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sladkih [1.3K]
3 years ago
12

Please answer quickly!!!!

Mathematics
1 answer:
Natalka [10]3 years ago
5 0
The volume of the rectangular prism can be found with the formula
v= length × width × height
V = 10×10×30 = 3000

the volume of the triangular prism can be found with
v = 1/2(base×width×height)
v=1/2×30×9×10 = 1/2×2700
v = 1350

Now add the two volumes together for the total volume...

3000+1350 = 4,350 in^3
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Solve this identifying holes, vertical asymptotes, and horizontal asymptotes for
USPshnik [31]

x^2+7x+12=x^2+4x+3x+12=x(x+4)+3(x+4)=(x+4)(x+3)\\\\-x^2-3x+4=-(x^2+3x-4)=-(x^2+4x-x-4)\\\\=-[x(x+4)-1(x+4)]=-(x+4)(x-1)\\\\f(x)=\dfrac{x^2+7x+12}{-x^2-3x+4}=\dfrac{(x+4)(x+3)}{-(x+4)(x-1)}\\\\\text{Vertical asymptotes:}\\\\(x+4)(x-1)=0\iff x+4=0\ \vee\ x-1=0\\\\\boxed{x=-4\ and\ x=1}\\\\\text{Horizontal asymptotes:}

\lim\limits_{x\to\pm\infty}\dfrac{x^2+7x+12}{-x^2-3x+4}=\lim\limits_{x\to\pm\infty}\dfrac{x^2\left(1+\dfrac{7}{x}+\dfrac{12}{x^2}\right)}{x^2\left(-1-\dfrac{3}{x}+\dfrac{4}{x^2}\right)}=\dfrac{1}{-1}=-1\\\\\boxed{y=-1}

6 0
3 years ago
A cube has a side length of 8 inches.
Kazeer [188]

The answers are 8^{3} and 8 · 8 · 8

Explanation:

The volume of a cube or space a cube occupies is calculated by multiplying the length, height, and width. Additionally, because in a cube all sides are equal in length, the formula for volume is V= s^{3}. According to this, if the side length is 8 inches the volume can be represented as V = 8^{3} or V= 8 · 8 · 8 because the symbol · represents multiplication. Also, this can be solved as V = 512 cubic inches. This makes the following options correct:  8^{3} and 8 · 8 · 8.

4 0
3 years ago
PLS HELP ME ASAP FOR 10 and 11! (MUST SHOW WORK FOR BOTH!!) + GIVING THANKS AND BRAINLIEST!!
rjkz [21]
10 the equation should be 3x + 6 = 63
subtract 6 from both sides to get 3x = 57
57 ÷ 3 = 19 inches


11
-1.5 * 4 = -6 degrees
an increase in 4 degrees us the answer
3 0
3 years ago
Read 2 more answers
Please help. I just need to get this done lol.
Mice21 [21]

Answer:

1/16

Step-by-step explanation:

6 0
3 years ago
Countering a cost $9.40 per sales tax. After sales tax, it cost $9.87. What is the sales tax rate?
Nady [450]
STEP 1:
find the sales tax (decimal form)

x= sales tax

Cost + (Cost * Sales Tax)= Total
plug in known numbers

$9.40 + ($9.40 * x)= $9.87

9.40 + 9.40x= 9.87
subtract 9.40 from both sides

9.40x= 0.47
divide both sides by 9.40

x= 0.47/9.40

x= 0.05 sales tax decimal form


STEP 2:
find sales tax percentage

= 0.05 * 100
or move decimal to the right two decimal places

= 5% sales tax percent form


ANSWER: The sales tax is 5% (or 0.05 in decimal form)

Hope this helps! :)
6 0
3 years ago
Read 2 more answers
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