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earnstyle [38]
3 years ago
7

A right rectangular prism is made up of 8 cubes. Each cube has an edge of length of 1/2 inch. What is the volume of this prism?

Mathematics
1 answer:
professor190 [17]3 years ago
8 0
Bearing in mind that a cube, is just a rectangular prism with all equal sides,
thus, check the picture below

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Quadrilateral ABCD has the following
a_sh-v [17]

Answer:

No because the angle of point C is NOT congruent to the angle of point A.

Step-by-step explanation:

A quadrilateral MUST be a parallelogram if it has both pairs of its opposite angles congruent.

4 0
3 years ago
$10,000 at an annual rate of 7%, compounded semi-annually, for 2 years
forsale [732]

Answer:

\$13,107.96

Step-by-step explanation:

Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.

Therefore, we can set up the following equation to find the new balance after 2 years:

\text{New balanace}=10,000\text{ (old balance)}\cdot 1.07\cdot 1.07\cdot 1.07\cdot 1.07,\\\text{New balanace}=10,000\cdot 1.07^4=\boxed{\$13,107.96}

8 0
2 years ago
Determine the parent function
GalinKa [24]
A parent function is the simplest function of a family of functions that preserves the definition (or shape) of the entire family.
4 0
2 years ago
A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through
ExtremeBDS [4]

Answer:

C) S = {F, PF, PPF, PPP}

Step-by-step explanation:

For this case, we know that a person is trying to gain access to a bank vault and needs to go through 3 security doors, and we know that if the person does not pass a door, then he/she has no other attempts. We denote P= Successful pass , F= Failed pass

And we are interested on the sample space, we need to remember that the sample is the set with all the possible values for an experiment.

For this case the person can fail at the 1,2 or 3 try

For the case that fails at the 1 try we have F

For the case that fails at the 2 try we have PF

For the case that fails at the 3 try we have PPF

And the last option is that the person not fails at any try and we have PPP

So then the sample space would be given by:

C) S = {F, PF, PPF, PPP}

6 0
3 years ago
What is the length of the unknown side?
pogonyaev

Answer:

10

Step-by-step explanation:

pythagorean theorem

8^2+6^2=c^2

64+36=c^2

100=c^2

square root both sides

10 = c

3 0
3 years ago
Read 2 more answers
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