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3 years ago

Is the following statement true or false?

Mathematics

1 answer:

Kazeer [188]3 years ago

7 0

Answer:

False

Step-by-step explanation:

Perpendicular angles create a 90°.

This is because two lines intersect to form a right angle,the lines are therefore perpendicular and creates a 90°.

Thank u.

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madreJ [45]

Answer:

72/18=4

Step-by-step explanation:

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3 years ago

Please answer the question please. The question is down below.

Phoenix [80]

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3 years ago

Find the dr/d(theta) for: r = (theta)sin(theta) + cos(theta)

maxonik [38]

$r=\theta\sin\theta+\cos\theta$

$\dfrac{\mathrm dr}{\mathrm d\theta}=\dfrac{\mathrm d(\theta\sin\theta)}{\mathrm d\theta}+\dfrac{\mathrm d(\cos\theta)}{\mathrm d\theta}$

By the product rule,

$\dfrac{\mathrm d(\theta\sin\theta)}{\mathrm d\theta}=\dfrac{\mathrm d(\theta)}{\mathrm d\theta}\sin\theta+\theta\dfrac{\mathrm d(\sin\theta)}{\mathrm d\theta}=\sin\theta+\theta\cos\theta$

and

$\dfrac{\mathrm d(\cos\theta)}{\mathrm d\theta}=-\sin\theta$

So we have

$\dfrac{\mathrm dr}{\mathrm d\theta}=\sin\theta+\theta\cos\theta-\sin\theta$

$\implies\dfrac{\mathrm dr}{\mathrm d\theta}=\theta\cos\theta$

4 0

3 years ago

A rectangular pool 18 meters by 12 meters is surrounded by a walkway of width x

vesna_86 [32]

Answer:

x=3 meters

Step-by-step explanation:

step 1

Find the area of the rectangular pool

$A=LW$

we have

$L=18\ m\\W=12\ m$

substitute

$A=18(12)=216\ m^2$

step 2

Find the area of rectangular pool including the area of the walkway

Let

x ----> the width of the walkway

we have

$L=(18+2x)\ m\\W=(12+2x)\ m$

substitute

$A=(18+2x)(12+2x)$

step 3

Find the area of the walkway

To find out the area of the walkway subtract the area of the pool from the area of rectangular pool including the area of the walkway

$A=(18+2x)(12+2x)-216$

step 4

Find the value of x if the area of the walkway equal the area of the pool

$(18+2x)(12+2x)-216=216$

Solve for x

$(18+2x)(12+2x)=432\\216+36x+24x+4x^{2}=432\\4x^{2} +60x-216=0$

Solve the quadratic equation by graphing

The solution is x=3 meters

see the attached figure

8 0

3 years ago

Jenny paid 1/4 of her car loan so far she has paid 900 dollars what was the total amount of the loan.

alex41 [277]

1/4 x 900 = 225.00
225.00 is the total

4 0

3 years ago