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3 years ago

Using the pythagorean theorem find the area

Mathematics

1 answer:

nikklg [1K]3 years ago

5 0

Answer:

Area = .75 $\sqrt{5}$

Step-by-step explanation:

$Height = \sqrt{2.5^{2} - 1.5^{2} }$

$Height = \sqrt{6.25 - 1.25}$

$Height = \sqrt{5}$

Area = 1.5( $\sqrt{5}$ )/2

Area = .75 $\sqrt{5}$

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Flying against the wind, an airplane travels 4000 kilometers in 5 hours. Flying with the wind, the same plane travels 5040 kilom

andriy [413]

Answer:the plane in still air is 904 km/h

the rate of the wind is 104 km/h

Step-by-step explanation:

Let x represent the rate or speed of the plane in still air.

Let y represent the rate or speed of the wind.

Flying against the wind, an airplane travels 4000 kilometers in 5 hours. This means that the total speed of the airplane would be (x - y) km/h

Distance = speed × time

Therefore

4000 = 5(x - y)

4000 = 5x - 5y - - - - - - - - -1

Flying with the wind, the same plane travels 5040 kilometers in 4 hours. This means that the total speed of the airplane would be (x + y) km/h. Therefore,

5040 = 4(x + y)

5040 = 4x + 4y - - - - - - - - - 2

Multiplying equation 1 by 4 and equation 2 by 5, it becomes

16000 = 20x - 20y

20160 = 20x + 20y

Subtracting, it becomes

- 4160 = - 40y

y = - 4160/-40

y = 104

Substituting y = 104 into equation 1, it becomes

4000 = 5x - 5 × 104

4000 = 5x - 520

5x = 4000 + 520

5x = 4520

x = 4520/5 = 904

7 0

3 years ago

The table shows the total number of customers at a car wash after 1, 2, 3, and 4 days of its grand opening. which graph represen

kozerog [31]

Answer:

Has to be the first one....

Step-by-step explanation:

4 0

3 years ago

Roy has bought two square photo frames. The ratio of their sides is 4:1. If PQ = 12 inches, what is AB? A. 12 in. B. 9 in. C. 6

aleksklad [387]

Answer:

D. 3

Step-by-step explanation:

If the ratio of their sides is 4:1, and if PQ=12 inches, then Ab=12/4=3 inches.

6 0

3 years ago

10.

Crank

7.5 × 10-4

That's the scientific notation answer ^

5 0

3 years ago

Read 2 more answers

Records for the past several years show that 46% of customers at a local game shop use a customer loyalty card. Due to a recent

Ratling [72]

Answer:

1. Null hypotheses: p=0.49

Alternative hypotheses: p>0.49

2. p=0.5704 or 57.04%

Step-by-step explanation:

We have to writer the hypotheses for testing the proportion has increased from 49%. So, the population proportion that is to be tested is 0.49.

As we already know that the null hypotheses always contain equality so,

Null hypotheses: p=0.49

and we have to test whether the proportion has increased from 0.49, so,

Alternative hypotheses: p>0.49

Thus, the hypotheses for testing the proportion has increased from 49% are

Null hypotheses: p=0.49

Alternative hypotheses: p>0.49

We have to find the proportion of sampled customers using loyalty card.

The given sample indicate that 77 out of 135 customers are using loyalty card. So,

p=x/n

where x is the number of favorable outcome and n is total number of outcome.

Here, x=77 and n=135. So,

p=77/135=0.5704 or 57.04%

6 0

3 years ago