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neonofarm [45]
2 years ago
11

Find the volume of a sphere if the surface area of the sphere is 64π cm²? Explain your

Mathematics
1 answer:
yarga [219]2 years ago
6 0

Answer:

the answer is 85.33π cm

Step-by-step explanation:

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Which statement is true of every plane in three-dimensional space?
leonid [27]

Answer:

option A is correct.(Every plane must have three intercepts.)

Step-by-step explanation:

" Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point). This is the informal meaning of the term dimension "

The intercept form of the equation of plane in 3-D is given by:

\dfrac{x}{l}+\dfrac{y}{m}+\dfrac{z}{n}=1

Where l,m,n are intercepts of x,y,z axes and a plane respectively.

Hence, we require all the three intercepts of a every plane.

Hence, option A is correct.

4 0
3 years ago
Read 2 more answers
Complete the ratio 6:30 = 1:? What goes where the question mark is?
Archy [21]
6 and 30 camd be simplified with 6
the result will be 1:5
so the question mark is 5
6 0
3 years ago
Read 2 more answers
X is greater than or equal to -5 and less than 0
Trava [24]

Answer:

-5 ≤ x < 0

Step-by-step explanation:

Step 1: Convert word signs to math

greater than or equal to: ≤ x

less than: x <

Step 2: Substitute in numbers

-5 ≤ x < 0

3 0
2 years ago
You have $5600. The best interest rate you can find is 3%
EleoNora [17]

Answer:

18 years

Step-by-step explanation:

The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

A = P(1 + \frac{r}{n})^{nt}

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03

We can rearrange the above equation to:

\frac{A}{P} = (1 + \frac{r}{n})^{nt}

Taking logs on both sides

log(\frac{A}{P}) = log(1 + \frac{r}{n})^{nt}

This gives

log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075

1 + r/n = 1+0.0075 = 1.0075

4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72

t = 72/4 = 18 years

4 0
2 years ago
you have a large tank filled with 175 gallons of water the tank springs a leak and water is pouring out at a rate of 5 gallons p
Len [333]
175/5= 35

The answer is 35 minutes.

Hope this helps!
3 0
3 years ago
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