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3 years ago

PLEASE HELP ME PLZ PLZ PLZ

Mathematics

1 answer:

Oksana_A [137]3 years ago

4 0

Answer:

Step-by-step explanation:

pythagoras theorem = a* + b* = c* ( by '*' i mean squared)

2* + b* = square root twenty

4 + b* = 20

b* = 16

b = 4

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The base perimeter of a triangular prism is 36cm and lateral surface area is

Phoenix [80]

(a)

Lateral surface area of prism =720cm²(Given) Perimeter x height = 720

36 x height = 720

$∴ Height\: of\: prism = \frac{720}{36} = 20\\(b) Total \:surface\: area\: of\: prism = 2 x \:base\: area\: + L.\: S.\: A\: of \:prism \\ = \frac{2 \times \sqrt{3} }{4} \times( {12}^{2} ) + 720 \\ = (72 \sqrt{3} + 720) {cm}^{2} \\ = (72 \times 1.732 + 720) {cm}^{2} \\ = 844.704 \frac{}{} {cm}^{2}$

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3 years ago

What is the solution to 7x+115=136?

lubasha [3.4K]

Answer:

x=3

Step-by-step explanation:

In order to solve this kind of equation, you need to be able to understand what the question is asking. This question is asking what value of X will make both sides equivalent to each other?

In order to find out, you need to get X by itself.

The first step is to subtract 115 from both sides.

7x+115=136

-115 | -115

7x=21

Now, the X value is by itself with another value on the other. With this part, you need to divide both sides by 7.

7x=21

/7 | /7

x=3

This is because you have 7 X's and you need to have only 1 of the X's.

Let me know if this was helpful or if you need any more help. Have a nice day. :)

6 0

3 years ago

Read 2 more answers

Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.

ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

$a_n = a_1 + d(n-1)$

Plug in $a_1 = 4, \ d = 8, \ n = 10$ and you should get the following:

$a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\$

The tenth term is 76

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We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

$\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}$

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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in $a_n = a_1 + d(n-1)$ which shifts everything one spot to the left.

7 0

2 years ago

What is the equation of the sinusoid shown in the graph?

ololo11 [35]

Answer:

Answer: C

Step-by-step explanation:

The Cosine Function

The graph of a cosine function is a sinusoid that starts at its maximum value of 1 at x=0 and takes x=2π radians to complete a full cycle. The function of the parent cosine function is:

$y=\cos x$