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mojhsa [17]
3 years ago
15

How are integers and their opposites related? give an example with numbers.

Mathematics
1 answer:
alukav5142 [94]3 years ago
7 0

Answer:

Integers are the set of whole numbers and their opposites. Whole numbers greater than zero are called positive integers. Whole numbers less than zero are called negative integers. The integer zero is neither positive nor negative, and has no sign. Two integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line. Positive integers can be written with or without a sign. an example with numbers is 17positive and 17 negative both are 17 (clicks/jumps/etcetera) away from 0. There is no 0 positive or negative.

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin(x
V125BC [204]

Answer with explanation:

The equation of two curves are

y=8 sin x

y=8 cos x

The point of intersection of two curves are

→8 sin x=8 cos x

sinx = cos x

x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2}

When you will look between points , 0 and x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2},the curve obtained is right angled triangle.

Now, rotate the curve that is right angled triangle along the line , y= -1, to obtain a shape similar or resembling with Right triangular prism.

Draw a circular disc in the right triangular prism , having radius =x,and small part on the triangle having length dx.dx varies from 0 to \frac{\pi}{4}.

Required volume of solid obtained

    =\int\limits^{\frac{\pi}{4}}_0 {8 \sin x} \, dx \\\\=|-8\cos x|\left \{ {{x=\frac{\pi}{4}}} \atop {x=0}} \right.\\\\=8-4\sqrt{2}

    =8-4√2 cubic units    

5 0
3 years ago
A damsel is in distress and is being
Katen [24]

Answer:

30 feet

Step-by-step explanation:

Let x be the length of the ladder. Then, x cos(60) = 15

If we divide both sides by cos(60), then x = 30 feet.

6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Cqquad%5Chuge%5Cunderline%7B%5Cboxed%7B%5Csf%20%5C%3A%20Question%7D%7D" id="TexFormula1" tit
vovikov84 [41]

So here's gives that

total weight of 25 bags = 50 x 25

= 1250

total cost of 25 bags weighing 50 kg is = 15000

cost of 1 kg = 15000 ÷ 1250 = 12

now total weight of 15 bags weighing 30 kg = 450

cost per kg = 12

cost of 15 bags weighing 30 each = 450 x 12

Answer = 5400 rupees.

5 0
2 years ago
Can anyone help me. Will give you all my points and brainliest:)
PilotLPTM [1.2K]

See the attachments for the answer :)

8 0
3 years ago
What does 2 (p -q) +5 (p+q) equal when p = 7 and q = -2? Answer:​
salantis [7]

Answer:

43

Step-by-step explanation:

Given

2(p - q) + 5(p + q) ← substitute p = 7 and q = - 2 into the expression

= 2(7 - (- 2)) + 5(7 + (- 2))

= 2(7 + 2) + 5(7 - 2)

= 2(9) + 5(5)

= 18 + 25

= 43

7 0
3 years ago
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