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3 years ago

If a pool is 4 m wide and 16 m diagonally across, how long is the pool? (Pyth. Theorem)

Mathematics

1 answer:

alukav5142 [94]3 years ago

4 0

Answer:

$L=4\sqrt{15}\ m$

$L=15.49\ m$

Step-by-step explanation:

we know that

Applying the Pythagorean Theorem in the rectangular pool

$d^2=L^2+W^2$

where

d is the diagonal of the pool

L is the length of the pool

W is the wide of the pool

we have

$d=16\ m\\W=4\ m$

substitute the given values

$16^2=L^2+4^2$

solve for L

$L^2=16^2-4^2\\L^2=240\\L=\sqrt{240}\ m$

simplify

$L=4\sqrt{15}\ m$

$L=15.49\ m$

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Andrea has a savings account with $80 that earns 2% interest per

lianna [129]

Answer:

After 10 years, she will has $96 in her bank.

Step-by-step explanation:

It is given that Andrea's saving account is $80 and earns 2% interest per year as a Simple Interest (Not Compounded). Using simple interest formula, Interest = (P×R×T)/100 where P is the principal, R is the interest rate and T is number of years :

$I = \frac{p \times r \times t}{100}$

P = $80

R = 2%

T = 10 years

$I = \frac{80 \times 2 \times 10}{100}$

$I = \frac{1600}{100}$

$I = 16$

It is given that the interest amount is $16. So the total amount she has after 10 years in the bank is $96 :

interest amount = $16

principal = $80

total = $16 + $80

= $96

8 0

3 years ago

Solve for w - 2w - 7 = 9

liberstina [14]

Step-by-step explanation:

-2w=9+7

-2w=16

w=16/-2

w=-8

3 0

3 years ago

Read 2 more answers

I need help this Question

Delicious77 [7]

Using the combination formula, it is found that the number of ways to choose the presenters is given by:

C. 462.

The order in which the presents are chosen is not important, hence the combination formula is used to solve this question.

<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, 6 students are chosen from a set of 11, hence the number of ways is given by:

$C_{11,6} = \frac{11!}{6!5!} = 462$

More can be learned about the combination formula at brainly.com/question/25821700

#SPJ1

8 0

2 years ago

Beulah used 3/5 pounds of dough, 3/4 pound of sugar, & 2/3 pounds of sprinkles to make donuts. How many pounds of donuts did

andre [41]

Number of pounds of dough used = 3/5 pounds.

Number of pounds of sugar used = 3/4 pounds

Number of pounds of sprinkles used = 2/3 pounds.

Total number of pounds of donuts = Number of pounds of dough used + Number of pounds of sugar used + Number of pounds of sprinkles used.

Plugging values.

Total number of pounds of donuts = 3/5 + 3/4 + 2/3.

We need to add all those fractions.

In order to add fracions, we need to find common denominator (lcd).

We have 5,4 and 3 in denominators.

Least common denominator(lcd) of 5, 4 and 3 is 60.

We need to make each denominator equals 60.

Multiplying first fracion by 12 in top and bottom, we get

3*12/5*12 = 36/60

Multiplying first fracion by 5 in top and bottom, we get

3*15/4*15 = 45/60

Multiplying first fracion by 20 in top and bottom, we get

2*20/3*20 = 40/60.

Therefore,

3/5 + 3/4 + 2/3 = 36/60 + 45/60 + 40/60

= 121/60

Let us convert 121/60 into mixed fraction.

Dividing 121 by 60 we get quotient =2 and remainder =1.

So, the mixed fraction is 2 1/60.

Therefore, Beulah made total 2 1/60 pounds of donuts.

4 0

4 years ago

6) What is the mystery number?

valkas [14]

9.333048
is what I believe the mystery number would be

6 0

3 years ago

Read 2 more answers