-2
=14

CAN ANYONE HELP ME WITH THIS QUESTION...Plzz

Answers

Answer:

AO and OC

x+8 and 16-x

x+8 = 16-x

x+x= 16-8

2x= 8

x= 8/2

x=4

DO and OB

2y+13 and 5y+4

2y+13 = 5y+4

2y-5y= 4-13

-3y = -9

y= 9/3

y= 3

Step-by-step explanation:

i hope this helps

if this helps let me know

Answer:

Step-by-step explanation:

2y + 13 = 5y + 4 { diagonals of a rhombus bisect each other }

by transposing,

2y - 5y = 4 - 13

-3y = -9

both the minus signs get cancelled,

3y = 9

y = 9/3

y = 3

x + 8 = 16 - x  { diagonals of a rhombus bisect each other }

again by substituting,

x + x = 16 - 8

2x = 8

x = 8/2

x = 4

∴ x = 4 and y = 3

hope this helps

plz mark s brainliest!!!!!!!

Please I need your help. Answer the questions following the grammar rules.
1. How much money do you spend a month on shopping?
2. Who do you normally go shopping with?
3. Do you enjoy shopping? Why? Why not?
4. Do you buy things on the internet? Why? Why not?

Answers

Answer:

Question 1: $100

Question 2: Myself

Question 3: Yes, because you get to buy things you might have been wanting, or saving up for.

Question 4: Yes, because its an easier way of shopping, and gets sent straight to your home.

Step-by-step explanation:

Hope this helps.

1. I spend around $200 a month shopping.
2. I normally go shopping with my mom or my friends.
3. I do enjoy shopping. I like buying stuff I’ve been saving up for or buying stuff for others.
4. I do buy things on the internet. There are a lot of websites that are only online that I like buying from and so I have to order them from there.

5 more than 2 times a number

Answers

Answer:

5+ 2x

Step-by-step explanation:

lets say x is our variable therefore you will multiply 2 to x and then it says 5 more the key word is more therefore you add 5 to your equation

bruce and krista are going to buy a new furniture set for their living room. they want to buy a couch, a coffee table, and a recliner. they have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. how many different furniture combinations are possible? PLEASE ANSWER

Answers

Answer:

180

Step-by-step explanation:

This is becuase 4*5*9 is equal to 180, to find the total number of combinations, you multiply how many of each there are.

If the lateral surface area of a cube is 100 square inches, what is the length of an edge?

Answers

Answer:

Length of an edge=4.0825 inches

Approximately 4.1 inches

Step-by-step explanation:

Lateral surface area of a cube=100 square inches

There are 6 square surfaces on a cube.

6a^2=surface area of a cube

6a^2=100

Divide both sides by 6

a^2=100/6

a^2=16.6667

Find the square root of both sides

√a^2=√16.6667

a=√16.6667

x=4.0825 inches

Length of an edge=4.0825 inches

Answer:

2√5

Step-by-step explanation:

I got it correct on founders edtell

4/5x - 1/10 = 3/10
what is the value of x ?

Answers

Answer:

x = 1/2

Step-by-step explanation:

[tex]\frac{4}{5}x-\frac{1}{10}=\frac{3}{10}\\\\\mathrm{Add\:}\frac{1}{10}\mathrm{\:to\:both\:sides}\\\\\frac{4}{5}x-\frac{1}{10}+\frac{1}{10}=\frac{3}{10}+\frac{1}{10}\\\\\frac{4}{5}x=\frac{2}{5}\\\\\mathrm{Multiply\:both\:sides\:by\:}5\\\\5\times \frac{4}{5}x=\frac{2\times \:5}{5}\\\\4x=2\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4x}{4}=\frac{2}{4}\\\\x=\frac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

isolate variable

solve

5. Brian's cylindrical water tank has a diameter of 4m and a height of 2m.
i) Find the volume of the tank (to the nearest litre)

ii)Find the depth of the water in the tank when it has 2000L of water (to the nearest
centimeter)

Answers

Answer:

i)  25130 Liters

ii) 16 cm

Step-by-step explanation:

The volume of the tank is in cubic meters, not liters.  So the answer to question i) would be 25.13 cubic meters, which equals 25130 Liters.

ii) Now we find the depth.  2000 is 7.959% of 25130.  7.959% of the 2 meter height is 15.917 cm.  Rounded to the nearest cm, it would be 16 cm.

Mia’s house and her aunt’s house are 15.4 inches apart on the map. If every 4 inches on the map represents 10 miles, what is the actual distance from Mia’s house to her aunt’s house, to the nearest tenth of a mile? 2.6 6.2 38.5 61.6

Answers

Answer:

38.5 miles

Step-by-step explanation:

We know that the distance between Mia's house and her aunt's house is 15.4 inches apart.

We also know that every 4 inches on the map represent 10 miles.

4 inches = 10 miles

Divide :

1 inch = 2.5 miles

Multiply the shown distance in the question by the amount of miles per inch

15.4 * 2.5

= 38.5 miles in total.

Answer:

C.)38.5

Step-by-step explanation:

It took the exam:P

NEED HELP..... Select the polynomial that is a perfect square trinomial. 36x^2 − 4x + 16 16x^2 − 8x + 36 25x^2 + 9x + 4 4x^2 + 20x + 25

Answers

Answer: Choice D.  4x^2 + 20x + 25

===============================================

Explanation:

Perfect square trinomials are in the form (a+b)^2 = a^2+2ab+b^2

So the first and last terms must be perfect squares. The middle term is twice that of the square roots of each first and last term.

Choice D fits the description because 4x^2 = (2x)^2 is the first term, so a = 2x and 25 = 5^2 is the last term meaning b = 5. Note how 2ab = 2*2x*5 = 20x is the middle term.

-------------

(a+b)^2 = a^2+2ab+b^2

(2x+5)^2 = (2x)^2+2*2x*5+5^2

(2x+5)^2 = 4x^2 + 20x + 25

Answer:

(2x+5)² or (2x+5)(2x+5)

Step-by-step explanation:

4x²+ 20x + 25

(2x       ) (2x      )     first step 2x*2x=4x²

(2x  +  5   )(2x  +   5  )  the constant sign is plus so it can be ( minus × minus=plus OR plus×plus=plus) look at the middle value it is positive so the two signs are positive or plus sign.

(2x+5)²

please help me.. thanks if you do

Answers

Answer:

B

Step-by-step explanation:

We can graph the line using the y and x-intercepts. To find the y-intercept, we substitute x = 0 into y = -2x - 2 so the y-intercept is (0, -2). To find the x-intercept, we substitute y = 0 into y = -2x - 2 so the x-intercept is (-1, 0). The line that goes through both of these points is line B.

Answer:

B.

Step-by-step explanation:

Here's a picture of me graphing it:

Sorry for dark mode :/

What is the approximate volume of the whole sphere? Use pie=3.14 and round to the nearest whole cubic unit.
a. 42 cubic units
b. 126 cubic units
c. 4,187 cubic units
d. 73,385 cubic units

if you could awnser this as soon as possible that would be great :)​

Answers

Answer:

c. 4187 cubic units

Step-by-step explanation:

V = 4/3 π r³

= 4/3(3.14)(10)³

= 4186.6666666

HELP PLSSSSSSSS ( needed 20 characters)

Answers

Answer:

A

Step-by-step explanation:

It have the same sides!

D, you can see there are two same angles and 1 same sides
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