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3 years ago

How to find the missing dimensions of a prism

Mathematics

1 answer:

Kamila [148]3 years ago

6 0

Answer:

Below.

Step-by-step explanation:

You need to know the volume or total surface area of the prism and 2 of the dimensions.

The formula for the volume = wlh where w = width , l = length and h = height.

So knowing say w = 4, l = 8 and V = 192 we have:

V = wlh

192 = 4 * 8 * h

h = 192/4*8

= 192/32

= 6.

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You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the

kondaur [170]

Answer:

$\frac{4}{52} \times \frac{4}{51} = \frac{16}{2652} = 0.00603 = 0.603\%$

Step-by-step explanation:

There are 52 cards in a standard deck, and there are 4 suits for each card. Therefore there are 4 twos and 4 tens.

At first we have 52 cards to choose from, and we need to get 1 of the 4 twos, therefore the probability is just

$\frac{4}{52}$

After we've chosen a two, we need to choose one of the 4 tens. But remember that we're now choosing out of a deck of just 51 cards, since one card was removed. Therefore the probability is

$\frac{4}{51}$

Now to get the total probability we need to multiply the two probabilities together

$\frac{4}{52} \times \frac{4}{51} = \frac{16}{2652} = 0.00603 = 0.603\%$

5 0

4 years ago

(a) Complete the table of values for y = 6 - 4x. Please help ❤️

shutvik [7]

Answer:

$\boxed{\begin{tabular}{|c|c|c|c|c|c|}\cline{1-6} \bf x & -1 & 0&1&2&3\\\cline{1-6} \bf y & 10& 6& 2&(-2)&-6 \\\cline{1-6}\end{tabular}}$

Step-by-step explanation:

Given equation to us is :-

$\implies y = 6 - 4x$

So , here we can put different values of x in order to get different values of y .

Initial table given to us is ,

$\begin{tabular}{|c|c|c|c|c|c|}\cline{1-6} \bf x & -1 & 0&1&2&3\\\cline{1-6} \bf y & & & 2&&-6 \\\cline{1-6}\end{tabular}$

Put x = (-1) :-

$\implies y = 6 - 4x \\\\\implies y = 6 -4(-1) \\\\\implies y = 6 + 4 \\\\\red{\bf\implies y = 10}$

Put x = 0 :-

$\implies y = 6 - 4x \\\\\implies y = 6-4(0) \\\\\implies y = 6 - 0 \\\\\pink{\bf\implies y = 6 }$

Put x = 2 :-

$\implies y = 6-4x \\\\\implies y = 6 - 4(2) \\\\\implies y = 6 - 8 \\\\\blue{\bf\implies y = (-2)}$

Hence the final table would be :- 

$\begin{tabular}{|c|c|c|c|c|c|}\cline{1-6} \bf x & -1 & 0&1&2&3\\\cline{1-6} \bf y & 10& 6& 2&(-2)&-6 \\\cline{1-6}\end{tabular}$

4 0

3 years ago

Identify the solution of the system of equation 2x+4=0 Y=5-3x

nexus9112 [7]

$2x+4=0\\
y=5-3x\\\\
2x=-4\\
y=5-3x\\\\
x=-2\\
y=5-3x\\\\
y=5-3\cdot(-2)\\
y=5+6\\
y=11\\\\
x=-2,y=11$

5 0

3 years ago

Read 2 more answers

2+8+5+9+90= 3+45+111=

Anastasy [175]

Answer:

1) 114

2) 159

Step-by-step explanation:

2+8+5+9+90 = 114

3+45+111 = 159

Hope this helps.

8 0

4 years ago

Evaluate the expression????? 1-2x+3y for x=-2 and y=-5

andreev551 [17]

Answer:

-10

Step-by-step explanation:

1 - 2(-2) + 3(-5)

Multiply -2 times -2 which should give you a positive 4. Then, multiply 3 times negative 5 which should give you -15. And 1 + 4 - 15 = -10

3 0

4 years ago

Read 2 more answers