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3 years ago

Help: drag the simplified value in the box to match each expression

Mathematics

1 answer:

Ivahew [28]3 years ago

6 0

First one:
9
Second one:
3
Third one:
4

Hope this helps and good luckk u can do thissss :)

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What is 18 percent of 28 dollars

bixtya [17]

If something costs $28 and is on sale for 18% off, then how much would it cost?

5.04 U.S. dollars

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3 years ago

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A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

6 0

4 years ago

60000+7000+900 in short form

Vesnalui [34]

Solution : 6.79 x 10^4

3 0

3 years ago

7. If F(x) = f(g(x)), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5)=-2, gʻ(5) = 6.. Find F'(5)

serious [3.7K]

Answer:

I'm going to lay this out in a chart so it's a little easier to see:

F(x) = f(g(x))

x | f (x) | f ' (x) | g (x) | g ' (x)

--------------------------------------

-2 | 8 | 4 |

5 | | 3 | -2 | 6

Remember the chain rule, which says

(f (g (x))) ' = g ' (x) f ' (g (x))

When they ask for F ' (5), they are asking for (f (g (x))) ' when x = 5.

Using the chain rule, that's

F ' (5) = g ' (5) f ' (g (5))

We can simplify using the numbers provided.

F ' (5) = (6) f ' (-2)

F ' (5) = (6) (4)

F ' (5) = 24

I hope that helps!

by jannat <33

7 0

3 years ago

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Find the equation of the line with a slope of 12 that passes through the point (3, -1)

Anon25 [30]

Answer:

y = 12x - 37

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 12, thus

y = 12x + c ← is the partial equation

To find c substitute (3, - 1) into the partial equation

- 1 = 36 + c ⇒ c = - 1 - 36 = - 37

y = 12x - 37 ← is the equation of the line

3 0

3 years ago

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