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AnnyKZ [126]
2 years ago
14

Pythagorean Theorem Determine the length of the missing side?

Mathematics
2 answers:
Naily [24]2 years ago
6 0
The answer should be 12.2
7^2+10^2=c^2
49+100=c^2
149=c^2
12.2=c
AnnyKZ [126]2 years ago
3 0

Answer:

c= sqrt149; 12.2 rounded

Step-by-step explanation:

Pythagorean Theorem to find c(hypotenuse): a^2+b^2=c^2

7^2+10^2=149

sqrt149= 12.2 rounded

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Expand 6(x-8)= x- (8) = help me
maksim [4K]

Answer:

x = 8

Step-by-step explanation:

6(x-8)= x- (8)

6x - 48=x - 8

6x- 48 + 48 = x - 8 + 48

6x = x + 40

6x - x = x + 40 - x

5x = 40

5x/5 = 40/5

x = 8

Hope it helps! :)

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2 years ago
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3 0
2 years ago
1. Isosceles Triangle The two equal sides of an isosceles triangle are each 42
gavmur [86]

Answer:

1. H = 29 cm

2. θ = 44°

Step-by-step explanation:

1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:

L^{2} = H^{2} + B^{2}

Where:

L: is the sides of the isosceles triangle = 42 cm

B: is the base = 30 cm

H: is the height =?

Then, the height is:

H = \sqrt{L^{2} - B^{2}} = \sqrt{(42 cm)^{2} - (30 cm)^{2}} = 29.4 cm = 29 cm

2. The two equal angles (θ) can be found using the following trigonometric identity:          

cos(\theta) = \frac{B}{L}

\theta = cos^{-1}(\frac{30 cm}{42 cm}) = 44.4^{\circ} = 44^{\circ}

Hence, the two equal angles are 44°.

I hope it helps you!  

3 0
2 years ago
Can anyone find the x and y intercepts for this equation?
ASHA 777 [7]
<span><u>1/3x - 1/2y = 1</u>

At the 'x' intercept, y=0 , and the equation is    1/3 x = 1

Multiply each side by 3 :            <em>x = 3 </em> <== the x-intercept


At the 'y' intercept,  x=0, and the equation is  -1/2 y = 1

Multiply each side by  2 :            - y = 2

Multiply each side by  -1 :            <em> y = -2  </em>  <== the y-intercept
</span>
7 0
3 years ago
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