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Nataly [62]
2 years ago
15

PLEASE HELP THIS IS DUE TODAY

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
3 0
Answer= 12. hope this helped. almost 100% sure this is right.

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In a circle a chord 10 inches long is parallel to a tangent and bisects the radius drawn to the point of tangency. How long is t
Lorico [155]
Check the picture below.

keeping in mind that the point of tangency for a radius line and a tangent is alway a right-angle, since the "red" chord is parallel to the "green" tangent line outside, then the chord is cutting the "green" radius there in two equal halves at a right-angle, as you see in the picture.

we know the chord is 10 units long, so 5 + 5, since is perpendicularity with the radius will also cut the chord in two equal halves.

anyhow, all that said, we end up with triangle you see on the right-hand-side, and then we can just use the pythagorean theorem.

\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
-------\\
c=2a\\
a=a\\
b=5
\end{cases}\implies (2a)^2=a^2+5^2

\bf (2^2a^2)=a^2+25\implies 4a^2=a^2+25\implies 3a^2=25
\\\\\\
a^2=\cfrac{25}{3}\implies a=\sqrt{\cfrac{25}{3}}\implies a=\cfrac{\sqrt{25}}{\sqrt{3}}\implies a=\cfrac{5}{\sqrt{3}}
\\\\\\
\textit{and then we can \underline{rationalize the denominator} }
\\\\\\
a=\cfrac{5}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies a=\cfrac{5\sqrt{3}}{\sqrt{3^2}}\implies a=\cfrac{5\sqrt{3}}{3}

7 0
3 years ago
What is the slope intercept form when m = 1/2 &amp; b = 89 ?<br> Helppppppppp
Zina [86]

Answer:

y = \frac{1}{2}x + 89

Step-by-step explanation:

slope-intercept form: y  = mx + b

y = (x , y)

x = (x , y)

m = slope = 1/2

b = y-intercept = 89

Plug in the corresponding numbers & variables to the corresponding variables:

y = (1/2)x + 89

y = \frac{1}{2}x + 89  is your answer.

~

5 0
3 years ago
Read 2 more answers
Multiply (−4)(−2)(−5)<br><br> A. -40<br><br> B. -8<br><br> C. 8 <br><br> D. 40
wlad13 [49]
(-4)(-2)= 8
8(-5)= -40
Answer: -40
8 0
3 years ago
Anthony Chen's father is going to put a tile border around
Levart [38]

Answer: 12

Step-by-step explanation:

One yard is three feet. So three times four is 12 because it makes four yards in total with each side being a yard.

3 0
3 years ago
What is.. 4x-2=(x+3)+2
Contact [7]

Answer:

x = 7/3

Step-by-step explanation:

4x - 2 = x + 3 + 2

4x - 2 = x + 5

Rearranging the terms, we get,

4x - x = 5 + 2

3x = 7

x = 7/3

Hence, x = 7/3.

5 0
3 years ago
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