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3 years ago

What is the surface area of the triangular prism? A. 13 in.2 B. 36 in.2 C. 78 in.2 D. 84 in.2

Mathematics

1 answer:

NISA [10]3 years ago

4 0

Answer :36in2

example:
my math teacher told me

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Elaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 in wide 12 in long and 5 cm deep. ( 1 g

padilas [110]

Answer:

b. The paint will not fill the tray by 5.22 in3.

Step-by-step explanation:

The computation is shown below:

First we have to determine the volume of tray by using the following equation

$V = L \times W \times H$

Now transform this from dimensions to inches

Now putting the values,

$V = 10\times12\times (5\times(\frac{1}{2.54})) \\\\As\ 5 cm = 5 \times (\frac{1}{2.54})$

the volume would be equivalent to the

236.22 inches^3

Now 1 gallon is 231 inches^3

So, the remaining would be

= 236.22 - 231

= 5.22^3

Therefore the correct option is b.

Hence, all the other options are wrong

7 0

3 years ago

Question 31 pts Prove the statement is true using mathematical induction: 2n-1 ≤ n! Use the space below to write your answer. To

Sladkaya [172]

Answer:

P(3) is true since 2(3) - 1 = 5 < 3! = 6.

Step-by-step explanation:

Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3

Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.

Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:

2(k+1) - 1 = 2k + 2 - 1

≤ 2 + k! (by the inductive hypothesis)

= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.

4 0

3 years ago

Im so confused pls help

timama [110]

Answer:

a = 49°

Explanation:

You use the rule ‘exterior angle of a triangle’ which states that the exterior angle is equal to the sum of the two opposite interior angles.

To put it mathematically:

a + a = a + 49° (Ext angles of triangle)
a = a - a + 49°
a = 49°

5 0

3 years ago

Three sisters want to.Buy a pda for their fauther for fauthers day. The least expensive pda in the sorr isn$360. Writenand slove

zzz [600]

Answer:

$120

Step-by-step explanation:

I would like to rewrite your question for others easy to understand:

<em>"Three sisters want to Buy a pda for their father for fathers' day. The least expensive pda in the store is $360. Writen and slove an inequality to fund the least amout of money each girl would have ti contrubute if each contribute an equal amount" </em>

<em />

Let X is the the amount one girl contribute, we have 3 girls => 3X

The least expensive pda in the store is $360, so the total contributed amount must be equal or smaller than the pda cost

<=> 3X $\leq 360$