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kogti [31]
3 years ago
8

Triangle ABC has side length of 8 inches 12 inches and 15 inches which of the following could be the side lengths of a triangle

similar to triangle ABC....
A. 10 inches 14 inches and 17 inches
B. 5 inches 9 inches and 12 inches
C. 16 inches 24 inches and 36 inches
D. 4 inches 6 inches and 7.5 inches
Mathematics
1 answer:
Step2247 [10]3 years ago
3 0

Answer:

D is the answer

Step-by-step explanation:

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Suppose y varies directly with x. If y = –20 when x = 2, find y when x = 14
Natasha_Volkova [10]

Answer:

y = -140

Step-by-step explanation:

Y varies directly with x

y = kx

We know y = -20 when x =2, we can solve for k

-20 = k*2

Divide each side by 2

-20/2= 2k/2

-10 =k

y = -10x

Now we want to find y when x = 14

y = -10 *14

y = -140

3 0
3 years ago
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A circular garden has a circumference of
omeli [17]

This solution to this problem is predicated on the fact that the circumference is just: 2\pir. A straight line going through the center of the garden would actually be the diameter, which is well known to be two times the radius of the circle, so we can say that the circumference is just:

d\pi

So, solving for both the radius and the diameter gives us:

d\pi=8xy^2\pi\\ d=8xy^2\\ \\ 2\pi r=8xy^2\pi\\ r=4xy^2

So, the length of thes traight path that goes through the center of the guardain is just 8xy^2, and we can use the radius for the next part of the problem.

The area of a circle is \pi r^2, which means we can just plug in the radius and find our area:

A=\pi r^2 \implies \\ A=\pi (4xy^2)^2\implies \\ A= 16\pi x^2y^4

So, we have found our area(16 \pi x^2 y^4) and the problem is done.

6 0
3 years ago
line j has an equation of y=-x+8. line k includes the point (1,-3) and is perpendicular to line j. what is the equation of line
In-s [12.5K]

Answer:

y = x - 4

Step-by-step explanation:

<u>Use point slope form:  (y - y1) = m(x - x1)</u>

m = 1

<u>Step 1:  Plug in</u>

(y - (-3)) = 1(x - 1)

y + 3 - 3 = x - 1 - 3

y = x - 4

Answer:  y = x - 4

8 0
3 years ago
A container has peppermint gum and spearmint gum. There are 40 pieces of peppermint gum in the container and the ratio of pepper
Anit [1.1K]

Answer:

16 pieces of spearmint gum

Step-by-step explanation:

For every five pieces of peppermint gum, there are 2 pieces of spearmint gum.

First, divide the total number of peppermint gum by 5:

40/5 = 8

Multiply this number by 2 (pieces of spearmint) to get the number of spearmint gum pieces:

8 x 2 = 16

Proof:

Ratio is 40 : 16, dividing this by 8 will reduce the ratio to 5:2

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