If two angles are supplementary to the same angles, then

The ratio of cats to dogs at the animal shelter is 3:4. There 25 points

Rama09 [41]

The ratio of cats to dogs at the animal shelter is 3:4.

There are a total of 24 dogs at the animal shelter.

How many cats are at the animal shelter?

Number of cats is 24/4 x 3 = 18

3 0

3 years ago

Factoring, Algebra<br> There are two questions :v

kykrilka [37]

Answer:

Step-by-step explanation:

One

v^2 - 16

This formation is called the difference of squares. That's because there are 2 squares v^2 and 16. The key to this question is the minus sign.

The square root of v^2 = v

The square root of 16 = 4

You get (v + 4)(v - 4)

Let's see what happens when you expand it.

v*v = v^2
v*(-4) = - 4v
v*(4) = 4v
4*-4 = - 16

Look what happens when you add these 4 terms together.

v^2 - 4v + 4v - 16
v^2 - 16

is what is left. The two middle terms cancel out.

Two

This one is a perfect square

w^2 + 16w + 64

(w + 8)(w + 8)

Notice both factors are the same. You might wonder how I new that.

w^2 is a perfect square so take the square root. .... v

64 is a perfect square so take the square root ..... 8

Now you have to work backwards to see if it is right.

w*w = w^2
w*8 = 8w
8*w = 8w
8^2 = 64

Adding you get w^2 + 16w + 64 which is what you started with.

6 0

3 years ago

Read 2 more answers

A company charges a flat fee of $13 plus $3 per hour to rent a boat. Abigail and Monique want to rent a boat but do not want to

enot [183]

The girls can be on the boat for nine hours.

6 0

3 years ago

Right triangle XYZ has right angle Z. If the sin(X)=1213<br> , what is the cos(X)

AlekseyPX

Given:

Right triangle XYZ has right angle Z.

$\sin(x)=\dfrac{12}{13}$

To find:

The value of $\cos x$ .

Solution:

We know that,

$\sin^2(x)+\cos^2(x)=1$

$\cos^2(x)=1-\sin^2(x)$

$\cos(x)=\pm\sqrt{1-\sin^2x}$

For a triangle, all trigonometric ratios are positive. So,

$\cos(x)=\sqrt{1-\sin^2x}$

It is given that $\sin(x)=\dfrac{12}{13}$ . After substituting this value in the above equation, we get

$\cos(x)=\sqrt{1-(\dfrac{12}{13})^2}$

$\cos(x)=\sqrt{1-\dfrac{144}{169}}$

$\cos(x)=\sqrt{\dfrac{169-144}{169}}$

$\cos(x)=\sqrt{\dfrac{25}{169}}$

On further simplification, we get

$\cos(x)=\dfrac{\sqrt{25}}{\sqrt{169}}$

$\cos(x)=\dfrac{5}{13}$

Therefore, the required value is $\cos(x)=\dfrac{5}{13}$ .

6 0

3 years ago

Luna weighs 8 pounds which is about 75 % of her adult weight. What will lunas adult weight be? Write an equation for this situat

melomori [17]

Answer: 10.67 pounds

Step-by-step explanation:

Let her adult weight be represented by x.

Luna weighs 8 pounds which is about 75 % of her adult weight. This can then be formed into an equation as:

75% of x = 8

75/100 × x = 8

0.75 × x = 8

0.75x = 8

x = 8/0.75

x = 10.67

Her adult weight is 10.67 pounds

6 0

3 years ago