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Allisa [31]
3 years ago
7

The rectangular prisms shown below are similar. What are the values of x and y?

Mathematics
2 answers:
Marrrta [24]3 years ago
3 0
The answer would be 6
liq [111]3 years ago
3 0

9514 1404 393

Answer:

  • x = 2 1/4
  • y = 6

Step-by-step explanation:

We can write the corresponding dimensions:

  larger : smaller

heigh: 8 : y

width: 12 : 9

depth: 3 : x

Since the figures are similar, corresponding values are proportional. This means ...

  y/8 = 9/12

  y = 8(9/12)

  y = 6

__

  x/3 = 9/12

  x = 3(9/12) = 9/4

  x = 2 1/4

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Emily and Andy each go to a hardware store to buy wire.The table shows the relationship between the cost and the length of wire.
Lady_Fox [76]

Answer:

So, Emily will spend,  11.52 unit on wire

and, Andy will spend  18.72 unit on wire.

Step-by-step explanation:

Cost of wire is = \frac {4.80}{120}

                       =  \frac {5.40}{135}

                       = \frac {6.00}{150}

                       = \frac {7.00}{175}  

                        = 0.04 unit/inch

We know that,

 12 inch = 1 foot    and

  1 yard = 3 foot    [Note that unit of a quantity always denoted singular].

So, Emily will spend,

  24 \times 12 \times 0.04 unit

 = 11.52 unit on wire

and, Andy will spend,

  13 \times 3 \times 12 \times 0.04 unit

 = 18.72 unit on wire.

5 0
4 years ago
A car can travel 234 miles on 26 gallons of gasoline. How far can it travel on 51 gallons?
castortr0y [4]

Answer:

459 Miles

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
6. Find the value of x. (HINT: Find the missing angles inside the triangle first)
DIA [1.3K]

Answer:

x=120°

Step-by-step explanation:

First, let's look at ΔBAC. We can see that all three sides, AB, BC, and CA, are congruent. This means that the triangle is an equilateral triangle, meaning that all angles of the triangle are congruent.

A property of all equilateral triangles is that the interior angles are all 60°. We can prove this by dividing 180, the sum of the interior angles of a triangle, by 3, because there are three equal angles in an equilateral triangle. 180/3=60.

This means that we now know ∠BAC is 60°.

Now let's look at GC. It is a straight line, meaning the angle GAC is 180°.

If ∠BAC is 60°, and ∠GAC is 180°, then x must be 180-60=120°.

x=120°

6 0
3 years ago
A contractor is building the base of a circular fourtain.On the blueprint, the base the fountain has a diametro of 18 centimeter
marysya [2.9K]

Answer:

  452.4 ft²

Step-by-step explanation:

The radius on the blueprint is (18 cm)/2 = 9 cm, so the actual radius will be ...

  radius/(9 cm) = (4 ft)/(3 cm)

  radius = (9 cm)(4 ft)/(3 cm) = 12 ft

Then the area of the fountain is ...

  A = πr² = π(12 ft)² = 144π ft²

The area is about 452.4 ft².

8 0
3 years ago
How do you solve for X? Is there a certain number you should get?
natima [27]

Answer:

No

Step-by-step explanation:

X+51 + 80 + 60 = 180

X + 191 = 180

X = 180-191

... gives a negative number

8 0
3 years ago
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