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crimeas [40]
3 years ago
12

The surface area of a regular pentagonal pyramid is 125 square yards. The base length is 5 yards. The area of the base is 37.5 s

quare yards. What is the slant height of the pyramid?
Mathematics
1 answer:
forsale [732]3 years ago
3 0

Answer:

<h2>The Slant height of the pyramid is 7 yards.</h2>

Step-by-step explanation:

The total surface area is 125 square yards.

The base area is 37.5 square yards.

Hence, the area of the curved surface is 125 - 37.5 = 87.5 square yards.

According, to the formula, the area of the curved surface is \frac{5}{2} \times bs, where b is the base length and s = slant height.

Here, it is given that b = 5 yards.

Thus, \frac{5\times5\times s}{2} = 87.5\\s = 7.

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Find the length of the rectangle with a perimeter of 200 cm and breadth of 10 cm.
Rudiy27

Step-by-step explanation:

Given,

Perimeter of the rectangle = 200cm

Breadth of the rectangle = 10 cm

Therefore, by the problem

=> 2(l+b) = 200cm

=> 2(l + 10) = 200cm

=  > l + 10 =  \frac{200}{2}

=> l + 10 = 100

=> l = 100 - 10

=> l = 90

<u>Hence, required length othe rectangle is 90 cm (Ans)</u>

4 0
2 years ago
True or False?
AURORKA [14]

Answer:

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7 0
2 years ago
1/4(z +3z)+ 7=−z + 1 please help with this ive been stuck
erastovalidia [21]

Answer:

<em><u>z = -3</u></em>

Step-by-step explanation:

<u>Step 1: Simplify both sides of the equation. </u>

z+7=−z+1

<u>Step 2: Add z to both sides. </u>

z+7+z=−z+1+z

2z+7=1

<u>Step 3: Subtract 7 from both sides. </u>

2z+7−7=1−7

2z=−6

<u>Step 4: Divide both sides by 2. </u>

<u>2z</u>   =  <u>−6 </u>

2      2

z=−3

5 0
3 years ago
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Using the change-of-base formula, which of the following is equivalent to the
Otrada [13]

Given:

The logarithmic expression is:

\log_718

To find:

The equivalent expression of given expression by using change-of-base formula.

Solution:

The change-of-base formula is:

\log_ba=\dfrac{\log_ca}{\log_cb}

The given expression is:

\log_718

Using the change-of-base formula, we get

\log_718=\dfrac{\log_c18}{\log_c7}

Where, is a constant and c>0.

Let c=10, then

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Therefore, the correct option is a.

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2 years ago
Which of the following is least likely to be kept as part of one’s financial records? a. A receipt for a dishwasher. b. A receip
Artemon [7]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
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