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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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Which equation can be used to find two numbers such that twice the first equals three times the second and three times their dif
Musya8 [376]
Let the numbers be a and b and b>a

2a=3b  and 3(b-a)=2(b-a)+13

Solving the first for a:

2a=3b

a=3b/2, now using this value of a in the second equation gives you:

3(b-3b/2)=2(b-3b/2)+13  upon performing indicated operations.

3b-9b/2=2b-6b/2+13  making all terms have a common denominator of 2

(6b-9b)/2=(4b-6b+26)/2  multiplying the whole equation by 2

6b-9b=4b-6b+26  combining like terms

-3b=-2b+26  adding 2b to both sides

-b=26  dividing both sides by -1

b=-26, since a=3b/2

a=3(-26)/2

a=-39

So the numbers are -39 and -26

check...

2a=3b becomes:

2(-39)=3(-26)

-78=-78

3(b-a)=2(b-a)+13 becomes:

3(-26--39)=2(-26--39)+13

3(13)=2(13)+13

39=26+13

39=39

correct :P
3 0
3 years ago
At its peak, an online shopping site was selling about 420420 items per second. At this rate, how many items would it sell in 30
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Answer:

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Step-by-step explanation:

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If m=5 and n = 2, find the value of 3mn
ki77a [65]

Answer:

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Step-by-step explanation:

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2 years ago
Calculate the breadth if the perimeter is 16cm and the length is 5cm​
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Step-by-step explanation:

<h3>Given,</h3>

perimeter - 16cm

length - 5cm

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7 0
3 years ago
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Choose the situation in which the use of approximate numbers is most appropriate.
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A. 

Getting an exact number for gravel is difficult because it spills and the ground is not usually perfectly level. Thus it would be okay to estimate the amount needed. 
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