All categories

3 years ago

Find a. Round to the nearest tenth.

Mathematics

1 answer:

Kazeer [188]3 years ago

6 0

9514 1404 393

Answer:

21.8 cm

Step-by-step explanation:

A useful way to write the Law of Sines relation when solving for side lengths is ...

a/sin(A) = b/sin(B)

Then the solution for 'a' is found by multiplying by sin(A):

a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)

We need to know the angle A. Its value is ...

A = 180° -75° -31.8° = 73.2°

Then the desired length is ...

a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)

a ≈ 21.8 cm

_____

I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.

You might be interested in

Is x2 - 2 a factor of x4 - 2x3 + 3x2 - 4x + 5 ?

SashulF [63]

Yes it x2 is a factor because at some point and time 2x would cross 4x

6 0

3 years ago

Solve for x. -98=4x-50

alexdok [17]

The answer to your question is x= -12 hope this helps ! Makes sure you put the negative !

3 0

3 years ago

Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs

s344n2d4d5 [400]

Hey there! I'm happy to help!

The only thing we have to do is solve our inequality to find the answer!

30+15x ≥ 90

We subtract 30 from both sides.

15x ≥ 60

Finally, we divide both sides by four.

x ≥ 4

Therefore, Deepak can only accept jobs that last 4 or more hours.

I hope that this helps! Have a wonderful day!

3 0

3 years ago

Read 2 more answers

Find the area of a compound shape Can you please explain

gtnhenbr [62]

Answer:

$A=292.53~m^2$

Step-by-step explanation:

Area of a Compound Shape

The shape shown in the image is made of two shapes: Half a circle of radius 8 m and a triangle of base 24 m and height 16 m.

The area of a circle of radius r is:

$A_c = \pi r^2$

The area of a triangle of base b and height h is:

$\displaystyle A_t=\frac{b.h}{2}$

Calculate the area of the circle:

$A_c = \pi 8^2$

$A_c = 64\pi$

Area of half the circle:

$A_c/2 = 32\pi~m^2$

Area of the triangle:

$\displaystyle A_t=\frac{24\cdot 16}{2}$

$A_t=192~m^2$

The area of the shaded shape is:

$A=32\pi~m^2+192~m^2$

Substituting the value of pi:

$\mathbf{A=292.53~m^2}$

4 0

3 years ago

8 3/5 - ( 1 1/2 x 3 1/5 )

Ber [7]

8 3/5 - (1 1/2* 3 1/5)
= 43/5 - 24/5
= 19/5
= 3 4/5

Final answer: 3 4/5~

6 0

3 years ago