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3 years ago

I don’t know how to find the surface area?

Mathematics

2 answers:

Lerok [7]3 years ago

8 0

Answer:

Step-by-step explanation:

its just writing teh answwer out and then solving

3241004551 [841]3 years ago

8 0

Answer:

The surface area of a prism is the sum of the areas of the 6 faces. That will be

the 2 squares and the other 4 rectangles.

S=2*(b*h)+4(B*H)

b and h are base and height of the squares and B and H of the Rectangles.

b=2

h=2

B=5

H=2

S=2*(2*2)+4(2*5)=8+40=48

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Andrej [43]

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3 years ago

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Which is the equation of a hyperbola with directrices at x = ±3 and foci at (4, 0) and (−4, 0)?

Alex Ar [27]

Answer:

$\frac{x^2}{12}-\frac{y^2}{4}=1$

Step-by-step explanation:

Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:

<u>Formula for hyperbola with horizontal transverse axis centered at origin</u>

<u /> $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$
Directrices -> $x=\pm\frac{a^2}{c}$
Foci -> $(\pm c,0)$ where $a^2+b^2=c^2$
$a>b$

Since we are given our directrices of $x=\pm3$ and foci of $(\pm4,0)$ , then we can set up the directrices equation to solve for $a^2$ :

$x=\pm\frac{a^2}{c}\\ \\\pm3=\pm\frac{a^2}{4}\\ \\12=a^2$

Now we can determine $b^2$ to complete our equation for the hyperbola:

$a^2+b^2=c^2\\\\12+b^2=4^2\\\\12+b^2=16\\\\b^2=4$

Therefore, our equation for our hyperbola is $\frac{x^2}{12}-\frac{y^2}{4}=1$

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2 years ago

What two numbers multiply to be 12 and add to be -11?

Rus_ich [418]

Answer:

-12 and 1

Step-by-step explanation:

If you multiply 12 by 1 you get 12, hence if you add -12 and 1 now you will get -11

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3 years ago

What is the answer to 132.55=5 (0.04m+21.70+0.10(21.70))

postnew [5]

132.55=5(.04m+2+.7+0.1(21.7))>>>m=66

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3 years ago

HELP

Oksi-84 [34.3K]

the answer is D :) i hope you have a good day

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