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4 years ago

Help please! simple question

Mathematics

1 answer:

horrorfan [7]4 years ago

8 0

Answer:

PE almost equals to 153.4ft

BE almost equals to 173.9

Step-by-step explanation:

We need to the property of similar triangles,using the ratio between them to solve.

we can finnd that GR=325+225=550（Parallelogram)

so PE/375=BP/GR=9/22 so PE=(375*9)/22=153.4

BE/425=BP/GR=9/22 so BE=（425*9)/22=173.9

They are not exact numbers just near to the right answer.

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Find the length of a rectangle with a diagonal of 10 and a height of 8.

Dmitry_Shevchenko [17]

Answer:

The length of the rectangle is 6.

Step-by-step explanation:

Given: The diagonal of a rectangle is 10 and the height is 8.

Please understand, that a diagonal, divides the rectangle into two tringles.

To find the length of the rectangle, you can use Pythagoras on one of the right sided triangles, because the length of the triangle, is also the length of the rectangle!

EXTRA:

If you know the special 3 4 5 triangle, a so called Pythagorean Triple, then you can "see" the simularity between the numbers.

Instead of 5, a diagonal of 10 is given (factor of 2 bigger).

Instead of 4, the height of 8 is given (factor of 2 bigger). By scaling the Pythagorean Triple 3 4 5 by a factor of 2, you get the numbers 6 8 10. Could it be, that the number we need to find, is six?

Try to verify, by calculating the missing number (which is the length of the rectangle we are looking for).

a² + b² = c²

a = length (and is unknown)

b = height = 8

c = hypothenusa/diagonal = 10

Substitute the numbers given:

a² + 8² = 10²

Subtract 8² left and right of the = sign.

a² +8² -8² = 10² - 8²

a² + 0 = 100 - 64

a² = 36

a = + - √36

a = + - 6

EXTRA:

You can ignore the -√36 = -6 part of the solution, because a length of -6 has no meaning here.

a = 6

So, the length of the triangle is 6 and thus, the length of the rectangle is also 6.

8 0

3 years ago

Five times a number is the same as 30 more than 8 times the number. Find the number. If n is "the number," which equation could

Sergeu [11.5K]

Answer:

C. 5n = 8n + 30

Step-by-step explanation:

5 times a number = 5n

30 more than 8 times a number = 30 + 8n

If those expressions are equal, then:

5n = 8n + 30

5 0

3 years ago

The blood cholesterol levels of men aged 55 to 64 are approximately normally distributed with mean 222 mg/dl and standard deviat

tatiyna

Answer:

It is provided that 10% of the men aged 55 to 64 have cholesterol level 270 mg/dl or higher.

Step-by-step explanation:

Let X = blood cholesterol levels of men aged 55 to 64 years.

The random variable X follows a Normal distribution with mean μ = 222 mg/dl and standard deviation σ = 37 mg/dl.

It is provided that 10% of the men aged 55 to 64 have cholesterol level x mg/dl or higher.

Compute the value of x as follows:

$P(X\geq x)=0.10\\P(\frac{X-\mu}{\sigma}\geq \frac{x-222}{37})=0.10\\P(Z\geq z)=0.10\\1-P(Z$

Use the z-table to compute the value z for the probability 0.90.

The value of z is 1.29.

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\1.29=\frac{x-222}{37} \\x=222+(1.29\times37)\\=269.73\approx270$

Thus, 10% of the men aged 55 to 64 have cholesterol level 270 mg/dl or higher.

3 0

3 years ago

What is 18 divided by negative 3

sweet-ann [11.9K]

18 / -3 = -6

answer

negative 6 is 18 divided by negative 3

hope it helps

6 0

4 years ago

Read 2 more answers

A car moves from postion 50m south of the library to new position 250m north of the library this movement takes 15 seconds what

Katen [24]

20m per second, because the difference between -50 and 250 is 300, and just divide 300 by 15, because distance/speed.

4 0

3 years ago

Read 2 more answers