All categories

3 years ago

Pls help :Find the missing side or angle. Round to the nearest tenth.

Mathematics

2 answers:

Nitella [24]3 years ago

7 0

Answer:

C° = 71.6056

Step-by-step explanation:

Law of Cosines: c² = a² + b² - 2abcosC°

Step 1: Plug in known variables

29² = 30² + 15² - 2(30)(15)cosC°

Step 2: Evaluate

841 = 900 + 225 - 900cosC°

-59 = 225 - 900cosC°

-284 = -900cosC°

71/225 = cosC°

cos⁻¹(71/225) = C°

C° = 71.6056

And we have our answer!

ruslelena [56]3 years ago

3 0

Answer:

79.0°

Step-by-step explanation:

The Law of Cosines is used for this purpose. It tells you ...

a² = b² +c² -2bc·cos(A)

Solving for A gives ...

cos(A) = (b² +c² -a²)/(2bc) = (15² +29²-30²)/(2(15)(29)) = 166/870

Using the inverse cosine function, we find the angle to be ...

A = arccos(166/870) ≈ 79.00026°

A ≈ 79.0°

You might be interested in

Find the rectangular prism with the given volume and height<br>V=96ft., h=8ft

Pavel [41]

V = l x w x h
96 = l x w x 8
divide both sides by 8
12 = l x w

the rectangular prisms other dimensions would be any positive combination of numbers that multiplies to 12. <span />

7 0

3 years ago

The radius of the circle is 7 cm. What is the area of the circle in cm2? Leave answer in terms of pi

mash [69]

Answer:

49Pi cm^2

Step-by-step explanation:

Area of a circle = Pi r^2

Radius r = 7

Area = Pi x 7^2

= Pi x 7 x 7

= 49Pi cm^2

7 0

2 years ago

Bradley is purchasing a new car for 37000. If the car loses 20%of its value every year, how much will the car be worth in 7 year

spayn [35]

ANSWER

After 7 years the car will worth, 7,759.5

EXPLANATION

The initial value of the car is 37000.

The rate of depreciation is 20%

In 7 years time, we can calculate the value of the car using the formula,

$A=P(1-r\%)^n$

We substitute the values into the formula to obtain,

$A=37000(1-0.2)^7$

$A=37000(0.88)^7$

$A=7759.5$ to the nearest tenth