All categories

3 years ago

Angle X and Angle Y are complementary angles. Angle X is eight times larger than Angle Y. What are the

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

6 0

Answer:

If you know that Angle X and Angle Y are complementary angles, X+Y = 90

Then we translate the sentence "angle x is 8 times larger than angle Y" into mathematical terms. is means equal, and 8 times means multiplication. This gives us our second equation

X = 8Y

We then use the property of substitution to combine the equations into a solvable system. if X = 8Y and X + Y = 90, we can say that 8Y + Y = 90.

combining like terms, we have 9Y = 90. Y then equals 10.

We then substitute back into the original X = 8Y to get X = 8*10. X = 80.

The final answer is X = 80 degrees and Y equals 10 degrees

Step-by-step explanation:

You might be interested in

Would someone help me with this question please?

umka2103 [35]

Answer:

Step-by-step explanation:

Root is the opposite of a power of 2.

Find 7 to the power of 2 to find the number inside:

7^2 = 7 * 7 = 49

49 is your answer, or B)

5 0

3 years ago

Read 2 more answers

32.79 divided by 3.1

tiny-mole [99]

Answer:

10.5774194, you can round up as many ways as you want.

7 0

3 years ago

Read 2 more answers

Which number is composite? 53,81,41,47,31 a. 31 b. 81 c. 41 d. 47

Eduardwww [97]

answer

B 81

explanation

6 0

3 years ago

The radius of the base of a cylinder is decreasing at a rate of 121212 kilometers per second. The height of the cylinder is fixe

WARRIOR [948]

Answer:

7536 $km^3/sec$

Step-by-step explanation:

Given that:

Rate of decreasing of radius = 12 km/sec

Height of cylinder is fixed at = 2.5 km

Radius of cylinder = 40 km

To find:

The rate of change of Volume of the cylinder?

Solution:

First of all, let us have a look at the formula for volume of a cylinder.

$Volume = \pi r^2h$

Where $r$ is the radius and

$h$ is the height of cylinder.

As per question statement:

$r$ = 40 km (variable)

$h$ = 2.5 (constant)

$\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h$

As $\pi, h$ are constant:

$\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec$