All categories

3 years ago

One of two complementary angles is 12 degrees greater than the other. Find the measure of the larger angle.

Mathematics

1 answer:

stiks02 [169]3 years ago

8 0

Answer:

39,51

Step-by-step explanation:

Complementary angles add to 90 degrees

Let one angle be x

The other angle is x+12

x+ x+12 = 90

Combine like terms

2x+12 = 90

Subtract 12 from each side

2x+12-12 = 90-12

2x = 78

Divide each side by 2

2x/2 = 78/2

x =39

The other angle is 39+12 =51

You might be interested in

Pls help me I’m begging u just please

klemol [59]

Answer:

9535 g

9225 g or

9714 g

Step-by-step explanation:

4523g+5012g =9535g

4523g+4702g= 9225g

5012+4702g=9714g

5 0

3 years ago

Read 2 more answers

An engineer is trying to design a runway for an airport. He knows that airplanes have the ability to accelerate at 3.3 m/s ^ 2 a

chubhunter [2.5K]

Answer:

The proposed 1600 meters runway length is not long enough

Step-by-step explanation:

The given parameters are;

The amount by which a plane can accelerate = 3.3 m/s²

The time it takes for a plane to lift off the ground = 35 seconds

The length of the runway on the blueprint = 1,600 meters

Therefore, from the equation of motion for distance traveled, s, acceleration, a, and time taken, t, we have;

s = u·t + 1/2·a·t²

Where;

u = The initial velocity

t = 35 seconds

a = 3.3 m/s²

Given that all planes will start motion from rest, we have;

u = 0 m/s

Therefore;

s = 0 × 35 + 1/2 × 3.3 × 35² = 2021.25 meters

Which indicates that the length of the runway a plane would need for take off should be at least 2021.25 meters long, therefore, the blueprint's 1600 meters runway length is not long enough.

7 0

3 years ago

Jake built a skateboard ramp, if the distance of the ramp is 10 ft. The ramp rises a

ikadub [295]

Answer:

Angle made by ramp with ground is ≈ $19.29^{\circ}$

Step-by-step explanation:

Diagram of given scenario is shown below.

Given that,

Horizontal Distance of Skateboard ramp is $10$ ft.

Height of Skateboard ramp is $3.5$ ft.

From figure,

It is forming a Right angle triangle $\triangle ABC$ .

In $\triangle ABC$ , $AB=3.5$ and $BC=10$ .

Clearly see that we need to find measure of angle $\angle C$ .

Using Trigonometric ratio:

$Tan(\theta)= \frac{Perpendicular}{Base}$

So, $Tan(\angle C) = \frac{AB}{BC} =\frac{3.5}{10} =0.35$

Then $\angle C=Tan^{-1} (3.5)=19.290046^{\circ}$

Therefore, Angle made by ramp with ground is ≈ $19.29^{\circ}$

8 0

3 years ago

Need help pls .......

sukhopar [10]

Answer:

It should be the last one because rigid transformations doesn't change in size just where it is

7 0

3 years ago

How to Increase 8 by 9.4%

Fed [463]

Answer:

75.2

Step-by-step explanation:

multiple 8 by 9.4

4 0

3 years ago