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wariber [46]
3 years ago
5

Can someone help me out with this?​

Mathematics
1 answer:
Phoenix [80]3 years ago
5 0

Answer:

i think it is the 3rd one though i am not sure sorry

Step-by-step explanation:

if it is not the 3rd one then it is the 1st one

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The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find t
Alexeev081 [22]
Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8


Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.


Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

8 0
3 years ago
Order from least to greatest<br><br><br> .square root of 2 <br> .pi<br> .4.5
valkas [14]
The way you have it is correct because root 2 is roughly 1.4 pi approximately is 3.4 and 4.5 is a rational number
8 0
3 years ago
What is the value of n?
BARSIC [14]

Answer:

n=4

Step-by-step explanation:

7n-3n=16

4n=16

n=16/4

n=4

6 0
3 years ago
Given the triangle that has a base of five less than triple the height. The height is 2x+6.
Deffense [45]

Answer:

<h3>          A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>

Step-by-step explanation:

H = 2x+6          - the hight

3H = 3(2x+6)      - triple the hight

3H-5 = 3(2x+6) - 5    -  five less than triple the height

Area of triangle:  A = 0.5BH

B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13

H = 2x+6

So:

    A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78

    A = 6x² + 49x + 78

5 0
3 years ago
Deb has of a brownie. She wants to divide it up into 's of a brownie so she can have it throughout the day. How many 's will she
qaws [65]
The answer would be 3

4 0
3 years ago
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