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3 years ago

Find the percent of increase from 1.5 inches to 6 inches.

1 answer:

8 0

Well, from 1.5 to 6 is a 4.5 difference.

now, if we take 1.5 to be the 100%, what is 4.5 off of it in percentage?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1.5&100\\
4.5&p
\end{array}\implies \cfrac{1.5}{4.5}=\cfrac{100}{p}\implies p=\cfrac{4.5\cdot 100}{1.5}$

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The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo

kompoz [17]

Answer:

$h = 12$

$x = 9$

$y= 16$

Step-by-step explanation:

Given

The attached triangle

Required

Find h, x and y

Let the base of the triangle be 15.

So, the area is:

$A = \frac{1}{2} * 15 * 20$

$i.e\ height = 20$

$A = \frac{1}{2} * 300$

$A = 150$

Let the base of the triangle be 25.

So, the area is:

$A = \frac{1}{2} * 25 * h$

$i.e\ height = h$

$A = \frac{1}{2} * 25h$

Substitute $A = 150$

$\frac{1}{2}*25h = 150$

Solve for h

$h = \frac{150 *2}{25}$

$h = 6 *2$

$h = 12$

Considering the smallest triangle

$Hypotenuse = 15$

So:

$15^2 = h^2 + x^2$

$15^2 = 12^2 + x^2$

This gives:

$15^2 - 12^2 = x^2$

$81 = x^2$

Take square roots

$9 =x$

$x = 9$

Solving for y

$x + y = 25$

$y= 25 - x$

$y= 25 - 9$

$y= 16$

7 0

2 years ago

Sam paid $8.28 for 18 stamps.at this rate,how much would it cost Sam to buy 12 stamps

allsm [11]

Answer: It costs $5.52 to Sam to buy 12 stamps.

Step-by-step explanation:

Given: Sam paid $8.28 for 18 stamps.

Thus, the cost of 18 stamps = $8.28

Then the cost of 1 stamp= $\frac{8.28}{18}$

Thus, the cost of 1 stamp=$0.46

With the same rate , the cost of 12 stamps= $0.46\times12$

Therefore, the cost of 12 stamps= $5.52

hence, it costs $5.52 to Sam to buy 12 stamps.

3 0

3 years ago

Read 2 more answers

Angela practices piano for 5 hours on Sundays amd for 3 hours on all other days of the week. How many hours doea Angela practice

Kitty [74]

Answer:8 x 365=2920

Step-by-step explanation:

First, you add 5 + 3 which equals 8. Then there is 365 days in a year so you would multiply 8 times 365 which equals 2920.

Pretty sure this is right, hope it helps.

7 0

2 years ago

Find the common difference of the arithmetic sequence.

slavikrds [6]

Each time you are subtracting 1/9 to get the next term

For example, going from term 2 to term 3 is a difference of -1/9

(1 8/9) - (1/9) = 1 7/9

which is why the answer is choice A

7 0

3 years ago

HELP please.

Delvig [45]

Answer:

Q1: $\frac{3}{4}$

Q2: $\frac{83}{100}$

Step-by-step explanation:

Q1: 12 : 16 = 3 : 4 = $\frac{3}{4}$

Q2: 8.3 : 10 = $\frac{83}{100}$

3 0

3 years ago