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ahrayia [7]
3 years ago
14

Solve for d: 7d = –35

Mathematics
1 answer:
34kurt3 years ago
5 0
7d = - 35
d = - 5

anything 2 ask please pm me
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I don't know if this is right... please someone help mee
worty [1.4K]
For the first circle, let's use the pythagorean theorem

\bf \textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{8^2+15^2}\implies c=\sqrt{289}\implies c=17

now, it just so happen that the hypotenuse on that triangle, is actually 17, but we used the pythagorean theorem to find it, and the pythagorean theorem only works for right-triangles.

 so if the hypotenuse is actually 17, that means that triangle there is actually a right-triangle, meaning that the radius there, and the outside line there, are both meeting at a right-angle.

when an outside line touches the radius line, and they form a right-angle, the outside line is indeed a tangent line, since the point of tangency is always a right-angle with the radius.



now, let's check for second circle

\bf \textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{11^2+14^2}\implies c=\sqrt{317}\implies c\approx 17.8044938

well, low and behold, we didn't get our hypotenuse as 16 after all, meaning, that triangle is NOT a right-triangle, and that outside line is not touching the radius at a right-angle, therefore is NOT a tangent line.



let's check the third circle

\bf \textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{33^2+56^2}\implies c=\sqrt{4225}\implies c=\stackrel{33+32}{65}

this time, we did get our hypotenuse to 65, the triangle is a right-triangle, so the outside line is indeed a tangent line.
6 0
3 years ago
10 lbs ≈
sergejj [24]

Answer:

D. 4.5 kg

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the length AB round your answer to the tenth
Kobotan [32]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

AB =  \sqrt{ ({3 - ( - 2)})^{2} +  ({4 - 0})^{2}  }  \\

AB =  \sqrt{ ({3 + 2})^{2} +  {4}^{2}  }

AB =  \sqrt{ {5}^{2} +  {4}^{2}  }

AB = \sqrt{25 + 16}

AB = \sqrt{41}

AB = 6.403

AB = 6.4

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3 0
3 years ago
Who can explain to me what is sample space probobility<br> 15 POINTS!!!
DIA [1.3K]

a sample space, , which is the set of all possible outcomes.

A set of events , where each event is a set containing zero or more outcomes.

The assignment of probabilities to the events; that is, a function from events to probabilities.

pls make me brainlyest have a good day

4 0
3 years ago
Read 2 more answers
Pls help will mark brainliest
nevsk [136]

Answer: The constant proportionality is 5/4

Step-by-step explanation: The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

3 0
3 years ago
Read 2 more answers
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