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Angelina_Jolie [31]
3 years ago
5

The oblique pyramid has a square base with an edge length of 5 cm. The height of the pyramid is 7 cm. What is the volume of the

pyramid?
11 cm3
43 cm3
58 cm3
87 cm3
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
7 0
The answer is <span>58 cm3
</span>
The volume of the pyramid with square base is:
V = s² * h / 3
s - the edge length, s = 5 cm
h - height, h = 7 cm

V = 5² * 7 / 3
V = 25 * 7 / 3
V = 58 cm³
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How many solutions does the equation x_1 +x_2+x_3+x_4+x_5=21 have where x_1, x_2, x_3, x_4, and x_5 are nonnegative integers and
omeli [17]

Step-by-step explanation:

x_{1} + x_{2} + x_{3} + x_{4} + x_{5} = 21\\     (given)

Let us consider :

x_{1} = t_{1} + 1

x_{2} = t_{2}

x_{3} = t_{3}

x_{4}  = t_{4}

x_{5} = t_{5}

Now, by substituting the above considerations in the above equation, we get:

t_{1} + 1 + t_{2} + t_{3} + t_{4} + t_{5} = 21\\

t_{1}  + t_{2} + t_{3} + t_{4} + t_{5} = 20\\

where,

t_{i} \geq 1

then it follows

n = 20

r = 4

then no. of solutions for the eqn = _{r}^{n + r}\textrm{C}

                                                      = _{4}^{24}\textrm{C}

                                                      = 10626

Answer :

no. of solutions for the eqn 10626

4 0
3 years ago
Which is the solution of the equation a + 2 = 10?
Alexandra [31]

Hey there!

a + 2 = 10

SUBTRACT 2 to BOTH SIDES

a + 2 - 2 = 10 - 2

CANCEL out: 2 - 2 because that gives you 0

KEEP: 10 - 2 because that helps solve for the a-value

10 - 2 = a

10 - 2 = 8

Answer: Option C. a = 8

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

8 0
3 years ago
Read 2 more answers
The product of two consecutive positive integers is 56. Find the two integers
vredina [299]

Answer:

Two consecutive integers are of the form

x and x + 1

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x(x + 1) = 56

Solve and find the two numbers x and x + 1. The above equation may be written as follows

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Factor and solve

(x - 7)(x + 8) = 0

solutions: x = 7 , x = -8

x= - 8 is not valid since the number sought must be positive. Hence

x = 7 and x + 1 = 8 are the two consecutive numbers.

Step-by-step explanation:

7 0
2 years ago
Seven times a number minus the number is -48.
DENIUS [597]
Same as the other one :) if u thought my answers were helpful to you please mark me as brainliest :)

5 0
3 years ago
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The average discharge at the mouth of the Amazon River is 4,900,000 cubic feet per second. How much water is discharged from the
Misha Larkins [42]

Answer:  Average discharge at the mouth of the Amazon River in 1 hour = 1.764\times 10^{10} cubic feet

Average discharge at the mouth of the Amazon River in 1 year= 3.66912\times10^{13} cubic feet[/tex]

Step-by-step explanation:

Given : The average discharge at the mouth of the Amazon River =4,900,000 cubic feet per second.

i.e. The average discharge at the mouth of the Amazon River  in 1 second= 4,900,000 cubic feet

Since 1 hour = 3600 seconds

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Since , there are 2080 hours in a typical year.

Then, the average discharge at the mouth of the Amazon River in 1 year=

2080\times17640000000\\\\=36,691,200,000,000=3.66912\times10^{13} cubic feet

6 0
2 years ago
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