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15 days ago

Traveling at 65 mph how many feet can you travel in 22 minutes?

2 answers:

6 0

Treat 65 mph as a constant velocity for the purpose of this calculation. By dividing 65 by 60 you find how many miles are covered each minute. That equals 1.083333 miles per minute. Which converts to about 5720 feet each minute. (This comes from multiplying 1.083333 by 5280, the number of feet in a mile). Multiplying 5720 by 22 minutes yields 125,840 feet.

Hope this is helpful!

babunello [3.6K]15 days ago

5 0

The initial step is to convert the provided speed into the appropriate units.

To accomplish that, we employ these unit conversions:

$1 mile = 5280 feet\\1 hour = 60 minutes$

Next, we perform the unit transformation.

$(65)(\frac{miles}{hours}) * (5280)(\frac{feet}{miles}) * (\frac{1}{60})\frac{hours}{min} = 5720 \frac{feet}{min}$

According to the definition, we set up:

$d = v * t$

Where the symbols denote:

d: traveled distance

v: speed

t: time

Plugging in t = 22 minutes yields:

$d = (5720) * (22)\\d = 125840 feet$

Result:

The distance covered in 22 minutes is:

$d = 125840 feet$

1)

Calculate sr

hypotenuse² = base² + height²

sq² = sr² + rq²

25² - 20² = sr²

sr = √(25² - 20²)

sr = 15

When altitude rt is dropped to hypotenuse qs, it creates

two right triangles: rtq and rts.

Δrtq

height = rt

base= tq = 25 - x

hypotenuse = qt = 20

Δrts

height = rt

base= ts = x

hypotenuse = sr = 15

Both triangles share the same height, which is rt

Using the Pythagorean theorem:

Δ rtq Δ rts

hypotenuse² - base² = height²

20² - (25 - x)² = 15² - x²

400 - (625 + x² - 50x) = 225 - x²

400 - 625 - x² + 50x = 225 - x²

-225 - x² + 50x - 225 + x² = 0

-450 + 50 x = 0

50x = 450

x = 450/50

x = 9

Base of Δ rtq = tq = 25 - x

tq = 25 - 9

tq = 16

5 0

8 days ago

Read 2 more answers

A reporter determines a baseball player's batting average, which is a ratio of number of hits to the number of times at bats. Th

Leona [4166]

x:200

x/200 =.2121212121...

200(x/200) = 200(.2121212121...)

x = 42.4242...

The expectation is that a player would achieve 42 hits over 200 at-bats.

8 0

7 days ago

Read 2 more answers

9. Darcy is buying apples and oranges for a large fruit basket to give away as a door prize at a charity event. Apples cost $0.2

Zina [3914]

Let x represent the number of apples and y the number of oranges.

Starting with the first scenario, since each apple is priced at $0.24 and each orange at $0.80, we have:
total spent on apples = 0.24x and total spent on oranges = 0.8y
Given that the total expenditure is $12, the first equation is:
0.24x + 0.8y = 12

For the second scenario, the total number of pieces of fruit purchased is 20, thus the second equation is:
x + y = 20

By graphing these equations, one can identify a potential combination at the intersection of the two lines.

5 0

9 days ago

Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, squ

Svet_ta [4321]

Answer: Adiya's approach is incorrect. To construct a perfect square trinomial, one must isolate the constant on one side of the equation. The coefficient of the term with an exponent of 1 regarding the variable is essential to calculate the constant in the perfect square trinomial. The first step for Adiya should be to reposition the 20x term to the same side of the equation as x2. Then, she should divide 20 by 2, square that result, and add 100 to both sides.

7 0

9 days ago

Which statements describe the graph of y = Negative RootIndex 3 StartRoot x minus 1 EndRoot + 2? Select three options.

Leona [4166]

Answer:

The graph's domain encompasses all real numbers.

At $(0,1)$ , the graph crosses the y-axis.