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snow_tiger [21]
3 years ago
13

What is 2 squared 135

Mathematics
1 answer:
maria [59]3 years ago
3 0

Answer:

11.61895003

Step-by-step explanation:

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If the points A, B and C have the coordinates A(5, 2), B(2, −3) and C(−8, 3), show that the triangle ABC is a right-angled trian
bixtya [17]

Answer:

See below.

Step-by-step explanation:

Triangle ABC will be right-angled if 2 of its sides are perpendicular to each other. When sides are perpendicular the product of their slopes = -1.

Slope  of side AB = (-3-2)/(2-5) = -5/-3 = 5/3

Slope of side BC = (3- -3) / -8-2) = 6/-10 = -3/5

The product of the slopes = 5/3 * -3/5 = -15/15 = -1.

So AB is perpendicular to BC  and triangle ABC is right-angled .

6 0
3 years ago
A cylinder has a volume of 320x cubic inches and a height of 5 inches.
oksano4ka [1.4K]

Answer: 8 inches

Step-by-step explanation:

320π in³= π (r²) (5 in)

64 in² = r²

r = 8 in

7 0
3 years ago
Determine whether the integral is convergent or divergent. ∫[infinity] 2 e^−1/x / x^2 dx : O Convergent O divergent If it is con
monitta

Let f(x)=e^{-1/x}. Then f'(x)=\frac1{x^2}e^{-1/x}>0 for all x\ge2, so f is strictly increasing. As x\to\infty, e^{-1/x}\to e^0=1, so f is bounded above by 1. This is to say,

e^{-1/x}

and the integral of \frac1{x^2} converges over the same domain, so this integral must also converge by comparison.

We have, by setting y=-\frac1x,

\displaystyle\int_2^\infty\frac{e^{-1/x}}{x^2}\,\mathrm dx=\int_{-1/2}^0e^y\,\mathrm dy=e^0-e^{-1/2}=1-\frac1{\sqrt e}

8 0
3 years ago
HELP ASAP WILL GIVE BRAINLIESETThe area of the base of a prism is 60 mm2. The perimeter of the base is 40 mm. The height of the
lara31 [8.8K]
For finding surface area we add all the surface of the prism- 60×2=120(because in the prism there are two triangle so we are multiplying the area of triangle with 2) know we will multiply 40×8=320 perimeter is the sum of all sides. surface area= 320+120=440
3 0
3 years ago
28. How much plain yogurt will you need to make 2 1/2 dozen cookies? Show your work.
xxMikexx [17]

Answer:

\frac{5}{6} cups

Step-by-step explanation:

Normally, when working with mixed numbers, I would prefer to turn them into improper fractions first before evaluating.

1 \frac{1}{2} cookies --- \frac{1}{2} cup plain yogurt

\frac{3}{2} cookies --- \frac{1}{2} cup plain yogurt

2\frac{1}{2} cookies --- ? cup plain yogurt

\frac{5}{2} cookies --- \frac{5}{3} × \frac{1}{2} cup plain yogurt = \frac{5}{6} cups plain yogurt

5 0
3 years ago
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