find the exact length of side a.​

Find The Exact Length Of Side A.

Answers

Answer 1

Answer:

Step-by-step explanation:

I think the best way to do this is to find B using the cos law. The two other angles are equal

b = 3sqrt(3)

a = 3

c = 3

b^2 = a^2 + b^2 - 2ab*cos(B)

(3sqrt(3)^2 = 3^2 + 3^2 - 2*3*3 * cos(B)

27 = 9 + 9 - 18*cos(B)

27 = 18 - 18*cos(B)

9 = - 18*cos(B)

9/-18 = cos(B)

-1/2 = cos(B)

B = cos-1(-1/2)

B = 120

<A + <C + 120 = 180

<A = <C

2A + 120 = 180

2A = 60

A = 30

The question says angle A so that's what I did.


Related Questions

Use a table of values to graph the function ƒ(x) = + 4. Select the correct graph below.

Answers

Answer:

C.

Step-by-step explanation:

+4 in the function means the graph crosses the y axis at +4

Answer:

C)

Step-by-step explanation:

See the figure below. I made a table using a different color for each point. I plotted all points in all graphs. Clearly, graph C) is the graph of the given function.

Captain Liz is going to load her cruise ship with bags of sugar. She has room for 19 bags of sugar. She has allotted for 121 pounds of sugar on her ship. She can choose from 7-pound bags (the variable s) or 10-pound bags (the variable p). Which equations would be a constraint to Captain Liz maximizing her sugar load?

Correct answers with explanations will earn you brainliest :)

Answers

Answer:

[tex]19 = s + p[/tex] and [tex]121 = 7s + 10p[/tex]

Step-by-step explanation:

First we use constraints given by the problem to set up two equations:

We can only have a total of 19 bags, so:

[tex]19 = s + p[/tex]

Then, we want to maximize her sugar load. Using the info on the weight of each bag and the max carrying capacity:

[tex]121 = 7s + 10p[/tex]

Answer:

Step-by-step explanation:

Let the sugar from 7 pound bags be represented by = s

And let the sugar from 10 pound bags be represented by = p

As given, Captain Liz has room for 19 bags of sugar.

This becomes [tex]s+p=19[/tex]      .......(1)

Also given is , she has room for 19 bags of sugar, so equation becomes:

[tex]7s+10p=121[/tex]     ............(2)

Hence, these are the correct equations.

Find the measure of each angle indicated

Answers

Answer:

13. 100* : 14. 111* : 15. 125* : 16. 47*

Step-by-step explanation:

13. Same side interior angles add to 180.

14. Alternate interior angles equal each other.

15. Alternate interior angles equal each other.

16. Opposite angles equal each other.

If 420 women at a conference comprise 40% of all the people at the conference, how many people are at the conference?

Answers

Answer:

1050 people

Step-by-step explanation:

if there are x people at a conference

then 40% of x = 420

40% can be written as 40/100 --> 4/10 --> 2/5

2/5 * x = 420

x = 420 * 5/2

x = 1050

2 tablespoons =
A) 3 teaspoons
B) 2 fluid ounces
C) 1 fluid Ounce
D) 1 teaspoon

Answers

Answer:

C) 1 fluid Once

Step-by-step explanation:

The answer is C. 1 fluid ounce

y is the element of the set {1.5, 7.2, 3.4, 4.1, 8.9, .75} and 5Y ÷ 6 is an integer. What is the value of Y

Answers

Answer:

7.2

Step-by-step explanation:

5y = 5 *7.2 = 36

36 ÷ 6 = 6

So, y = 7.2

3. The vertices of trapezoid WXYZ are W(-2, 4), X(-3, 2), Y(-3, 1), and Z(-2, 1).
Which figure shows the image of trapezoid WXYZ for a glide reflection where the translation is (x, y) - (x + 2, y) and the line of
reflection is y = 0?

Answers

Step-by-step explanation:

I don't know, if I see the full picture. I see only 2 diagrams.

since the line of reflection is y=0 (= the x-axis), it can be only the upper diagram.

and something might be wrong with your translation description.

but as I said, given these two choices, due to the line of reflection, it can be only the upper diagram.

A birdwatcher on a cliff saw an eagle 8 meters below him. Earlier, he had spotted the eagle 9 meters below him. What is the difference from earlier to now? ___ meter(s)

Answers

Answer:

1 meter

Step-by-step explanation:

Previous spot of the eagle = 9 meters below him

Present spot of the eagle = 8 meters below him

What is the difference from earlier to now?

Diffetence in the spotting = Earlier position - present position

= 9 meters - 8 meters

= 1 meter

hello, help needed...again. 35 points !!! please show work for both. thank you:)) due today.

Answers

Answer:

16 direct

17 indirect

Step-by-step explanation:

16.

If it is a direct variation

y/x = constant

4/-2  -2

-8/4 = -2

-12/6 = -2

This is a direct variation

17.

y/x = -1/2 /-2 = 1/4

y/x = -1/-1 = 1

This is not a direct variation

If it is an indirect variation then

yx = constant

-1/2 * -2 = 1

-1*-1 =1

3 * 1/3 =1

This is an indirect variation

A regular hexagon has a radius of 20 in. What is the approximate area of the hexagon?

600 in.2
1,038 in.2
1,200 in.2
2,076 in.2

Answers

Answer:

B

Step-by-step explanation:

A=(3*sqrt(3)*a^2)/2

A=(3*sqrt(3)*400)/2=1038

Answer:

B.  1,038 in.2

Step-by-step explanation:

I need helppppp!!!!!!!!

Answers

Answer:

√124

Step-by-step explanation:

Using the Pythagorean theorem, We got: x^2 + (√101)^2 = 15^2

x^2 + (√101)^2 = 15^2

x^2 = 15^2 -  (√101)^2

x^2 = 225 - 101

x^2 = 124

x = √124

The answer is √124

Caroline,Colin & Sarah share some money in the ratio 5:9:6.
In total, Caroline and Sarah receive £44. How much does Colin get?

Answers

Answer:

Caroline gets 4*5 = 20 pounds

Colin gets 9 * 4     = 36 pounds

Sarah gets 6*4      = 24 pounds.

Step-by-step explanation:

The ratios are 5x + 9x + 6x

5x + 6x = 11x

Caroline and Sarah get a total of 44 pounds. They don't get 44 pounds each.

11x = 44            Divide by 11

x = 44/11

x = 4

Colin gets 9x

x = 4

9*4 = 36

Colin gets 35 pounds.

Caroline gets 4*5 = 20 pounds

Colin gets 9 * 4     = 36 pounds

Sarah gets 6*4      = 24 pounds.

Caroline and Sarah get 20 + 24 = 44

Given: F(x) = 2x^2+ 1, G(x) = 2x - 1, H(x) = x
F-2) =

Answers

Answer:

Step-by-step explanation:

1. Giles thinks that -5x²(3x - 4) simplifies to 15x² + 20x². Explain what mistakes he made. What is the
correct answer?

Answers

Answer:

The mistake was minus sign before the 15 and putting 15x² instead of 15x³.

The correct answer is:

[tex]-5x^{2} (3x-4)\\ = -15x^{3} + 20x^{2}[/tex]

which expression is equivalent to (4 square root 5 to the power of 3) to the power of 1/2

Answers

The answer is A :) 5^3/8

P/4+=16
Pls show work!!

Answers

Answer:

64 is the answer

Step-by-step explanation:

p / 4 = 16

p = 16 x 4

p = 64

ASAP!!!!!!!
What is the range of the inverse of the given function?

[tex]f(x) = \sqrt{x} -2[/tex]

a) [2, ∞)
b) [-2, ∞)
c) (∞, 2]
d) (2, ∞]

Answers

Answer:

[2 , ∞)  

Step-by-step explanation:

y = sqrt( x-2)

The domain is the values that x can take

Since we have a square root

Domain: [2 , ∞)  since the square root must be greater than or equal to zero

The range is the values that y can take

The square root starts at 0 and increases

Range [0,∞)

The inverse swaps the domain and range

Range: [2 , ∞)  

Domain [0,∞)

Answer: it’s A on here but check which is A on your test

Step-by-step explanation:

Instructions : Find EX if JX = 17 plz help I don’t understand

Answers

Answer:

EX = 51

Step-by-step explanation:

The 3 intersecting lines in the triangle are medians.

The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, that is

EJ = 2 JX = 2 × 17 = 34 , then

EX = EJ + JX = 34 + 17 = 51

Which expressions are equivalent to 2^5•2^4? Check all that apply.

Answers

Answer:

2⁵×2⁴=2⁹

2⁵×2⁴=2×2×2×2×2×2×2×2×2

2⁵×2⁴=4⁵

2⁵×2⁴=8³×2

Answer:

[see below]

Step-by-step explanation:

Recall the product rule: [tex]a^x+a^y=a^{x+y}[/tex]

[tex]2^5 + 2^4 = 2^{5 + 4} = \boxed{2^9}[/tex]

Other expressions could be:

[tex]2^{-2} *2^{11}=2^{-2+11} = \boxed{2^9}[/tex]

[tex](2*2*2*2*2)(2*2*2*2) = 2^5 + 2^4 = \boxed{2^9}[/tex]

Hope this helps.

Davit and Mila are both travelling by train.
Davit's train travels 90 km in 50 minutes.
Mila's train travels 210 km.
It leaves at 12:05 and arrives at 13:35.
Work out the difference, in km/h, between the average speed of their trains.

Answers

Answer:

32 km/h

Step-by-step explanation:

Davit's Train travels at 108 km/h

Mila's train travels at 140 km/h

140-108=32

Therefore the difference in their average speed is 32 km/h

A group of ten people is going to play ball this weekend . Four will play basketball : half as many people will play baseball , and the rest will play soccer. How many people will play soccer?

Answers

Answer:

4

Step-by-step explanation:

Four people will play basketball, so 10 - 4 = 6.

Half as many people will play baseball, and half of 4 is 2, so 6 -2 = 4.

The rest will play soccer, which is 4.

Solve the following system of equations by graphing. Label the solution and all intercepts.
4x-2y=8
y=1/2x+2
Please show me also how to graph it. Thanks a ton!

Answers

Answer:

(4,4)

y = 4

x = 4

Step-by-step explanation:

First we need to input y = 1/2x + 2 into 4x - 2y = 8.

4x - 2 (1/2x + 2) = 8 <-- Then solve

4x - 1x + -4 = 8

3x - 4 = 8

    +4   +4

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

3x    =    12

3             3

x = 4

Now we need to use x and apply it to find y.

y = 1/2x + 2

y = 1/2(4) + 2

y = 2 + 2

y = 4

Now to graph go on the x axis (horizontal axis) and go to 4, then up 4 on the y axis.

You need to graph the point (4,4).

I hope this helps!

Answer:

see graph  (4,4)

to manually graph just pick any two values for X in the first equation and calculate the corresponding Y value ... put a "dot" (a point on the graph)

do for both points , and draw al LINE between them...

repeat fore the second equation... the "solution" is where the two lines cross

Step-by-step explanation:

5) where 2 coins are toased find the probability of getting:
1)both the coins with some place
2)both the coins with different place
3)at least one tail
5)at the most one head

Answers

Step-by-step explanation:

Let S be the sample space

S={HH, HT, TH, TT}

n(S)= 4

A: both the coins with some place

B: both the coins with different place

C:at least one tail

D:at the most one head

1) A={TT,HH}

n(A)=2

P(G)= n(A)/n(S)

= 2/4

= 1/2

2) B ={HT, TH}

n(B) = 2

P(B) = n(B)/n(S)

= 2/4

= 1/2

3) C= {HT, TH, TT}

n(C)=3

P(C) = n(C)/n(S)

= 3/4

4). D={HT, TH}

n(D) = 2

P(D) = n(D)/n(S)

= 2/4

=1/2

Need help ASAp plz and thank you

Answers

Answer:

pls use calculater

Step-by-step explanation:

because i also dont know now what shall i do so its a good suggestion for you i hope

Someone please help out

Answers

The answer to this question, I believe it is D.

Answer:

Option D

Step-by-step explanation:

Alternate Interior angles are angles that are on the opposite sides of the transversal line (which is the line that cuts across the two parallel lines) and are on the inside of the two parallel lines which in this case is Option D.

what is the reason for statement 8
a. third angle theorem
b. triangle proportionality theorem
c. congruent complements theorem

Answers

i need points sorry about this

The diagonals of a quadrilateral must be bisect each other and be perpendicular to gurarantee that the quadrilateral is a parrelogram

Answers

Answer:

False

Step-by-step explanation:

A quadrilateral is a closed geometrical figure that have four sides and four vertices. Thus the following includes in a quadrilateral : parallelogram, square, rhombus, rectangle and trapezium.

If the diagonals of the quadrilateral bisects each other and are perpendicular to each other, then the quadrilateral forms a rhombus.

Hence the answer is FALSE.

can someone please help me with this?!?!!

Answers

Answer:

I can't help but I hope you succeed

reduce
0.1 x squared - 8.1 x + 8 = 0 to
2x squared - x + 80 = 0

Answers

Answer:

x = 8

x = -10

Step-by-step explanation:


A bag of rare spice that weighs 2/3 pounds will be split equally among 12 people. How much spice will each person get

Answers

Answer:

1/18 pound each

Step-by-step explanation:

Take the number of pounds and divide by 12 people

2/3 ÷12

Copy dot flip

2/3 * 1/12

Rewriting

2/12 * 1/3

1/6 * 1/3

1/18 pound each

Answer:

Each person will get 1/18 pounds of spice from the bag

Step-by-step explanation:

Divide 2/3 by 12:

Make 12 a fraction by adding 1 as the denominator:

2/3 ÷ 12/1

Reciprocate the second fraction:

2/3 ÷ 1/12

Turn it into multiplication:

2/3 x 1/12 = 2/36

SIMPLIFY 2/36:

2/36

Divide both sides by 2:

1/18

so your answer is 1/18

I hope I helped!

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