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Romashka-Z-Leto [24]
3 years ago
15

Which shows how the distributive property can be used to evaluate 7x8 4/5?

Mathematics
2 answers:
masha68 [24]3 years ago
7 0

Answer: 56 + 28/5

Step-by-step explanation:

Yuri [45]3 years ago
5 0

Answer:

61 3/5

Step-by-step explanation:

we realize that 8 4/5 can be written as [8 + (4/5)]

hence 7 x 8 4/5

= 7 x [8 + (4/5)]

= 7 [8 + (4/5)]   (use the distributive property, see attached for reference)

= 7(8) + 7(4/5)

= 56 + 28/5  (convert 28/5 into mixed fraction)

= 56 + 5 3/5

= 61 3/5 (answer)

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Find the area of the shape below.
m_a_m_a [10]

Answer:

 A_{shape}=A_{triangle}+A_{square}\\\\A_{shape}=(\frac{bh}{2}+s^2)\ units^2

Step-by-step explanation:

I assume that it is a composed figure formed by a triangle and a square.Since you did not  give the dimensions of the triangle and the dimensions of the square, I will giveyou  a general explanation about how to solve this exercise.

The area of the shape will be the sum of the the area of the square and the area of the triangle.

Then, you need to remember that the area of a triangle can be calculated with the following formula:

A_{triangle}=\frac{bh}{2}

Where "b" is the base and "h" is the height.

And the area of a square can be found with this formula:

A_{square}=s^2

Where "s" is the length of any side of the square.

Therefore, the area of the shape will be

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3 0
3 years ago
Find the direction angle of 3i+1j.<br><br> Please help me. Thank you
Alekssandra [29.7K]

Answer:

Correct answer:  ∝ = 18.43°

Step-by-step explanation:

Given coordinates represent one vector in x-y plane, let be v.

v = 3i +1j = xi + yj => x = 3 and y = 1

The angle that this vector builds with the positive direction to the x axis will be found using the tangent.

∝ = tan⁻¹ y/x = tan⁻¹ 1/3 = tan⁻¹ 0.333 = 18.43°

∝ = 18.43°

God is with you!!!

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3 years ago
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Step-by-step explanation:

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