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labwork [276]
3 years ago
13

Eth enlarged the triangle below by a scale of 5.

Mathematics
1 answer:
levacccp [35]3 years ago
3 0

Answer:

She should have multiplied one half (4)(3.5) by 5 squared.

Step-by-step explanation:

We are given that

Base of triangle=b=4 cm

Height of triangle=h=3.5 cm

Area of triangle=\frac{1}{2}bh=\frac{1}{2}(4)(3.5) cm^2

After enlarged

Scale factor=5

New base of enlarged triangle=b'=4(5) cm

Height of enlarged triangle=h'=3.5(5) cm

Area of enlarged triangle=\frac{1}{2}4(5)(3.5\times 5)=\frac{1}{2}(4)(3.5)(5^2) cm^2

But Beth wrote

Area of enlarged triangle=\frac{1}{2}(4)(3.5)(5)=35 cm^2

She should have multiplied one half (4)(3.5) by 5 squared.

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Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper, how many apples does Phoebe have?
Bezzdna [24]

Answer: Phoebe have 48 apples.

Explanation:

It is given that Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper.

Let the total number of apples be x.

The sum of the ratios is,

Sum=5+3+4=12

Therefore the number of apples shared by Pru, Piper, Phoebe are \frac{5}{12}x, \frac{3}{12}x,\frac{4}{12}x respectively.

It is given that Pru has 24 more apples than Piper, so

\frac{5}{12}x-\frac{3}{12}x=24

\frac{5-3}{12}x=24

\frac{2}{12}x=24

\frac{1}{6}x=24

x=144

Since phoebe have \frac{4}{12}x appels,

\frac{4}{12}x=\frac{4}{12}\times 144=48

Therefore, Phoebe have 48 apples.

8 0
3 years ago
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The Blakely family has driven 50 miles of a 200-mile trip. Their car travels 30 miles per gallon of gas. How many gallons of gas
gregori [183]

Answer: 5 gallons

Step-by-step explanation:

200 divided by 30 = 6.6 gallons

200 - 50 = 150 miles left to their destination

They would need 5 more gallons of gas for the remainder of their trip.

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5 0
3 years ago
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Dakota earns the money shown in the table. After buying 4 chairs, she has $30 left. How much did Dakota pay for each chair
Fantom [35]
Answer: unknown (graph not shown)

Explanation: to work out the answer, you need to minus $30 from the amount of money Dakota earnt, and then divide that by 4 to find the amount of each chair.
3 0
4 years ago
The formula used to find the length of a line segment in space.
Zigmanuir [339]
It's the same formula as the one used on Earth. It is based on the Pythagorean theorem.

length = √((∆x)^2 +(∆y)^2 +(∆z)^2)
.. where ∆x, ∆y, ∆z are the differences between the end-point coordinates in the x-, y-, and z-directions, respectively.
4 0
4 years ago
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Solve using elimination<br><br> 12c+5c=190<br><br> 4c+9c=166
Alexandra [31]

Answer:

1) c=11.1764705882

2)c=12.7692307692

Step-by-step explanation:

17c=190

c=11.1764705882

13c=166

c=12.7692307692

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3 years ago
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