All categories

2 years ago

Find the missing side. round to the nearest tenth.

Mathematics

1 answer:

horrorfan [7]2 years ago

5 0

Answer:

24) x = 9.2

25) x = 30.8

Step-by-step explanation:

Given

See attachment for triangles

Solving (24)

To solve for x, we make use of cosine formula

i.e.

cos(40) = adjacent ÷ hypotenuse

So, we have:

cos(40) = x ÷ 12

Multiply both sides by 12

12 cos(40) = x

12 * 0.7660 = x

x = 9.2

Solving (25)

To solve for x, we make use of sine formula

i.e.

sin(25) = opposite ÷ hypotenuse

So, we have:

sin(25) = 13 ÷ x

Multiply both sides by

x sin(25) = 13

Divide by sin(25)

x = 13 ÷ sin(25)

Using a calculator

x = 30.8

You might be interested in

Carissa’s gerbil has a tail that is the same length as its body length. Its tail is 102 millimeters. How long is her gerbil in c

soldi70 [24.7K]

Answer:

10.2 cm

Step-by-step explanation:

Divide the tail length by 10

HoPe ThIs HeLpEd youuu! lol :)

4 0

3 years ago

I need help with both of these please I will be giving a brainlyist to the fist person to answer

kodGreya [7K]

A general formula for the volume of a container is V = length x width x height (other words may be used in place of the three given).

3. 900 in^3, the fourth option

V = 20 x 15 x 3

V = 900 in^3

4. 288 in^3, the third option

V = 6 x 6 x 8

V = 288 in^3

Hope this helps!! :)

8 0

3 years ago

Read 2 more answers

The angle θ lies in Quadrant II. sinθ=3/4 What is cosθ ?

Elden [556K]

Hello from MrBillDoesMath

Answer:

[email protected] = - sqrt(7)/ 4

which is choice B

Discussion:

This problem can be solved by drawing triangles and looking at ratios of sides or by using the trig identity:

([email protected])^2 + (sin2)^2 = 1

If [email protected] = 3/4 , the

([email protected])^2 + (3/4)^2 = 1 => (subtract (3/4)^2 from both sides)

([email protected])^2 = 1 - (3/4)^2 = 1 - 9/16 = 7/16

So...... taking the square root of both sides gives

[email protected] = +\- sqrt(7)/ sqrt(16) = +\- sqrt(7)/4

But is [email protected] positive or negative? We are told that @ is in the second quadrant and cos(@) is negative in this quadrant, so our answer must be negative

[email protected] = - sqrt(7)/ 4

which is choice B

Thank you,

Mr. B

4 0

3 years ago

Questione Simplify Cosa + 2Cos(a +240")

melamori03 [73]

Step-by-step explanation:

$\cos(a) + 2 \cos(a + 240)$

$\cos(a) + 2 \cos(a) \cos(240) - \sin(a) \sin(240)$

$\cos(a) + 2( - \frac{ \cos(a) }{2} + \frac{ \sqrt{3} }{2} \sin(a) )$

$\cos(a) - \cos(a) + \sqrt{3} \sin(a)$

$\sqrt{3} \sin(a)$

If you graph the new identity, and the og identiy, they will be conciding graphs, so they are the same identity.

7 0

2 years ago

Is y= 2x cubed +6 linear or non-linear

zhuklara [117]

Non linear because nothing cubed or squared can be linear.
Hope this helps

6 0

3 years ago