All categories

3 years ago

5 times the complement of an angle is 15 more than two times the supplement of the angle. Find the angle,

Mathematics

1 answer:

USPshnik [31]3 years ago

8 0

Answer:

The angle measures 25°; the complement measures 65°; the supplement measures 155°.

Step-by-step explanation:

The sum of the measures of two complementary angles is 90.

If the angles measure x and y, then x + y = 90.

Given angle x, then y = 90 - x.

The sum of the measures of two supplementary angles is 180.

If the angles measure x and y, then x + y = 180.

Given angle x, then y = 180 - x.

Let the angle be x.

Its complement is 90 - x.

Its supplement is 180 - x.

5(90 - x) = 2(180 - x) + 15

450 - 5x = 360 - 2x + 15

-3x = -75

Angle: x = 25

Complement: 90 - x = 90 - 25 = 65

Supplement: 180 - x = 180 - 25 = 155

Answer: The angle measures 25°.;, the complement measures 65°; the supplement measures 155°.

Read more about lines at:

brainly.com/question/5830373

8 0

3 years ago

Two metal disks, one with radius r = 2. 50 cm and the other with radius r = 5. 00 cm are welded together and

vova2212 [387]

The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.

<h3>What is moment of inertia?</h3>

Moment of inertia is the quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation.

Using the formulas to calculate the moment of inertia of a solid cylinder:

I = ½MR²

Where;

I = moment (kgm²)

M = mass of object (Kg)

R = radius of object (m)

Total moment of inertia of the two disks is expressed as: I = I(1) + I(2)

That is;

I = ½M1R1 + ½M2R2

According to the provided information;

R1 = 2.50cm = 0.025m

M1 = 0.800kg

R2 = 5.00cm = 0.05m

M2 = 1.70kg

I = (½ × 0.800 × 0.025²) + (½ × 0.05² × 1.70)

I = (½ × 0.0005) + (½ × 0.00425)

I = (0.00025) + (0.002125)

I = 0.002375

I = 2.375 × 10-³ Kgm²

Hence The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.

To know more about moment of inertia follow

brainly.com/question/14460640

#SPJ4

4 0

2 years ago

a particle moves along the x-axis so that anytime t comma measured in seconds it's position is given by...

Natali5045456 [20]

Given the position function s(t), you can get the acceleration function by differentiating s twice:

velocity = s'(t) = -5 sin(t ) + 3 cos(3t )

acceleration = s''(t) = -5 cos(t ) - 9 sin(3t )

Then when t = π, the particle's acceleration is

s''(π) = -5 cos(π) - 9 sin(3π)

… = -5 • (-1) - 9 • 0 = 5

7 0

3 years ago

I need help on this question can some help

guapka [62]

Answer:There’s a that you can download with a ton of edginuity answers if you type down edginuity answers and hit the pdf by reservamesa and you can find some.

Step-by-step explanation:

5 0

3 years ago

WILL REWARD/// BRAINLIEST/// 20 POINTS

eimsori [14]

Right triangles have 3 sides and can be named according to an angle other than the 90 degree one. They are named opposite, adajacent, and hypotenese.
Then use SOHCAHTOA.
SOH means sin equals opposite/hypotunse.
CAH means cosine equals adjacent/hypotnuse.
TOA means tagent equals opposite/adjacent.
Hard to explain without a diagram. :)

4 0

3 years ago