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sammy [17]
2 years ago
9

Charlize wants to measure the depth of an empty well. She drops a ball from a height of 3 feet into the well

Mathematics
1 answer:
pentagon [3]2 years ago
5 0

Answer:

  about 151 feet

Step-by-step explanation:

The height of the ball at a time of 3.1 seconds is given by Charlize's equation as ...

  h(3.1) = -16(3.1)^2 +3 = -150.76 . . . feet

The well is about 151 feet deep.

_____

<em>Comment on this measurement</em>

The speed of sound is sufficiently slow that it will make a difference in the time Charlize records. She would get a more accurate measurement if she were able to <em>see</em> the ball hit bottom.

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In the figure, three line segments cross at a common point. Angle A is 45°, and angle E is 85°. What is the measurement of angle
katen-ka-za [31]

Answer: Measure angle H = 42°


Step-by-step explanation:

"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"

In given we have,

angle E is an exterior angle to triangle DFH

The two non-adjacent angles to angle E are angles D and H

Based on the above rule,

measure angle E = measure angle D + measure angle H

We are given this:

angle E = 87°

angle D = 45°

Substitute with the givens in the above rule and solve for the measure of angle H as follows:

angle E = angle D + angle H

87° = 45° + measure angle H

measure angle H = 87° - 45°

measure angle H = 42°

Hope this helped!

5 0
2 years ago
Calculate the area of each figure. Which figure has the greatest area?
tatiyna
Their is no picture to do it
3 0
2 years ago
Solve each proportion​
mamaluj [8]

Hello.

In order to solve a proportion, you should cross-multiply:

\displaystyle\frac{7}{x} =\frac{5}{9}

Multiply 7 times 9 and 5 times x:

5x=63

Divide both sides by 5:

x=\displaystyle\frac{63}{5}

Now let's solve the second proportion.

Multiply 8p times 6 and 12 times 15:

48p=180

Divide both sides by 48:

p=3.75

I hope it helps.

Have an outstanding day.

\boxed{imperturbability}

5 0
2 years ago
The school that Joe goes to is selling tickets to a choral performance. On血e first day of ticket
ArbitrLikvidat [17]

Answer:

The price of one senior citizen ticket is $8, and the price of one child ticket is $11.

Step-by-step explanation:

You are looking for two things: the price of a senior citizen ticket and the price of a child ticket.

We need to write two equations using two variables.

Let s = price of 1 senior citizen ticket.

Let c = price of 1 child ticket.

First day of ticket sales:

6 senior citizen tickets, 8 child tickets, total sales of $136

Since s is the price of a senior citizen ticket, 6 tickets cost 6s.

Since c is the price of a child ticket, 8 tickets cost 8c.

The total sales is 6s + 8c.

The total sales is $136, so our first equation is

6s + 8c = 136

Now we do the same for the second day of ticket sales.

6 senior citizen tickets, 9 child tickets, total sales of $147.

Since s is the price of a senior citizen ticket, 6 tickets cost 6s.

Since c is the price of a child ticket, 9 tickets cost 9c.

The total sales is 6s + 9c.

The total sales is $147, so our second equation is

6s + 9c = 147

The system of equations is

6s + 8c = 136

6s + 9c = 147

Multiply both sides of the first equation by -1. Write the second equation below it. Then add the equations.

       -6s - 8c = -136

(+)     6s + 9c = 147

----------------------------

                  c =   11

c = 11, so the cost of a child ticket is $11.

Now substitute 11 for c in the first equation, and solve for s.

6s + 8c = 136

6s + 8(11) = 136

6s + 88 = 136

6s = 48

s = 8

The price of a senior citizen ticket is $8.

The price of a senior citizen ticket is $8, and the price of a child ticket is $11.

6 0
2 years ago
2 broccoli, 2 carrot, 2 cupcakes, 1 chicken, 1 hamburger, 1 rice pudding, and 1 meatloaf, what is the probability of not choosin
natka813 [3]

Answer:

one out of 10 chance

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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