If you add up all the monthly incomes, you get 1590. If you divide 1590 by 6 (the number of the months), then you get the answer: $265.
Edit: my bad, I read the question wrong, the answer is $254.17
To estimate the height of a mountain above a level plain, the angle of elevation to the top of the mountain is measured to be 32°. One thousand feet closer to the mountain along the plain, it is found that the angle of elevation is 35°. Estimate the height of the mountain.
To estimate the height of a mountain using angles of elevation from two points, set up a system of trigonometric equations based on right triangles and solve for the height using algebra.
To estimate the height of a mountain given two angles of elevation at different points, we use trigonometric concepts. At the first point, the angle of elevation is 32°, and at a point 1000 feet closer, the angle is 35°. To solve this, we can set up two right triangles that share the same height (the mountain) but have different base lengths. Denote the height of the mountain as h, the distance from the first observation point to the base of the mountain as d, and use the trigonometric tangent function:
Tan(32°) = h / d
Tan(35°) = h / (d - 1000)
This creates a system of two equations with two variables. We solve for h by manipulating the equations to isolate h and substituting into one of the equations. We can use trigonometric tables or a calculator to find the values for Tan(32°) and Tan(35°), and then solve for the distance d, which subsequently allows us to find the height h by simple algebraic rearrangement.
How is the quotient 80000 divided by 2000 different from the quotient 80000divided by 200 or 80000 divides by 20
The difference in quotients arises because dividing by smaller numbers results in larger quotients. For example, 80,000 divided by 2,000 equals 40, while dividing by 200 equals 400, and by 20 equals 4,000.
To understand this, let's calculate each quotient step-by-step:
80,000 divided by 2,000:The differences in results are due to the different divisors. As you divide by smaller numbers, the quotient increases because each division breaks the total into more parts.
Division and multiplication are closely related; dividing by a number is the same as multiplying by its reciprocal.
Summary
The fundamental concept here is that dividing by a larger number results in a smaller quotient, whereas dividing by a smaller number results in a larger quotient. This difference is evident when comparing the quotients of 80,000 divided by 2,000 (40), 200 (400), and 20 (4,000).
can someone please tell me what that little 3 means?
f(x)=-2x^4+13x^3-25x^2+8x+12
Please help. Explain using complete sentences
Describe how the formula to find perimeter of a rectangle is an application of the Distributive property
The perimeter of a rectangle is an application of the Distributive property is shown below.
What is Distributive Property?The dividing Property it is necessary to multiply each of the two integers by the factor before performing the addition operation when a factor is multiplied by the sum or addition of two words.
This property can be stated symbolically as: A ( B+ C) = AB + AC.
Given:
As, we know the perimeter of a rectangle is twice the sum of its length and width.
let length of rectangle be 'l' unit and width of rectangle is 'w' unit.
So, the Perimeter of rectangle =2L+2W
= 2(L+W)
Here, 2 is distributed over length of width in parenthesis.
Learn more about Distributive Property here:
https://brainly.com/question/5637942
#SPJ2
Am I doing this right?
16,14=4
15,35=5
24,32=4
27,63=9
20,80=20
18,38=2
14,49=7
66,99=33
9,35=1
6,24,42=6
30,50,70=10
32,48,96=12
10w,5w=5
16xy,24xy=8
21ab,35a=7
10jk,15k=5
3mn,9mn,12mn=3
6xy,9x,3y=3
The attendance at a baseball game was 400 people.student tickets cost $2 and adult tickets cost $3.Total tickets sales were $1050.how many tickets of each type were sold
To find the number of student and adult tickets sold at a baseball game, we can set up a system of equations using the given information. Solving the system of equations will give us the values of the variables. In this case, 150 student tickets and 250 adult tickets were sold.
Explanation:Let's assume that the number of student tickets sold is 'x' and the number of adult tickets sold is 'y'.
According to the information given, the total attendance was 400 people, so we can write the equation: x + y = 400.
The total ticket sales were $1050, so we can write another equation: 2x + 3y = 1050.
Now we have a system of equations that we can solve to find the values of x and y.
Using substitution or elimination method, we find that x = 150 and y = 250.
Therefore, 150 student tickets and 250 adult tickets were sold.
Learn more about Tickets sales at a baseball game here:https://brainly.com/question/31368569
#SPJ2
How many distinct triangles can be formed for which m∠E = 64°, g = 9, and e = 10?
Answer:
How many distinct triangles can be formed for which m∠E = 64°, g = 9, and e = 10?
⇒ 1 triangle(s)
How many distinct triangles can be formed for which m∠J = 129°, k = 8, and j = 3?
⇒ 0 triangle(s)
Answer:
The first one is 1. The second one is 0.
Step-by-step explanation:
I just did it and got it right.
math question down below
Any of these will help???? Please help me
Jacob put 2/18 tablespoons of oil into the bowl. Then he put 1 2/8 tablespoons of milk into the bowl. How much liquid did Jacob put into the bowl?
Please Help Fast!!
Only answer if you are positive you know the answer, and explain why you choose that answer.
Solve for X.
X^3=1/27, or it could be worded as, X to the third power = 1 over 27
If 6>10, then 8 x 3=24 true or false
evaluate 16/6 - 2/9
4 2/3
1 5/9
2 2/3
2 4/9
A tape costs $4 less than the CD. Okasha bought 1 CD in five tapes. If the total cost was $70 what was the price of the CD ?
A photocopy clerk copies 80 pages in 4 min. How much time will he take to copy 200 pages?
If rectangle ABCD is rotated counter clock wise 90º about the origin, what will be the coordinates of the vertex D'?
Please help me, its for a Program through a college and I need a lot of help.
Find the distance, to the nearest tenth, from T(6,-5) to V(-2,6).
A.) 1.7 units
B.) 3.0 units
C.) 8.3 units
D.) 13.6 units
3 1/4 + 2/3 = ? HELP NOW PLEASE!!!!!!!!!!!!
4 divided by 29.5 and how
Mixed multiplication problems.PLEASE SHOW THE WORK THANKS
Place -1.25,0.1,2.9,-2.6 on a number line
8(3m+5)=2m-4 and plz show how you got it
The function f (x) varies directly with x and f (x) =90 when x=30
what is f (x) when x=6
2
5
15
18
Which pair of numbers is relatively prime? A. 14 and 81 B. 14 and 35 C. 14 and 91 D. 14 and 38
To determine if a pair of numbers is relatively prime, we need to find their greatest common divisor (GCD). If the GCD is 1, then the numbers are relatively prime. The pair 14 and 81 is relatively prime.
Explanation:For two numbers to be relatively prime, their greatest common divisor (GCD) must be 1.
We can find the GCD by finding the prime factors of each number and determining if they have any common factors.
Let's take a look at each pair of numbers:
14 and 81: Prime factors of 14 are 2 and 7. Prime factors of 81 are 3 and 3. Since they have no common factors, they are relatively prime. 14 and 35: Prime factors of 14 are 2 and 7. Prime factors of 35 are 5 and 7. Since they have a common factor of 7, they are not relatively prime.14 and 91: Prime factors of 14 are 2 and 7. Prime factors of 91 are 7 and 13. Since they have a common factor of 7, they are not relatively prime.14 and 38: Prime factors of 14 are 2 and 7. Prime factors of 38 are 2 and 19. Since they have a common factor of 2, they are not relatively prime.Therefore, the pair of numbers that is relatively prime is 14 and 81.
math question down below
A local college recently reported that enrollment increased to 108% percent of last year. If enrollment last year was at 17,113, about how many students enrolled this year? Round to the nearest whole number. please help!!
Lynn wants to multiply 44 × 305 44×305. She says that all she has to do is find 4 × 305 4×305 and then double that number. Which explains whether or not Lynn's method will give her the correct answer?
A. Lynn's method will give her the correct answer. Multiplying by 4 and then doubling the product is the same as multiplying by 44.
B. Lynn's method will not give her the correct answer. Multiplying by 4 and then doubling the product is the same as multiplying by 6, not by 44.
C. Lynn's method will not give her the correct answer. Multiplying by 4 and then doubling the product is the same as multiplying by 8, not by 44.
D. Lynn's method will not give her the correct answer. Multiplying by 4 and then doubling the product is the same as multiplying by 16, not by 44.
Answer: It’s C
Step-by-step explanation:
Lynn's method of multiplying 4 by 305 and doubling the result will not give her the correct answer to 44 x 305. This method is equivalent to multiplying by 8, not 44.
Explanation:Lynn's method will not give her the correct answer. When Lynn multiplies 4 by 305 and then doubles the product, she is effectively multiplying 305 by 8, not by 44. To show this, consider the mathematical operations: when we multiply 4 by 305 we get 1220, and when we then double 1220 we get 2440. This is different from the result of multiplying 44 by 305, which is 13420. Therefore, the correct answer is C. Lynn's method will not be correct. Therefore, multiplying by 4 and then doubling the product is the same as multiplying by 8, not 44.
Learn more about Multiplication Error here:https://brainly.com/question/36451653
Solve. (–12.7) ∙ 3.8 ∙ (–7.2) = x ∙ (3.8) ∙ (–12.7) A. –12.7 B. –7.2 C. 1 D. 3.8