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3 years ago

3 m 15 m 6 m Not diom to scale. Find the volume of the triangular prism.

Mathematics

2 answers:

7nadin3 [17]3 years ago

8 0

3m 15 m 6 m not dion to scale and find voulume I’d the triangular 4. 90 m3

lora16 [44]3 years ago

4 0

Answer:

69m^3

Step-by-step explanation:

5x3=15 divided by 2=7.5+7.5=15

3x6=18

18x3=54

54+15=69m^3

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A. Adjacent angles <br> B. Complementary angles <br> C. Supplementary angles <br> D. Vertical angles

DaniilM [7]

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4 0

3 years ago

What is the value of the ratio of the surface area to the volume of the cylinder? 0.38 2.66 0.94 0.7

yKpoI14uk [10]

Answer:

the correct answer is 0.38, I used the other persons answer and got it wrong.

Step-by-step explanation:

3 0

4 years ago

Five cards are dealt from a standard 52-card deck. (a) What is the probability that we draw 1 ace, 1 two, 1 three, 1 four, and 1

Rudik [331]

Answer:

Step-by-step explanation:

As there are total 52 cards in a deck and we have to draw a set of 5 cards, we can use the formula of combination to find the total number of possible ways of drawing 5 cards.

Number of ways to draw 5 cards = $N_T$

$N_T\;=\;({}^NC_k)\\\\N_T\;=\;({}^{52}C_5)\\\\N_T\;=\;2,598,960$

(a) Assuming the cards are drawn in order (would not affect the probability). The of getting Ace, 2, 3, 4 and 5 can be obtained by multiplying the probability of getting cards below 6 (20/52) with the probability of getting 5 different cards (4 choices for each card).

$P(a)\;=\;\frac{20}{52}*\frac{4}{52}*\frac{4}{51}*\frac{4}{50}*\frac{4}{49}*\frac{4}{48}\\\\P(a)\;=\; 1.3133*10^{-6}$

(b) For a straight we require our set to be in a sequence. The choices for lowest value card to produce a sequence are ace, 2, 3, 4, 5, 6, 7, 8, 9, or 10. Hence, the number of ways are $({}^{10}C_1)$ .

For each card we can draw from any of the 4 sets. It can be described mathematically as: $({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)\;=\;[({}^{4}C_1)^5]$

Therefore, the total outcomes for drawing straight are:

$N_S\;=\;({}^{4}C_1)*({}^{4}C_1)^5\;=\;10240$

Thus, the probability of getting a straight hand is:

$P(b)\;=\;\frac{N_S}{N_T}\\\\P(b)\;=\;\frac{10240}{2598960}\\\\P(b)\;=\; 0.0039$

6 0

3 years ago

How can I factorise (2x cubed - 5x + 3) ?

PilotLPTM [1.2K]

$2x^3-5x+3=2x^3-2x-3x+3\\\\=2x(x^2-1)-3(x-1)\\\\=2x\underbrace{(x^2-1^2)}_{use\ (*)}-3(x-1)\ \ \ |(*)\ a^2-b^2=(a-b)(a+b)\\\\=2x\underbrace{(x-1)}_{(**)}(x+1)-3\underbrace{(x-1)}_{(**)}\\\\=(x-1)[2x(x+1)-3]\\\\=(x-1)\underbrace{(2x^2+2x-3)}_{(***)}\\\\(***)\ 2x^2+2x-3\to a=2;\ b=2;\ c=-3\\\\x=\frac{b^2\pm\sqrt{b^2-4ac}}{2a}$

$therefore\\x=\frac{-2\pm\sqrt{2^2-4(2)(-3)}}{2(2)}=\frac{-2\pm\sqrt{4+24}}{4}=\frac{-2\pm\sqrt{28}}{4}=\frac{-2\pm\sqrt{4\cdot7}}{4}=\frac{-2\pm2\sqrt7}{4}\\\\=\frac{-1\pm\sqrt7}{2}\\\\so,\ the\ answer:\\\\(x-1)\cdot2\left(x-\frac{-1-\sqrt7}{2}\right)\left(x-\frac{-1+\sqrt7}{2}\right)\\\\=\boxed{(x-1)(2x+1+\sqrt7)\left(x+\frac{1-\sqrt7}{2}\right)}=\boxed{\frac{1}{2}(x-1)(2x+1+\sqrt7)(2x+1-\sqrt7)}$

7 0

3 years ago

Read 2 more answers

Which of the following is the graph of:<br>(x-3)^2+(y+1)^2=9?

Marianna [84]

<h3>Answer: Choice A</h3>

center = (3, -1)

radius = 3

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Explanation:

Rewrite the y+1 as y-(-1). Rewrite the 9 as 3^2

Then compare to the general form (x-h)^2+(y-k)^2 = r^2

You should find that h = 3, k = -1 and r = 3.

The center is (h, k) = (3,-1) and the radius is r = 3.

Choice A matches with that description.

8 0

3 years ago