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2 years ago

What is the volume of the right rectangular prism?

Mathematics

2 answers:

Readme [11.4K]2 years ago

7 0

The answer is 240cm^3

kenny6666 [7]2 years ago

4 0

Answer:

240

Step-by-step explanation:

V=width height length = 10 · 3 · 8 = 240

Hope this helped, have a wonderful day man!

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To draw a line segment perpendicular to XY passing through point x

Andrew [12]

What does perpendicular mean? Well, in elementary geometry it mean 2 lines that intersect at a right angle. (90°).

So for Part one. all you need to do is draw a straight line down from the point X. Name the end point of that line M.

Now you will connect the line M and Z.

Thats it! I hope this helped!! :)

3 0

2 years ago

Read 2 more answers

A diver begins at 140 feet below sea level. She descends at a steady rate of 7 feet per minute for 4.5 minutes. Then, she ascend

PSYCHO15rus [73]

3576 rheuioryu terotueiopltuils;j fjidsa;l foiurw0qps buqoeupw7 0 [auuq3809pb r4

8 0

2 years ago

Gonzalez Manufacturing borrowed $. Part of the money was borrowed at %, part at %, and part at %. The annual interest was $

Pavel [41]

Answer:

The answer is "rate 12%, 14%, 16% and value 4000, 10000, and 7000".

Step-by-step explanation:

Let the value is x, y, and z. so,

The value of x amount will be borrowed at 12% $= \frac{12}{100} \times x= 0.12x$

The value of y amount will be borrowed at 14% $= \frac{14}{100} \times x= 0.14x$

The value of z amount will be borrowed at 16% $= \frac{16}{100} \times x= 0.16x$

If the total amount= 21000

$\to x+y+z=21000$

If the total interest= 3000

calculating the total interest:

$\to 0.12x +0.14y +0.16z = 3000$

The overall amount borrowing at 12% and 14% was half as much as the amount borrowed at 16%.

$\to x + y = 2z\\\\\to x + y - 2z = 0$

by calculating the value we have 3 equations that are:

$\to x+y+z=21000\\\\\to 0.12.x +0.14.y +0.16z = 3000\\\\\to x + y - 2z= 0\\$

calculate the matrix by above-given value:

$\left[\begin{array}{ccc}1&1&1\\0.12&0.14&0.16\\1&1&-2\end{array}\right]$ $\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}21000&3000&0\\ \end{array}\right]$

by solving the above matrix we get:

$\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}4000&10000&7000\\ \end{array}\right]$

$\to \$ 4000 \text{ lent at} 12 \% \\\to \$ 10000 \text{ lent at} 14 \% \\\to \$ 7000 \text{ lent at} 16\%\\\\$

6 0

2 years ago

In a state lottery game you select six numbers from 1 to 44. the state selects six numbers at random from 1 to 44 without replac

LiRa [457]

We need to correctly choose exactly 4 out of the 6 drawn numbers.

Apply hypergeometric distribution:
a=number of correctly chosen numbers = 4
A=number of correct (drawn) numbers = 6
b=number of incorrectly chosen numbers = 2
B=number of undrawn numbers = 44-6 = 38

Then by the hypergeometric distribution
P(a,b,A,B)
=C(A,a)C(B,b)/C(A+B,a+b) [C(n,r)=combination of r objects taken out of n]
=C(6,4)C(38,2)/C(44,6)
=15*703/7059052
= 10545/7059052
= 0.001494 (to the nearest millionth)
Answer: probability of winning third prize is 10545/7059052=0.001494

6 0

2 years ago

I really need help, I’m having a quiz tomorrow yet I struggle to understand the concept of this stuff...

uranmaximum [27]

Here it goes:

a. Because you have four blue marbles out of the 12 total marbles, the probability is 4/12. YOU MUST SIMPLIFY down to 1/3.

b. There are 12 marbles in the bag right now, and the probability is 4/12, you must add some marbles. 1/10 multiplied by 4 is 4/40. There are 4 blue marbles right now, and 40 minus the 12 there are right now is 38, so you would need to add 38 non-blue marbles.

3 0

2 years ago