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3 years ago

A triangle has a leg of 11 cm, and a hypotenuse of 17 cm, what is the length of the other leg

Mathematics

2 answers:

Vera_Pavlovna [14]3 years ago

5 0

The answer to this question is 12.1695 because a^2+b^2=c^2

bazaltina [42]3 years ago

4 0

Answer:

the length is approximately 13

Step-by-step explanation:

If a triangle has a hypotenuse, this means that it is right triangle. Knowing that it is right triangle we can use the Pythagorean Theorem

Pythagorean Theorem:

${a}^{2} + {b}^{2} = {c}^{2}$

${11}^{2} + {b}^{2} = {17}^{2}$

$121 + {b}^{2} = 289$

${b}^{2} = 289 - 121$

${b}^{2} = 168$

$b = \sqrt{168}$

$b = 12.9614813968$

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SOVA2 [1]

10000 times the value of the other one

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3 years ago

NEED HELP PLEASE!

USPshnik [31]

Answer:

$(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16$

Step-by-step explanation:

Complex numbers identity:

The complex numbers identity is:

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Square of the sum:

$(x + y)^2 = x^2 + 2xy + y^2$

In this question:

$(x + (3+5i))^2$

$x^2 + 2x(3+5i) + (3+5i)^2$

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5 0

3 years ago

Write a pair of integers whose sum is- -8

Vlad [161]

Answer:

-3+(-5)

Checking our answer:

Adding this does indeed give -8

6 0

3 years ago

Consider the square root function f(x) = sqrt x + 2 + 1 to complete the table of values below. find each missing value and then

Scrat [10]

Given the function :

$f(x)=\sqrt[]{x+2}+1$

We need to find each missing value

Given x = -3 , -2 , -1 , 2 , 7

So, substitute with each value of x to find the corresponding value of f(x)

$x=-3\rightarrow f(x)=\sqrt[]{-3+2}+1=\sqrt[]{-1}+1$

So, there is no value for f(x) at x = -3 (the function undefined because the square root of -1)

$\begin{gathered} x=-2\rightarrow f(x)=\sqrt[]{-2+2}+1=\sqrt[]{0}+1=0+1=1 \\ \\ x=-1\rightarrow f(x)=\sqrt[]{-1+2}+1=\sqrt[]{1}+1=1+1=2 \\ \\ x=2\rightarrow f(x)=\sqrt[]{2+2}+1=\sqrt[]{4}+1=2+1=3 \\ \\ x=7\rightarrow f(x)=\sqrt[]{7+2}+1=\sqrt[]{9}+1=3+1=4 \end{gathered}$

the graph of the function and the points will be as shown in the following image :