Suppose a telephone pole 60 feet in height casts a shadow of length 80 feet. What is the angle of elevation from the end of the shadow to the top the pole with respect to the ground?

Answers

Answer 1
Answer: height = opposite side = 60 feet
shadow = adjacent side = 80 feet
angle = arc tangent (60/80) (or 3/4)
arc tangent (.75) = 36.87 Degrees






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In a certain country, the life expectancy of a woman born in 1995 was 80.2 years. Between 1995 and 2005, the life expectancy increased 0.4 year every 5 years.

Answers

The Equation of life expectancy is x- 0.4(2) = 80.2.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

The life expectancy of a woman born in 1995 was 80.2 years.

The life expectancy increased 0.4 year every 5 years.

So, from 1995 to 2005 there are two times the life expectancy increase.

let the lifeexpectancy by x.

Thus, the equation is

x- 0.4(2) = 80.2

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Answer:

a. L - 0.4(2)= 80.2 or L - 80.2 = 0.4(2) or 80.2 + 0.4(2) = L

b. No; The equations must be equivalent. They may look different, but all equations can be rewritten as L= 80.2 + 0.4(2).

Step-by-step explanation:

Suppose C and D represent two different school populations where C > D and C and D must be greater than 0. Which of the following expressions is the largest? Explain why. Show all work necessary.. . . (C + D)2. 2(C + D). C2 + D2. C2 − D2

Answers

Answer:

the largest is:   C^2+D^2

Step-by-step explanation:

We are given the expression C>D>0.

As C and D represent two different school populations. This means that C and D will be natural numbers.

C+D<2×(C+D)

Also C^2+D^2>C^2-D^2.

the largest among these expressions is  C^2+D^2


The question or the problem wants to choose among the following expression is the largest, base on the data presented in the problem, the possible answer among the following choices is C2+D2. I hope you are satisfied with my answer and feel free to ask for more 

The cost of 3 scarves is $47.25. What is the unit price?Thanks (this is not high school)

Answers

Answer:

1 scarf costs $15.75 (that is one expensive scarf!)

Step-by-step explanation:

$47.25 divided by 3 = $15.75

Hope I helped :)

Please consider Brainliest :)

Helpppppppp will give brainliest!

Answers

I am pretty sure it’s d

The ages of three brothers are consecutive even integers. Three times the age of the youngest brother exceeds the oldest brother's age by 48 years. What is the age of the youngest brother?

Answers

Answer:

28 years

Step-by-step explanation:

youngest brother's age = x

middle brother's age = x+2

oldest brother's age = x+4

3(x-2) = (x+2)+48

[simplify]

3x-6 = x+50

[add 6 to each side]

3x = x+56

[subtract x from each side]

2x = 56

[divide each side by 2]

x = 28

Final answer:

By forming an equation based on the information given in the question, we can deduce that the age of the youngest brother is 26 years.

Explanation:

Let's assume the youngest brother's age as 'x'. Since it's given that three brothers have **consecutive even integer** ages, the other two brothers' ages will be 'x+2' and 'x+4' respectively.

Per the question, three times the age of the youngest brother exceeds the oldest brother's age by 48 years, so we'll build an equation accordingly, which is 3x = x+4+48.

Now, let's simplify this equation: 3x = x+52. Subsequently, when we subtract x from both sides, we get 2x=52. Breaking it down further, we are left with x=26.

So, the age of the youngest brother is 26 years.

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How do you factor x squared plus 3x

Answers

x^2 + 3x = x (x+3)
factor the x out and you have x (x+3)