All categories

2 years ago

Solve the triangle. A = 46°, a = 31, b = 27

Mathematics

1 answer:

Mrrafil [7]2 years ago

6 0

Answer:

C. B=38.8, C=95.2, c=42.9

Step-by-step explanation:

Find B by using sine rule

sin 46/31=sin B/27

sin B= 27 sin 46/31

B=sin‐¹(0.627)

B=38.8

Find C

C= 180-(A+B)

C=180-(38.8+46)

C=95.2

Using sine rule, Find c

31/sin 46=c/sin 95.2

c=31 sin 95.2/sin 46

c=42.9

You might be interested in

A new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year. What will the value of the car be,

Mademuasel [1]

For this case we have an exponential equation of the form:

$y = A (b) ^ x$

Where,

A: initial value
b: decrease rate
x: number of years

Substituting values in the given equation we have:

$y = (173000) (0.9075 ^{15})\\y = 4034.1$

Answer:

The value of the car after 15 days is given by:

$y = 4034.1$

4 0

4 years ago

Read 2 more answers

The size of a cell is typically found by capturing an image under a microscope then using software to measure its diameter.

trasher [3.6K]

Answer:

8.95 x 10^-3

kakanansjammz

8 0

3 years ago

Read 2 more answers

Sharonda is plotting quadrilateral PQRS on the graph below. She will plot the fourth and

lana [24]

Answer:

11 units

Step-by-step explanation:

Length of side PS can be calculated using the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Where,

$P(-2, 5) = (x_1, y_1)$ (the coordinate of P is gotten from the graph)

$S(9, 5) = (x_2, y_2)$ (given)

$PS = \sqrt{(9 - (-2))^2 + (5 - 5)^2}$

$PS = \sqrt{(11)^2 + (0)^2}$

$PS = \sqrt{121} = 11 units$

3 0

4 years ago

A 5-foot tall person standing with her back to the sun casts an 12-foot long shadow. To the nearest degree, what angle does the

swat32

Answer:

23°

Explanation:

1) Data:

a) height of the person = opposite-leg to the angle the sun makes with the ground = 5 ft

b) length of the shadow = adjacent-leg to the angle the sun makes with the ground = 12 ft

c) angle, α = ?

2) Solution

tanα = opposite-leg / adjacent-leg

tanα = 5 ft / 12 5t = 5/12

α = arctan(5/12) = 22.6°

22.6° rounded to the nearest degree is 23° ← answer

5 0

3 years ago

Plz help me with thisss

Lana71 [14]

Answer:

I'm pretty sure it's only B and D

6 0

3 years ago