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geniusboy [140]
3 years ago
6

What is the volume of the square pyramid? Round to the nearest tenth.

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
4 0

Answer:

V=718.7\ cm^{3}

Step-by-step explanation:

we know that

The volume of the square pyramid is equal to

V=\frac{1}{3}b^{2}h

we have

b=14\ cm ----> the length of the base of the square pyramid

h=11\ cm ---> the height of the pyramid

substitute the values in the formula

V=\frac{1}{3}(14)^{2}(11)

V=718.7\ cm^{3}

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Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
lubasha [3.4K]

Answer:

The answer is option C.

<h3>-6, -5 2/5, -4 1/5</h3>

Step-by-step explanation:

The arithmetic sequence is given by

A(n) =  - 6 + (n - 1)( \frac{1}{5} )

where n is the number of terms

<u>For</u><u> </u><u>the</u><u> first</u><u> </u><u>term</u>

n = 1

So we have

A(1) =  - 6 + (1 - 1)( \frac{1}{5} )

=  - 6 + (0)( \frac{1}{5} )

=  - 6

<u>For</u><u> </u><u>the</u><u> </u><u>fou</u><u>rth</u><u> term</u>

n = 4

A(4) =  - 6 + (4 - 1)( \frac{1}{5} )

=  - 6 + (3)( \frac{1}{5} )

=  - 5 \frac{2}{5}

<u>For</u><u> </u><u>the</u><u> </u><u>tenth</u><u> </u><u>term</u>

n = 10

A(10) =  - 6 + (10 - 1)( \frac{1}{5} )

=  - 6 + (9)( \frac{1}{5} )

=  - 4 \frac{1}{5}

Hope this helps you

4 0
3 years ago
Solve for b:<br><br> 6b+14 = -7-b
vladimir2022 [97]

Answer:

b = -3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6b+14=−7−b

6b+14=−7+−b

6b+14=−b−7

Step 2: Add b to both sides.

6b+14+b=−b−7+b

7b+14=−7

Step 3: Subtract 14 from both sides.

7b+14−14=−7−14

7b=−21

Step 4: Divide both sides by 7.

\frac{7b}{7} = \frac{-21}{7}

b= -3

3 0
3 years ago
Read 2 more answers
ABCD is a quadrilateral and a line through A parallel to BC meets DC at X. If angle D=angle C , prove that ADX is isosceles.
r-ruslan [8.4K]

Answer:

see picture below

Step-by-step explanation:

7 0
2 years ago
A contractor buys 16 and 3/10 tons of sand and uses 8 and 4/5 tons.how much sand is left?
Andreas93 [3]

Answer:

7.5 short tons

Step-by-step explanation:

16 3/10 - 8 4/5 = 7.5

7 0
3 years ago
Read 2 more answers
Create an expression to represent the following<br><br> (picture is included below)
zheka24 [161]

Answer:

7) x + 0.09x, where x is the price of the car

8) x + 0.05x where x is the price of clothing

9) It will take michael about 9.14 minutes to eat 32 cookies.

Step-by-step explanation:

7) 9% of x is the same as 0.09x, so you can write this:

x + 0.09x, where x is the price of the car

8) same thing for this one

x + 0.05x where x is the price of clothing

9) michael can eat cookies at a rate of 21 cookies per 6 minutes, or \frac{21}{6}

Because he will be eating them at the same pace, you can write an equation and solve for the variable:

\frac{21}{6} = \frac{32}{y}

cross multiply the proportion:

21 × y = 32 × 6

solve:

21y = 192

y ≈ 9.14

It will take michael about 9.14 minutes to eat 32 cookies.

This works because they both simplify to 3.5 cookies per minute

\frac{21}{6} = 3.5

\frac{32}{9.14} = 3.5

6 0
3 years ago
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