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sweet-ann [11.9K]
3 years ago
14

Geometry math question no Guessing and Please show work

Mathematics
1 answer:
Elan Coil [88]3 years ago
7 0

The Pythagorean Theorem states that for right triangles:

a^2=b^2+c^2

a= the hypotenuse

b and c equals the other two sides.

In this case we are given the hypotenuse so we can rearrange the equation to look like this b^2=a^2-c^2 (I subtracted c^2 from both sides). I know a and c so I can solve for b.

We get rid of a square by implementing a square root on both sides and get:

b=sqrt(a^2-c^2) .... b=sqrt( (sqrt(34))^2 - 3^2)

b= sqrt(25) ..... b=5

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Please help! A scale factor is always the ratio of the model’s dimensions to the actual object’s dimensions.
bearhunter [10]
False its not always the actual dimensions
7 0
3 years ago
Read 2 more answers
Paige made $1411.75 last year by investing a total of $15,250 in two accounts: one paying 8.5% annual interest and the other pay
Umnica [9.8K]
Lets x and y are 2 accounts Paige invested
x account invested with annual interest rate 8.5%
y account invested with annual interest rate 10%

x + y =<span>15,250 so x = 15,250 - y
0.085x + 0.1y = </span><span>1,411.75

substitute </span>x = 15,250 - y into 0.085x + 0.1y = 1,411.75

0.085x + 0.1y = 1411.75
0.085(15,250 - y) + 0.1y = 1,411.75
1,296.25 - 0.085y + 0.1y = 1,411.75
0.015y = 115.5
y = 7,700

x = 15,250 - y
x = x = 15,250 - 7,700
x = 7,550

answer

$7,550 invested on account with annual interest rate 8.5%
$7,700 invested on account with annual interest rate 10%
8 0
3 years ago
Determine whether each point lies on the graph of the equation.
sladkih [1.3K]
Points 2,2
2=square root of 6-2
2=square root of 4
2=2
Yes point lies on graph

Points 6,0
0=square root of 6-6
0=0
Yes point lies on graph
3 0
3 years ago
I need help with this
elena-s [515]

Answer:

the first option - 48s + 4.75

Step-by-step explanation:

3 0
3 years ago
Which two values of x are roots of the polynomial below?<br> 3x2-3x+1
QveST [7]

Answer:

The roots are

x=\frac{1}{6} [3+ i\sqrt{3}]

x=\frac{1}{6} [3- i\sqrt{3}]

Step-by-step explanation:

we have

3x^2-3x+1

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

3x^2-3x+1=0  

so

a=3\\b=-3\\c=1

substitute in the formula

x=\frac{-(-3)\pm\sqrt{-3^{2}-4(3)(1)}} {2(3)}

x=\frac{3\pm\sqrt{-3}} {6}

Remember that

i=\sqrt{-1}

so

x=\frac{1}{6} [3\pm i\sqrt{3}]

The roots are

x=\frac{1}{6} [3+ i\sqrt{3}]

x=\frac{1}{6} [3- i\sqrt{3}]

6 0
3 years ago
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