What is the height of the cylinder in the diagram? Round your answer to the nearest whole number.

Answer:

The answer is -3/10

Step-by-step explanation:

Answer:

-0.3 or -[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

Separate the squares making it:

[tex]-\frac{\sqrt{9} }{\sqrt{100}}[/tex]

Square root them:

[tex]\frac{3}{10}[/tex]

Don't forget the negative

[tex]-\frac{3}{10}[/tex]

Answer:

A) The volume of figure 1 is 45 cm³ greater than the volume of figure 2

Step-by-step explanation:

Let's start by calculating the volumes of both figures

Figure 1

Rectangular prism

V = Bh

V = (15*6)(5)

V = (90)(5)

V = 450 cm³

Triangular prism

V = Bh

V = 1/2(3*15)(6)

V = 1/2(45)(6)

V = 1/2(270)

V = 135 cm³

Add them together, you get 585 cm³

Figure 2

Rectangular prism

V = Bh

V = (6*15)(5)

V = (90)(5)

V = 450 cm³

Rectangular pyramid

V = 1/3 Bh

V = 1/3 (15*6)(3)

V = 1/3 (90)(3)

V = 1/3 (270)

V = 90 cm³

Add them together, you get 540 cm³

Subtract 540 from 585 and get 45

Answer:

A) The volume of figure 1 is 45 cm³ greater than the volume of figure 2

Step-by-step explanation:

It’s Profit Just took the quiz

Probability of a the number will less than 4 is  [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

Given,

A die will be rolling.

To find the probability of a the number will less than 4.

Formula

Probability of an event = Number of possible outcomes ÷ Total number of outcomes

Here,

Less than 4 means =1,2,3 = 3 times

Total number of outcomes = 6

Hence,

Probability of a the number will less than 4 = [tex]\frac{3}{6} = \frac{1}{2}[/tex]

Answer:

10 Male

16 Female

Step-by-step explanation:

Answer:

The angle measure is 2700°

Step-by-step explanation:

Close wise rotation is positive.

Note that one rotation is equivalent to a revolution.

If one rotation = 360°

7.5 rotations will measure 360° ×7.5 which is equivalent to 2700°

Answer:

A

Step-by-step explanation:

If each balloon holds 2 oz of water, you can multiply 19 by 2 to find out how many ounces you'll need. 19*2 is equal to 38, but rounding up is 40.

The total amount of water needed by Pat for the balloon fight is 40 ounces.

The correct option is (A).

The mathematical branch known as arithmetic deals with the study and application of numbers and their relationships.

As per the given data:

The number of balloons needed for a fight is equal to 19.

The amount of water each water balloon holds is also given.

We have to find out the total amount of water needed by Pat for the balloon fight.

The amount of water each water balloon holds = 2 ounces

Total amount of water needed by Pat for the balloon fight:

= number of balloons needed for a fight × amount of water each water balloon holds

= 19 × 2

= 38 ounces (after rounding off to the tenths place, it's equal to 40)

= 40 ounces

Hence, the total amount of water needed by Pat for the balloon fight is 40 ounces.

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Answer:

13.4 feet

Step-by-step explanation:

a²+b²=c²

12²+6²=c²

144+36=[tex]\sqrt{180}[/tex]

=13.4

The length of the cable is 13.416 feet.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have one end of the cable is attached to the top of a flagpole.

The other end is attached 6 feet away from the base of the pole.

The flagpole height = 12 feet

As we can see in the figure it is a right angle triangle in which the:

The length of the base of the right angle triangle b = 6 feet

The length of the perpendicular l = 12 feet

From the Pythagoras theorem:

[tex]\rm Hypotenuse^2 = Base^2+Perpendicular^2[/tex]

Let's suppose the length of the cable is x feet

[tex]\rm x^2 = 6^2+12^2[/tex]

[tex]x^2 = 36+144 \Rightarrow 180[/tex]

[tex]\rm x = \sqrt{180}[/tex]

x = 13.416 feet

Thus, the length of the cable is 13.416 feet.

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Answer:

The answer is 10

Step-by-step explanation:

Equation to find the hypotenuse (c) is [tex]\sqrt{a^{2} +b^{2} }[/tex]

[tex]5^{2}[/tex] x [tex]2^{2}[/tex] = 100 (which is your [tex]c^{2}[/tex])

[tex]\sqrt{100}[/tex] = 10

Answer:

x= [tex]-5+2i, -5-2i[/tex] aka No Real Solution

Answer:

14

Step-by-step explanation:

14 out of 105= 7.5

4 out of 30= 7.5

Both numbers, 14 and 4, have the same ratio.

There are 14 small breed dogs in the shelter.

The question involves using proportional reasoning to predict the number of small breed dogs in a shelter. From the given sample of 30 dogs, 4 are classified as small breeds. To find the predicted number of small breeds in the entire shelter, we set up a proportion based on the sample proportion:

4 small dogs out of 30 total dogs (sample) = x small dogs out of 105 total dogs (shelter).

Solving for x gives us the predicted number of small breed dogs:

(4/30) * 105 = x

Calculate the value of x:

x = (4* 105) / 30

x = 420 / 30

x = 14

Therefore, based on the sample, we would predict that there are 14 small breed dogs in the shelter.

Answer:

x=7                  x=-1

Step-by-step explanation:

x^2 - 6x - 7 = 0

Factor

What two numbers multiply to -7 and add to -6

-7*1 =-7

-7+1 = -6

(x-7) (x+1) = 0

Using the zero product property

x-7 =0          x+1 =0

x=7                  x=-1

Answer: x is -1 & 7

Step-by-step explanation:

X2-6x-7=0

Quadratic equation

Variables of -7 that will give-6 are

-7 & +1

X2-7x+x-7=0

X(x-7) +1(x-7)=0

(X+1)(x-7)=0

X+1=0

X= -1 or

X-7=0

X= 7

Therefore,

X is either -1 & 7

Answer:

f^-1(x)= 9x+117

Step-by-step explanation:

hello :

let f(x) = y  so : y = 1/9 x-13

calculate : x       you have : 1/9x= y+13  so : x= 9(y+13)=9y+117

If f(x)=1/9x-13, then f^-1(x)= 9x+117

Answer:

The answer is 600

Step-by-step explanation:

V = A(h/3)

Answer:

700 joules

Step-by-step explanation:

Basically,

The KE formula is this KE=1/2mv^2

So we substitute the mass for m and the meters per second for v (velocity)

[tex]\frac{1}{2} (14)(10^2)[/tex]

Use PEMDAS, one half times 14 is 7

10 squared is 100,

100*7 = 700

Thanks me later :)

Answer:

$157.38 per day is used.

Step-by-step explanation:

Van distance 198

9km per L

198÷9=22L

Truck distance 620

6.2km per L

620÷6.2=100L

truck 100L

+van 22L

=122Lx1.29

=157.38

Daily fuel consumption is calculated for trucks and vans by dividing their respective average distances travelled per day by their averages distances travelled per litre. These amounts are multiplied by the respective numbers of each vehicle and then by the cost of fuel (£1.29 per litre) to give a total daily fuel bill of £1,517.04.

The first step in calculating the daily bill for the delivery company is to determine how many litres of fuel both the vans and trucks consume per day. To do this, divide the average distance travelled per day by the average distance travelled per litre for each type of vehicle.

For the vans, this would be 198 / 9 = 22 litres per day. For the trucks, 620 / 6.2 = 100 litres per day.

The company has 8 vans and 10 trucks, so the total daily fuel consumption would be: (8 * 22) + (10 * 100) = 176 + 1000 = 1176 litres.

The cost of fuel is £1.29 per litre, so the daily bill would be 1176 * £1.29 = £1,517.04.

Therefore, the delivery company's total fuel bill for one working day is £1,517.04.

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Answer:

10 units

Step-by-step explanation:

Divide the volume by the product of the length and height to calculate the rectangular prism's width.

1200 / 24 x 5 = 10 units

Answer:

6361.6 grams

Step-by-step explanation:

A chef at a restaurant uses 14 pounds of butter each day

Given;

16 ounces per pound

And

28.4 grams per ounces

Converting 14 pounds to gram;

14 pounds × 16 ounces/pound = 224 ounces

Then;

224 ounces × 28.4 grams/ounce = 6361.6 grams

The correct use of conversion factors will result in the cancellation of the unwanted units and retention of the desired unit.

Conversion factors are essential in unit conversions, allowing us to switch from one unit of measurement to another within the same system, such as U.S. customary units or the SI unit system. To use conversion factors effectively, one must ensure that the unit of measure they wish to convert from or to is correctly positioned in the conversion factor equation. For instance, when converting meters to centimeters, a factor of 1 cm/10-2 m or 100 cm/1 m is used because 'centi' means 10-2 in the SI unit system.

It is important to keep track of units being canceled during the conversion. If you have units in the numerator and denominator that are the same, they will cancel out, leaving only the desired unit. In the process of conversion, if the unit you want to convert is in the denominator of the original quantity, the conversion factor should have that unit in the numerator.

Choosing the right conversion factor and accurately performing the calculations are crucial. A proper conversion factor will cancel out unwanted units. Using an incorrect conversion factor without an opposing unit to cancel out will leave an unwanted unit in your answer, indicating an error in the process.

Dimensional analysis, which often involves conversion factors, simplifies the process of converting units and ensures that measurements within calculations are consistent. This technique is fundamental for scientific calculations and everyday applications, such as determining the appropriate unit to measure large volumes or distances.

Answer:

B) The median will increase.

Step-by-step explanation:

he original median was 35 and the new median is 36. The median will increase.

Answer:

5/6th

Step-by-step explanation:

Answer:

1240 yd²

Step-by-step explanation:

Answer: 1440 square units

Step-by-step explanation:

40 x 36

A = L x w

The heaviest bag has (1 + 1/8) lb more than the lightest bag.

By looking at the histogram, we can see that the heaviest bag weighs:

M = (5 + 1/2) lb

The lightest bag weighs:

m = (4 + 3/8) lb

Now we need to take the difference between these masses:

M - m =  (5 + 1/2) lb -  (4 + 3/8) lb = (5 - 4) lb + (1/2 - 3/8) lb

M - m = 1 lb + (4/8 - 3/8)lb = (1 + 1/8)lb

This means that the heaviest bag has (1 + 1/8) lb more than the lightest bag.

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Board:

Width = 3 feet = 3*12 = 36 inches

Height = 1 foot = 1*12 = 12 inches

36 in (board width) / 2 in (posit width) = 18

12 in (board height) / 2 in (posit height) = 6

Area = base * height

Area = 18 post-its wide * 6 post-its height = 108 post-its

Answer:16

Step-by-step explanation:I think

The equation 1/2(b + 14) = b + 14/2 simplifies to 14 = 14, suggesting that any value for b is a solution, and the equation is an identity.

The given equation is 1/2(b + 14) = b + 14/2. To solve for the variable b, we can perform algebraic operations. First, we recognize that the equation on the left side is already simplified, but we need to clarify whether the denominator 2 applies to the whole right-hand side or just to the 14 in the equation b + 14/2. Assuming it applies only to the 14, we can multiply both sides of the equation by 2 to eliminate the denominators:

After simplifying, we see that b on both sides cancels out, leaving us with an equality 14 = 14, which is always true. This means that the equation has infinitely many solutions, since any value of b will satisfy the equation. If the denominator 2 applied to the entire right-hand side (b + 14), then the equation is already balanced as written, again indicating that any value of b would be a solution.

This balance shows that the original equation represents an identity rather than a conditional equation with a specific solution.

Answer: I need to know the number for the slope. I know the y-intercept, which is b, but I need to know m (the slope) I can give you y = mx+6.

Step-by-step explanation:

Answer:

∠SRP and ∠QRP

∠TUR and ∠VUR

Step-by-step explanation:

Adjacent angles are angles that share a common side and have the same vertex. Here you need to see if each pair share a side and start at the same point.

∠SRP and ∠QRP: These are adjacent because they share the same vertex and side

∠TUR and ∠VUR: These are adjacent because they share the same vertex and side

∠QRP and ∠VUW: These are not adjacent because they do not share the vertex, only share a common side

∠TUR and ∠SRU: These are not adjacent because they do not share the vertex, only share a common side

Answer:

D. 31

Step-by-step explanation:

To find the mean of any group of numbers, you simply add up all the numbers and then divide by how many numbers there are.

Using a calculator or a pencil, add the following:

27 + 28 + 30 +28 + 28 + 31 + 29 + 33 + 28 + 28 + 31 + 33 + 41 + 41 + 25

= 461

The last step is to divide 461 by 15:

461/15 = 30.73

Round 30.73 to the nearest whole number and you get D. 31