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3 years ago

6

There are 56 students going on a field trip to the science center. The students tour the center in groups of 8 how many groups o

f students are there

1 answer:

S_A_V [24]3 years ago

3 0

Answer:

There would be 7 groups of students because 56 divided by 8 students gives you 7 groups.

Step-by-step explanation:

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A map of your town has a scale of 1 inch to 0.25 mile. There are two roads that are 5 inches apart on the map. What is the actua

tatiyna

If 1 inch is .25 miles then all you have to do is multiply .25 miles by 5 inches and u get 1.25 miles.

4 0

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

so

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

3 years ago

Simplify the expression.<br><br><br> 5(2) + 2(4 + 3)<br><br> 21<br> 24<br> 84<br> 140

Leona [35]

Answer:

24

Step-by-step explanation:

5(2) + 2(4 + 3)

5 x 2 + 2 x 7

10 + 14 = 24

Here you go! :D

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2 years ago

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What is the mslope and y-intercept

attashe74 [19]

Step-by-step explanation:

the y intercept is where 0= x

(0,y)

m is 5

7 0

3 years ago

a)express x^2+12x+11 in the form (x+p)^2+q b)A curve has equation y=x^2+12x+11. What are the co-ordinates of the turning point o

sveticcg [70]

a) (x+6)^2-25

b) (-6, -25)

Step-by-step explanation:

Perfect square trinomial! If you have 12x, divide by two and get 6, so we have (x+6)^2+q. Then solve for q. You get q as -25.

For b, we just take the vertex from vertex form. We get x+6=0 so x=-6, and q = -25, so the answer is (-6, -25).

Hope that helped,

-sirswagger21

4 0

3 years ago