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3 years ago

Find the source area of the space figure represented by the net

Mathematics

1 answer:

sergejj [24]3 years ago

6 0

I assume you meant "surface area" :)

Looking at the net, it looks like if you folded it back together it would form to become a triangular prism.

To calculate the surface area of a triangular prism, you would use the formula: A = bh + 2ls + lb, where b is the base of the triangular faces, h is the height of the prism, l is the length of the prism, and s is the side length of the prism.

I attached a picture to help you see what these labels are.

Looking at the diagram you've provided, we can assume that b = 7 cm, h = 4 cm, l = 8 cm, and s = 5 cm. Substitute these into the formula.

A = bh + 2ls + lb ==> A = (7)(4) + 2(8)(5) + (8)(7)

Multiply from left to right.

28 + 80 + 56

Add.

164

The surface area of this triangular prism is A) 164 cm^2.

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Write the rule for the nth term of the following sequence.

denis-greek [22]

Answer:

$2^{n-3}$ is the nth term of the given sequence.

Step-by-step explanation:

The sequence given is

$\frac{1}{4},\frac{1}{2},1,2,4 .....$

We can clearly see that 1st term is $\frac{1}{4}$ and 2nd term is $\frac{1}{2}$

2nd term is obtained by multiplying the 1st term by 2.

2nd term is $\frac{1}{2}$ and 3rd term is 1.

3rd term is obtained by multiplying the 2nd term by 2.

3rd term is 1 and 4th term is 2.

4th term is obtained by multiplying the 3rd term by 2.

Clearly, the given series is a Geometric Progression(GP) with

First term, $a = \frac{1}{4}$

Common Ratio, $r = 2$

We know that $n^{th}$ term for a GP is:

$a_n = ar^{n-1}$

Putting values of a and r

$a_n = \dfrac{1}{4}2^{n-1}\\a_n = \dfrac{1}{2^{2} }2^{n-1}\\a_n = 2^{n-1-2}\\a_n = 2^{n-3}$

Hence, $2^{n-3}$ is the nth term of the given sequence.

3 0

2 years ago

What do we call a polynomial with 5 terms

Dafna11 [192]

Answer:

You call an expression with a single term a monimial, an expression with two terms is a binomial and an expression with three terms is a trinomial. An expression with more than three terms is named simply by it's number of terms. For example a polynomial with five terms is called a five-term polynomial.

Step-by-step explanation:

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2 years ago

In 36 years, Ishaan will be 3 times as old as he is right now. How old is he right now?

Lady_Fox [76]

Answer: He is 18 years old right now.

Step-by-step explanation:

Let the present age of Ishaan be x

After 36 years,

his age will be x+36

According to question,

it is mentioned that Ishaan will be 3 times as old as he is right now ,

So, we will frame it in equation:

$x+36=3x\\\\36=3x-x\\\\36=2x\\\\x=\frac{36}{2}\\\\x=18\ years$

Hence, he is 18 years old right now.

3 0

2 years ago

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Cameron is playing 9holes of golf. he needs to score a total of at most 15 over par on the last four holes to beat his best golf

adelina 88 [10]

A. 5-1+6-1=9

b. His score is over par by 9 because 5-1+6-1=9.

c. Yes he beat it because he is only 9 over par.

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3 years ago

Find the volume of this cylinder. Give your answer to 1 decimal point

galina1969 [7]

Answer:

1330.5 cm³

Step-by-step explanation:

The volume of a cylinder is: V = πr²h

Substitute the values for those variables.

V = π(5.5)²(14)

V = π(30.25)(14)

V = 1330.5

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2 years ago

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