What is the volume of a cone with the height of 5.5 and a radius of 4

Answer:

96

Step-by-step explanation:

3^4 = 81

3 . 5 = 15

81+15 - 96

Answer:

96

Step-by-step explanation:

3^4=3*3*3*3=9*9=81

81+3*5=81+15=96

Answer:

x=(-2/3)

Step-by-step explanation:

(9x+13)^2=49

√(9x+13)^2=√49

9x+13=7

9x+13-13=7-13

9x=-6

9x÷9=-6/9

x=-6/9

-6/9=-2/3

Answer:

x = -2/3; -20/9

Step-by-step explanation:

For the given triangle, the tan of angle A equals C.

Step-by-step explanation:

Step 1:

For the given triangle, the hiking route is represented by AB and the change in elevation is represented by BC.

So we need to calculate the value of BC for the given triangle

Step 2:

In the given triangle, the opposite side has a length of 'a' feet, the adjacent side has a length of 'b' feet while the triangle's hypotenuse measures 400 feet.

To calculate the opposite side of the triangle, we can use the sine of any angle in that particular triangle. The sine of a particular angle is the opposite side's length divided by the hypotenuse's length.

sin A = [tex]\frac{oppositeside}{hypotenuse}[/tex] .

Step 3;

The length of the opposite side = a,

The length of the hypotenuse side = 400 units.

[tex]\sin A=\frac{a}{400}, \sin 25^{\circ}=0.4226[/tex]. So

[tex]0.4226=\frac{a}{400}, a=0.4226 \times 400[/tex] = 169.04 feet.

So the change in elevation is 169.04 feet.

Step-by-step explanation:

A rational no. between 4.1 and √17=4.12

is 4.11 option a

Answer:

1. P(N) =  3/5

2. P(R) =  2/5

3. P(N and R) = 1/4

4. P(N or R) = 3/4

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Number of students in a high school senior class = 500

Number of students that regularly wear a necklace = 300

Number of students that regularly wear a ring = 200

Number of students that wear a necklace and a ring = 125

2. What is P(N), the probability that a senior wears a necklace?

Let's recall the formula of probability:

Probability = Number of favorable outcomes/Total of possible outcomes

Substituting with the real given values:

P(N) = 300/500 = 3/5 (Dividing by 100 numerator and denominator)

P(N) =  3/5

3. What is P(R), the probability that a senior wears a ring?

Substituting with the real given values:

P(R) = 200/500 = 2/5 (Dividing by 100 numerator and denominator)

P(R) =  2/5

4. What is P(N and R), the probability that a senior wears a necklace and a ring?

Substituting with the real given values:

P(N and R) = 125/500 = 1/4 (Dividing by 125 numerator and denominator)

P(N and R) = 1/4

5. What is P(N or R), the probability that a senior wears a necklace or a ring?

P(N or R) = P(N) + P(R) - P(N and R)

Substituting with the real given values:

P(N or R) = 3/5 + 2/5 - 1/4

P(N or R) = 5/5 - 1/4

P(N or R) = 1 - 1/4

P(N or R) = 3/4

The probabilities are:

P(N) = 0.6
P(R) = 0.4

P(N and R) = 0.25

P(N or R) = 0.75.

Let's solve the given probabilities step-by-step using the provided information.

Step 1: Calculate P(N)

The probability that a senior wears a necklace, P(N), is calculated by dividing the number of students wearing a necklace by the total number of students.

Step 2: Calculate P(R)

The probability that a senior wears a ring, P(R), is calculated similarly by dividing the number of students wearing a ring by the total number of students.

Step 3: Calculate P(N and R)

The probability that a senior wears both a necklace and a ring, P(N and R), is given directly in the problem.

Step 4: Calculate P(N or R)

The probability that a senior wears either a necklace or a ring is given by the formula:

Answer:

192 cm^3

Step-by-step explanation:

Volume for rectangular prism is V=l*w*h

V=8*4*6=32*6=192

So volume is 192 cm^3

1. D

2. D

3. c

4. A

5. C

I'm not 100% sure about these. Just letting you know.

Similar triangles may or may not be congruent.

1. The length of RS

Since U and V are the midpoints, then:

[tex]\mathbf{RS = 12 + 12}[/tex]

[tex]\mathbf{RS = 24}[/tex]

Hence, the length of RS is (d) 24

2. The value of x

This is calculated as:

[tex]\mathbf{SV = VT}[/tex]

So, we have:

[tex]\mathbf{2x = 11}[/tex]

Divide both sides by 2

[tex]\mathbf{x = 5.5}[/tex]

Hence, the value of x is (d) 5.5

3. The value of y

This is calculated as:

[tex]\mathbf{WT = WR}[/tex]

So, we have:

[tex]\mathbf{3y = 15.9}[/tex]

Divide both sides by 3

[tex]\mathbf{y = 5.3}[/tex]

Hence, the value of y is (d) 5.3

4. The value of UW

This is calculated as:

[tex]\mathbf{UW = 2x}[/tex]

So, we have:

[tex]\mathbf{UW = 2 \times 5.5}[/tex]

[tex]\mathbf{UW = 11}[/tex]

Hence, the value of UW is (a) 11

5. The value of UV

This is calculated as:

[tex]\mathbf{UV = RW}[/tex]

So, we have:

[tex]\mathbf{UV = 15.9}[/tex]

Hence, the value of UV is (c) 15.9

Read more about similar triangles at:

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The functions which will form the composite function G(F(x)) = 3(x + 1) are  F(x) = x + 1 and G(x) = 3x.

Given is a composite function,

G(F(x)) = 3(x + 1)

We have to find the functions G(x) and F(x).

G(F(x)) means that F(x) is substituted instead of x in G(x).

Let G(x) = 3x and F(x) = x + 1

In the composite function G(F(x)), F(x) = x + 1 is substituted in place of x in G(x).

So,

G(F(x)) = 3(x + 1)

Thus, F(x) = x + 1 and G(x) = 3x

Learn more about Composite Functions here :

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Final answer:

To find the composite function GF(x) from the given equation, identify the functions F(x) and G(x) and match them with the answer choices to determine the correct option, which is C.

Explanation:

The composite function GF(x) is calculated by substituting F(x) into G(x).

Identify F(x) and G(x) in the given equation, G(F(x)) = 3(x+1), which corresponds to F(x) = x+1 and G(x) = 3x.

Comparing them with the answer choices, the correct option is C. F(x) = 5x + 1 and G(x) = 3x.

Therefore, the composite function GF(x) is formed by F(x) = 5x + 1 and G(x) = 3x.

Answer:

If KC = 31 then KN = 33

Step-by-step explanation:

Answer:

V=3,140in3

Step-by-step explanation:

Answer:

13 +13 +14 ensures he is getting the smallest amount so its 14

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

It moves to the right 3 and up 2.

Answer:

Step-by-step explanation:

the answer would be 2/3

Answer:

6

Step-by-step explanation:

6+30=36

6^2=36

Answer:

the positive number is equal to  6.

Step-by-step explanation:

from the question which says A positive number is 30 less than its square. Find the number.

let the number be "n"

and the square of the number = n²

So, we have  the expression to be

n = n²-30

n ²-30 -n =0

Re-arrange the equation

n²-n-30=0

the factors of -30 are 5 and -6

so we have

(n+5)(n-6)=0

n+5 =0

n = -5

or

n-6 =0

n = 6

therefore the number can either be -5 or 6.

note we are asked to find the positive number , so the positive number is 6

Answer: It is already a decimal???

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the simultaneous equation

3x+4y=15. Equation 1

3x-y=30. Equation 2

Using elimination method

Sutract equation 2 from 1

Then, will have

3x-3x+4y--y=15-50. -×-=+

4y+y=-15

5y=-15

Divide Both sides by 5

y=-15/5

y=-3

From equation 2

3x-y=30

3x--3=30

3x+3=30

3x=30-3

3x=27

Divide both side by 3

x=27/3

x=9

Then, x=9 and y=-3

Answer:

x=7 y=-9

Step-by-step explanation:

Use a system of equations to solve.

3x-y=30 changes to y=-30+3x

This can then be substituted into the other equation.

3x+4(-30+3x)=15

solve for x

X=7

Now use 7 in the other equation.

y=-30+x(7)

y=-9

Answer: I think the answer is D too just saying cuz I’m not sure either

Step-by-step explanation:

Answer:

(52, 32 )

Step-by-step explanation:

Given the 2 equations

y = x - 20 → (1)

x + y = 84 → (2)

Substitute y = x - 20 into (2)

x + x - 20 = 84, that is

2x - 20 = 84 ( add 20 to both sides )

2x = 104 ( divide both sides by 2 )

x = 52

Substitute x = 52 into (1) for corresponding value of y

y = 52 - 20 = 32

Solution is (52, 32 )

Answer:

Exact Form:

tan(x)=5/3

Decimal Form:

tan(x)=1.¯6

Mixed Number Form:

tan(x)=12/3 mixed number

Step-by-step explanation:

Answer:

194

Step-by-step explanation:

Final answer:

To find the ground miles from a point below the plane to the radar station given the distance and angle of depression, use trigonometry to calculate the ground distance, which is approximately 107.2 miles.

Explanation:

The number of ground miles from a point directly below the plane to the radar station can be found using trigonometry. Given the distance from the plane to the radar station (160 miles) and the angle of depression (34 degrees), we can use the tangent function.

Calculate the distance on the ground using the formula: Ground distance = 160 x tan(34°).

Ground distance = 160 x tan(34°) ≈  160 x 0.67 = 107.2 miles.

Answer:

(6+x)(6-x)

Step-by-step explanation:

Use the difference of squares formula: a^2-b^2=(a+b)(a-b)

Here, a is 6 and b is x, so you just substitute it into the formula

Final answer:

To factor the expression 36 - x², we recognize it as a difference of squares and use the identity a² - b² = (a + b)(a - b) to get (6 + x)(6 - x).

Explanation:

The question involves factoring the expression 36 - x^2 as the product of two binomials. To factor this expression, observe that it has the form of a difference of squares. The difference of squares can be factored using the identity a² - b² = (a + b)(a - b). In this case, a^2 is 36 and b² is x², where a is 6 and b is x. Therefore:

36 - x² = (6² - x²) = (6 + x)(6 - x)

This is the factored form of the given expression as the product of two binomials.

Answer:

The Order of Magnitude for the number of issues of the New  York Times published each year is 2.

Step-by-step explanation:

Given that the newspaper publishes one issue each day and the year has 365 days, then it publishes 365 issues each year.

365 can be rewritten, with scientific notation, as: 3.65*10^2, which means it has 2 orders of magnitude (it is indicated in the exponent).

Answer:

(6, 2)

Step-by-step explanation:

Flipped is equivalent to mirrored, so on the other side of the y axis should be a mirrored point equally far from 0, which is -6 and the value for y should be the same: 2.

The coordinates (-6,2) when flipped on the y-axis become (6,2), as the process involves changing the sign of the x-coordinate while keeping the y-coordinate same.

The coordinates (-6,2) when flipped on the y-axis will become (-(-6),2), which makes it (6,2). To understand why, we can refer to the principle of reflection in mathematics. Reflection of a point about the y-axis implies changing the sign of the x-coordinate while keeping the y-coordinate same. Here, the x-coordinate is -6, and when we flip or reflect on the y-axis, it changes its sign. Therefore, -(-6) becomes +6. The y-coordinate remains the same. Hence, -6 2 flipped on the y axis becomes (6, 2).

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Answer:

Avg. monthly expenses are $1,481.83

Step-by-step explanation:

Just took the test :)

Chandra's average monthly expenses are calculated by adding her total annual expenses for each category and then dividing by 12, yielding an average monthly expense of $1,481.83.

To calculate Chandra's average monthly expenses, we first need to sum up all the expenses for each month and then divide by the total number of months (12).

Adding all these up gives us the total annual expense:

$852 (cell phone) + $12,300 (rent) + $300 (gym) + $300 (internet) + $850 (auto insurance) + $1,440 (gas) + $1,740 (food) = $17,782 total annual expense.

To find the average monthly expense, we divide by 12:

$17,782 / 12 months = $1,481.83

Therefore, Chandra's average monthly expenses are $1,481.83.

Answer:

Below.

Step-by-step explanation:

These reasons will probably be similar to the US conventions but not exactly the same ( I'm using the UK conventions).

1.  Given

2. Given.

3, Opposite sides of a parallelogram.

4. Opposite sides of a parallelogram.

5. This side is common to both triangles.

6.  The triangles are congruent  by 3 equal sides ( I think that is  SSS).

Answer: 0.84 as a fraction is 84/100

Greatest common factor is 4

Resulting fraction is 21/25

Addition of numerator and denominator of the resulting fraction is 46

Step-by-step explanation:

From the question, the sum of 0.8 and 0.04 is written as 0.8 + 0.04 = 0.84

Convert 0.84 to fraction = 84/100

The numerator and denominator in 84/100 are both positive integers.

The greatest common factor to the numerator and denominator is 4

Divide 84 by 4 = 21

Divide 100 by 4 = 25

Therefore, the resulting fraction is 21/25

Addition of 21 and 25 equals 46.

I hope this helps.

Answer:

The brand that is the best buy is D. Cousin Ben's Stuffing Mix 6 oz, because the cost per ounce is the lowest.

Step-by-step explanation:

For answering this question correctly, we need to calculate the cost per ounce to compare the four stuffing mix options available. Therefore,

Cost per ounce = Price/Number of ounces in the package

Proceeding with the calculations, we have:

A. Cook Top Stuffing Mix 6 oz. for $1.49. If we use the coupon the price would be $ 1.39.

Cost per ounce = 1.39/6

Cost per ounce = $ 0.23 (rounding to the next cent)

B. Cook Top Stuffing Mix 12 oz. for $2.99.  If we use the coupon the price would be $ 2.89.

Cost per ounce = 2.89/12

Cost per ounce = $ 0.24 (rounding to the next cent)

C. Saltridge Farms Stuffing Mix 6 oz. for $1.79.

Cost per ounce = 1.79/6

Cost per ounce = $ 0.30 (rounding to the next cent)

D. Cousin Ben's Stuffing Mix 6 oz. for $1.29.

Cost per ounce = 1.29/6

Cost per ounce = $ 0.22 (rounding to the next cent)

The brand that is the best buy is D. Cousin Ben's Stuffing Mix 6 oz, because the cost per ounce is the lowest.

Answer:

t = 1.1 sec for first time and then in

t = 3.9 sec

Step-by-step explanation:

The function for the height of the circus performers is:

[tex]h(t) = -16t^{2} +80t +32[/tex]

                             where t is seconds after launch

                                        h is height in feet

For calculating after how many seconds is the performer at 100 feet above the ground, we must equal the equation to 100 and to find t:

Then,

[tex]100 = -16t^{2} +80t+32[/tex]

[tex]0 = -16t^{2}+80t -68[/tex]

[tex]t = \frac{-80\ \pm \\\sqrt{80^{2}-4(-16)(-68) } }{2(-16)}[/tex]

t = 3.9 sec

t = 1.1 sec

Answer:

27

Step-by-step explanation:

5/3 = 45/X

X = 27

Answer:

27 Blue marbles

Step-by-step explanation:

3 Blue marbles = 5 Yellow marbles

x = 45

(x multiply by 5) = 45 x 3

5x = 135

x = 135/5

x = 27 Blue Marbles