Sandra calculated the height of a cylinder that has a volume of 576(pie) cubic centimeters and a radius of 8 centimeters. Her work is shown below.

V=Bh
Step 1: 576(pie)= (pie)8^2h
Step 2: 576(pie) = 64(pie)h
Step 3: 576(pie)/64(pie) = 64(pie)/64(pie)h
Step 4: h=9(pie) cm

What error did Sandra make when calculating the height of the cylinder?
A. In step 1, she substituted into the volume formula incorrectly.
B. In step 2, she calculated 8^2 incorrectly. It should be 16 rather than 64.
C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.
D. Sandra calculated the height of the cylinder correctly.

Answer:

From the measure the picture provides us, we can conclude that the prism is a cube, which also tells us that all 6 sides of this prism have equal surface area, so we only need to calculate one of them and multiply the result by 6:

The surface area of one side of the cube should be: 2/3 . 2/3 = 4/9 (ft²)

The surface area of the prism should be: 4/9 . 6 = 24/9 = 8/3 (ft²)

A prism is a polyhedron composed of an n-sided polygon basis. The surface area of the prism is 8/3 ft².

A prism is a polyhedron composed of an n-sided polygon basis, a second base that is a translated duplicate of the first, and n additional faces, all of which must be parallelograms, connecting the two bases. All parallel cross-sections to the bases are translations of the bases.

Given the length of the side is 2/3 ft. Therefore, the surface area of the given prism can be written as,

The surface area of the prism = 6s² = 6(2/3)² ft² = 8/3 ft²

Hence, the surface area of the prism is 8/3 ft².

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Answer:

Output = input + 2

Step-by-step explanation:

Simple, take some values to figure it out.

When input is 0, output is 2

When input is 1, output is 3

When input is 2, output is 4

When input is 3, output is 5

There is one commonality between them:

The output is simply input + 2

Answer:

The answer is B

Step-by-step explanation:

Answer:

option B. square root of 3

Step-by-step explanation:

In the figure attached the length of one side of the cube is 1 cm.

In the triangle ABC, Side AB = 1 cm

Since side BC is the diagonal of 1 base of the given cube.

Therefore, mBC = [tex]\sqrt{1+1}=\sqrt{2}[/tex] cm

Now we have to calculate the length of diagonal AC.

AC = [tex]\sqrt{AB^{2}+BC^{2}}[/tex]

AC = [tex]\sqrt{1+2}=\sqrt{3}[/tex]

Therefore, option B. square root of 3 will the length of diagonal of the cube.

I believe the answer would be 659 feet. Take 42x3= 126 then 126x5 . I get 630 but that’s the closest I got ‍♀️

The total distance traveled by the Ferris wheel is D = 1,978 feet

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

The circumference of the Ferris wheel can be calculated using the formula:

C = πd

where d is the diameter of the wheel

C = π x 42 feet

C ≈ 131.88 feet

This means that for each rotation of the Ferris wheel, a passenger will travel approximately 131.88 feet

Since the Ferris wheel rotates 3 times per minute, the distance traveled by a passenger in one minute is

131.88 feet/rotation x 3 rotations/minute = 395.64 feet/minute

Therefore, during a 5-minute ride, a passenger will travel approximately

395.64 feet/minute x 5 minutes = 1,978.2 feet

Hence , the total distance is 1,978 feet

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Answer:

(-3,-4)

Look at attached pictures for work and the text below for the explanation of the work. The brown numbers represent the step number it is.

Step-by-step explanation:

Start by getting either the x or y values in both equations the same number but opposite sign. Ex 16 and -16. I did x. Then add the equations eliminating one variable, in mine it was x, and the solve for the other variable, in mine it was y. Then plug that variable back into one of the two original equations and solve for the other variable, in mine I solved for x.

ANSWER

The height is 30 feet

EXPLANATION

The volume of a cylinder is calculated using the formula;

[tex]V = \pi {r}^{2} h[/tex]

The diameter is 24 ft. This implies that the radius of the cylinder is 12ft.

We substitute known values to get:

[tex]4320\pi= \pi{(12)}^{2} h[/tex]

[tex]4320\pi=144 \pi h[/tex]

Divide both sides by 144π

[tex]h = 30ft[/tex]

What exactly is your question?

Answer:

i dont understand

Step-by-step explanation:

plz explain

5.19 is the answer x hope it helped

5.193 rounded to the nearest hundredth is 5.19.

Given is a decimal number 5.193 we need to round to the nearest hundredth,

To round a number to the nearest hundredth, you need to look at the digit in the thousandth place (two decimal places to the right of the decimal point).

In the case of 5.193, the digit in the thousandth place is 3. To round to the nearest hundredth, we follow the following rule:

If the digit in the thousandth place is less than 5, we round down (keep the same value).

If the digit in the thousandth place is 5 or greater, we round up (increase the value by 1).

Since 3 is less than 5, we round down.

Therefore, 5.193 rounded to the nearest hundredth is 5.19.

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Answer:

45 cubic inches

I hope this helped you : )

Step-by-step explanation:

To find the volume you must use the formula ( Volume = Length x Width x Height)

So, ( 5 x 3 x 3 = 45)

45 cubic inches, it’s just l*w*h

Answer:

2320 calories

Step-by-step explanation:

We are given the following information;

Carol;

8 slices of pizza

5 containers of skim milk

5 cups of fruit salad

Chick;

5 slices pf pizza

7 containers of skim milk

7 containers of fruit salad

We let x denote the calories in each slice of pizza and y the calories in each cup or container of fruit salad. Chicks calorie count can thus be represented by the following expression;

5x + 7(40) + 7y

5x + 7y + 280

We are also informed that chicks calorie count was 2500 and thus the following equation is formed;

5x + 7y + 280 = 2500

5x + 7y =2220. This will be our first equation

On the other hand, Carols calorie count can be represented by the following expression;

8x + 5(40) + 5y

8x + 5y + 200

We are also informed that Carols calorie count was 3070 and thus the following equation is formed;

8x + 5y + 200 = 3070

8x + 5y = 2870. This will be our second equation

Now, we have two sets of equation;

5x + 7y =2220

8x + 5y = 2870

We solve these simultaneously to determine the values of x and y;

We multiply the first equation by 8 and the second by 5 in order to eliminate x and solve for y;

40x + 56y = 17760

40x + 25y = 14350

Subtracting the second equation from the first yields;

31y = 3410

y = 110

We substitute this value in the first equation and solve for x;

5x + 7(110) = 2220

5x = 2220 - 770

5x = 1450

x = 290

Therefore, each slice of pizza contains 290 calories. Carol had 8 slices of pizza implying that her total calories count from pizza was;

8 * 290 = 2320 calories

Answer:

I believe the answer is 3

Pretty sure it's C.) 5

Hope I helped ¯\_(ツ)_/¯

She rode 1,836 miles in total.

The answer is A because “x” is the number of jeans purchased so it would be the price per jean times number of jeans being purchased

Answer: Answer is A

Step-by-step explanation:

This is true. A triangle can only have 3 sides.

true if it has for sides it can not be a triangle bc triangles have only 3 sides

Answer:

The measure of arc BG is 25°

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

so

m∠DFC=(1/2)[arc CD+arc BG]

we have

m∠DFC=40°

arc CD=55°

substitute and solve for arc BG

40°=(1/2)[55°+arc BG]

80°=[55°+arc BG]

arc BG=80°-55°=25°

Answer:

The measure of arc BG is 25°

Answer: 11.5

Step-by-step explanation:

To find the mean first add all the numbers then divide by the amount of numbers you added.

10 + 11 + 12 + 12 + 11 + 13 = 69

69/6 = 11.5

Answer:

[tex]mean=11.5[/tex]

Step-by-step explanation:

By definition the Mean is the average of a set of numbers.

In this case, we know that the ages in years of children on the swim team are  the following:

10, 11, 12, 12, 11, and 13

Then, to calculate themean age of a child on the swim team, we need to add up all the numbers and divide this by the total number of values in the set.

You can observe that there are six values. Then, the mean age of a child on the swim team is:

[tex]mean=11.5[/tex]

for surface area you find the area of a square face (11*9=99) but there are 2 square faces so it would be 2 lots of 99 (99*2=198)

then you find the area of the rectangle faces (12*9=108)

there are 4 rectangle faces so you would do 108*4=432

then just do 432 + 198 =630

so surface area is 630

for volume you do b*l*h

so just do 11*9*12

= 1188

so volume is 1188cm^3

Answer:

The volume of cone v= 113.04 cm³.

Step-by-step explanation:

Formula used to find volume of cone is:

[tex]v= \pi * r^2 * \frac{h}{3}[/tex]

where r is the radius and h is the height of cone.

In the given question we are given:

height h= 6 cm

diameter d= 6 cm

We know radius r = d/2 = 6/2 = 3 cm

so, volume will be:

[tex]v= \pi * 6^2 * \frac{3}{3}[/tex]

[tex]v= \pi * 36 [/tex]

[tex]v=113.04[/tex]

So, the volume of cone v= 113.04 cm³ given height h= 6cm and radius r= 3cm

Multiply the area of the base by the height

Answer:

C) multiply the area of the base by the height

Step-by-step explanation:

Prism is a three dimensional figures.

The volume of a prism calculated by multiplying the area of the base and  the height.

Volume of a prism = Base area * height.

For example:

Volume of a rectangular prism = base area * height = (lw)*h = lwh cubic units

Volume of a cube = Base area * height = (a*a)*a = a^2*a = a^3 cubic units

Volume of a cylinder = Base area * height = (πr^2)*h = πr^2 h

The answer is C) multiply the area of the base by the height

Answer:27

Step-by-step explanation:26/18=39/×

26x=702

×=27

Check the picture below.

Answer:

75

Step-by-step explanation:

75 × 75 = 5625

75² = 5625

Answer:

75

Step-by-step explanation:

5625 is a mult. of 5 so check 5s also mult. of 3 too.

45?no

75? yes

guess and check possible answers- it had to end in 5, multiple of  3.

There are different ways percent problems can be solved. One of the ways to solve a percent problem is by using proportion method.

By using proportion method, the set-up is the same, I.e.

[tex]\frac{Part}{whole}[/tex] = [tex]\frac{percentage}{100}[/tex]

In any given expression:

What number is 80% of 10?

It can be expressed as:

[tex]\frac{part}{10}[/tex] = [tex]\frac{80}{100}[/tex]

If we cross multiply, then we have:

10 x 80 = 100 x part

800 = 100 x part

[tex]\frac{800}{100}[/tex] = [tex]\frac{100}{100}[/tex] x part (800 cross out 100 to give 8 and 100 cross out 100)

8 = part

3 is what percentage of 6?

It can be expressed as:  

[tex]\frac{3}{6}[/tex] = [tex]\frac{percentage}{100}[/tex]

If we cross multiply, then we have:

3 x 100 = 6 x the percent

300 = 6 x the percent

[tex]\frac{300}{6}[/tex] = [tex]\frac{6}{6}[/tex] x the percent (300 cross out 6 to give 50 and 6 cross out 6)

50 = the percent

LEARN MORE:

KEYWORDS:

The proportion method is a way to solve percentage problems by setting up a proportion between the part and the whole.

The proportion method is a way to solve percentage problems. To use this method, you need to set up a proportion between the part and the whole.

For example, if you have a class with 35 students and 13 of them are wearing sandals, you can find the percentage of students wearing sandals by setting up the proportion: 13/35 = x/100. Then, you cross multiply and divide: 13 * 100 = 35 * x. Solve for x to find the percentage: x = 37%.

Answer:

1/6

Step-by-step explanation:

Candy = 5/6

5 people = 5/6

1 person

= 5/6 ÷ 5

= 5/6 x 1/5

= 1/6

Answer:

1/6

Step-by-step explanation:

im not sure of this but I think u have to subtract 37 from 12 and that is 25

I don't know e thats any helpful

Answer:  Timothy's answer is wrong

When you multiply factors, the product with a certain number of place values, the product should have the the sum of the number of place values.

35 has 2 digits.

51 has two digits.

2 + 2 = 4

1785 has 4 digits.

kx² + 8x + 8 = 0

We want this to have just one solution, we know this equation:

x = (-b ± √Δ)/2a

So if Δ = 0 we have just one solution.

Δ = b² - 4.a.c

0 = 8² - 4.k.8

0 = 64 - 32k

32k = 64

k = 2

2x² + 8x + 8 = 0

x² + 4x + 4 = 0

(x + 2)² = 0

x + 2 = 0

x = -2

The solution is -2.

The non-zero value of k for which the quadratic equation kx²+8x+8=0 has only one solution is '1'. This is arrived at by setting the discriminant of the quadratic equation (b² - 4ac) to zero and solving for 'k.'

The subject of this question is a mathematical concept known as a discriminant in a quadratic equation. A quadratic equation is generally in the form of ax²+bx+c = 0. The discriminant of the quadratic equation kx²+8x+8=0 is given by the formula b²-4ac, where 'a is the coefficient of x² (which is 'k' in this case), 'b' is the coefficient of x, and 'c' is the constant term. The discriminant must equal zero for the quadratic equation to have only one solution. Therefore, we have 8² - 4*k*8 = 0. Solving this equation gives k = 1, which is a non-zero value.

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Answer:

[tex]\large\boxed{B.\ a=8,\ b=4\sqrt5}[/tex]

Step-by-step explanation:

We have three similar triangles:

[tex]\triangle ABC\sim\triangle DBA\sim\triangle DAC[/tex]

therefore the sides are in proportion:

[tex]\dfrac{AD}{CD}=\dfrac{BD}{AD}[/tex]

We have AD = a, CD = 16 and BD = 4. Substitute:

[tex]\dfrac{a}{16}=\dfrac{4}{a}[/tex]              cross multiply

[tex](a)(a)=(16)(4)\\\\a^2=64\to a=\sqrt{64}\\\\a=8[/tex]

and other proportion:

[tex]\dfrac{AB}{BC}=\dfrac{BD}{AB}[/tex]

We have AB = b, BC = 16 + 4 = 20 and BD = 4. Substitute:

[tex]\dfrac{b}{20}=\dfrac{4}{b}[/tex]             cross multiply

[tex](b)(b)=(20)(4)\\\\b^2=80\to b=\sqrt{80}\\\\b=\sqrt{16\cdot5}\\\\b=\sqrt{16}\cdot\sqrt{5}\\\\b=4\sqrt{5}[/tex]

Option B is the correct option.

Condition for the similarity of two triangles,

"If two triangles are similar, corresponding sides of these triangles will be proportional"

From the picture attached,

ΔADC and ΔBDA are similar,

By the condition of the similarity, corresponding sides will be proportional.

[tex]\frac{DA}{BD}= \frac{DC}{DA}= \frac{AC}{BA}[/tex]

Substitute the measures given in the picture,

[tex]\frac{a}{4}= \frac{16}{a}= \frac{AC}{b}[/tex]

[tex]\frac{a}{4}=\frac{16}{a}[/tex]

[tex]a^2=64[/tex]

[tex]a=8[/tex]

Now apply Pythagoras theorem in ΔADB,

AB² = AD² + DB²

b² = a² + 4²

b² = 8² + 4² [Since, a = 8]

b = √80

b = 4√5

    Therefore, Option B will be the correct option.

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For this case we make a rule of three to find the cost of dairy products and vegetables.

$ 140 --------------> 1

x ------------------>[tex]\frac {1} {7}[/tex]

Where "x" represents the amount of money spent on dairy products.

[tex]x = \frac {\frac {1} {7} * 140} {1}\\x = 20[/tex]

So, I spend $ 20 on dairy products.

Now we have:

$ 140 --------------> 1

y ------------------> [tex]\frac {3} {20}[/tex]

Where "y" represents the amount of money spent on vegetables.

[tex]x = \frac {\frac {3} {20} * 140} {1}\\x = 21[/tex]

So, I spend $ 21 on vegetables.

Therefore, I spend $ 41 on vegetables and dairy products.

$ 140- $ 41 = $ 99

Spending $ 99 dollars on products other than vegetables and dairy products

Answer

$ 99

Answer:

The total volume of juice in a six-pack is [tex]254.3\ in^{2}[/tex]

Step-by-step explanation:

step 1

Find the volume of one can

The volume of the cylinder (can of juice) is

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=3/2=1.5\ in[/tex] ----> the radius is half the diameter

[tex]h=6\ in[/tex]

assume

[tex]\pi =3.14[/tex]

substitute

[tex]V=(3.14)(1.5)^{2} (6)[/tex]

[tex]V=42.39\ in^{2}[/tex]

step 2

Find the total volume of juice in a six-pack

Multiply the volume of one can by 6

[tex]42.39*(6)=254.3\ in^{2}[/tex]

The total volume of juice in a six-pack where each can is 6 inches tall and has a diameter of 3 inches is calculated using the volume of a cylinder formula. The total volume is 254.34 in³. This is achieved by calculating the volume of one can and multiplying by six.

To calculate the total volume of juice in a six-pack where each can is 6 inches tall and has a diameter of 3 inches, we first need to find the volume of one can using the formula for the volume of a cylinder, which is V = πr²h. Since the diameter is 3 inches, the radius (r) is half of that, which is 1.5 inches. Plugging the values into the formula, we get:

Therefore, the correct answer is 254.34 in³, which represents the total volume for a six-pack of juice cans.

Answer:

The medicine treats swelling

Step-by-step explanation:

"The control group does not receive any medication; the treatment group receives the medication. The patients in the treatment group show reduced signs of swelling. What can Andria conclude from this experiment?"

If she does not give placebo, which she should, then we can only conclude that the medication might be effective. Might, because the thought of the medicine fixing swelling might actually be what helps them.

This takes us to the next topic- placebo experiments.

Most good experiments, to elaborate, are "double blind," one group receives a placebo, and another the medication, and neither know which.

In this case, assuming that the placebo was ineffective, we can conclude that the medicine is effective in treating swelling.