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1 year ago

Find the missing side length of the right triangle.

Mathematics

1 answer:

Tomtit [17]1 year ago

5 0

This is just some pythagorean theorem, or a^2 + b^2 = c^2. We have a and b, which is 9 and 12, and we need to find c. To find c, we need to first square those, giving u 81 and 144. Now, we need to add them, giving us 225, meaning c^2 = 225. However, we need to find c on its own, so we have to find the square root of 225. That would be 15.

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3. Bob the Builder wants to earn an annual rate of 10% on his investments,

mamaluj [8]

Answer:

He should pay $2,790.7.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time, in years.

After t years, the total amount of money is:

$T = E + P$

In this question:

Rate of 10%, so I = 0.1.

9 months, so $t = \frac{9}{12} = 0.75$

How much should he pay for a note that will be worth $3,000 in 9 months?

We have to find P for which T = 3000. So

$T = E + P$

$3000 = E + P$

$E = 3000 - P$

Then

$E = P*I*t$

$3000 - P = P*0.1*0.75$

$1.075P = 3000$

$P = \frac{3000}{1.075}$

$P = 2790.7$

He should pay $2,790.7.

8 0

3 years ago

Is 6 the same answer as the answer you would get directly finding the square root of 36

wel

Answer:

yes tha

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Triangle ABCTriangle ABC is transformed with the center of dilation at the origin. Pre-image: △ABC with vertices A(−5, −4), B(−

harkovskaia [24]

Pre Image having vertices : △ABC with vertices A(−5, −4), B(−7, 3), C(3, −2)

Image having vertices : △A′B′C′ with vertices A′(−3.75, −3), B′(−5.25, 2.25), C′(2.25, −1.5).

As, Size of Preimage > Size of image

So, 0<Dilation Factor <1

When a triangle is dilated , the preimage and image are similar to each other .

Scale factor can be get through by finding the ratio of any of corresponding sides of triangle.

$\frac{A'B'}{AB}=\frac{\sqrt{2.25 +27.5625}}{\sqrt{4+49}}=\sqrt{\frac{29.8125}{53}}=\sqrt{0.5625}=0.75=\frac{3}{4}$

So, Scale Factor of Dilation = $\frac{3}{4}=0.75$

6 0

3 years ago

Read 2 more answers

HELPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!

snow_lady [41]

Answer:

A. The area is $78.54m^2$

B. She needs to cover 1661.9 square feet of tiles for the base of the swimming pool

Step-by-step explanation:

Question A:

Let us assume that the leash is pegged to the ground using a stake. as a result, the dog can move around the stake. The path that the motion of the dog would trace is a circle, and the radius of the circle will be the length of the leash.

Since we know this, we can easily find the area of the circle using $\pi r^2$

Area of the circle = $\pi \times 5 \times 5 = 78.54m^2$

Question B

Dulce wants to cover the whole surface area of the floor of the circular swimming pool with tiles.

We already know that the swimming pool is circular, hence, the surface area of the base of the swimming pool will be the same as the area of a circle, with the same radius.

The area of the circle can be calculated using $\pi r^2$

Area of circle = $\pi \times 23 \times 23 = 1661.9ft^2$

8 0

2 years ago

A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. I

alukav5142 [94]

To figure this out, you should think about the multiples of 10 boxes you could have.

If I had 10 small boxes, there would need to be 86 large boxes. 86 is not evenly divisible by 8 so that doesn't work.

If I had 20 small boxes, there would be 76 large boxes. 76 is not evenly divisible by 8.

If I had 30 small boxes, there would be 66 large boxes. 66 is not evenly divisible by 8.

If I had 40 small boxes, there would be 56 large boxes. 56 is every divisible by 8.

4 cartons of 10 small boxes and 7 cartons of 8 large boxes would be needed. This is a total of 11 cartons.

6 0

3 years ago