If a cone and cylinder have bases with equal areas and both have identical heights then the volume of the cone is one third the volume of the cylinder

4 0

3 years ago

Nicole wants to replace a glass window in her restaurant. The window is in the shape of a square. It’s side lengths are 11 feet.

Ede4ka [16]

Answer:

275

Step-by-step explanation:

6 0

3 years ago

A. The sum of Andre and Brandon scores on a math quiz is 180. Andres score is 2 times more than 30 less than Brandon score. Find

pantera1 [17]

A)

a+b=180 and a=2(b-30) using this in the first equation gives you:

2(b-30)+b=180

2b-60+b=180

3b-60=180

3b=240

b=80 so a=100

Andre's score was 100 and Brandon's score was 80.

b)

100x-200>50x-75 subtract 50x from both sides

50x-200>-75 add 200 to both sides

50x>125 divide both sides by 50

x>2.5

8 0

3 years ago

Question<br> Find the missing side lengths. Leave answer in simplest<br> radical form.

Slav-nsk [51]

Answer:

A) y = $\frac{11\sqrt{3} }{2}$ , x = 11

Step-by-step explanation:

We can use the 60 degree angle to help us solve this.

Remember: tan(angle) = opposite/adjacent

Using this formula, we get that

tan (60 degrees) = y / (11/2)

This is because y is the side opposite to the 60 degree angle and 11/2 is the side adjacent to the 60 degree angle.

Simplifying this expression, we get that

$\sqrt{3}$ = y/(11/2)

Multiplying both sides by 11/2, we get

$\frac{11\sqrt{3} }{2}$ = y

We can now use the pythagorean theorem to help us solve for x

Remember: a² + b² = c²

Since x is the hypotenuse, it is the c value. Therefore, we get:

(11/2)² + ( $\frac{11\sqrt{3} }{2}$ )² = x²

Simplifying this, we get

$\frac{121}{4}$ + $\frac{121 * 3}{4}$ = x²

Simplifying this some more, we get

484/4 = x²

121 = x²

Taking the square root of both sides, we get that

x = 11

I hope this helps!

4 0

3 years ago