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marta [7]
3 years ago
5

Molly is designing a dog house for her puppy that has a rectangular base. The length of the base is 7 inches more than its width

. She wants the area of the base to be greater than 375 square inches. If w represents the width of the doghouse, write the inequality that can be used to determine the possible dimensions of the base of the dog house.
Mathematics
2 answers:
juin [17]3 years ago
6 0

7w2+7w<375 hope this helped

Mariana [72]3 years ago
5 0

We assume w is the number of <em>inches</em> of width (as opposed to <em>feet</em> or some other measure). The length is 7 inches more than the width, so is w+7. The area is the product of these dimensions, and the problem statement tells us that area is greater than 375 in².

... w(w+7) > 375 . . . . . the inequality that can be used to find dimensions

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Plz I need help I really need help
Fynjy0 [20]

Answer:

-1 1/2

Step-by-step explanation:

4 0
2 years ago
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What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC
marta [7]

Answer:

C. B(x,y) = \left(3,-\frac{16}{3} \right)

Step-by-step explanation:

Let A(x,y) = (6,-7), B(x,y) = (x,y) and C(x,y) = (-3,-2). From statement we know that AB = \frac{1}{2}\cdot BC, which is equivalent to the following linear algebraic formula:

B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)] (1)

B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)

\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)

B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y) (2)

Then, the coordinates of point B on AC are:

B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)

B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)

B(x,y) = \left(3,-\frac{16}{3} \right)

Which means that correct answer is C.

5 0
3 years ago
The volume of a cylinder is 2,200π cubic inches. The diameter of the circular base is 10 inches. what is the height of the cylin
umka21 [38]
If the diameter of the cylinder's base is 10, then the radius is half that, or 5.

\bf \textit{volume of a cylinder}\\\\&#10;V=\pi r^2 h\qquad &#10;\begin{cases}&#10;r=radius\\&#10;h=height\\&#10;------\\&#10;r=5\\&#10;V=2200\pi &#10;\end{cases}\implies 2200\pi =\pi (5)^2h&#10;\\\\\\&#10;\cfrac{2200\pi }{\pi (5)^2}=h\implies \cfrac{2200}{25}=h\implies  88=h
8 0
3 years ago
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210
seropon [69]
The answer is The second one because I took this test before and I got it right
4 0
2 years ago
I need help with this question
Julli [10]

Answer:

it's 324

Step-by-step explanation:

divide 72 by 4 to get one side, then multiply the side by itself, 18 times 18

3 0
3 years ago
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