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Lelu [443]
3 years ago
10

A ball is dropped from a bridge which is 160 feet above a river. how long will it take the ball

Mathematics
1 answer:
S_A_V [24]3 years ago
7 0
H(t)=-16t²+160
0=-16t²+160
16t²=160
t²=10
t=√10 or 3.16 seconds
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Mr. Gail uses 12 gallons of gas for a 400-mile trip. How far can I travel on one gallon of gas​
bulgar [2K]

Answer:

100/3 or 33.34 miles a gallon

Step-by-step explanation:

Divide the number of miles by gallons of gas to get the number of miles traveled on one gallon of gas.

3 0
2 years ago
If demand function is Qd=150+10p and supply function is Qs=300-2p, find the equilibrium price.​
olga nikolaevna [1]

Answer:

qd = qs

150+10p=300-2p

10p+2p=300-150

Step-by-step explanation:

12p=150

P=150÷12

P=12.5

The equilibrium price is 12.5 or 13

8 0
2 years ago
What is 320 million in scientific notation?
astraxan [27]
The scientific notation:  3.2 x10^2
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3 years ago
Read 2 more answers
21. For the following exercises, use the descriptions of each pair of lines given below to find the slopes of Line 1 and Line 2.
dybincka [34]

Answer:

The given lines are perpendicular.

Step-by-step explanation:

In the question, two lines are given as line 1 passes through (1,7) and (5,5). Whereas, line 2 passes through (-1,-3) and (1,1).

It is required to find the slope of given lines and figure out whether they are perpendicular, parallel or neither.

To solve this question, first find the slope of both lines. Check if their product is equal to -1, then they are perpendicular. If the slopes are equal the lines are parallel.

Step 1 of 2

Find the slope of first line.

$$\begin{aligned}m_{1} &=\frac{5-7}{5-1} \\m_{1} &=\frac{-2}{4} \\m_{1} &=-\frac{1}{2}\end{aligned}$$

Step 2 of 2

Find the slope of first line.

$$\begin{aligned}&m_{2}=\frac{1-(-3)}{1-(-1)} \\&m_{2}=\frac{4}{2} \\&m_{2}=2\end{aligned}$$

And

$$\begin{aligned}&m_{1} m_{2}=-\frac{1}{2}(2) \\&m_{1} m_{2}=-1\end{aligned}$$

Since, both slopes are reciprocal of each other.

Therefore, the lines are perpendicular.

6 0
1 year ago
10. The perimeter of a regular nonagon is 162 inches. The apothem is 97.8 inches. Find the area.
Katen [24]

Answer:

The area of the regular nonagon is 7921.8 square inches.

Step-by-step explanation:

Geometrically speaking, the area of a regular polygon is determined by following area formula:

A = \frac{p\cdot a}{2} (1)

Where:

A - Area of the regular polygon, in square inches.

p - Perimeter, in inches.

a - Apothem, in inches.

If we know that p = 162\,in and a = 97.8\,in, then the area of the regular nonagon is:

A = 7921.8\,in^{2}

The area of the regular nonagon is 7921.8 square inches.

8 0
3 years ago
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