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zhenek [66]
3 years ago
7

Help with length of hypotenuse ​

Mathematics
2 answers:
Molodets [167]3 years ago
6 0

Answer:

sqrt(10)x so ten is your answer

Step-by-step explanation:

hope this helps

Salsk061 [2.6K]3 years ago
5 0

Answer:

sqrt(10) *x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + (3x)^2 = hypotenuse ^2

x^2 + 9x^2 = hypotenuse ^2

10x^2 = hypotenuse  ^2

Take the square root of each side

sqrt( 10x^2) =  sqrt(hypotenuse  ^2)

sqrt(10) * x = hypotenuse

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What is the value of 4⋅(2^2+5)^2÷3−1?
mel-nik [20]

Hi there!

<u>Here is the step by step explanation into solving this :</u>

4 × (2² + 5)² ÷ 3 - 1

Start by solving the inside of the parentheses

2² = 2 × 2 = 4

4 + 5 = 9

Distribute the "²" to the whole parentheses

9² = 9 × 9 = 81


4 × 81 ÷ 3 - 1

Do the multiplication, then the division and lastly the subtraction

4 × 81 = 324

324 ÷ 3 = 108

108 - 1 = 107


The answer is : 107


There you go! I really hope this helped, if there's anything just let me know! :)

5 0
3 years ago
What is the monomial if a square of a monomial is: 0.0001*a^8*x^4
Georgia [21]

Answer:

Monomial 0.0001\cdot a^8\cdot x^4 is a square of monomial 0.01\cdot a^4\cdot x^2

Step-by-step explanation:

Given monomial 0.0001\cdot a^8\cdot x^4

Using property (a^m)^n=a^{m\cdot n}, note that

0.0001=(0.01)^2\\ \\a^8=(a^4)^2\\ \\x^4=(x^2)^2

So,

0.0001\cdot a^8\cdot x^4=(0.01)^2\cdot (a^4)^2\cdot (x^2)^2.

Now use property (a\cdot b)^n=a^n\cdot b^n to rewrite the previous expression:

(0.01)^2\cdot (a^4)^2\cdot (x^2)^2=(0.01\cdot a^4\cdot x^2)^2

Hence, monomial 0.0001\cdot a^8\cdot x^4 is a square of monomial 0.01\cdot a^4\cdot x^2

7 0
2 years ago
The primeter of a rectangle is 53 meters. The length is 2.3 meters longer than the width, w. Write and solve an equation to ind
lys-0071 [83]

The perimeter is the total of adding all of the sides together. A rectangle has 2 lengths and 2 widths. The equation would be:

P = 2l + 2w or P = l + l + w + w

Since you know the perimeter, you can plug it into the equation

53 = 2l + 2w

You can divide the 2 on both sides

26.5 = l + w

l = w + 2.3 because the length is 2.3 meters longer/more than the width. You can substitute (w + 2.3) for "l" in the equation. So instead of:

26.5 = l + w

It will be:

26.5 = (w + 2.3) + w

26.5 = w + 2.3 + w

Subtract 2.3 on both sides

24.3 = w + w

24.3 = 2w

Divide 2 on both sides

12.1 = w

The width is 12.1 meters

6 0
2 years ago
Evaluate 9/g+2h+5 when g=3 and h=6
vladimir1956 [14]
To answer this question, simply input the values for g and h:

9/ (3) + 2 (6) + 5 = 9/ 3 + 12 + 5
                           = 9/ 20
          

Hope this helps!
6 0
2 years ago
Read 2 more answers
Slope intercept form of y+3= 1/2(x-2)?
WITCHER [35]
The slope intercept form looks like y=mx+b (m-slope, b is the y intercept)

y+3=1/2(x-2)
y=(1/2)x-(2/2)-3

y=(1/2)x-4
8 0
3 years ago
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