Ask question

Ask question

All categories

3 years ago

9

The measure of an angle is fourteen times the measure of its complementary angle. What is the measure of each angle?

2 answers:

JulijaS [17]3 years ago

6 0

Let the measure of the complementary angle be x so that the measure of the other angle is 14x. The total measure of the angles is 180 degrees. Thus, one angle measures 12 degrees. The other angle measures 14*12=168 degrees.

Novosadov [1.4K]3 years ago

6 0

Answer:

6 degrees and 84 degrees

Step-by-step explanation:

So if 2 angles are complementary, it means when added together they equal 90 degrees. Let's call the smaller angle x, meaning the bigger angle, which is 14 times the size of the smaller angle would be 14x. Now let's make that into an equation.

90 = 14x + x

We have to add the x's together

90 = 15x

Now we have to isolate x, so we have to divide by 15 on both sides.

X = 6

So we know that the smaller angle is 6 degrees, meaning that if the bigger angle is 14 times the size, the bigger angle is 84 degrees.

You might be interested in

A particle whose mass is 4 kg moves in xyplane with a constant speed of 2 m/s in the positive x-direction along y = 6 m. Find th

s2008m [1.1K]

Answer: 32.8kgm^2/s

Step-by-step explanation:

1. Angular momentum is a product of linear momentum and the distance of the object from a rotation axis.

2. Linear momentum (L) is given as :

L = mv

Where: m= mass = 4kg

v= velocity= 2m/s

=> L = 8kgm/s

Angular momentum (A) = L x centre distance (d) of object from a rotation axis

d = √(0.9-0)^2 + (10-6)^2 = 4.1m

=> A = 8 x 4.1 = 32.8kgm^2/s.

5 0

3 years ago

(23+8x-x²)+(x³+x²+34-18x)

bearhunter [10]

Answer:

x^3 -10x + 57

Step-by-step explanation:

3 0

3 years ago

A 4-person task force is to be formed from the 4 men and 3 women who work in Company G’s human resources department. If there ar

Dima020 [189]

Answer:

Total 18 task force can be formed.

Step-by-step explanation:

Total number of men = 4

Total number of women = 3

We need to form a 4-person task force.

The total number of ways of selecting r items from n items is

$^nC_r=\frac{n!}{r!(n-r)!}$

Total number of ways of selecting 2 men from 4 men = $^4C_2$

Total number of ways of selecting 2 women from 3 men = $^3C_2$

Total number of different task forces that can be formed is

$Total=^4C_2\times ^3C_2$

$Total=\frac{4!}{2!(4-2)!}\times \frac{3!}{2!(3-2)!}$

$Total=\frac{4!}{2!2!}\times \frac{3!}{2!1!}$

$Total=\frac{4\times 3\times 2!}{2\times 1\times 2!}\times \frac{3\tmes 2!}{2!}$

Cancel out common factors.

$Total=6\times 3$

$Total=18$

Therefore total 18 task force can be formed.

7 0

3 years ago

$29,000; 4% decrease

Sveta_85 [38]

Answer:

$27,840 is the correct answer

Step-by-step explanation:

hope this helps!

7 0

3 years ago

Read 2 more answers

You work 4 hours on Monday, 4.5 hours on Tuesday, 7.25 hours on Thursday, and 12 hours on Saturday. If you get paid $11.52 per h

____ [38]

Answer:

$181.44

Step-by-step explanation:

First, you convert the hours worked to minutes <em>(h)×60=(min)</em>.

4 × 60 = 240 4.5 × 60 = 270 7.25 × 60 = 435

Then, you add the minutes worked together.

240 + 270 + 435 = 945

Then, convert the total minutes worked to ours.

945 ÷ 60 = 15.75

Finally, multiply 11.52 (the pay per hour) by 15.75 (the total hours worked)

$11.52 × 15.75h = $181.44

6 0

3 years ago