A 175-foot tall monument is located in the distance. From a window in a building, a person determines that the angle of elevation to the top of the monument is 17°, and that the angle of depression to the bottom of the tower is 4°. How far is the person from the monument?

Answer:

47.50 so that is your assessment of the world in which the following was

Answer:

let the number to be added be x

X+(-11)=37x=48

now 48/(-12)=-4

now (-4)*(-8)=32

as per me 32 is the answer. 

Step-by-step explanation:

hope this helped!

Answer:

5 ≤ L ≤ 35

Step-by-step explanation:

Let w represent the width of the rectangle.

The perimeter (P) of the rectangle is given by:

P = 2w + 2L

Where L is the length of the rectangle.

We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:

100 ≤ 2(30) + 2L ≤ 160

100 ≤ 90 + 2L ≤ 160

10 ≤ 2L ≤ 70

We can now divide both sides by 2 to solve for L:

5 ≤ L ≤ 35

Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is:  5 ≤ L ≤ 35

Question:

Solution:

a) Consider the following equation:

applying the distributive property, we get:

now, putting all terms on one side of the equation, we get:

this is equivalent to:

Factoring this expression, we get:

according to the equation, we can conclude that the solutions for the given equation are:

and

b) Consider the following equation:

applying the quadratic formula:

where

a = 6,

b = 9

and

c = -22,

we obtain that the solutions of the given equations are:

and

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:

Step 1: Calculate the monthly interest rate.

The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):

Monthly interest rate = 9.5% / 12 = 0.0079167

Step 2: Determine the monthly payment.

The monthly payment is given as $400.

Step 3: Calculate the interest and principal paid each month.

The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.

Principal paid = Monthly payment - Interest paid

Step 4: Track the remaining balance each month.

Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.

Step 5: Repeat Steps 3 and 4 until the balance reaches zero.

Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.

Step 6: Determine the total number of months and the total amount paid.

Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.

Let's calculate the number of months and the total amount paid, including interest:

Month 1:

Interest paid = 0.0079167 * $1,367.90 = $10.84

Principal paid = $400 - $10.84 = $389.16

New balance = $1,367.90 - $389.16 = $978.74

Month 2:

Interest paid = 0.0079167 * $978.74 = $7.75

Principal paid = $400 - $7.75 = $392.25

New balance = $978.74 - $392.25 = $586.49

Month 3:

Interest paid = 0.0079167 * $586.49 = $4.64

Principal paid = $400 - $4.64 = $395.36

New balance = $586.49 - $395.36 = $191.13

Month 4:

Interest paid = 0.0079167 * $191.13 = $1.51

Principal paid = $400 - $1.51 = $398.49

New balance = $191.13 - $398.49 = -$207.36 (Paid off)

It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:

Total amount paid = 4 * $400 = $1600

Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

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Answer:

9000

Step-by-step explanation:

Answer:

A = 18

B = 88

C = 74

Step-by-step explanation:

Givens

B = 3*A + 34

C = A + 56

Equation

A + B + C = 180

Solution

A + 3A + 34 + A +56 = 180   Collect like terms

5A + 90 = 180                  Subtract 90 from both sides

5A = 180 - 90

5A = 90                            Divide by 4

A = 90 / 5

A = 18

Answer

B = 18*3 + 34 = 54 + 34 = 88

C = 74

Check

A + B + C = 18 + 88 + 74

A + B + C = 180 as it should.

The answer would be x=18. First you set it up by setting up an equation;

166=7x+40. Then you subtract 40 from each side. Last, you divide both sides by 7 and you should get x=166 or 166=x.  

The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.

The last payment amount is the result of the mathematical operations of subtraction and multiplication.

The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.

Using multiplication, the monthly payments are determined to be $3,400 for 17 months.  This is subtracted from the remaining balance to obtain the last payment amount.

The cost of a custom video game/virtual sound system = $4,210

Down payment = $100

The remaining balance for monthly payment = $4,110 ($4,210 - $100)

Payment period = 18 months (1¹/₂ years)

Monthly payments = $200

Payment for the first 17 months = $3,400 (17 x 200)

Last payment = $710 ($4,110 - $3,400)

Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.

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He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?

Answer:

C

Step-by-step explanation:

This means that there is another leg of an isosceles triangle that is also 5 inches.

a^2 + b^2 = c^2

a = 5

b = 5

c = ?

c^2 = 5^2 + 5^2                 Combine

c^2 = 25 + 25

c^2 = 50                            Take the square root of both sides.

sqrt(c^2) = sqrt(50^2)

c = sqrt(5 * 5 * 2)                Take out 1 of two factors under the root sign.

c = 5 * sqrt(2)                      The 2 is left over because there is only 1 of them

sqrt(2) = 1.4142

c = 5 * 1.4142

c = 7.07 = 7.1

9/16 square units is the calculated area of the region r using double integration.

The procedure where two variables, x and y, are involved and you must integrate with each of them is known as a double integral or double integration technique. The area of a given function beneath a curve is calculated using this integration method.

The area of a region, the volume below the surface, and the average value of a function of two variables over a rectangular region may all be determined using double integrals.

A two-variable function, f (x, y), integral over a region R is referred to as a double integral. Iterative integration may be used to get the double integral if R = [a, b] [c, d] (integrate first with respect to y, and then integrate with respect to x). The solution can be seen on the attached image below.

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Question correction:

See on the attached image.

Answer:

1: 1/2

2: 1

3: Assuming 2 medium triangles = 1 large triangle, then 2

Step-by-step explanation:

1: 2 small triangle makes 1 square. So, if we divide the area of the square (1 square unit) by 2 because 2 small triangles make 1 square, we get 1/2.

2: 2 small triangles makes 1 medium triangle, so using the above logic, 1/2 X 2 = 1.

3: Assuming 2 medium triangles = 1 large triangle, then the same thing applies. medium * 2 = 2

Answer:

- 5 and - 7

Step-by-step explanation:

-√44 = -6.63

we can interpret the value of   \(m'(12) = -15\) as the instantaneous rate of change of the amount of milk in the tanker truck, which is decreasing by 15 gallons per minute at time  \(t = 12\) minutes.

The expression "m'(12)" represents the derivative of the function m(t) with respect to time t, evaluated at t=12. Geometrically, the derivative represents the instantaneous rate of change of the function at the point t=12.

In this case, m'(12) = -15 means that at the time t=12 minutes, the rate of change of the number of gallons of milk in the tanker truck is -15 gallons per minute. This indicates that the amount of milk in the truck is decreasing at a rate of 15 gallons per minute at time t=12.

To calculate m'(12), you need to take the derivative of the function m(t) with respect to t and then evaluate the result at t=12. Assuming you have the expression for m(t), the steps are as follows:

Differentiate m(t) with respect to t:

\(m'(t) = d/dt [m(t)]\)

Evaluate  \(m'(t) at t=12:\)

\(m'(12) = m'(t=12)\)

Therefore, we can interpret the value of   \(m'(12) = -15\) as the instantaneous rate of change of the amount of milk in the tanker truck, which is decreasing by \(15\) gallons per minute at time t = 12 minutes.

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The closest to the number of pounds of  grass seed needed to cover this section of Bob's  property is 40 pounds.

His property is 600, 000 square inches.

The seed spreader Bob is using, distributes  approximately 16 seeds per square inch.

Each pounds of seeds has approximately 240, 000 seeds.  

The pounds of grass seed require to cover his property can be calculated below.

1 square inch requires  16 seeds

600, 000 square inch ? seeds

cross multiply

seed to cover his property  = 600, 000 × 16  = 9,600,000 seeds

since,

240, 000 seeds = 1 pound of seed

9,600,000 seeds = ?

pounds of seed to cover his property = 9,600,000 / 240, 000

pounds of seed to cover Bob's property =  40 pounds

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Answer:

y^2 = 2x + 6

2x = y^2 - 6

x = 1/2(y^2 - 6)

The points of intersection of the  curves are  calculated:

y + 1 = 1/2( y^2 - 6)

2y + 2 = y^2 - 6

y^2 - 2y - 8 = 0

( y - 4)(y + 2) = 0

y = 4, -2

when y = 4, x = 5 and when y = -2 x = -1.

Integrating between  y = 4 and y = -2

     4

     INT  [ ( y + 1 + 1/2 (6 - y^2) ]dy

     -2

=    4

    {   y^2 / 2 + y + 3y - y^3/6 }

 -2

= 13 1/3 - (-4 2/3)

13 1/3 + 4 2/3

= 18  answer.

Answer:

i think its 18.

Step-by-step explanation:

The statement that most accurately describes patterns of Irish immigration in the mid-19th century is: its peaked in approximately 1851. The Option D is correct.

Irish immigration to the United States in the mid-19th century was characterized by several factors:

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The correct answer is Option C. The proper decision, in this case, is  "Fail to reject H0. There is not enough evidence at the 1% level of significance to reject the claim."

The alternative hypothesis, in this case, is "μ1 ≠ μ2", as the claim being tested is that the two population means are equal.

To calculate the standardized test statistic, we can use the following formula:

Substituting in the values given in the problem, we get:

z = (18 - 20) / sqrt(((3.6^2) / 27) + ((1.4^2) / 26))

z = (-2) / sqrt((12.96 / 27) + (1.96 / 26))

z = (-2) / sqrt(0.481 + 0.075)

z = (-2) / sqrt(0.556)

z = (-2) / 0.746

z = -2.67

To calculate the P-value, we can use the standard normal table to look up the probability of getting a value of -2.67 or lower if the null hypothesis were true. The P-value in this case would be the probability of getting a value equal to -2.67 or lower, plus the probability of getting a value equal to 2.67 or higher.

Using the standard normal table, we find that the probability of getting a value equal to -2.67 or lower is 0.0039, and the probability of getting a value equal to 2.67 or higher is 0.9961. Therefore, the P-value is 0.0039 + 0.9961 = 1.0000.

Since the P-value is equal to 1.0000, which is greater than the level of significance α = 0.01, we fail to reject the null hypothesis.

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Answer: 27.1 cubic meters

Step-by-step explanation: The area for finding the volume of a pyramid is V=1/3 Bh, where B= base, and h=height. To substitute in the numbers from the problem, you get V=1/3 times 8.3 times 9.8. 9.8 times 8.3 is 81.34. 81.34 times 1/3 rounds to 27.1.

The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:

-5y = -375

1. Given equations:

  - x + 3y = 350    (Equation 1)

  - 2x + 4y = 625   (Equation 2)

2. Multiply Equation 1 by 2:

  - 2(x + 3y) = 2(350)

  - 2x + 6y = 700    (Equation 3)

3. Subtract Equation 2 from Equation 3:

  - (2x + 6y) - (2x + 4y) = 700 - 625

  - 2x - 2x + 6y - 4y = 75

  - 2y = 75

4. Simplify Equation 4:

  -2y = 75

5. To isolate the variable y, divide both sides of Equation 5 by -2:

  y = 75 / -2

  y = -37.5

6. Therefore, the resulting equation is:

  -5y = -375

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the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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Answer:

D

Step-by-step explanation:

why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.

x²

-x²

-x -x

x x x x (clearly that means 4x)

-1 -1 -1

1 1

so, we see it is D.

Answer:

30906012

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

10% of the Male students have blonde hair

we would expect m to be positive.

In this case, we're considering a formula of the form y = mx + b, where y represents the cost of a four-year college x years after 2010. The variable m represents the coefficient of x, which determines the slope of the line.

Since we're discussing the cost of college, it's reasonable to expect that it generally increases over time. Therefore, we would expect the coefficient m to be positive. A positive value of m indicates that as the number of years after 2010 increases (x), the cost of college (y) will also increase.

If m were negative, it would imply a decreasing cost over time, which is less likely for a four-year college. If m were zero, it would indicate that the cost remains constant regardless of the number of years after 2010, which is also unlikely given the rising trend in college costs.

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Walking the dog and getting a call on your cell phone are independent events.

What are independent and dependent event?

Dependent events are those events that are affected by the outcomes of events that had already occurred previously. i.e. Two or more events that depend on one another are known as dependent events.

Independent events are those events whose occurrence is not dependent on any other event. If the probability of occurrence of an event A is not affected by the occurrence of another event B, then A and B are said to be independent events.

According to the given question:

Let walking the dog be event A and getting a call on your cell phone be event B.

Clearly event A and B are not related in any way.

Hence Walking the dog and getting a call on your cell phone is an independent event.

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Answer:

The answer is 11. 2 is the remainder

Step-by-step explanation:

hope this helps

The customer who purchases 10 Microsoft 365 Business Premium licenses at $22 each per month, for a full year, then 6 months later decides they only need 5 licenses for the remainder of the year, would pay a total charge of $1,980 with a credit of $660 for the year.

The total charge the customer will pay is based on the difference between the total charge for the year and the prorated charge of credit for non-usage.

The charge per month for Microsoft 365 =  $22

The charge per month for 10 Microsoft 365 = $220 ($22 x 10)

The charge for 1 year for one Microsoft 365 = $264 (22 x 12)

The charge for 6 months for 10 Microsoft 365 = $1,320 ($220 x 6)

The charge for 12 months for 10 Microsoft 365 = $2,640 (220 x 12)

The prorated charge for 6 months for 5 Microsoft 365 returned = $660 ($2,640 x 5/10 x 6/12)

The initial total charge for the year = $2,640

The total credit for the year = $660

The total charge for the year = $1,980 ($2,640 - $660)

Thus, the customer will pay $1,980 after receiving a prorated credit for 5 returned licenses worth $660.

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