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sveticcg [70]
3 years ago
12

PLEASE HELP ASAP!! I WILL GIVE U BRAINLIEST, PLZ SOLVE A person places a mirror between herself and a building. The mirror is 17

.5 meters from the building. When she is 3 meters away from the mirror, she can see the top of the building in the corner of the mirror. If she is 2 meters tall, how tall is the building? Round your answer to the nearest hundredth. Enter your answer as a number. For example, if your answer is 14.5 meters, enter 14.5
Mathematics
1 answer:
Semenov [28]3 years ago
6 0

Answer:

11.6

Step-by-step explanation:

There are 2 traingles one from the person to bottom of mirror and one from the bottom of the mirror to the top of the building

these are conjugate triangles so if the 3m represents 17.5

what does the 2 m represent?

2*17.5/3=35/3=11 2/3 so 11.6

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PLEASE I WILL GIVE YOU BRAINLIEST JUST HELP ME I LOVE YOUUUUUUUU
Ivenika [448]

Answer:

x=30

Step-by-step explanation:

90+130+x+10+x+x+x=360

230+3x=360

3x=90

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5 0
3 years ago
A circle passes through points A(7,4), B(10,6), C(12,3). Show that AC must be the diameter of the circle.
Artist 52 [7]

so we have three points, A, B and C, if indeed AC is the diameter of the circle, then half the distance of AC is its radius, and the midpoint of AC is the center of the circle, morever, since B is also on the circle, the distance from B to the center must be the same radius distance.

in short, half the distance of AC must be equals to the distance of B to the midpoint of AC, if indeed AC is the diameter.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{12}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{12+7}{2}~~,~~\cfrac{3+4}{2} \right)\implies \left( \cfrac{19}{2}~~,~~\cfrac{7}{2} \right)=M\impliedby \textit{center of the circle}

now, let's check the distance from say A to the center, and check the distance of B to the center, if it's indeed the center, they'll be the same and thus AC its diameter.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AM=\sqrt{\left( \frac{19}{2}-7 \right)^2+\left( \frac{7}{2}-4 \right)^2} \\\\\\ AM=\sqrt{\left( \frac{5}{2}\right)^2+\left( -\frac{1}{2} \right)^2}\implies \boxed{AM\approx 2.549509756796392} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}}) \\\\\\ BM=\sqrt{\left( \frac{19}{2}-10 \right)^2+\left( \frac{7}{2}-6 \right)^2} \\\\\\ BM=\sqrt{\left( -\frac{1}{2}\right)^2+\left( -\frac{5}{2} \right)^2}\implies \boxed{BM\approx 2.549509756796392}

6 0
3 years ago
The $414 price charges a store for a small refrigerator consists of the refrigerator's original cost to the store plus a profit
navik [9.2K]

Answer:

<h2>$351.9</h2>

Step-by-step explanation:

the question is not formatted well

<em>A store charges $414 for a small refrigerator, the price consists of the refrigerator's original cost to the store plus a profit 15% what was the refrigerator's original cost to the store?</em>

Step one:

given data

we are told that the price of the small refrigerator contains both the original price and 15% profit

mathematically

$414= original price + 15% profit

Step two:

let us solve for 15% of 414

=(15/100)*414

=0.15*414

=$62.1

This shows that the profit is $62.1

let the original price be x

$414= x + 62.1

solve for x

x=414-62.1

x=351.9

<u>The refrigerator's original cost to the store $351.9</u>

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Vlad1618 [11]
I’m not sure what that is
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Determine if the following equation is conditional equation, identity or a contradiction.
kow [346]

Answer:

dont know

Step-by-step explanation:

dont know

3 0
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