Using the image above, what is the measure of side GF?

Answer:

Volume of cylinder is 6285.71 square units.

Step-by-step explanation:

Given the radius of cylinder 10 units. The height is twice its radius. we have to find its volume.

r=10 units

⇒ Diameter, d = 20 units

Also given height is twice its radius.

⇒ Height=2(r)=2(10)=20 units

= 22/7 × 100×20

=22/7 × 2000

= 44000/7

= 6285.71square units.

hence, volume of cylinder is 6285.71 square units.

Answer:

use a volume calculator

Step-by-step explanation:

The number of more friends that Bobby need to call to help finish cleaning in time is 20 friends.

Let x represent number of more friends

Number of hours=8×(9+1)

Number of hours=8×10

Number of hours=80 hours

Hence:

10×2+2(10+x)=80

20+20+2x=80

Collect like terms

2x=80-40

2x=40

Divide both side by 2x

x=40/2

x=20 friends

Therefore the number of more friends that Bobby need to call to help finish cleaning in time is 20 friends.

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Step-by-step explanation:

=7¹⁵x 15-7¹⁴x 95/7¹⁶+7¹⁵x3

=1425×7²⁹/7¹⁶+7¹⁵×3

Answer:

x(x-2)=168

x=14

Step-by-step explanation:

Let the length of the rectangle be x.

width=(x-2)

x(x-2)=168

x^2-2x=168

x=14, x=-12 (rejected)

Answer:

(0,1) (1,-1)

Second graph on top row is your answer.

Step-by-step explanation:

Answer:

for every minute she walked 200 steps so 200= 1

X+9/X+4

Step-by-step explanation:

(x ^ 2 + 5x - 36)/(x ^ 2 - 16)

=(X+4)(X+9)/(X+4)(X-4)

=(X+9)/(X+4)

Answer:

22.5 feet

Step-by-step explanation:

volume of a retangular shape: l*w*h

4.5*2.5*2=22.5

Answer: When Rebecca Hodges sent her son to Pre-K in Brooklyn, she was excited for the year to come—full of learning adventures and making new friends. While his education got off to a strong start, Hodges quickly realized something was wrong.

Her son, just five years old, was gaining an alarming amount of weight. Within 6 months, he had gained 11 pounds and his body mass index went from the 60th to the 98th percentile. He began having trouble breathing and sleeping at night. “His diet at home, which was low in sugar, did not change,” she said. “When I brought him to the pediatrician and we started asking him questions about what he was drinking and eating, we realized this was happening because of school.”

Hodges discovered her son was drinking two boxes of chocolate milk a day, each with 20 grams of total sugar, 12 grams of natural sugar from lactose and 8 grams of added sugar. Those 8 grams of added sugar add up to almost one third of a child’s daily sugar allowance according to the American Heart Association and the World Health Organization, which both recommend that children limit sugar to 5 percent of their daily intake —about 6 teaspoons or 25 grams — of added sugar per day.

Hodges’s son is far from a unicorn in the classroom. He is just one of thousands of children growing sick from sugar in a country where the obesity epidemic has reached epic rates and shows no signs of slowing down. Health-care costs related to obesity in this country topped $1.72 trillion dollars in 2018.

In the state of New York, childhood obesity has tripled over the past three decades. In New York City, 40 percent of NYC public school students aged 6 to 12 are overweight or obese. While NYC’s overweight and obesity numbers have been relatively constant over the last 5 years, in communities with underserved populations obesity is on the rise.

Childhood obesity disproportionately affects low-income communities and communities of color. In New York City, children living in the Bronx have the highest prevalence of overweight (43 percent vs. 4 percent in Brooklyn, 40 percent in Staten Island, 39 percent in Queens, 38 percent in Manhattan).

According to the Youth Risk Behavior Survey by the CDC, compared to New York City students, a higher proportion of East and Central Harlem students are overweight and obese. Thirty-five percent of East and Central Harlem students in grades 9-12 are overweight and obese compared to 28 percent in NYC. Obesity rates in low income East Harlem are higher than what they are on the wealthier Upper East Side, just a few short blocks away.

Additionally, according to research reported in Obesity Reviews, obese children and adolescents were approximately “five times more likely to be obese in adulthood than those who were not obese.”

Research also suggests that consuming sweetened beverages such as chocolate milk every day can train a child’s palate to prefer sugar-sweetened foods.

In response, more and more school districts have been removing chocolate milk from their menus. Chocolate milk is banned in Boulder, Minneapolis, Washington D.C., Montgomery County, Maryland, and most recently, San Francisco.

Even New York City’s Department of Corrections (DOC) has phased out sugar-sweetened beverages because of their ties to costly obesity-related diseases. Ten years ago DOC Commissioner Martin Horn told Gothamist, “the move will save money in the long run because healthier inmates will be less prone to strokes, heart attacks or diabetic shock on the city’s watch.” Today, the DOC bans both chocolate milk and juice. And yet, NYC’s Department of Education (DOE) continues to serve chocolate milk (and juice) to 1.1 million children a day. In fact, out of the 1,866 schools within the DOE, only 198 schools opted out of serving chocolate milk in FY 2019.

Rumors have been circulating that DOE may remove chocolate milk from public schools, but it’s deputy press secretary Avery Cohen, would not confirm. She offered this statement: “Our priority is the health and well-being of our students, and every day, we offer a variety of healthy food options that exceed USDA standards. We’ll continue to work with the Department of Education and Department of Health to ensure our meals are nutritious.”

Instead of eliminating chocolate milk as a public health policy, the DOE has outsourced chocolate milk decisions to principals, who may choose to stop serving it in their individual schools. This shifts a huge burden to educators, who want to keep peace with parents of differing views, and who are presumably not health professionals.

The volume of the given shape will be equal to V=2827.42 cubic inches.

The volume is defined as the space occupied by the object in the three-dimensional plane. It requires three coordinates to find the volume of any object.

Here it is given in the question that:-

Radius of the semicircle=12 inches

Height of the cylinder =13 inches.

Now the volume will be calculated as:-

Total volume of the figure will be the sum of the Volume of the semicircle and the Volume of the cylinder.

= 2πr³+πr²l

= 2xπx(6)³+πx(6)²x13

=1357.16+1470.26

=2827.42  Cubic inches                      

Hence the volume of the given shape will be equal to V=2827.42 cubic inches.

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Answer:

I think 2 but sorry if I'm wrong

Step-by-step explanation:

The circumference of the circle based on the equilateral triangle is 63mm.

The side of the triangle is 20mm. The radius will be:

= 20/2 = 10

The circumference of the circle will be:

= 2πr

= 2 × 3.14 × 10

= 63

In conclusion, the circumference is 63mm.

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Answer:

a cone with a circumference of about 63 mm

Step-by-step explanation:

By imagining the triangle rotating around the line in the middle, we can see that the triangle will create a cone, not a cylinder.

If one side of the triangle measures 20 mm, then the radius at the base of our cone will be 10 mm. (20 mm is the diameter and the radius is half of that.)

Use 2πr to solve for the circumference and it comes out to 63.

Thus, the rotated triangle will created a cone with a base circumference of about 63 mm.

Answer:

No, it is not

Step-by-step explanation:

If you substitute 4 for x, the answer is 14. 14 does not equal 10. Therefore, it is not a solution.

Answer:

the darkest shaded one.

Step-by-step explanation:

because the two areas for possible answers both intersect at that area, therefore, that is the answer.

Answer:

Step-by-step explanation:

Answer:

the answer to this question is 5½

The area of the given trapezoid ABCD in the image shown is calculated as: 54 units²

Area of a trapezoid = 1/2(a + b)h.

Given the following:

Area of triangle ACD = 1/2(AD)(CK) = 30 units²

1/2(10)(CK) = 30 units²

5(CK) = 30

CK = 6 units (altitude of trapezoid ABCD)

Area of the trapezoid = 1/2(a + b)h = 1/2(10 + 8)6

Area of the trapezoid = 54 units²

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Answer:

The expression is not factorable with rational numbers.

Except if you made a typo in your equation and it's x^2-4x-12

calculation:

-6x2=12

-6+2=-4

Then the answer will be (x+2)(x-6)

Answer:

0.71 m²

Step-by-step explanation:

base = b = 0.75 m

altitude= h = 1.9 m

   [tex]\boxed{\text{\bf Area of triangle = $\dfrac{1}{2}b*h$}}[/tex]

                                   [tex]\sf = \dfrac{1}{2}*0.75*1.9\\\\ =0.7125\\\\ = 0.71 \ m^2[/tex]

Answer:

C

Step-by-step explanation:

Because xyx-x=483=s739

x,y=rx,ry

Answer:

A = 1/2 width × height

width = n + 3 cm

height = width - 9 cm

height = n + 3cm - 9cm

height = n - 6cm

A = 1/2 width × height

= 1/2 (n + 3cm) × (n - 6cm)

45cm^2 ×2 = n^2 - 3ncm - 18cm^2

n^2 - 3ncm - 18cm^2 - 90cm^2 = 0

n^2 - 3ncm - 108cm^2 = 0

Find two numbers that their sum is -3 and their product is 108. Therefore, the numbers could be -12 and 9

n^2 - 3ncm - 108cm^2 = 0

n^2 - 12ncm + 9ncm - 108cm^2 = 0

n(n - 12cm) + 9cm(n - 12cm) = 0

(n - 12cm) (n + 9cm) = 0

Either (n - 12cm) = 0 or (n + 9cm) = 0

n = 12cm or n = -9cm

but n = -9cm is invalid because there is no negative distance.

n = 12cm is the answer

Since there are 10 bacteria, the amount of bacteria after 2 minutes is 2560 bacteria

To answer the question, we need to know what rate is

A rate is the amount per unit time of a quantity.

Let A₀ = initial amount of bacteria.

Given that the amount of bacteria doubles every 15 seconds, we have that the amount of bacteria left is

A = 2ⁿA₀ where

Given that

So, substituting the values of the variables into the equation, we have

A = 2ⁿA₀

A = 2⁸ × 10

A = 256 × 10

A = 2560 bacteria

So, the amount of bacteria after 2 minutes is 2560 bacteria

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Answer:

The answer is: 4(8a+7) I think...

Have a nice day

Answer:

the surface area would be 353 in for the pyramid

Step-by-step explanation:

[tex]\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]

l=12 cm; b=6 cm. What is the area?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

[tex]\sf{Formula\:for\:Area:-}[/tex]

[tex]\rule{300}{1}[/tex]

Answer:

yes every person has an equal chance of being selected

Step-by-step explanation:

im using long division

982 divided by 43 equals 22 with a reminder of 36.

Answer:

4560

Step-by-step explanation:

There are 3 zeros in 1000. If you are multiplying, move the decimal place over however many places to the right that there are zeros. For example,

4.56 x 1000

45.6 x 100

456 x 10

4560 x 1

We moved the decimal place to the right one every time we removed a zero.

This method is extremely useful for multiplying by 1, 10, 100, etc.

Hope this helps!

(This method is an easy yet complicated way to multiply by)

The association as shown by the scatter plot is strong and negative,

A scatter plot is a system of presenting data on the two axes of a cartesian plane.

In this case, we can see that the number of cellphone users decreases as population decreases hence the association is strong and negative.

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Answer:

Strong, positive, the same

Step-by-step explanation:

The association between the population and the number of cellular phone users is strong and positive. If you were to add the following data to the scatter plot, the association would be the same.

Answer:

James invested $160,000

Step-by-step explanation:

- In total, they needed $480,000 to start the business

- 1:2 ratio means one of them payed double the amount than the other

so the expression would be,

2x + x = 480,000

Let x represent how much they each need to invest

the expression can be simplified to,

3x = 480,000

now you need to get x alone, this would be done be dividing both sides by 3

[tex]\frac{3x}{3} = \frac{480,000}{3}\\x = 160,000[/tex]

James invest $160,000

Michael invest $160,000 x 2 = $320,000

and if you add them together, you get the total amount

$320,000 + $160,000 = $480,000

Let me know if you have any questions !