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Nata [24]
2 years ago
6

In right triangle ABC, a = 7, b = 9 and

Mathematics
1 answer:
Lunna [17]2 years ago
3 0

Answer: the answer is 63,ABC

Step-by-step explanation:

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Triangle JKL was dilated with the origin as the center of dilation to create triangle ′′′.J′K′L′. The triangle was dilated using
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Answer:

KL = 5.25

LJ = 6

Step-by-step explanation:

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3.5^1.6 <br>round answer to nearest thousandth​
Dmitriy789 [7]

The answer would be 7.42

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3 years ago
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Will mark brainliest! Questions are in the picture!
alexdok [17]

Answer:

52.9 inches .

Step-by-step explanation:

Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.

As we know that the area of triangle is ,

\rm\longrightarrow Area_{\triangle}=\dfrac{1}{2}(base)(height)

Substituting the respective values,

\rm\longrightarrow 100\ =\dfrac{1}{2}(x+3)(3x)\\\\\rm\longrightarrow 2(100) = 3x(x+3)\\\\\rm\longrightarrow200 = 3x^2+9x\\\\\rm\longrightarrow 3x^2+9x-200=0

On using the <u>Quadratic</u><u> formula</u> , we have;

\rm\longrightarrow x =\dfrac{-9\pm\sqrt{9^2-4(3)(-200)}}{2(3)} \\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{81+1200}}{6}\\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{1281}}{6}

On simplifying above , we will get ,

\rm\longrightarrow x = 6.802,-9.802

Since sides can't be negative, therefore,

\rm\longrightarrow\underline{\underline{ x =6.802}}

Therefore ,

  • \rm\longrightarrow Base = 3x =3(6.802)in = 20.406\ in\\
  • \rm\longrightarrow Height = x +3=6.802+3=9.802\ in

Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;

\rm\longrightarrow h=\sqrt{ b^2+p^2}\\

\rm\longrightarrow h =\sqrt{ (20.406)^2+(9.802)^2}\\

\rm\longrightarrow h =\sqrt{416.40+96.07}\\

\rm\longrightarrow h = 22.63\ in

Now we may find perimeter as ,

\rm\longrightarrow P = p + b + h \\

\rm\longrightarrow P = (22.63 + 9.802 + 20.406)in.

\\\rm\longrightarrow P = 52.89 \ in.\\

\rm\longrightarrow \underline{\underline{ Perimeter = 52.9\ in .}}

8 0
2 years ago
Jake runs the 100-meter dash in
SSSSS [86.1K]

Answer:

400 meters

Step-by-step explanation:

We are told in the question that:

Jake runs the 100-meter dash in

track.

Erika runs a race 400% the distance of Jake's race.

Hence, the length of

Erika's race is calculated as:

400% × 100 - meter

= 4 × 100- meter

= 400 meters

Therefore, Erika's race was 400 meters long.

4 0
3 years ago
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