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3 years ago

Surface Area Rectangular Prism

Mathematics

2 answers:

creativ13 [48]3 years ago

7 0

Answer:

Step-by-step explanation:

Goshia [24]3 years ago

6 0

Surface area = 2(6*3) + 2(6*2) + 2*(2*3) = 36+24+12 = 72 cm^2

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Solve 3x + 7 = 3(x - 2)

Burka [1]

$3x + 7 = 3(x - 2)\\\\3x+7=3x-6\\\\7=-6\\\\x\in\emptyset$

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3 years ago

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What is the slope-intercept equation of the line below?

Sedbober [7]

Answer:

$Consider points (3,5) and (2,-5) from the graph \\ slope = \frac{( - 5 - 5)}{(2 - 3)} \\ m = 10 \\ in \: relation \: of \: (3,5) \: with \: y = mx + c \\ 5 = (10)(3) + c \\ 5 = 30 + c \\ c = - 25 \\ y = 10x - 25 \\ \frac{y}{5} = 2x - 5$

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3 years ago

What is the sum of the geometric series

lbvjy [14]

If $S$ denotes the sum of the first $n$ terms of a geometric series with first term $a$ and common ratio $r$ , then

$S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}$
$rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n$
$\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n$
$\implies (1-r)S=a(1-r^n)$
$\implies S=a=\dfrac{1-r^n}{1-r}$

Using summation notation, you have

$S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}$

In this case, you have $a=2$ , $r=\dfrac12$ , and $n=16$ . So the value of the sum is

$\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67$

Rounded to the nearest whole number, the answer would be 3.

4 0

4 years ago

Read 2 more answers

Need answers ASAP

andrew-mc [135]

Data:
r (radius) = 14 m
h (height) = 6 m
v (volume) = ?

Formula:
$V = \pi *r^2*h$

Solving:
$V = \pi *r^2*h$
$V = \pi *14^2*6$
$V = \pi *196*6$
$\boxed{\boxed{V = 1176 \pi\:m^3}}\end{array}}\qquad\quad\checkmark$

4 0

4 years ago

What is 5.46÷ 0.25 (show ur work long divison)

Licemer1 [7]

5.46/0.25= 21.84 hope it helps

3 0

2 years ago