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KatRina [158]
4 years ago
6

Troy is building a rectangular garden that is 10 feet by 6 feet.What should be the length of the diagonals to ensure a 90 degree

angle?
Mathematics
2 answers:
qaws [65]4 years ago
4 0

Answer:

Length of the diagonals = 11.66 feet

Step-by-step explanation:

Troy is building a rectangular garden with dimensions 10 feet and 6 feet.

We have to calculate the length of the diagonals of the park to ensure a 90° angle.

As we know in a rectangle all angles are of 90° and both the diagonals are of same length.

Therefore by Pythagoras theorem we can find the diagonal of the rectangle.

Diagonal² = 10² + 6²

Diagonal = √(100+36) = √(136)

               = 11.66 feet

Therefore, length of the diagonals will be = 11.66 feet

mina [271]4 years ago
3 0
6^2 + 10^2 equals 11.67
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A scrap metal buyer pays $2.79 per square foot of steel.
RUDIKE [14]

Answer:

a. You can earn about $245

b. You will earn about $35 less if the lid is missing

Step-by-step explanation:

a. To solve this we first need to calculate the surface area of the drum, which has a cylinder shape, therefore it's surface area is given by:

surface area = 2*(pi*r² + pi*r*h)

r = d/2 = 4/2 = 2 ft

surface area = 2*(pi*2² + pi*2*5)

surface area = 2*(4*pi + 10*pi) = 2*14*pi = 28*pi ft²

surface area = 87.96 ft²

Since each square foot pays $2.79, then the total value of the drum is:

value = surface area * 2.79 = 87.96*2.79 = $245.42

b. If the lid of the drum is missing, then the surface area is given by:

area drum with no lid = surface area - lid area

area drum with no lid = 87.96 - pi*(2)² = 87.96 - 12.566 = 75.394 ft²

value = area drum with no lid * 2.79

value = 75.394 * 2.79 = 210.35

loss value = 245.42 - 210.35 = $35.07

7 0
3 years ago
WILL MARK BRAINIEST!!! 20 POINTS!!! Determine the equivalent system for the given system of equations. 4x − 5y = 2 10x − 21y = 1
aniked [119]

Answer:

none of the options

Step-by-step explanation:

4x − 5y = 2 , 10x − 21y = 10

---------

the first equation is same in all answer choices, let's check which is equivalent to second, the easy way is to consider x/y ratio which is 10/ -21

4x − 5y = 2 , 3x − y = 4

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4x − 5y = 2 , 24x − 47y = 22

  • no, the ratio is 24/ -47

4x − 5y = 2 , 10x + 3y = 15

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4x − 5y = 2 , 14x + 26y = 12

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3 years ago
(need fast answer 25pts)
soldi70 [24.7K]

Answer:

The answer is 9 weeks I typed the answer fast. How because 12+(n-1)(6) would turned to 60=12+6(n-1) and that will turn to 48=6(n-1) and that will turn to 8= n-1 so n=9 weeks.

6 0
2 years ago
PLZ HELP ASAP INSCRIBED QUADRILATERALS
svp [43]
For an inscribed quadrilateral, opposite angles add up to 180 degrees. In this case, if we are looking for the measure of angle D, we can use the fact that angles I & D add up to 180 degrees. Since angle I = 117:
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4 years ago
Marianne buys 16 bags of potting soil which come in 5/8 pound bags. This equals to 10 pounds of potting soil. Her father calls a
Ann [662]

Answer:

5 bags

Step-by-step explanation:

Given Marianne buys 16 bags of potting soil which come in 5/8 pound bags

The above provides 10pounds of potting soil already

Now her father says he needs 13 pounds So Marianne should get an extra of 13 - 10 =3 pounds of potting soil

We know that 1 bag contains 5/8 pounds of potting soil

x bags contain 3 pounds of potting soil

On cross multiplication we get

\frac{5x}{8}=3

x = \frac{24}{5}

since x is an integer x = 5 bags  

Note that an extra amount of soil will be remained unused

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3 years ago
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