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3 years ago

Simplify the expression in detail plz

Mathematics

1 answer:

gayaneshka [121]3 years ago

5 0

(18t^2 + 9t^2) + (−7t −3t) + 20

27t^2 − 10t + 20

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Josh is building a sandbox for his little sister. He uses these plans, which have a scale of 2 in. : 3 ft.

skelet666 [1.2K]

Answer:

Width of 6ft and length of 9ft

Step-by-step explanation:

The sandbox has a ratio of 2:3. If you plug the numbers in with the ratio, you can find the actual dimensions.

Let x be the length

Let y be the width

(Length)

2in / 3ft = 6in / (x)ft

2in / 3ft = 6in / 9ft

(Width)

2in / 3ft = 4in / (y)ft

2in / 3ft = 4in / 6ft

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3 years ago

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andrew11 [14]

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3 years ago

Subtract the linear expressions.

Alinara [238K]

Answer:

Step-by-step explanation:

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3 years ago

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erma4kov [3.2K]

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3 years ago

Find the area of △LKJ.

nirvana33 [79]

Answer:

$A=600\: u^{2}$

The correct answer is letter c.

Step-by-step explanation:

The area equation of a triangle is given by:

$A=\frac{bh}{2}$ (1)

Where:

b is the base

h is the height

Let's find first the angle MJK (α), using the tangent definition.

$tan(\alpha)=\frac{24}{32}$

$\alpha=tan^{-1}(\frac{24}{32})$

$\alpha=36.9^{\circ}$

Now, if α = 37° then β (angle JLK) must be:

$37^{\circ} + \beta + 90^{\circ}=180^{\circ}$

$\beta=53^{\circ}$

Now, we can find the distance ML using again the tangent definition:

$tan(\beta)=\frac{24}{ML}$

$ML=\frac{24}{tan(53)}$

$ML=18$

The base of the triangle LKJ will be:

$b=32+ML=32+18=50$

Therefore, using equation (1) the area of △LKJ will be:

$A=\frac{50*24}{2}$

$A=600\: u^{2}$

The correct answer is c.

I hope it helps you!

5 0

3 years ago