Alberto wants to keep their favorite tree from being uprooted by heavy winds. They plan to tie 3 sections of rope to a band on the trunk of the tree, 5 feet above the ground. They will tie each section of the rope to a stake in the ground 12 feet out from the base of the tree. How much rope will he need altogether?

Answers

Answer 1

Answer:

Answer:

39 ft

Step-by-step explanation:

Using the description as a guideline I have drawn out the situation (badly drawn) as seen in the picture below. From the picture, we see that we need to find x which is the length of one of the ropes. Once we have this length we simply multiply it by 3 to find out how much rope we need altogether. Since this is the diagonal of a triangle we can use the Pythagorean theorem to solve for x.

Pythagorean theorem: $a^(2) +b^(2) = c^(2)$ .... which a and b are the two sides while x is the diagonal.

$5^(2) +12^(2) = x^(2)$

$25 + 144 = x^(2)$

$169 = x^(2)$ ... now we square root both sides

$13 = x$

Now that we have the length of one of the ropes we simply multiply this by 3 to find the total amount of rope needed.

13 * 3 = 39 ft

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If the probability that the Seahawks will win any given game is 0.6, the probability that they will lose three games in a row is _? Write your answer as a decimal.

Answers

-- If the probability of winning any given game is 0.6,
then the probability of losing that game is 0.4 .

The probability of losing Game #1 = 0.4
The probability of losing Game #2 = 0.4
The probability of losing Game #3 = 0.4

The probability of all 3 events occurring = (0.4) · (0.4) · (0.4)

= (0.064) = 6.4% .

Reed uses 88 pieces of glass per square foot to make a stained glass window. how many pieces of glass will he need to make a window that is 864square inches?

Answers

He will need 528 pieces of glass.

Hope this helps!

Please mark as brainliest because it helps me out a lot :)

a man invested a total of $3,000 in two investments. he made a profit of 3% on the first investment and 4% on the second investment. if his total profit was $107, what was the amount of each investment?

Answers

Let the first investment be x
and second be 3000-x

so 3%of x + 4% of (3000-x) = 107
By solving x = 1300

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A clerk was asked to change a $10 bill. She returned 9 more dimes than nickels and twenty-one more quarters than dimes. How many coins of each did she return?

Answers

On Solving equation in one variable 0.4x = 5.2, we found that the clerk returned 13 dimes, 34 quarters and4 nickels in change of $10 bill.

What is an linear equation in one variable?

Linear equation is an equation containing one variable with power one and constants.

Standard form of an linear equation in one variable x is :

ax + b= 0 , a, b are constants

x= -b/ a is solution if this equation. Linear equation can be solved by adding or subtracting , multiplying , division same number to both sides.

A clerk need a change of $10 bill

Let the clerk returned x dimes and y nickels and z quarters to pay $10

Value of one nickel = $ 0.05, one dime = $ 0, one quarter = $ 0.25

Value of x dimes becomes 0.1x

Value of y nickels becomes 0.05 y

value of z quarters becomes 0.25 z

Total value of given dimes, quarters and nickels , 0.1 x + 0.05 y + 0.25z = 10

Number of dimes = Number of nickels + 9

∴ x = y +9 ⇒ y = x- 9

Number of quarters = Number of dimes +21

∴ z = x + 21

Put y = x-9 and z = x + 21 in 0.1 x + 0.05 y + 0.25z = 10

Then,

0.1 x + 0.05 ( x-9) + 0.25 (x +21) = 10

⇒ 0.1 x +0.05x -0.45 + 0.25 x + 5.25 = 10

⇒ 0.4x +4.8 = 10

⇒ 0.4 x = 10- 4.8

⇒ 0.4x = 5.2

⇒ x = 5.2/0.4 = 13

Thus , y = x-9 = 13 -9 = 4

z = x + 21 = 13 + 21 = 34

Therefore, the clerk returned 13 dimes , 4 nickels and 34 quarters for $10 bill.

Also, learn more about linear equation from the link below:

brainly.com/question/24145091

#SPJ2

quarters. 34×0.25= 8.50
dimes. 13×0.10= 1.30
Nickels. 4×0.05= 0.20
total=10.00

(21×0.25)+(9×0.10)+(4×0.05)+(4×0.10)+(13×0.25)=10

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Answers

$Answer:14\n\nbecause\ in\ 13\ \overline{AE}=\overline{CA}\ and\ \overline{BE}=\overline{DE}\ is\ a\ rhombus.$

Hello,
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Answer ⇒ 14
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