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KatRina [158]
3 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]3 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]3 years ago
3 0
6^2 + 10^2 equals 11.67
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Ryan earns $20.16 working 3 hours. How Much Does he earn per hour?
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|1/4 x +2| -3 =5 solve for x and graph on number line
kaheart [24]

The value of x on the number line is 24 and - 40

A number line in elementary mathematics is a representation of a graduated straight line that acts as an abstraction for real numbers, represented by the letter R. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

When seen as a geometric space, namely the one-dimensional Euclidean space, the number line, also known as a real line in advanced mathematics, is technically defined as the set R of all real numbers. It can be conceptualized as a linear continuum, metric space, topological space, vector space (or affine space), measure space, or topological space.

The given equation is

|\frac{1}{4}x+2 | -3=5

Solving the equation:

or,|\frac{1}{4}x+2 | =5+3\\or,|\frac{1}{4}x+2 |=8\\or,\frac{1}{4}x+2=\pm8\\or,x+8=\pm32\\or,x=-8\pm32

Now we take the two separate values of x:

either x=-8+32 or x=-8-32

or,x=24 or x=-40

The value of x is 24 and - 40.

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7 0
1 year ago
4. A loan made on March 12 is due September 10 of the following year. Find the exact time for the loan in a non-leap year and a
saul85 [17]

Answer:

182 days

Step-by-step explanation:

Given:

Date on which loan is made = March 12

Due date of the loan = September 10

Now,

The months in between March and September and the number of days in the particular months are

Month                          Number of days

April                               30

May                                31

June                               30

July                                 31

August                            31

------------------------------------------

Total number of days =  153

also,

Number of days left in March after 12 are (31 - 12 ) = 19 days

and,

Number of days in September before the due date = 10 days

Hence, the total time for loan = 19 + 153 + 10 = 182 days

since the included months does not have the month of February. Therefore,

the time for both leap year and non-leap year will remain same.

7 0
3 years ago
Convert 9.3 kribs into grees given that 4.2 kribs = 18 grees.
maria [59]

Answer:

39.9 grees

Step-by-step explanation:

Since 4.2 kribs = 18 grees

Then,

1 krib = 18/4.2 grees

9.3 kribs = (18/4.2) x 9 3

9.3 kribs = 39.9 grees.

4 0
3 years ago
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