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anygoal [31]
3 years ago
12

The batman roller coaster is 2700 feet long. The green lantern roller coaster is 53% longer than the batman roller coaster. abou

t how long is the green lantern roller coaster?
a) 1,269 feet
b) 1,431 feet
c) 4,131 feet
d) 3,969 feet
Mathematics
1 answer:
Kipish [7]3 years ago
8 0

answer:

work:

First set up your proportion

part. 53. x

------- = ----- = ------

whole 100. 2700

I'm choosing to cross multiply but there are different methods

so 100x= 143100

then you have to get x by itself so you divide each side by a hundred and x= 1431

here ya go

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Harrizon [31]
Bearing in mind that an isosceles triangle has twin sides, and coming out of the vertex they make twin angles at the base, check the picture below.

4 0
2 years ago
Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. If​po
steposvetlana [31]

The two curves y=x and y=x^{1/15} intersect at x=0 and x=1, with x^{1/15}\ge x over 0\le x\le1.

  • Washer method

\displaystyle\pi\int_0^1\left(\left(x^{1/15}\right)^2-x^2\right)\,\mathrm dx=\pi\int_0^1\left(x^{2/15}-x^2\right)\,\mathrm dx=\pi\left(\frac{15}{17}-\frac13\right)=\boxed{\frac{28\pi}{51}}

  • Shell method

We have y=x^{1/15}\implies x=y^{15}. The curves x=y and x=y^{15} intersect at y=0 and y=1, with y\ge y^{15} over 0\le y\le1.

\displaystyle2\pi\int_0^1y\left(y-y^{15}\right)\,\mathrm dy=2\pi\int_0^1\left(y^2-y^{16}\right)\,\mathrm dy=2\pi\left(\frac13-\frac1{17}\right)=\boxed{\frac{28\pi}{51}}

6 0
3 years ago
An aquarium has a length of n^ 2 +2 inches, a height of n + 5 inches, and a width of 10 inches. What is the volume, in cubic inc
kodGreya [7K]

The formula of a volume of a rectangle prism:

V=lwh

l - length

w - width

h - height

We have

l=n^2+2;\ w = 10,\ h=n+5

Substitute:

V=(n^2+2)(10)(n+5)=(10n^2+20)(n+5)\\\\=(10n^2)(n)+(10n^2)(5)+(20)(n)+(20)(5)\\\\=10n^3+50n^2+20n+100

<h3>Answer: V = (10n³ + 50n² + 20n + 100) in³</h3>
5 0
3 years ago
Based on the measures provided in the diagram, determine the measure of AEG
MArishka [77]

Answer:

277°

Step-by-step explanation:

The measure of arc AEG = AB + BE + EF + FG

The central angle is congruent to the arc that subtends it

∠ ECB = 180° - 44° = 136° ( adjacent angles )

∠ECF = ∠ ACB = 44° ( vertical angles ), thus

AEG = 44° + 136° + 44° + 53° = 277°

8 0
3 years ago
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Answer:

Step-by-step explanation: its yo mama :)

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