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3 years ago

Find three right triangles based upon the Pythagorean Triple of 8, 15, and 17. Explain how you know these are triangles.

1 answer:

7 0

A^2 + b^2 = c^2
8^2 + 15^2 = 17^2
64 + 225 = 289
289=289
It is a triangle because the numbers match the Pythagorean Theorem.

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A semicircle has an area of 76.97 squared km. Find it’s radius

shtirl [24]

Answer:

7 km

Step-by-step explanation:

Substitute:

The equation for area of a semi-circle is $\frac{r^{2}\pi }{2}$

A = $\frac{r^{2}\pi }{2}$

76.97 = $\frac{r^{2}\pi }{2}$

Multiply by 2 on both sides:

2(76.97) = ( $\frac{r^{2}\pi }{2}$ )2

153.94 = $r^{2} \pi$

Divide by pi on both sides:

153.94 = $r^{2} \pi$

/pi /pi

49.03 ≈ $r^{2}$

Find the square root:

$\sqrt{49.03} =\sqrt{r^{2} }$

7 = r

7 0

3 years ago

Find the value of X. 40,x

Vilka [71]

Answer:

x = 70°

Step-by-step explanation:

x = one of the congruent angles in the triangle

Given angle measure: 40°

x = ? + ? = 180 - 40 = 140

x = 70

4 0

3 years ago

Read 2 more answers

Translate the phrase into an expression: 11 more than one third of a number

skelet666 [1.2K]

1/3x+11.
1/3 of a number can be shown as 1/3x, since the number is not identified.

We can represent 11 more as +11.
This, our expression is 1/3x+11

Hope this helps!

5 0

3 years ago

620 prime factorization

seraphim [82]

Prime factorization of 620:

620

2 310

2 155

5 31

31 1

8 0

2 years ago

Find the volume of these rctangular prisms length=6.4mm width=2.5mm hight=7mm<br> step by step pls

Soloha48 [4]

Answer:

The volume of this rectangular prism is 112mm.

Step-by-step explanation:

$volume \: = \: length \times width \times height \\ v = 6.4mm \times 2.5mm \times 7mm \\ v = 112mm$

4 0

2 years ago