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love history [14]
3 years ago
6

PLEASE HELP TY show all work

Mathematics
1 answer:
aksik [14]3 years ago
5 0

Answer:

36 cm

Step-by-step explanation:

V= \frac{4}{3} \pi r^{3}

3V= 4\pi r^{3}

r^{3}=\frac{3V}{4\pi }

r= 3\sqrt{\frac{3V}{4\pi } }

r=3\sqrt{\frac{3* 24429 cm^{3} }{4\pi } }

r=18 cm

diameter= d= 2r

d= 2(18cm)= 36 cm

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What's the prime factorization of 105
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Solve for x.<br><br> 5x + 3 = 2(x + 3) + 3x – 6
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9514 1404 393

Answer:

  no solution

Step-by-step explanation:

We can eliminate parentheses and collect terms.

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2 years ago
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A circle is centered at the point (-7, -1) and passes through the point (8, 7).
Sergeu [11.5K]

we know the circle's center is at -7, -1, and we know the circle itself passes through 8,7, the distance from the center to a point on it is by definition its radius, therefore

\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\\stackrel{center}{(\stackrel{x_1}{-7}~,~\stackrel{y_1}{-1})}\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}\\\\\\\stackrel{radius}{r}=\sqrt{[8-(-7)]^2+[7-(-1)]^2}\implies r=\sqrt{(8+7)^2+(7+1)^2}\\\\\\r=\sqrt{15^2+8^2}\implies  r=\sqrt{225+64}\implies \boxed{r=17}

and since we know that x = -15 for such a point, then

\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2\qquad center~~(\stackrel{-7}{ h},\stackrel{-1}{ k})\qquad \qquad radius=\stackrel{17}{ r}\\\\\\\[x-(-7)]^2+[y-(-1)]^2=17^2\implies (x+7)^2+(y+1)^2=289\\\\\\\stackrel{\textit{since we know x = -15}}{(-15+7)^2+(y+1)^2=289}\implies (-8)^2+\stackrel{FOIL}{(y^2+2y+1^2)}=289\\\\\\64+y^2+2y+1=289\implies y^2+2y=224\implies y^2+2y-224=0\\\\\\(y+16)(y-14)=0\implies y=\begin{cases}-16\\14\end{cases}

since it's a circle, it touches x = -15 twice, check the picture below.

6 0
2 years ago
1 point
Setler [38]

Answer:

0.03

Step-by-step explanation:

Given data

Probability that it will rain on Sunday= 0.7

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Firstly we need to solve for the probability that it will rain on Tuesday

Sample space S = number of week days = 7

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Hence the probability that it rains on BOTH Monday and Tuesday= 0.2*0.14= 0.028

Rounding up the nearest hundredths = 0.03

3 0
3 years ago
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