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natima [27]
2 years ago
12

Use formulas to find the lateral area and surface area of the prism.

Mathematics
1 answer:
TiliK225 [7]2 years ago
8 0

Step-by-step explanation:

Finding surface area

To find the surface area of a prism, use the formula SA=2B+ph, where SA stands for surface area, B stands for area of the base of the prism, p stands for the perimeter of the base, and h stands for the height of the prism. Since this is a triangular prism, substitute the area formula of a triangle for B.

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the ratio of sallys height is 7:8. if the sum of their heights is 90 inches. how tall are sally and jack?
pickupchik [31]

Answer:

Sally is 42 in. tall, and Jack is 48 in. tall.

Step-by-step explanation:

There are some words missing in the problem.

Perhaps the problem was meant to read:

"The ratio of Sally's height to Jack's height is 7:8. If the sum of their heights is 90 inches, how tall are Sally and Jack?"

Solution:

The ratio of the heights is 7:8.

Sally could measure 7 inches and Jack 8 inches, but then when you add the heights, 7 in. + 8 in. = 15 in. which is not 90 inches.

If you multiply both numbers in a ratio by the same number, the new numbers are still in the same ratio.

Multiply 7 and 8 by 2. You get 14 and 16. Maybe Sally is 14 in. tall and Jack is 16 in. tall. Add the heights, 14 in. + 16 in. = 30 in. This is also not 90 in.

We can keep on guessing what number to multiply by 7 and 8 by so their sum is 90, but we can use algebra to write an equation and not have to go through many guesses.

There is a number, x, that when you multiply 7 and 8 by x, the sum of the products is 90. We don't know what x is, but we can write an equation and solve for x.

The numbers in the ratio are 7x and 8x.

7x and 8x are still in the ratio 7:8.

Now we add the numbers 7x and 8x and set the sum equal to 90. Then we solve for x.

7x + 8x = 90

15x = 90

x = 6

We get x = 6. Now we know we need to multiply both 7 and 8 by 6 to get the heights we need.

7 in. * 6 = 42 in.

8 in. * 6 = 48 in.

Check: 42 in. + 48 in. = 90 in.

Answer: Sally is 42 in. tall, and Jack is 48 in. tall.

7 0
3 years ago
How can we get rid of i in the denominator?
Sloan [31]

Answer:

When you have an imaginary number in the denominator multiply the numerator and the denominator by the conjugate of the denominator.

8 0
3 years ago
Jeff provides photos for two online sites: site A and site B.
Setler [38]
$0.25 you just have to multiply .65 times 5 for site A which is $3.25 and for sure b just plug in 5 for x and multiply by .60 which gives you $3.00 so site A gives you $0.25 more
5 0
3 years ago
Read 2 more answers
PLEASE help it would mean the world to me it would help so much please and thank you
castortr0y [4]
Area = 18 = 1/2 x 6 x (h+1)
h=5
3 0
3 years ago
Describe the behavior of the graph at the x-intercepts for the function f(x)=(2x-7)^7(x+3)^4. Identify each x-intercept and just
Shkiper50 [21]

Answer:

f(x)=(2x-7)^7(x+3)^4

When y=0, (2x-7)^7=0 and x=3.5 OR

(x+3)^4=0, and x=-3

Look at x=h or f(2)

That is 96-56-44+2 and it is not equal to 0. (x-2) is not a factor.

x^3-5x^2+6x-30

after trying 1,2, and 3, I tried 5

5/1===-5===6===-30

==1===0====6====30

(x^2-6) with no remainder

the factors are (x-5)(x^2+6)

the zeroes are 5, +/- i sqrt (6). Only one real 0.

hope this helps let me know in the comments if i'm wrong

7 0
3 years ago
Read 2 more answers
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