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Given:

The figure of a right triangle.

To find:

The measure of x.

Solution:

According to the altitude on hypotenuse theorem, the length of the altitude is the geometric mean of segments of the hypotenuse.

Let "h" be the height  of the altitude and it divides the hypotenuse if two pieces of lengths "a" and "b", then

[tex]h=\sqrt{ab}[/tex]

In the given figure, 14 is the height  of the altitude and it divides the hypotenuse if two pieces of lengths 24 and x. So, by using the altitude on hypotenuse theorem, we get

[tex]14=\sqrt{24x}[/tex]

Taking square on both sides.

[tex]196=24x[/tex]

[tex]\dfrac{196}{24}=x[/tex]

[tex]\dfrac{49}{6}=x[/tex]

Therefore, the value of x is [tex]\dfrac{49}{6}[/tex] units and its approximate value is 8.167 units.

Answer:

0.84

5/5= 1

1 / 3/4 = 0.8333...

0.8333... = 0.84

Answer:

3/4

Step-by-step explanation:

because 5 divided by 5 is 1 and 1/1 divided by 3/4 is 3/4

Answer:

Z= 4

Step-by-step explanation:

SOLVE FOR Z by cross multiplying

Answer:

40 + 56/p - q

Step-by-step explanation:

This equation is weird. Your answer should be 40 + 56/p - q

The only thing that would change is writing "56 ÷ p" as a fraction.

Now, here's the weird part.

If you try to solve it after rewriting "56 ÷ p" as a fraction, your answer would look like this:

40p + 56 − qp

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

         p

Unless you have a math-based keyboard that would write 40p + 56 − qp over p as a fraction formatted like the equation shown above (instead of having to put a bunch of dashes so it looks like a long fraction line), then I'd stick with just typing 40 + 56/p - q.

Answer:

3.25 years

Step-by-step explanation:

The computation of the number of years is shown below:

Given that

PV = $225,000

RATE = 8%

PMT = $0

FV = $175,204.80

The formula is shown below:

= NPER(RATE;PMT;PV;FV;TYPE)

After applying the above formula, the number of years would be 3.25 years

The same would be considered

Answer:

jvhsucrkchnufecnigtyrnvtdcvhkbubtrddtrthgbnytdfctry

Step-by-step explanation:

Let two consecutive numbers are : x,x+1

Sum of these numbers is -11, then

x+x+1=−11

⇒2x=−11−1=−12

⇒x=−6

and other consecutive number is x+1=−6+1=−5

The answer is -6 and −5

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

The answer is 16.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

just simply add all of the terms together.

Answer:

Mitochondria are tiny organelles inside cells that are involved in releasing energy from food. This process is known as cellular respiration. It is for this reason that mitochondria are often referred to as the powerhouses of the cell.

Step-by-step explanation:

Answer:

Mitochondria are tiny organelles inside cells that are involved in releasing energy from food. This process is known as cellular respiration. It is for this reason that mitochondria are often referred to as the powerhouses of the cellMitochondria are tiny organelles inside cells that are involved in releasing energy from food. This process is known as cellular respiration. It is for this reason that mitochondria are often referred to as the powerhouses of the cell

Step-by-step explanation:

Answer:

not sure if that is right

The sales tax for the shirt is 0.05(0.4x).

Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.

Given that, a shirt priced at x dollars is discounted before tax is added.

In the final price, (x-0.6x) represents the discount of 60% on the shirt.

After that sales tax was applied which was 1.05 ≈ 105%. So, the sales tax is 5%

Then the sales tax is

5% × (x - 0.6x)

5% × (0.4x)

0.05(0.4x)

Therefore, the sales tax for the shirt is 0.05(0.4x).

To learn more about the sales tax visit:

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Answer:

32

Step-by-step explanation:

2(2.5z − 58 + 43) = 176− 46

5z - 116 + 86 = 130

5z -30 = 130

5z = 160

z = 160/5

z = 32

Answer:

10

Step-by-step explanation:

8 is closest to 10 therefore 8 rounds up to 10

Answer:

i can't see clear

Answer:

fg(x) = 2x² - 1

gf(x) = 4x²-12x +10

Step-by-step explanation:

Given the functions f(x) = 2x-3 and g(x) = x^2 + 1

a) f(g(x)) = f(x²+1)

f(x²+1) = 2(x²+1) -3

f(x²+1)= 2x²+2 -3

f(x²+1) = 2x² - 1

fg(x) = 2x² - 1

Hence function fg(x) is 2x² - 1

b) gf(x) = g(2x-3)

g(2x-3) = (2x-3)² + 1

g(2x-3) = (2x-3)(2x-3) + 1

g(2x-3) = 4x²-6x-6x+9 + 1

g(2x-3) = 4x²-12x +10

gf(x) = 4x²-12x +10

Answer:

Step-by-step explanation:

To determine how much a decimal was multiplied, you need to find how many places the decimal moved.

In this case we can see the decimal moved once. How many times the decimal moved can be represented by the zeros in the number. So 10 = 1

100 = 2     1,000 = 3 and it keeps going.

So since the decimal moved 1 time, the answer to question one is 10

Now question 2.

Both 8.4 ÷ 2.1 and 84 ÷ 21 will give the exact same answer. It is just easier to solve. So solve which one is easier for you. I did 84 ÷ 21.

84 ÷ 21 = 4

We can verify our answer by multiplying the the divisor by the quotient

21 * 4 = 84

So 4 is the answer to question 2

Answer:

I think the answer is B

Step-by-step explanation:

Answer:

A , D

Step-by-step explanation:

hello :

b= √18 because : (√18)² =18

b= - √18 because : (-√18)² =18

Answer:

C 170

Step-by-step explanation:

Answer:

4 is the answer.

Step-by-step explanation:

4 is the lowest integer that satisfies both inequalities.

Answer:

150%

Step-by-step explanation:

Purchase Cost= £12 for 10kg

Sales

1 bag= 200g

200g=1 bag

1 g= 1/200 bag

10000g or 10kg= 1/200 * 10000 = 50 Bags

1 Bag = 0.60

50 Bags= 0.60*50= £30

Profit= £30- £12= 18

% Profit= 18/12 *100

=150%

Answer:

86 degrees

Step-by-step explanation:

Interior degrees of a triangle always add up to 180 degrees

What you would do is add the first two (52+31 = 84)

Subtract this number from 180 to get your remaining degrees

86 degrees

Answer:

B=24

Step-by-step explanation:

Answer:

2) d = 1.50c + 20.00

Answer:

r= 1.69

Step-by-step explanation:

Answer: 4 parfaits.

Step-by-step explanation: 1/2 divided by 1/8. when you divide you flip the second fraction and multiply it so now it's 1/2 x 8/1 which is 8/2 and then is turned into 4 so 4 parfaits

Hope this helps im really good at fractions if you need anything else lol :')

Answer: W= 4

Step-by-step explanation:

The value of w will be 4.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The expression is;

3(-4W - 5) = -7(5 + w)

Now, Solve the expression as;

3(-4W - 5) = -7(5 + w)

3 × -4w - 3 × 5 = -7 × 5 + (-7) × w

-12w - 15 = -35 - 7w

Add 12w both side;

-12w - 15 + 12w = -35 - 7w + 12w

- 15 = 5w - 35

Add 35 we get;

- 15 + 35 = 5w - 35 + 35

20 = 5w

5w = 20

Divide 5 both side;

w = 4

Thus, The value of w will be 4.

Learn more about the substitution method visit:

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Answer:

the angel is called acute angel

Answer:

61 degrees

Step-by-step explanation:

sin = opposite/hypotenuse  ->  sin x = 28/32  ->  sin x = 0.875  ->  x = arcsin 0.875 = 61.04

so the angle would be 61

sorry if it's wrong