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3 years ago

What is the surface area of the prism?

Mathematics

2 answers:

Nat2105 [25]3 years ago

7 0

The area of the prism is 420 in. You just have to add 144 + 90 + 90 + 48 + 48 which is equal to 420 in². You just had to add the sides

Hope it helps :)

Vedmedyk [2.9K]3 years ago

4 0

If you want to find the surface area of something and it doesn't have a formula, just look at the area of each side individually and add them up!

The area of a triangle is equal to bh/2 = 16*6/2 = 48 in²
The area of the other triangle would be the same = 48 in²
The lateral side that's 10 by 9 inches = 10 * 9 = 90 in²
The other lateral side that's 10 by 9 is also = 90 in²
The lateral side that's 16 by 9 inches = 16 * 9 = 144 in²

144 + 90 + 90 + 48 + 48 = 420 in²

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Ct+7m. If C=5,t=2, and m=2

34kurt

Answer:

Step-by-step explanation:

5(2) + 7(2) = 10+14 = 24

3 0

3 years ago

2 1.3.1 Study: Multiplying Binomials Drag the tiles to the blanks. Distribute. - 4(x - 2) =

ehidna [41]

Answer:

I am not entirely sure what you are asking here but if I am right then the answer is -4(x-2) = 8 - 4x

Step-by-step explanation:

Multiplying binomials all you have to do is distribute the 4

Multiply -4 by x to get: -4x

Muliply -4 by -2 to get: 8 (Because two negatives make a positive)

Now you have -4x + 8

Rewrite so it flows better and the answer is:

8 - 4x

6 0

2 years ago

How would you find the value of x is x equals five, in the equation...5x+29=45?

gavmur [86]

5x+29 = 45
5x = 16 (subtract 29 from both sides)
x = 16/5.

That is the answer, I don't know where you got the value of 5 but it doesn't make sense. To prove it, let's try put it into the equation:

5x5 + 29 =45
25 + 29 = 45
Wrong! 25 + 29 = 54.

4 0

3 years ago

Estimate sum 542+328=

Ghella [55]

542 --> 500

328 --> 300

Estimate: 800

8 0

3 years ago

Prove the divisibility of the following numbers:

Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

$75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}$

(B)

$72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}$

In this case, it is easier to also factor the divisor to primes:

$72^{63}=2^{189}\cdot 3^{126}$

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

$2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}$

6 0

3 years ago