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REY [17]
3 years ago
9

What is the volume of the square pyramid with base edges 18 m and slant height 15 m

Mathematics
2 answers:
vlada-n [284]3 years ago
8 0

check the picture below.

so it has a base of 18x18 and a height of that much.

\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\ ------\\ B=\stackrel{18\times 18}{324}\\ h=12 \end{cases}\implies V=\cfrac{1}{3}(324)(12)\implies V=1296

Sav [38]3 years ago
8 0

The answer is 1296

..................................

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A pole that is 2.5 m tall casts a shadow that is 1.47 m long. At the same time, a nearby tower casts a shadow that is 36.25 m lo
Roman55 [17]

The tower is 61.65 meters tall.

<u>SOLUTION: </u>

Given that, a pole that is 2.5 m tall casts a shadow that is 1.47 m long.  

At the same time, a nearby tower casts a shadow that is 36.25 m long.  

We have to find height of the tower.  

Now, we know that,

2.5 \mathrm{m} \text { tall } \rightarrow 1.47 \text { long shadow }

Then, (let it be) n meter tall \rightarrow 36.25 long shadow

So, by cross multiplication method,

\Rightarrow \frac{2.5}{1.47}=\frac{n}{36.25}

This can be written as,

\Rightarrow 36.25 \times 2.5=1.47 \times n \rightarrow 1.47 n=90.625 \rightarrow n=61.649 \rightarrow n=61.65 \text{ m}

Cross multiplications steps: (To find Single Variable)

  1. Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction.
  2. Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.
  3. Set the two products equal to each other.
  4. Solve for the variable.
6 0
3 years ago
Penny and Kenny have the same number of football cards.
Pachacha [2.7K]
Hello,
Penny==>a*10 (a is an integer)
Kenny==>b*18 (b is an integer)

a*10=b*18==>a=9*b/5 ==>b=5+n*5
a=9*(5+5*n)/5=9*(1+n)=9+9n
If n=0 then a=9 and b=5 :Number od cards: 9*10=10, 5*18=90
if n=1 then a=19 and b=10: Number of cards: 19*10=190>100 to exclude.

So number of cards=90

7 0
3 years ago
Which of the diagrams below represents the contrapositive of the statement
VMariaS [17]

Answer:

The correct figure is B.

Step-by-step explanation:

The statement provided is:

"If it is an equilateral triangle, then it is an isosceles triangle"

The contra-positive of a statement is determined by switching the hypothesis and conclusion of the provided statement and negating both.

Then the contra-positive of the statement provided will be:

  • Switching the hypothesis and conclusion:

        If it is an isosceles triangle - It is an equilateral triangle.

  • Negating both the statements:

        If it is not an isosceles triangle - it is not an equilateral triangle.

Thus, the contra-positive of the statement is:

"If it is not an isosceles triangle, then it is not an equilateral triangle."

Thus, the correct figure is B.

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Factor completely 3x2 + 6x - 7x - 14
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Answer:(3x+7)(x+2)

Step-by-step explanation:

4 0
3 years ago
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