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denpristay [2]
3 years ago
8

Two towns are 80km apart. Sylvia wants to drive from one town to the other in exactly one hour. For the first 30minutes she driv

es at a rate of 60km/h. At what constant rate must she drive for the next 30minutes if she is to accomplish her goal?
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
5 0

Answer:

100 km/hr

Step-by-step explanation:

First Leg:

Speed = 60 km/h

Time = 30 min = 0.5 h

1st leg distance = speed x time = 60 km/hr x 0.5hr = 30 km

Second Leg:

Distance remaining = 80 km - 30 km = 50 km

Time = 30 min = 0.5 h

speed = distance / time = 50 / 0.5 = 100 km/hr

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The base and the height of a triangle are multiplied by 5/4. Which of the following describes the
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Answer:

The option that describe the effect of the change is;

  • The perimeter is multiplied by 5/4

Step-by-step explanation:

The parameters from the question are;

The (scale) factor by which the base and the height of the triangle are multiplied = 5/4

By the constant proportion of their sides, the triangle before and the triangle obtained after the multiplication are similar

Let 'a' and 'b' represent the length of the base and the height of the triangle respectively, we have;

The area of the triangle, A₁ = 1/2 × a × b = a·b/2

With the application of the scale factor of 5/4, we have;

The area of the scaled triangle, A₂ = 1/2 × (5/4) × a × (5/4) × b = (5/4)² × a·b/2

Therefore, the scale factor of the area = (5/4)²

The scale factor of the perimeter = √(The scale facto of area)

∴ The scale factor of the perimeter = √(5/4)² = (5/4)

The scale factor of the perimeter = (5/4)

Therefore, the perimeter of the scaled triangle is obtained by multiplying the perimeter of the initial triangle by (5/4).

8 0
3 years ago
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Find the missing value of the direct variation (2,5) (5,y)
Karolina [17]

Answer:

The missing value y=12.5 and we have (5,12.5)

Step-by-step explanation:

The formula used for direct variation is:

y\: \alpha \:x\\y=kx

We need to find missing value (2,5)(5,y)

First we will find k, and then y

We have x=2, y=5

Find k:

y=kx\\5=k(2)\\k=\frac{5}{2}\\k=2.5

Now, we cam find missing value in (5,y)

We have x=5, k=2.5 and y=?

y=kx\\y=2.5(5)\\y=12.5

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valkas [14]
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Depends on MPH or Miles Per Hour.

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