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3 years ago

Apply the distributive property to factor out the greatest common factor. 35+50=

Mathematics

1 answer:

Setler [38]3 years ago

3 0

35:5*7

50: 5*2*5

85: 5*17

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A pile of sand has a weight of 90 kg. The sand is put into a small bag,a medium bag and a large bag in the ratio 2 : 3 : 7. What

tekilochka [14]

Hi there:)
Total ratio
2+3+7=12
Now find the weight of sand in each bag

Small bag
90×(2÷12)
=15 kg
Medium bag
90×(3÷12)
=22.5
Large bag
90×(7÷12)
=52.5

Hope it helps

4 0

3 years ago

Read 2 more answers

Please help, thanks I’m advance!

netineya [11]

Answer:

Step-by-step explanation:

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3 years ago

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

wlad13 [49]

Answer:

4.80

Step-by-step explanation:

To find the solution to this problem we will use the Pythagoras theorem.

${c}^{2} = {a}^{2} - {b}^{2}$

$= \sqrt{ {12}^{2} - {11}^{2}} \\ = 4.7958... \\ = 4.8$

4 0

3 years ago

A rectangle's length is three times its width. Let w denote the rectangle's width. What polynomial represents the rectangle's ar

Nataliya [291]

Width = W
Length = 3 times w = 3W

Area = length x width = 3W * W = 3W^2

8 0

3 years ago

Two people are standing on opposite sides of a hill. Person A makes an angle of elevation of 65° with the top of the hill and pe

8090 [49]

Answer:

Option 3. 71 ft. is the distance between B and top of the hill.

Step-by-step explanation:

Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.

It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.

We have to find the distance of B from the top of the hill.

Now from ΔACO $tan 65 = \frac{h}{45-x} = 2.14$

$h=2.14(45-x)$

From ΔBCO $tan80 = \frac{h}{x} = 5.67$

h = 5.67x

Now h = 5.67x = 2.14(45-x)

5.67x = 96.3 - 2.14x

2.14x + 5.67x = 96.3

7.81x = 96.3

x = 96.3/7.81 = 12.33 ft

Therefore $cos80 = \frac{x}{OB}$

$0.174 = \frac{12.33}{OB}$

$OB = \frac{12.33}{.174}=70.86=71ft.$

Therefore 71 ft is the distance between B and the top of the hill.

3 0

3 years ago