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Nat2105 [25]
3 years ago
13

Translate and simplify the expression the sum of fifteen and a number plus twelve

Mathematics
1 answer:
mr Goodwill [35]3 years ago
3 0
I think it might be 15n + 12 sorry if it’s not
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∆ABC is similar to ∆DEF. The ratio of the perimeter of ∆ABC to the perimeter of ∆DEF is 1 : 10. The longest side of ∆DEF measure
exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC  is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is \frac{1}{100}

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x ----> the length of the longest side of ∆ABC

y ----> the length of the longest side of ∆DEF

so

z=\frac{x}{y}

we have

z=\frac{1}{10}

y=40\ units

substitute

\frac{1}{10}=\frac{x}{40}

solve for x

x=(40)\frac{1}{10}

x=4\ units

therefore

The length of the longest side of ∆ABC  is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of ∆ABC

y ----> the area of ∆DEF

z^{2}=\frac{x}{y}

we have

z=\frac{1}{10}

so

z^2=(\frac{1}{10})^2

z^2=\frac{1}{100}

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is \frac{1}{100}

3 0
3 years ago
How many solutions does the equation −4a + 4a + 3 = 8 have?
vladimir1956 [14]

Answer:

none

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
-4.7 divided by 1\4 ????????????????
Nady [450]

Answer:

-18.8

Step-by-step explanation:

1/4 as a decimal is 0.25 so then if you divide -4.7 by 0.25 the answer is -18.8 :)

I hope this helped :)

3 0
3 years ago
Read 2 more answers
Find the integral of this problem
balu736 [363]
So, the anti derivative= x^2 -.8x +C. Ignore C.
Plug in 2= 4-(2)(.8)=2.4
Plug in .4= .16-(.4)(.8)=-.16
2.4-(-.16)= 2.56
4 0
3 years ago
Your school district cancels schools when more than 2.5 inches of snow accumulate on the ground each hour. Snow is currently acc
kari74 [83]

Answer:

Extra snow needed > 0. 3 inch

Step-by-step explanation:

Given that:

Cancelation occurs when > 2.5 inch of snow accumulates each hour

Accumulation rate = 11/5 inch per hour

Extra snow Accumulation needed to cancel. School ;

Extra snow needed > cancelation volume - current rate

Extra snow needed > (2.5 - 11/5)

Extra snow needed > 0. 3 inch

5 0
3 years ago
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