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allsm [11]
3 years ago
5

Blythe shaded 4 columns and 3 single squares of a 100 square grid to represent the portion of days that it rained last year. Wha

t percent if the grid did she not shade?
Mathematics
1 answer:
Norma-Jean [14]3 years ago
3 0

We have been given that Blythe shaded 4 columns and 3 single squares of a 100 square grid to represent the portion of days that it rained last year.

We know that one column of a 100 square grid is equal to 10 single squares. So 4 columns will be equal to 4 times 10 single squares that is 4\times 10=40.

Total shaded squares: 40+3=43.

Now we will find the number of squares that are not shaded by subtracting number of shaded squares (43) from total squares (100).

\text{Not shaded squares}=100-43

\text{Not shaded squares}=57

Now we need to find 57 is what percent of 100.

\frac{57}{100}\times 100\%=57\%

Therefore, Blythe did not shade 57% of the grid.

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Find the length of the hypotenuse

34^2 + 27^2 = c^2

1156 + 729 = 1885

c^2 = 1885

sqrt(1885)

c = 43.42

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3 years ago
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Step-by-step explanation:

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Lisle bought 38 pounds of red grapes and 512 pound of green grapes how many pounds of Grapes did he buy
Svet_ta [14]

Answer:

19/24

Step-by-step explanation:

From the question we are informed that Lisle bought 3/8 pounds of red grapes and 5/12 pound of green grapes

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✓First thing to do is to add the fractions

But we need " the least common denominator" because their denominator are not the same, we need to make it the same...

✓ The two denominator ( 8 and 12) are both factor of 24, therefore their "least common denominator" is 24.

✓To make 3/8 pounds of red grapes has a denominator of 24, we multiply both the denominator & numerator with factor of 3.

3/8 = (3×3)/(8×3)=9/24

✓To make 5/12 pounds of green grapes has a denominator of 24, we multiply both the denominator & numerator with factor of 2.

5/12= (5×2)/(12×2)= 10/24

✓ we can see they both have the same denominator, then we can now "add both denominators"

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= 19/24.

Therefore, he bought 19/24 of grapes

5 0
3 years ago
If cos theta =12/13.find 1+cot theta
hammer [34]

Answer:

17/5

Step-by-step explanation:

If cosθ = 12/13, find (1+cotθ)

As shown in the diagram attached,

Cotθ = 1/tanθ = adjacent/opposite

From the diagram attached,

cotθ = 12/a................... Equation 1

But we can find the value of a by using  pythagoras theorem

13² = 12²+a²

169 = 144+a²

a² = 169-144

a² = 25

a = √25

a = 5.

Substitute the value of a into equation 1

Therefore,

cotθ = 12/5

(1+cotθ) =(12/5)+1 = (5+12)/5

(1+cotθ) = 17/5

5 0
3 years ago
The librarian was checking the thicknesses of several books and found that the average thickness of a book was 1.8 centimeters.
kvasek [131]

Answer:

1.2 cm

Step-by-step explanation:

1.8 * 5 = 9

9 - (1.4 + 1.9 + 2.1 + 2.4) = 1.2

1.2 + 1.4 + 1.9 + 2.1 + 2.4 = 9

9/5 = 1.8

4 0
3 years ago
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