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Alexxandr [17]
3 years ago
13

A replica of a monument has the dimensions shown.

Mathematics
2 answers:
Andre45 [30]3 years ago
5 0

Answer:

The volume of the pyramid is 9 in3.

The volume of the prism is  85.5 in3.

The volume of the monument replica is

94.5 cubic inches.

Step-by-step explanation:

It's the answer on edge, and I got it right

ra1l [238]3 years ago
5 0

The volume of the pyramid is 9 in3.

The volume of the prism is  85.5 in3.

The volume of the monument replica is

94.5 cubic inches.

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ArbitrLikvidat [17]
What’s the the math problem? I don’t see it..
3 0
3 years ago
Read 2 more answers
15. For each of the following, write the probability as the intersection of two events. Then, indicate whether the two events ar
LuckyWell [14K]

Answer:

Step-by-step explanation:

a. The probability of selecting a 6 from the first draw and a 7 on the second draw when two balls are selected without replacement from a container with 10 balls numbered 1 to 10

Not independent because without replacement

Prob for both = \frac{1}{10} \frac{1}{9} \\=\frac{1}{90}

b. The probability of selecting a 6 on the first draw and a 7 on the second draw when two balls are selected with replacement from a container with 10 balls numbered 1 to 10

Here independent because with replacement makes probability independent.

Prob for both = P(A) *P(B) = \frac{1}{10} *\frac{1}{10} \\=\frac{1}{100}d

c. The probability that two people selected at random in a shopping mall on a very busy Saturday both have a birthday in the month of June. Assume that all 365 birthdays are equally

likely, and ignore the possibility of a February 29 leap-year birthday.

Here independent because one person birthday will not affect the other person birthday

Prob for both = (\frac{30}{365})^2\\ =\frac{25}{5329}

d. The probability that two socks selected at random from a drawer containing 10 black socks and 6 white socks will both be black

Prob for I sock black = 10/16 and II sock black if first sock is black = 9/15

Hence not independent

Prob for both = \frac{10C2}{16C2} \\=\frac{3}{8}

 

 

5 0
4 years ago
Jenny had $17 more than susan, and together they had enough money to buy a game for $93 and to have a pizza for $6. how much mon
Rasek [7]
The total amount of money that Jenny and Susan spent is the sum of the money spent for the games and pizza. That is,
                T = $93 + $6 = $99

We let x be the amount that Susan has. With this representation, the amount of money that Jenny has is x + 17. The equation that would represent this situation is,
                     x + 17 + x = 99
The value of x from the equation is 42.

ANSWER: $42. 
             
5 0
4 years ago
1. If AABC SADEF, DE=17, EF =13, DF =9, and BC = 2x-5, then which of the following is the correct
bulgar [2K]

Answer:

x=9

Step-by-step explanation:

<u><em>The correct question is</em></u>

If Triangle ABC is congruent with triangle DEF, DE=17, EF =13, DF =9, and BC = 2x-5, then which of the following is the correct  value of x?

we know that

If two triangles are congruent, then their corresponding sides and their corresponding angles, are congruent

In this problem

The corresponding sides are

AB and DE

AC and DF

BC and EF

The corresponding angles are

∠A and ∠D

∠B and ∠E

∠C and ∠F

so

AB≅DE

AC≅DF

BC≅EF

and

∠A≅∠D

∠B≅∠E

∠C≅∠F

<em>Find the value of x</em>

BC≅EF

substitute the given values

2x-5=13

Solve for x

2x=13+5

2x=18

x=9

4 0
4 years ago
How many solutions does this system of equations have?
Phoenix [80]
<h3>Answer: D) infinitely many solutions</h3>

===================================================

Explanation:

Let's solve the first equation for y

4x - 2y = 6

4x-6 = 2y

2y = 4x-6

y = (4x-6)/2

y = (4x/2) - (6/2)

y = 2x - 3

After doing so, we see that 4x-2y = 6 is equivalent to y = 2x-3

Therefore, the original system of equations is effectively listing the same equation twice (one has a different form compared to the other).

Both equations in this system produce the same graph, which leads to infinitely many solutions. All solutions are on the line y = 2x-3.

You can say that all solutions are in the form (x, 2x-3) where x is any real number you want.

-------------------------------

Here's another approach using substitution

4x - 2y = 6 ... start with the first equation

4x - 2( y ) = 6

4x - 2( 2x-3 ) = 6 .... replace y with 2x-3; ie plug in y = 2x-3

4x - 2(2x) - 2(-3) = 6

4x - 4x + 6 = 6

0x + 6 = 6

0 + 6 = 6

6 = 6

We get a true statement. The last equation is always true regardless of what we plug in for x, so this is another way to see how we get to infinitely many solutions.

Side note: the system is considered dependent since one equation depends on the other. The system is also consistent since it has at least one solution.

8 0
3 years ago
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