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stira [4]
3 years ago
15

Find the missing side length. Round your answer to the nearest tenth.

Mathematics
1 answer:
EastWind [94]3 years ago
5 0

Answer:

5.545

Step-by-step explanation:

This problem can be easily solved by using the law of cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles.

in this case, the formula can be applied in the following way

a^2 = b^2  + c^2  - 2*b*c*cos(α)

Where

a,b,c are each of the sides of the triangle,

α is the angle between sides b and c

(See attached picture)

If we use the formula we get

a^2 = (9)^2 + (6)^2 - 2*(9)(6)*cos(37°)

a^2 = 81 + 36 - 86.2526

a^2 = 30.747

a = sqrt(30.747)

a = 5.545

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Given h (t) = negative 2 (t + 5) squared + 4, find h (negative 8)
kaheart [24]

Answer:

h(-8)= -14

Step-by-step explanation:

h(-8)= -2(-8 + 5)^2  + 4

h(-8)= -2(-3)^2  + 4

h(-8)= -2(9) + 4

h(-8)= -18 + 4

h(-8)= -14

4 0
3 years ago
Klara has decided to file her tax return electronically. How will she benefit from e-filing?
damaskus [11]

Answer:

C.  If she's expecting a tax refund, e-filing can expedite the refund from the IRS.

Step-by-step explanation:

Filing the tax return electronically provides some benefits like doing it in an easy way as the website has a step by step process that guides people through it and it allows to be more accurate as the program checks what you do. Also, it helps to save time and it allows to receive the tax refund faster because e-filing give you the possibility to ask for a deposit on your account instead of waiting for a check to arrive. According to this, the answer is that Kiara will benefit from e-filing because if she's expecting a tax refund, e-filing can expedite the refund from the IRS.

7 0
3 years ago
Which mixed number is represented by the shaded<br> area?
bearhunter [10]

Answer:

1 1/3

Step-by-step explanation:

yeah

8 0
3 years ago
Find the volume. 74yd 54yd 84yd 103yd
ahrayia [7]

The volume of the figure in the attachment is 84 cubic yards

<h3>What is the volume of a figure?</h3>

The volume of a figure or a three-dimensional shape is the amount of space inside the figure or the three-dimensional shape

<h3>How to determine the total volume?</h3>

The complete question is added as an attachment.

From the attached figure, we can see that the three-dimensional shape is a frustum

The volume is then calculated using the following formula

V = 1/2 * (Sum of the parallel bases) * height * side length

From the figure, we have:

Parallel bases = 2 yards and 6 yards

Height = 3.5 yards

Side length = 6 yards

Substitute the known values in the above equation

V = 1/2 * (2 + 6) * 3.5 * 6

Evaluate the product in the above equation

V = 1/2 * (2 + 6) * 21

Evaluate the sum in the above equation

V = 1/2 * 8 * 21

Evaluate the product in the above equation

V = 1/2 * 168

Evaluate the product in the above equation

V = 84

Hence, the volume of the figure in the attachment is 84 cubic yards

Read more about volume at:

brainly.com/question/1972490

#SPJ1

5 0
1 year ago
Briefly explain what the statement F(0) = 32 mean in the context of the given situation
siniylev [52]

Answer:

When x=0 in the function F y= 32

Step-by-step explanation:

6 0
3 years ago
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