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2 years ago

Delta Math:Angle Terminology with Equations

Mathematics

1 answer:

Sphinxa [80]2 years ago

3 0

Answer:

∠A = 94°

Step-by-step explanation:

Two angles are called supplementary when their measures add up to 180°.

Therefore, if ∠A and ∠B are supplementary:

⇒ ∠A + ∠B = 180

⇒ (2x + 10) + (2x + 2) = 180

⇒ 4x + 12 = 180

⇒ 4x = 168

⇒ x = 42

To find ∠A, substitute found value of x into the expression for ∠A:

⇒ ∠A = 2(42) + 10 = 94°

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PLz help will mark brainliest +25pts

Paha777 [63]

Answer:

54.8 Nm

Step-by-step explanation:

Torque is the cross product of the radius vector and force vector:

τ = r × F

Another way to write it is the product of the radius and force magnitudes times the sine of the angle between the vectors.

τ = rF sin θ

Here, r = 0.366 meters and F = 155 Newtons. F is in the +y direction, and r is 15° below the +x axis, so the angle between the vectors is 90° − 15° = 75°.

τ = (0.366 m) (155 N) (sin 75°)

τ = 54.8 Nm

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3 years ago

An insurance company has written 52 policies of $50,000, 477 of $25,000, and 918 of $10,000

Ede4ka [16]

The amount of money that the company can expect to pay during the year the policies were written is; $25005

<h3>How to find the expected Value?</h3>

The probability that a person will die at age 20 = 0.001

Revenue from 52 policies = 52 * $75,000 = $3,900,000

Revenue from 477 policies = 477 * $25,000 = $11,925,000

Revenue from 918 policies = 918 * $10,000 = $9,180,000

Total revenue from all policies = $3,900,000 + $11,925,000 + $9,180,000

Total Revenue from all Policies = $25,005,000

Expected amount to pay out during the year the policies were written = $25,005,000* 0.001 = $25,005

Thus, the company can expect to pay out $45,000 over the year after the policies were written.

Read more about Expected Value at; brainly.com/question/19168423

#SPJ2

8 0

2 years ago

Read 2 more answers

Which is the best estimate for the sum of 3/8 and 1/12¿

SashulF [63]

Estimating is an educated guess, so 3/8 is just less than half, and 1/12 is just a bit more than 0. So you could estimate that 3/8 + 1/12 = roughly 1/2

<span> if you add 3/8 and 1/12 you get 11/24</span>

4 0

3 years ago

Mary drives 33 miles in 3/5 of an hour. After 6 hours of traveling, how far will she drive?

Minchanka [31]

Answer:

550 miles

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

A circular target is divided into four rings that have equal areas. If the radius of the target is 24cm, find the radius of the

MAVERICK [17]

THE AREA OF THE RING WHICH IS INSIDE CIRCULAR TARGET IS 12CM.

Step-by-step explanation:

A circular target which is divided into four rings of equal areas as given in the information

The area of the circular target is

Area = $\pi$ * R².

As per the given data radius of the target 'R' is 24cm,

Area of circular target = $\pi$ * 24²

=> 576 $\pi$ .

let us consider radius of ring equals to 'r',

So, each of the ring has area of

=> Area of ring = ( $\pi$ * 576) / 4

=> 144 * $\pi$

Now let us consider area of the small ring inside circular target

Area of ring = $\pi$ * r²

$\pi$ * r² = 144 $\pi$

Taking off the $\pi$ from both sides

r² = 144

r = 12.

Therefore radius of ring which is inside circular target is 12 cm.

6 0

4 years ago