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Temka [501]
3 years ago
13

In ΔEFG, the measure of ∠G=90°, FG = 2.3 feet, and EF = 6.4 feet. Find the measure of ∠F to the nearest degree.

Mathematics
1 answer:
kondaur [170]3 years ago
7 0

Answer:

69 degrees

Step-by-step explanation:

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The sum of 6 consecutive integers is 204. what is the fourth number in this sequence?
zloy xaker [14]

Let x by the smallest of the 6 integers. Then

x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=204

\implies6x+15=204

\implies6x=189

But 189 is odd, so it cannot be divisible by 6, which means x is not an integer...

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Isabella and Madeline share a bag of cherries. if isabella eats 25% of the cherries and there are 76 cherries in the bag, how ma
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Answer:

19

Step-by-step explanation:

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nexus9112 [7]

Answer:

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2 years ago
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A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. The b
givi [52]

The mass of brick is 2478 gram

<em><u>Solution:</u></em>

A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches

Length = 8 inches

Width = 3.5 inches

Height = 2 inches

<em><u>The volume of rectangular prism is given as:</u></em>

volume = length \times width \times height

volume = 8 \times 3.5 \times 2\\\\volume = 56

Thus volume of brick is 56 cubic inches

<em><u>Convert inches to centimeter</u></em>

1 inch = 2.54 centimeter

Therefore,

56 cubic inches = 56 x 2.54 x 2.54 x 2.54 cubic centimeter

56 cubic inches = 917.676 cubic centimeter

Thus, we get,

volume = 917.676 cubic centimeter

The brick has a density of  2.7 grams per cubic centimeter

Density = 2.7 grams

<em><u>The mass of brick is given by formula:</u></em>

mass = density \times volume

<em><u>Substituting the values we get,</u></em>

mass = 2.7 \times 917.676\\\\mass = 2477.724 \approx 2478

Thus mass of brick is 2478 gram

7 0
2 years ago
Four friends go to an amusement arcade.
galben [10]

<u><em>Answer:</em></u>

<u>The rule is: </u>

T(x) = 8x + 20

<em><u>Explanation:</u></em>

<u>We are given that:</u>

<u>The rule for the amount that one friend pays is:</u>

C(x) = 2x + 5

<u>Now, we know that:</u>

Each of the four friends will pay the entry fee which is $5 per person

The 4 friends will play the same number of games represented by x

<u>This means that:</u>

We can simply get the rule for the total amount to be paid by the four friends (T(x)) by multiplying the amount paid by each friend by 4

<u>This means that:</u>

T(x) = 4 * C(x)

T(x) = 4(2x + 5)

T(x) = 8x + 20

Hope this helps :)

4 0
3 years ago
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