What is the area of this figure? Enter your answer in the box.

Mathematics

1 answer:

Paladinen [302]3 years ago

6 0

The area would be 35 cm squared.

Lets break it down:
Triangle- The area of a triangle is base×height÷2
so if we plug in the numbers, the base would be 5 (the length) and the height would be 4 (the height). 5×4= 20÷2= 10.
Square- The area of a square is base×height so if we pluged in the numbers, the base is 5 (the length) and the height is 5 (the height). 5×5= 25.

10+25= 35 cm squared

Hope this helps!

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Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat

Lelechka [254]

<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

A = 0.5 ab SinC

Here we need to find how area changes with a and b fixed and C is changing,

$\frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}$

We have

a = 8 m

b = 9 m

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Substituting

$\frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s$

Rate at which area is increasing is 1.08 m²/s.

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3 years ago

The sides of a triangle are in the ratio of 2:3:4. If the measure of the shortest side of the triangle is 12 centimeters, what i

Scorpion4ik [409]

To answer this, we let x some factor that would agree or make the ratio given true. We calculate as follows:

<span>2:3:4
2x:3x:4x

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3 years ago

Read 2 more answers

Does anyone know this ? Thank you

alina1380 [7]

Answer:

Step-by-step explanation:

angle ACB = 180-130=50 degree

angle ABC = 180 - (94+50)

= 180-144

= 36

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