An electrician leans an extension ladder against the outside wall of a house so that it
reaches an electric box 22 feet up. The ladder makes an angle of 66° with the ground.
Find the length of the ladder. Round your answer to the nearest tenth of a foot if
necessary.

Answer:

Step-by-step explanation:

Given,

Length ( l ) = 5 meters

Width ( w ) = \(6 \frac{3}{4} \) meters

Height ( h ) = \(3 \frac{1}{2} \) meters

Now, Let's find the volume of rectangular prism :

\(volume \: = l \: \times \: w \: \times \: h\)

plug the values

\( = 5 \times \frac{27}{4} \times \frac{7}{2} \)

Calculate the product

\( = \frac{5 \times 27 \times 7}{4 \times 2} \)

\( = \frac{945}{8} \)

\( = 118.13 \: {m}^{2} \)

Hope this helps..

Best regards!!

The pyramid has a volume of 1458.177 cubic centimeters.

In this problem we find a representation of a pyramid, whose volume must be determined. The volume formula of pyramid is shown below:

V = (1 / 3) · l² · h

Where:

Now we proceed to determine the volume of the solid:

V = (1 / 3) · (16 cm)² · √[(2√41 cm)² + (8√2 cm)²]

V = 1458.177 cm³

The volume of the pyramid is equal to 1458.177 cubic centimeters.

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There is only one person in the garden.

The given parameters are

So the number as per the riddle is that the yard and the garden are the same

So, it means that you killed 30 people and the other 4 people escaped from the backyard.

So if the other 4 people escaped, the implication is that only the killer is left in the garden

In conclusion, the killer should understand that out of fear, all that were not killed will run away and he will be left alone. This means that only the killer was left = 1 person

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The standard deviation of the number of heads seen when a fair coin is flipped 100 times is 5.

To calculate the standard deviation of the number of heads seen when a fair coin is flipped 100 times, we need to consider the binomial distribution. In this case, the number of trials (n) is 100, and the probability of success (p) is 0.5 since the coin is fair.

The formula for the standard deviation of a binomial distribution is given by:

Standard Deviation = √(n * p * (1 - p))

Plugging in the values, we have:

Standard Deviation = √(100 * 0.5 * (1 - 0.5))

                 = √(50 * 0.5)

                 = √25

                 = 5

Therefore, the standard deviation of the number of heads seen when a fair coin is flipped 100 times is 5.

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The value of x which makes the equation 4(5 - 7x) = 6 - 12x true is x = -1/2.

Given,4(5 - 7x) = 6 - 12xLet's simplify the equation to solve for x.20 - 28x = 6 - 12x20 - 6 = 12x - 28x14 = -16x.

Divide both sides by -16 to get the value of x.14/-16 = -7/8x = -1/2.

Therefore, the value of x which makes the equation 4(5 - 7x) = 6 - 12x true is x = -1/2.

The given equation is 4(5 - 7x) = 6 - 12x, where we are asked to find the value of x that satisfies the equation.

Simplifying the equation, we get 20 - 28x = 6 - 12x. Further simplifying the equation gives us 14 = -16x.

Dividing both sides by -16 gives us x = -1/2.

Therefore, the value of x which makes the equation 4(5 - 7x) = 6 - 12x true is x = -1/2.

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Answer:

t=7x3

t=21

Step-by-step explanation:

hope this helps you!!!

Answer:

21

Step-by-step explanation:  T/7= 3 so t= 7×3= 21

21÷7=3

Answer: 4.5 pounds

Explanation: To convert 72 ounces into pounds, we use the conversion factor for ounces and pounds which is 16 ounces = 1 pound.

Next, notice that we're going from a smaller unit, ounces, to a larger unit, pounds and when we go from a smaller unit to a larger unit, we divide. So here, we divide 72 by the conversion factor, 16, to get 4.5.

So 72 ounces equals 4.5 pounds.

Answer:

1/20

Step-by-step explanation:

Answer:

1/20

Step-by-step explanation:

100/5 = 20

1/20 is the simplest fraction

Answer:

x > -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-8x + 1 < 41

Step 2: Solve for x

Here we see that any value x greater than -5 would work as a solution to the inequality.

Answer:

x>-5

Step-by-step explanation:

so first u subtract 1 from both sides

-8x+1-1<41-1

becomes:-8x<40

then u divide  -8 on both sides

-8x/-8  <  40 /-8

x>-5

hope it helped!!

Answer: 16 inches

Step-by-step explanation: well, if you do 76/19, it gives you four, so the ratio is 1-inch costs 4 cents.

Then you just have to do 64/4, which gives you 16. You can buy 16 inches of wire with 64 cents

Answer:

i believe your answer is C. Rectangle

Step-by-step explanation:

I hope this helps! :D

maybe consider brainliest?

Answer:

The answer is of this question is 324.

Answer:

The old apple revels in its authority.

Answer:

The simplified version of (sec a - cosec a) / (sec a + cosec a)  is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given:

(sec a - cosec a) / (sec a + cosec a)

Multiply the numerator and denominator by (sec a - cosec a)

(sec a - cosec a) / (sec a + cosec a)  × (sec a - cosec a)

(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)

As we know,

\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)

sec² a cosec² a - 2sec a cosec a /  (sec²a - cosec²a)

sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)

cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)

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Answer:

The answer is the 3rd choice  

Step-by-step explanation:

For given average temperatures and °C=5/9°F-32 C represents temperature unit in celsius.

What is average?

In Maths, an average of a list of data is the expression of the central value of a set of data. Mathematically, it is defined as the ratio of summation of all the data to the number of units present in the list. In terms of statistics, the average of a given set of numerical data is also called mean. For example, the average of 2, 3 and 4 is (2+3+4)/3 = 9/3 =3. So here 3 is the central value of 2,3 and 4.  Thus, the meaning of average is to find the mean value of a group of numbers.

Average = Sum of Values/Number of Values

Also

Suppose, we have given with n number of values such as x1, x2, x3 ,….., xn. The average or the mean of the given data will be equal to:

Average = (x1+x2+x3+…+xn)/n

Now,

Given formula

°C=5/9°F-32, C represents  where °c is temperature unit in Celsius and

°F represents unit of temperature in Fahrenheit.

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a ) smaller is correct answer

The value of x in the equation is 23.

46 / x = 2

The equation above have one solution because the value of x is a single value.

46 / x = 2

cross multiply

2x = 46

divide both sides by 2

2x / 2  = 46 / 2

x = 23

A value of x that makes an equation true is 23, which when substituted into the equation and simplified makes the equation turn into x = 23.

A value of x that makes an equation false is 46, which when substituted into the equation and simplified makes the equation turn into x = 46.

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Hey there! :)

Answer:

x = 242 mm.

Step-by-step explanation:

Begin by setting up a proportion between the actual college building and the drawing.

\(\frac{22mm}{9m} = \frac{x}{99m}\)

Cross multiply:

99 × 22 = 9 × x

2178 = 9x

Divide both sides by 9:

2178/9 = 9x/9

x = 242 mm.

The derivative for y=eu(x); u(x) is a function in terms of x is dy/dx = eu'(x) + u(x)e .

A derivative is the rate of change of a function with respect to a certain variable . There are certain rules of differentiation which help us to evaluate the derivatives of some particular functions. :

This equation can be solved using the product rule of derivatives :

According to the product rule derivative of uv will be taken as -
                                             u(v)' + v(u)'
where (') represents derivative of the variable.

Therefore accordingly -
                                        y = eu(x)

                                    differentiating with respect to x
                                    dy/dx = e(u(x))' + u(x)(e)'
                                    dy/dx = eu'(x) + u(x)e     ( derivative of e=e)
Therefore the derivative in terms of x is dy/dx = eu'(x) + u(x)e .

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Answer:

number of child tickets sold on saturday is 21

number of adult tickets sold on saturday is 42

Step-by-step explanation:

Let's assume

number of child tickets sold on saturday is x

number of adult tickets sold on saturday is y

On saturday, twice as many adult tickets as child tickets were sold

so, we get

child admission is $6.30 and adult admission is $9.60

a total sales of $535.50

we get

now, we can plug y=2x

now, we can solve for x

now, we can find y

so,

number of child tickets sold on saturday is 21

number of adult tickets sold on saturday is 42.........Answer

Answer:

anybody agree that its c

Step-by-step explanation:

The lateral area of the cylinder is 64π cm², and the surface area of the cylinder is 192π cm².

The circumference of a cylinder is equal to 2πr, where 'r' represents the radius. In this case, the given circumference of 16π cm can be equated to 2πr. Solving for 'r', we find that the radius is 8 cm.

Since the height of the cylinder is half the radius, the height can be calculated as 8/2 = 4 cm.

To calculate the lateral area of the cylinder, we use the formula: Lateral Area = 2πrh, where 'r' is the radius and 'h' is the height. Substituting the values, we have: Lateral Area = 2π(8)(4) = 64π cm².

The surface area of the cylinder comprises the lateral area and the two circular bases. The formula for the surface area of a cylinder is: Surface Area = 2πrh + 2πr². Substituting the values, we have: Surface Area = 2π(8)(4) + 2π(8)² = 64π + 128π = 192π cm².

Therefore, the lateral area of the cylinder is 64π cm², and the surface area of the cylinder is 192π cm² ≈603.2 \(cm^{2}\)

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Question: A right cylinder has a circumference of 16π cm. Its height is half the radius. what's the lateral area and the surface area of the cylinder rounded to the nearest tenth?

Answer:

I just did this lesson and the answer is ...

L ≈ 201.1 cm2 ; S ≈ 603.2 cm2

Hope this helps! Have a good day. :)

Answer: 1.704 x 10^9

Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

5-2x

Step-by-step explanation: