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Gnoma [55]
3 years ago
11

ava walks to the end of her section of trail and back in 90 minutes Luis walks his his section of the trail in 1 3/4 hours. Who

walks longer?
Mathematics
1 answer:
AlekseyPX3 years ago
6 0

Answer:

Luis

Step-by-step explanation:

One hour is 60 minutes total, leaving and extra 30 minutes for Ava, which is half of 60. So, in fraction form, she walked 1 1/2 OR 1 2/4 hours, which is less than Luis. He walked about an hour and 45 minutes total, or 105 minutes.

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The diagram above shows a rectangle inscribed in a circle AB=10 and AC =12 caculate the total surface area of the shaded part
erastova [34]

Answer:

71.63 \: \: \mathrm{cm^2 }

Step-by-step explanation:

Once we know the diameter of the circle, we can figure out the problem.

The diameter of the circle = The diagonal of the rectangle inscribed in the circle

To find the diagonal of the rectangle, we can use a formula.

d=\sqrt{w^2 + l^2}

The width is 10 cm and the length is 12 cm.

d=\sqrt{10^2 + 12^2}

d \approx 15.62

The diagonal of the rectangle inscribed in the circle is 15.62 cm.

The diameter of the circle is 15.62 cm.

Find the area of the whole circle.

A=\pi r^2

The r is the radius of the circle, to find radius from diameter we can divide the value by 2.

r = \frac{d}{2}

r=\frac{15.62}{2}

r=7.81

Let’s find the area now.

A=\pi (7.81)^2

A \approx 191.625

Find the area of rectangle.

A=lw

Length × Width.

A = 12 \times 10

A=120

Subtract the area of the whole circle with the area of rectangle to find area of shaded part.

191.625-120

71.625 \approx 71.63

5 0
2 years ago
Find each value.Use a calculator is needed P(9,2) .P(5,5). P(7,7)
Andrews [41]
The answers are:
P(9, 2) = 72
P(5, 5) = 120
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These are examples of permutations. The problems are asking us to find the total number of ways an event can happen.

In the first case, P(9, 2), we are asked to find the ways that 2 things can be chosen out of a group of 9.
9 x 8 = 72

P(5, 5) = 5 x 4 x 3 x 2 x 1 
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3 years ago
What is the value of x?
QveST [7]

Answer:

72°

Explanation:

Given that line J and line K are parallel, we can safely assume that line m is the transversal for the following question. We can also remove line l so that we can focus on line m instead.

Using the rule of <u>Alternate Exterior Angle</u> theorem, x would equal to 72°.

7 0
3 years ago
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padilas [110]

Answer:

I love algebra anyways

the ans is in the picture with the steps how i got it

(hope that helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

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