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3 years ago

89.7=

}{100-x}" align="absmiddle" class="latex-formula">
Solve for x

Mathematics

1 answer:

nevsk [136]3 years ago

3 0

Answer:i was really trynna answer this when im in 7th grade ;-;

Step-by-step explanation: i dont even know why i tried bothering

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Jacklynn wondered how much of the moon covers if half of the moon is shaded. She learned in Science Class that the moon has radi

Lesechka [4]

Answer:

6.3 × 10⁶ square miles

Step-by-step explanation:

We are given,

The radius of the moon is approximately 1000 miles.

We know that the moon resembles a sphere and also,

Area of sphere = $4\pi r^{2}$ , where r is the radius.

Now, the area of the moon = $4\pi 1000^{2}$ = 1.26 × 10⁷ square miles

Since, only the half of the area is clear to view.

So, the area left to view = $\frac{1.26\times 10^7}{2}$ = 6.3 × 10⁶ square miles.

Hence, the area of the moon in view is 6.3 × 10⁶ square miles.

8 0

4 years ago

The radius of a right circular cone is increasing at a rate of 1.9 in/s while its height is decreasing at a rate of 2.2 in/s. At

musickatia [10]

Answer:

Volume of the cone is increasing at the rate $9916\pi \frac{in^3}{s}$ .

Step-by-step explanation:

Given: The radius of a right circular cone is increasing at a rate of $1.9$ in/s while its height is decreasing at a rate of $2.2$ in/s.

To find: The rate at which volume of the cone changing when the radius is $134$ in. and the height is $136$ in.

Solution:

We have,

$\frac{dr}{dt} =1.9 \:\text{in/s}$ , $\frac{dh}{dt}=-2.2\:\text{in/s}$ , $r=134 \:\text{in}$ , $h=136\:\text{in}$

Now, let $V$ be the volume of the cone.

So, $V=\frac{1}{3}\pi r^{2}h$

Differentiate with respect to $t$ .

$\frac{dv}{dt} =\frac{1}{3}\pi \left [ r^2\frac{dh}{dt}+h\left ( 2r \right )\frac{dr}{dt} \right ]$

Now, on substituting the values, we get

$\frac{dv}{dt} =\frac{1}{3}\pi\left [ \left ( 134 \right )^2\left ( -2.2 \right )+\left ( 136\right )\left ( 2 \right )\left ( 134 \right )\left ( 1.9 \right ) \right ]$

$\frac{dv}{dt} =\frac{1}{3}\pi\left [ -39503.2+69251.2 \right ]$

$\frac{dv}{dt} =\frac{1}{3}\pi\left [ 29748 \right ]$

$\frac{dv}{dt} =9916\pi \frac{in^3}{s}$

Hence, the volume of the cone is increasing at the rate $9916\pi \frac{in^3}{s}$ .

6 0

3 years ago

the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence

maxonik [38]

Answer:

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, called common difference, and the nth term is given by:

$a_{n} = a_0 + (n-1)d$

In which d is the common difference.

Sum of the first n terms:

The sum of the first n terms of an arithmetic sequence is given by:

$S_{n} = \frac{n(a_1+a_n)}{2}$

ai = ai-1 + 6

This means that $d = 6$

In this question:

Sum of the first 800 terms, so $n = 800$

First term is -53, so $a_1 = -53$

The 880th term is:

$a_{880} = -53 + (880-1)*6 = 5221$

Sum

$S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920$

The sum of the first 880 terms in the sequence is 2,273,920.

4 0

3 years ago

Pls help asap also sorry for the blurry mess…

bixtya [17]

Answer:

so 320 employees and 40% chose pink! 40% of 320 is 128!

3 0

3 years ago

Thirty-three students went out for junior high football. How many ways can the coach create a lineup of 11 players?

WITCHER [35]

Only 3 ways because 33 divided by 11 is 3.

7 0

4 years ago

Read 2 more answers