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3 years ago

Please help me please help me the problems are up above

Mathematics

1 answer:

fomenos3 years ago

5 0

The volume of a sphere with radius $r$ is $\frac{4}{3}\pi r^3$ . If the radius is multiplied by a constant $k$ , then the new volume is $\frac{4}{3} \pi (kr)^3$ , which is equal to $k^3 \cdot \frac{4}{3} \pi r^3$ . This means that the volume of the sphere is multiplied by $k^3$ .

a. If the radius is doubled, the volume is multiplied by 8

b. If the radius is tripled, the volume is multiplied by 27

c. if the radius is quadrupled, the volume is multiplied by 64

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Circuit Training If sin0 =1 and 0 <0< π find 0.

valkas [14]

Answer:

$\theta = \frac{\pi}{2}$

Step-by-step explanation:

Given

$\sin(\theta) = 1$

$0 < \theta < \pi$

Required

Find $\theta$

$0 < \theta < \pi$ implies that $\theta$ is between 0 and 180 degrees

$\sin(\theta) = 1$

Take arcsin of both sides

$\theta = sin^{-1}(1)$

This gives:

$\theta = \frac{\pi}{2}$

Convert to degrees

$\theta = \frac{\pi}{2} * \frac{180}{\pi}$

$\theta = 90$

We have:

$0 < \theta < \pi$ or $0 < \theta < 180$

To get other values of $\theta$

We use:

$\sin(\theta) = \sin(180 - \theta)$

Substitute: $\theta = 90$

$\sin(90) = \sin(180 - 90)$

$\sin(90) = \sin(90)$

<em>This means that there are no other values of </em> $\theta$ <em> in the given range</em>

7 0

3 years ago

An elephant at the zoo lost 24 pounds over 6 months. The elephant lost the same amount of weight each month. Write and integer t

larisa86 [58]

Well i don't know about the integer but, the elephant looses 4 pounds amonth.

8 0

4 years ago

Approximate the value of 44 (Square root) to the nearest hundreth

Svetlanka [38]

I assume that calculators are not allowed, perhaps not even paper and pencil.

With paper and pencil, there is an algorithm to find the square-root of any number accurate to as many digits as we wish. Please post if that is the case.

Without calculator, pen and pencil, we resort to mental arithmetic. Someone with a little practice can memorize or calculate the square of all numbers up to 100, or as many as one can.

Here we can take advantage of exactly the property suggested by Xisca... that is, sqrt(44)=2sqrt(11), which reduces the calculation to more accuracy with a lesser knowledge of the squares of numbers.

As a first approximation, we know that 33*33=1089, or 3.3*3.3=10.89, which is already very close to 11.

Thus a first approximation to sqrt(44)=2sqrt(11)=2*3.3=6.6 (approximately).

To refine the calculation of sqrt(11), we use Newton's approximation, namely

a better approximation is given by 3.3 + (11 - 3.3^2) / (2*3.3) = 3.3+0.11/6.6 = 3.3+1/60

which gives

sqrt(44) = 2(3.3+1/60) = 6.6+1/30 = 6.6333,

actually accurate almost to the nearest 1/10000.

All of the above can be done mentally

For those who need help with rounding to the nearest hundredth (0.01), we drop digits AFTER the 2nd decimal, namely *.**33. If the first digit dropped is 5 or more, add one to the last digit retained, otherwise, retain only the two digits after the decimal. In this case, the first digit dropped is 3, so it will simply be dropped. The final answer is then 6.63, to the nearest hundredth.

5 0

3 years ago

Read 2 more answers

Please answer this! (from khan academy 6th grade math)

Sladkaya [172]

Answer:

(-5, -7) and the x-axis

Step-by-step explanation:

when looking for a point that is 7 points away, we are looking for a difference of 7 in either the x-value or the y-value.

[remember: a point is written as (x, y) ]

We know that the x-value is -7, meaning that it is 7 units under the x-axis (meaning that it is 7 units away)

We know that our point, (2 , -7) has the same y-value as (-5, -7), so we are looking for a change in x. The difference (which is the change) between:

-5 and 2 is 7

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

so, both the x-axis and the point (-5, -7) are 7 units away from (2, -7)

(the other point (-7, 7) is not near (2 , -7) at all--they have a larger difference on both the y-values, the x-values, and the length of if you made a diagonal line)

(I've attached an image to help you visualize what we're doing)

hope this helps!!

6 0

2 years ago

Find the percent of increase from 290 to 490

d1i1m1o1n [39]

~169%
THIS IS NOT AN EXACT ANSWER

I took 490/290 and got 1.689655172, multiplied that by 290 and got 489.999 repeating, so I rounded up to 1.69 which translates to 169 percent.

I hope this helps :)

8 0

3 years ago