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frozen [14]
4 years ago
11

What is the m∠R? Round your answer to the nearest tenth. *

Mathematics
1 answer:
OLEGan [10]4 years ago
8 0

Answer:

D) 67.4°

Step-by-step explanation:

by observation, and noting that triangle PQR is a right triangle

sin R = opposite length / hypotenuse

in our case, the hypotenuse is PR = 13 and the length opposite form R is QP = 12

hence

sin R = opposite length / hypotenuse

sin R = 12/13

R = sin⁻¹ (12/13) = 67.4⁰

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An animal shelter spends $2.50 per day to care for each cat and $4.50 per day to care for each dog. Adrian noticed that the shel
stich3 [128]

Answer:

11 cats

Step-by-step explanation:

I did trial and error.

I started with 16 cats and 17 dogs, so:

(16x$2.5) + (17x$4.5) = $116.5

The value is too low which means that they spent more money on the expensive side (i.e., dogs).

I ended up with 11 cats and 22 dogs, so:

(11x$2.5) + (22x$4.5) = $126.5

3 0
4 years ago
The volume of a cylinder is given by the formula y
goblinko [34]
<h2>The volume of a cylinder (y) = \pi (x^2-6x+9) (2x+7)</h2>

Step-by-step explanation:

Given by question,

The volume of a cylinder = y, The radius of a cylinder(r)  = x - 3 and

The height of a cylinder(h)  = 2x + 7

To find, the volume of a cylinder (y) = ?

We know that,

The volume of a cylinder = \pi r^2 h

⇒ y = \pi (x-3)^2 (2x+7)

⇒  y = \pi (x^2-6x+9) (2x+7)

⇒  y = \pi (x^2-6x+9) (2x+7)

∴ The volume of a cylinder (y) = \pi (x^2-6x+9) (2x+7)

Thus, the volume of a cylinder (y) = \pi (x^2-6x+9) (2x+7)

You can also refer:

brainly.com/question/8913282

5 0
3 years ago
Is this true or false “ the number 0.4 can be written as 4/10 so is it a rational number
Degger [83]

Answer:

True.

Step-by-step explanation:

Any number that can be written as a fraction a/b where a and b are integers (neither a nor b= 0) is rational,

For example 3 ( = 3/1) , 1/3 , 5/10 are all rational.

5 0
4 years ago
Read 2 more answers
1) Find two real numbers whose sum is 30 and whose product is maximized.
sladkih [1.3K]

Answer:

1) Both 15.

2) 25 and -25.

Step-by-step explanation:

1) Let the 2 numbers be x and 30 - x.

The product  = x(30 - x)

f(x) = x(30 - x)

f(x) = 30x - x^2

Finding  the derivative:

f'(x) = 30 - 2x

Finding the maximum:

30 - 2x = 0

x = 15.

This gives a maximum f(x) because f"(x) = -2.

So the numbers are  15 and 30 - 15 = 15.

2).  If one number is x the other is y.

x - y = 50

y = x - 50

The product =

x(x - 50)

= x^2 - 50x

Finding the derivative:

2x - 50 = 0   for  a minimum value.

2x = 50

x = 25.

So the numbers are  25 and 25-50 = -25.

6 0
4 years ago
Explain why it works to break apart a number by place values to multiply
Scrat [10]
It helps because seeing a number broken up helps your brain undertsand more clearly as to what exactly you are multiplying.
3 0
3 years ago
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