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lys-0071 [83]
3 years ago
9

The legs of a right triangle are 3 and 4 inches long how long is the hypotenuse

Mathematics
1 answer:
nataly862011 [7]3 years ago
3 0
In the right angled triangle, a hypotenuse is the longest line of the triangle and is always the one that is opposite the right-angle of the triangle.
If your triangle is a right angled triangle, the simplest way is to use the Pythagora's Theorem to find the length of the hypotenuse. The formula for which is
a² + b² = c²  where c is the unknown hypotenuse and a and b are the other two sides.
<span>Using this formula,
3</span>² + 4² = c²
9 + 16 = c²
25 = c²
√25 = √c²
5 = c which if you notice is also the lengthiest .
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Find the 12th term of the following geometric sequence.<br> 10, 30, 90, 270,
DanielleElmas [232]

Answer:

<h3>The 12th term is 1771470</h3>

Step-by-step explanation:

Since the above sequence is a geometric sequence

An nth term of a geometric sequence is given by

A(n) = a(r)^{n - 1}

where a is the first term

r is the common ratio

n is the number of terms

From the question

a = 10

To find the common ratio divide the previous term by the next term

That's

r = 30/10 = 3 or 90/30 = 3 or 270/90 = 3

Since we are finding the 12th term

n = 12

So the 12th term is

A(12) = 10( {3})^{12 - 1}

A(12) = 10 ({3})^{11}

<h3>A(12) = 1771470</h3>

Hope this helps you

8 0
3 years ago
Caroline has 10 marbles. One half of them are blue. How many marbles are blue?
Viktor [21]
Answer: 5

One half of 10 is 10/2 or 1/2(10)
10/2 = 5
1/2(10) = 5
6 0
3 years ago
Read 2 more answers
What is the axis of symmetry of the function f(x) = –(x + 9)(x – 21)?
ludmilkaskok [199]
First, we have to realize that this is factored form, so we have to put this in standard quadratic form using FOIL, which is a rule mandating how we multiply the numbers here. F stands for First, which means the first number inside the parentheses for both of them, then O means the first number in the first quantity(fancy word for parentheses) multiplied by the last number of the second quantity, and so forth. When you are done, you combine like terms

anyway, you end up with x²-12x-189, but you have to inverse all numbers because of the parentheses in front, so it becomes -x²+12x+189.

Now you can find the axis of symmetry uisng the equation -b=2a (oh yeah, I forgot to mention: the standard quadratic form is a(x)²+b(x)+c already). So you do -12 / -2, which then becomes 6.

The axis of symmetry is 6
3 0
3 years ago
Can someone please help me find the answer to this question?
rodikova [14]

Answer:

first option is correct

have a nice day

4 0
1 year ago
Read 2 more answers
Help I’m timed I’ll mark u brainliesttt
Zigmanuir [339]
It would be 5sqrt2

a^2 + b^2 = c^2
5^2 + 5^2 = c^2
25 + 25 = c^2
50 = c^2
c = sqrt 50
c = 5sqrt2
4 0
3 years ago
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