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Georgia [21]
3 years ago
11

Select all names that apply. 121 121

Mathematics
1 answer:
Naily [24]3 years ago
8 0

I don't understand the question

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A boat can travel 496 km on 124 liters of fuel. How much fuel will it need to go 84 km?
Anika [276]

Answer:

A boat would need 21 liters to cover the distance of 84 km.

Step-by-step explanation:

Given

A boat can travel 496 km on 124 liters of fuel.

To determine

How much fuel will it need to go 84 km?

It is stated that:

Distance covered in 124 liters of fuel = 496 km

Thus,

Unit rate = 496 km / 124 liters

               = 4 km per liter

Thus,

The distance covered in 1 liter = 4km

In order to determine the distance covered in 84 km, all we need is to divide 84 km by 4.

i.e.

The fuel needed to go 84 km = 84 / 4 = 21 liters

Therefore, a boat would need 21 liters to cover the distance of 84 km.

7 0
3 years ago
The diagram below show the dimensions of a container of sand that is shaped like a rectangular prism . The container is filled u
monitta

Answer:

Its B

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
1 point
77julia77 [94]

Answer:

A negative integer

Step-by-step explanation:

3x - 2(5x+12) - 32 = 0

3x - 10x - 24 - 32 = 0

-7x -56 = 0

-7x = 56, x = -8

y = 5(-8) + 12, y = -28

6 0
2 years ago
SOMEONE PLEASE HELP ME! I have a few of the explanations but I'm not sure if I need more please suggest some thank you
lesantik [10]

Answer:

For tingle #1

We can find angle C using the triangle sum theorem: the three interior angles of any triangle add up to 180 degrees. Since we know the measures of angles A and B, we can find C.

C=180-(A+B)

C=180-(21.24+27.14)

C=131.62

We cannot find any of the sides. Since there is noting to show us size, there is simply just not enough information; we need at least one side to use the rule of sines and find the other ones. Also, since there is nothing showing us size, each side can have more than one value.  

For triangle #2

In this one, we can find everything and there is one one value for each.

- We can find side c

Since we have a right triangle, we can find side c using the Pythagorean theorem

b^2=a^2+c^2

4^2=2^2+c^2

16=4+c^2

12=c^2

c=\sqrt{12}

c=2\sqrt{3}

- We can find angle C using the cosine trig identity

cos(C)=\frac{adjacent}{hypotenuse}

cos(C)=\frac{2}{4}

C=arccos(\frac{2}{4} )

C=60

- Now we can find angle A using the triangle sum theorem

A=180-(B+C)

A=180-(90+60)

A=30

For triangle #3

Again, we can find everything and there is one one value for each.

- We can find angle A using the triangle sum theorem

A=180-(B+C)

A=180-(90+34.88)

A=55.12

- We can find side a using the tangent trig identity

tan(C)=\frac{opposite-side}{adjacent-side}

tan(34.88)=\frac{7}{a}

a=\frac{7}{tan(34.88)}

a=10.04

- Now we can find side b using the Pythagorean theorem

b^2=a^2+c^2

b^2=10.04^2+7^2

b^2=149.8

b=\sqrt{149.8}

5 0
3 years ago
Ray bought 5 lemons and 3 limes for $7.20. Lia bought 4 lemons and 6 limes for the same price. How much would it cost to buy 1 l
kolezko [41]

Answer:

$1.60

Step-by-step explanation:

Please see the attached pictures for full solution.

5 0
3 years ago
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