2. Christine can bake cookies for a school bake sale to
raise money for the school's soccer team in 9 hours. If
her friend, Emily, on the soccer team helps her, it only
takes 4 hours. How long would it take Emily to bake the
cookies alone?

Answer:

The length of the arc between consecutive vertices is:

[tex]S=8.38\: in[/tex]

Step-by-step explanation:

The angle between consecutive vertices is 60°, it is because it forms an equilateral triangle.

Now, the length arc is defined as:

[tex]S=R\theta[/tex]

Where:

We see the angle is in grades, but we need to convert it to radians.

[tex]\theta=\frac{60^{\circ}}{360^{\circ}}(2\pi)[/tex]

[tex]\theta=1.05\: rad[/tex]

Finally, the length of the arc between consecutive vertices will be:

[tex]S=8*1.05[/tex]

[tex]S=8.38\: in[/tex]  

I hope it helps you!

Subtract 1/6 from 6/7

First rewrite the fractions to have a common denominator:

6/7 = 36/42

1/6= 7/42

Now you have 36/42 - 7/42 = 29/42

The pool is 29/42 full

Answer:

x = 135

Step-by-step explanation:

x = 9x15

= 135

x = 135

Answer:

Where do you get this soft drink?

Answer:

9 7/12

Step-by-step explanation:

you may have mis typed an answer or the answer choice has a typo

8 5/6 - 5 1/2 + 6 1/4 or 8.83333333 - 5.5 + 6.25 = 9.58333333 or 9 7/12

Answer:

[tex]\sqrt{180}[/tex] and [tex]6\sqrt{5}[/tex]

Step-by-step explanation:

The easiest way to solve this problem is to look at all the simplified radicals on the right. Then un-simplify them by bringing the coefficients under the radical. If the radican (value under the radical) of the radical on the right is equal to the radican on the left, then the two radicals are equal.

To un-simplify a radical, one will square the coefficients and then multiply that value by the current radican of expression. The result is the un-simplified value of the radical.

A.

[tex]3\sqrt{15}\\\\= \sqrt{15*(3)^2}\\\\=\sqrt{15*9}\\\\=\sqrt{135}[/tex]

[tex]\sqrt{45} \neq \sqrt{135}\\\sqrt{45} \neq 3\sqrt{15}[/tex]

B.

[tex]3\sqrt{5}\\\\=\sqrt{5*(3)^2}\\\\=\sqrt{5*9}\\\\=\sqrt{45}[/tex]

[tex]\sqrt{75} \neq \sqrt{45}\\\sqrt{75} \neq 3\sqrt{5}[/tex]

C.

[tex]9\sqrt{6}\\\\=\sqrt{6*(9)^2}\\\\=\sqrt{6*81}\\\\=\sqrt{486}[/tex]

[tex]\sqrt{54} \neq \sqrt{486}\\\sqrt{54} \neq 9\sqrt{6}[/tex]

D.

[tex]6\sqrt{5}\\\\=\sqrt{5*(6)^2}\\\\=\sqrt{5*36}\\\\=\sqrt{180}[/tex]

[tex]\sqrt{180}=\sqrt{180}\\\sqrt{180}=6\sqrt{5}[/tex]

Answer:

y = 10

Step-by-step explanation:

2 (4y - 7) = 66

8y - 14 = 66

8y = 80

y= 10

Answer:

Step-by-step explanation:

12.

the formula for the volume of a cone is V=1/3hπr²

549.5 = 1/3(21)(3.14)(x)^2

549.5 = 7(3.14)(x)^2

549.5 = 21.98(x)^2

549.5 = 21.98(x)^2

divide by 21.98 on both sides

25 = (x)^2

sqrt 25 = sqrt x^2

5 = x

13.

the formula for the volume of a sphere is V=4/3πr^3

v=4/3(3.14)9^3

v=4/3(3.14)729

v=(4.186)729

v=3052.08

14.

the formula for the volume of a sphere is V=4/3πr^3

523=4/3(3.14)r^3

523=4/3(3.14)r^3

523=(4.186)r^3

divide by 4.186 on both sides

124.92=r^3

cube root on both sides

4.998=r

round

5=r

Please mark brainliest this took me a while

Answer:

Answer: The remainder is 64.

Answer:

[tex]f(x) = {x}^{2} + 14x - 8 \\ factor \: = \: (x - 4) \\ x = 4 \\ f(4) = {4}^{2} + 14(4) - 8 \\ = 64 \\ remainder \: = \: 64[/tex]

Answer:

I would choose A as the right answer

Answer:

x = 8 tablets are needed to disinfect 4 quarts

Step-by-step explanation:

Write and solve an equation of ratios:

 1       2 tablets

----- = ---------------

  4             x

Cross-multiplying, we get x = 8 tablets are needed to disinfect 4 quarts

Answer:

8 tablets

Step-by-step explanation:

See attachment for reply.

If the ramps angle of inclination is 10 degrees. The length of the ramp to the nearest tenth of an inch is: 23 inches.

Using this formula

Sin10°=4/R

Where:

R=Length of the ramp=?

Let plug in the formula

R=4/Sin10°

R=4/0.173648

R=23.04

R=23 inches (Approximately)

Inconclusion the length of the ramp to the nearest tenth of an inch is: 23 inches.

Learn more about Length of the ramp here:https://brainly.com/question/3871090

the answer is C or it got to be D or B

Answer:

Next numbers: 1/4, 1/8

The pattern is that you're halving the numbers

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

(6x4)x3

24x3

72 there you go

Answer:

See below.

Step-by-step explanation:

Function A.

x  y

3  3

5  7

6  9

slope = (9 - 7)/(6 - 5) = 2

y = 2x + b

3 = 2(3) + b

b = -3

y = 2x - 3

Function A is y = 2x - 3

Function B.

(0, 3)

(-5, 0)

slope = (0 - 3)/(-5 - 0) = -3/-5 = 3/5

b = 3

Function B is y = 3/5 x + 3

Function C is 3x + 1

The rate of change of a linear function is the slope.

Answer:

Function B

Function A

Function C

Answer:

1.) 2

2.) -5

Step-by-step explanation:

The approximate solutions of the equations are

A, x = 1 and x = 4.2

To find the solution of a system of equations using a graph, you can Identify the point of intersection

Look for the point(s) where the graphs of the equations intersect. This point represents the solution(s) to the system of equations.

then read the coordinates of the point

From the graph, the x coordinates that gives the point of intersection can be traced to be x = 1 and x = 4.2

Learn more about graphical solutions at

https://brainly.com/question/19040584

#SPJ1

Answer: volume of the cube is (7 cm)^3= 343 cm^3

Answer:

<QRP=42 degrees

Step-by-step explanation:

Since the angles are sequential, they are the same. This is because the transversal cuts across parallel lines, creating said sequential angles.

Answer:

42 degrees since QS&TV are parallel

Answer:

55 stamps, 24 girls, and 60cm

Step-by-step explanation:

Big Brain

answer BD is 108

Step-by-step explanation:

60^2+x^2=85^2

3600+x^2=7225

×^2=7225-3600

×^2=3625

Sq root both sides

x= 60

60+48=108

BD=108

Answer:$1.08 cents.

Step-by-step explanation:

$6 - $4.52 = $1.08.

Answer:

y=11/4x-13/4

Step-by-step explanation:

Use the slope formula and slope-intercept form y=mx+b to find the equation.

Answer:

3 tens

2 hundreds

5 thousands

7 thousands

Answer: See explanation

Step-by-step explanation:

Since their goal was $550 for the entire week and the sale has lasted 4 days already and each day they raised about $135.50, the amount raised for the 4 days will be:

= $135.50 × 4

= $542.00

No, they won't make their goal by the 4th day.

The amount needed on the 5th day will be:

= $550 - $542

= $8

They'll need $8 on the 5th day.

9514 1404 393

Answer:

  730 grams

Step-by-step explanation:

1 kg is 1000 g.

The amount remaining is ...

  1000 g - 9(30 g) = (1000 -270) g = 730 g

Jake has 730 grams of olives left.

Answer:

Do the two data sets have approximately the same center? No.

Which data set has the greater spread? The first one.

Step-by-step explanation:

Hope it helps !!:)