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lana66690 [7]
3 years ago
9

5. Find the slant height of the square pyramid illustrated below that has a

Mathematics
1 answer:
Andre45 [30]3 years ago
8 0

Answer:

  20 ft

Step-by-step explanation:

The formula for the surface area of a pyramid is often written in terms of the base dimensions and the slant height. We can solve that formula for the slant height.

  SA = base area + lateral area

  SA = b² + 2bs . . . . . where b is the base dimension, and s is the slant height

  SA -b² = 2bs . . . . . subtract the base area

  s = (SA -b²)/(2b) . . . . divide by the coefficient of s

Using the given values for surface area and base length, we find ...

  s = (896 -16²)/(2·16) = 640/32 = 20 . . . feet

The slant height of the pyramid is 20 feet.

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3 years ago
Find the surface area of a sphere with a radius of 30 m. leave your answer in terms of pi @Directrix
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Aya = a1 + (n - 1)d
Alenkasestr [34]

Answer:

The 26th term of an arithmetic sequence is:

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Hence, option A is true.

Step-by-step explanation:

Given

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An arithmetic sequence has a constant difference 'd' and is defined by

a_n=a_1+\left(n-1\right)d

substituting a₁ = -33 and d = 4 in the nth term of the sequence

a_n=-33+\left(n-1\right)4

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Thus, the nth term of the sequence is:

a_n=4n-37

now substituting n = 26 in the nth term to determine the 26th term of the sequence

a_n=4n-37

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a_{26}=104-37

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Therefore, the 26th term of an arithmetic sequence is:

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Answer:

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In linear equation, 15.2% did the total number of students on the honor roll decrease.

What in mathematics is a linear equation?

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  • Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

50 × 24% = 12

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