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3 years ago

What's the square footage of 24 by 17

1 answer:

8 0

To do this question you need to multiply base times height. So it would be 24*17. After that, you should get 408 square feet.

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A pyramid of volume 344 square units is sliced into two pieces by a plane parallel to the base of the pyramid and 10 units away

Tom [10]

Answer:

80 units

Step-by-step explanation:

v = 1/3 bh

v₁ = 1/3 * b * h₁ = 344

v₂ = 1/3 * b * h₂ = 301

v₁ / v₂ = h₁ / h₂ = 344 / 301

h₂ = h₁ - 10

h₁ / (h₁ - 10) = 344 / 301

344 * (h₁ - 10) = 301 * h₁

344* h₁ - 3440 = 301 * h₁

43 * h₁ = 3440

h₁ = 80

4 0

2 years ago

Q-35<br><br> Convert this equation to slope-intercept form: y+2= -4/17x + 12/7

Andru [333]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept)

given y + 2 = - $\frac{4}{17}$ x + $\frac{12}{7}$

Subtract 2 from both sides

y = - $\frac{4}{17}$ x + $\frac{12}{7}$ - $\frac{14}{7}$

y = - $\frac{4}{17}$ x - $\frac{2}{7}$ ← in slope- intercept form

6 0

3 years ago

There are 12 chocolate chip cookies in an assortment of 48 cookies. What percent of the cookies are chocolate chip?

Annette [7]

Answer: 20 Chocolate Chips

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate

sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

$x^2 + 1^2 = y^2$

Differentiate w.r.t time (t)

$2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}$

$2x\frac{dx}{dt} = 2y\frac{dy}{dt}$

Divide both sides by 2

$x\frac{dx}{dt} = y\frac{dy}{dt}$

From the question, we have that the plan travels are 510mi/h.

This implies that:

$\frac{dx}{dt} = 510mi/h$

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

$y = 2mi$

Apply Pythagoras theorem

$x^2 + 1^2 = y^2$

$x^2 + 1^2 = 2^2$

$x^2 + 1 = 4$

$x^2 = 4-1$

$x^2 = 3$

$x = \sqrt 3$

So, the expression becomes:

$x\frac{dx}{dt} = y\frac{dy}{dt}$

$\sqrt 3 * 510 = 2* \frac{dy}{dt}$

$\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}$

$\sqrt 3 * 255 = \frac{dy}{dt}$

$\frac{dy}{dt} = 255\sqrt 3$

$\frac{dy}{dt} = 255 * 1.7321$

$\frac{dy}{dt} = 441.655$

$\frac{dy}{dt} = 442$

<em>Hence, the distance is 442 miles</em>

7 0

3 years ago

A school sold tickets to a musical.

kicyunya [14]

m=6.50t

6.50 per ticket so you multiply 6.50 by t. The money collected is the answer to the equation. Hope this helps!

6 0

2 years ago

Read 2 more answers