Mamadou is flying a kite, holding his hands a distance of 2.75 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 27 ∘ ∘ . If the string from the kite to his hand is 75 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
The height of the kite above the ground is 36.8 ft
Let x be the height of the kite above Mamadou's hand.
Since the angle of elevation of the kite is 27° and the length of the kite's string is 75 ft long, the length of string, height of kite above Mamadou's hand and the horizontal distance between Mamadou and the kite form a right-angled triangle, with hypotenuse side, length of string of kite and opposite side, height of kite above Mamdou's hand, we have that
sin27° = x/75
Making x subject of the formula, we have
x = 75sin27
x = 75 × 0.4540
x = 34.05 ft
Since Mamadou's hand above the ground is y = 2.75 ft, the height of the kite above the ground, h = x + y
Substituting the values of the variables into the equation, we have
h = x + y
= 34.05 ft + 2.75 ft
= 36.8 ft
The height of the kite above the ground is 36.8 ft
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(a) Aradh borrows R30 000 from the bank at 15% p.a simple interest, payable over 4 years. Calculate his monthly repayments.
Answer:
R834.92 is the monthly repayments.
Step-by-step explanation:
These tables of ordered pairs represent some points on the graphs of lines p and r.
Which system of equations is represented by lines p and r?
9x−4y=−92x+4y=15
3x−y=−127x+3y=21
2x−y=−82x+y=7
x−2y=−86x+5y=30
Line p
x y
−3 2
0 8
4 16
Line r
x y
−5 17
2 3
5 −3
Answer:
The answer above mine is correct and here is why.
Step-by-step explanation:
Please rate this answer choice 5 stars and leave a thanks, You do not need an acount to do this.Using this plot of annual peak discharge, what is the probability each year that a flood of 1,000 cubic meters per second will occur
Using the plot, it is found that there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.
The question is incomplete, but the plot can be found on the internet.On the x-axis, it is given the probability of a flood of of y cubic meters per second.When y = 1,000, we have that x = 10%, hence, there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.
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The ratio of cats to dogs at animal shelter is 2 to 5. There are 22 cats at the animal shelter.
What is the total number of animals at the animal shelter?
Answer:
77
Step-by-step explanation:
cats:dogs
2:5
2x11=22
5x11=55
55+22=77
Answer:
77 animals
Step-by-step explanation:
Ratio = 2:5
2 = 22
5 = 5/2 ×22
= 55
=>There are 55 dogs in the animal shelter
Therefore the total number of animals = 55 +22
= 77
=> There are 77 animals at the animal shelter
A point is plotted on a number line at 3.7. A second point is plotted at −5.5.
What is the length of the line segment joining these points?
Enter your answer as a decimal in the box.
Answer:
9.2 units
Step-by-step explanation:
The length of the segment between the points is equal to the difference of their coordinates:
3.7 -(-5.5) = 3.7 +5.5 = 9.2 . . . units
Answer:
9.2
Step-by-step explanation:
5.5+3.7=9.2
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Have a great day!
How much profit will a store make on the sale of a flat screen TV that is marked up by 30% and then sold at a 20% discount if the original price of the TV is $1500?
The flat screen TV that is marked up by 30% and 20% discount had a profit of $60 after being sold.
The mark up percentage is given by:
Mark up percentage = (selling price - cost price)/cost price
Since the original price is $1500, hence:
30% = (selling price - 1500)/1500
0.3 = (selling price - 1500)/1500
(selling price - 1500) = 450
Selling price = $1950
It was again sold at a discount of 20%:
Final selling price= 1950 - 20% of 1950 = 1560
Profit = 1560 - 1500 = $60
Hence $60 profit was made by the store for the sale of a flat screen TV.
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Which describes how to move from (2, 3) to (6,4) on a coordinate grid?
Step-by-step explanation:
x = +4
y = +1
it uses a rigid transition formation
4 1/4-2 3/5 what is this
4-0,9+(-0,11)-(-1,3) PLEASE HELP
Answer:
-20
Step-by-step explanation:
PEMDAS
What is the slope of this graph please no links or files
Answer:
2/3
Step-by-step explanation:
You go over 2 and down 3
Liquid nitrogen is -196°C. What is the difference in temperature between the liquid
nitrogen and the frozen meal temperature (-18°C)?
Answer:
the state the item is in such as liquid nitrogen is frozen air and frozen meals are ice solid.
Step-by-step explanation:
The ratio of the number of girls to the number of boys is 3:5 . if the number of boys os 12 more than the number of girls ,calculate the total number of students in the class.
Answer:
48 students in the class
Step-by-step explanation:
The ratio of girls to boys is 3 : 5 = 3x : 5x ( x is a multiplier ) , then
5x = 3x + 12 ( 12 more boys than girls )
Subtract 3x from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Then
number of girls = 3x = 3 × 6 = 18
number of boys = 5x = 5 × 6 = 30
total students in class = 18 + 30 = 48
SOMEONE HELP ME PLEASE
Answer:
[tex]x=\frac{27}4=6.75[/tex]
Step-by-step explanation:
The triangles PQR and SQT have corresponding angles congruent. In particular the pair P,S, R,T are congruent since corresponding angles relative to the two parallel lines in the hypotesis, and Q is obviously in common. The two triangles are similar since their angles are congruent. We can then write the follwing proportion.
[tex]\overline{RQ}:\overline {TQ}= \overline{PQ}:\overline{SQ}[/tex] Replacing the values and cross-multiplying we get:
[tex](4x-3+3):3=(40+5):5 \rightarrow 4x:3 = 45:5 \\4x=27 \rightarrow x=\frac{27}4=6.75[/tex]
Answer:
6.75
Step-by-step explanation:
the answer is 6.75
so x = 6.75
what does cpctc stand for and when would you use it
Answer: Corresponding Parts of Congruent Triangles are Congruent
Step-by-step explanation: So you use it when two triangles are congruent to each other (which means the same) so like ASA angle side angle will tell you if the triangle is congruent to each others.
Convert 32 feet per second to kilometers per hour. (Hint: There are 5280 feet in a mile, and one mile is 1.61 kilometers)
Step by Step please
Answer:
35.113 km per hour is the correct answer
PLEASE HELP ME OUT I WILL GIVE BRAINLIEST
Perform the following conversions using unit fractoring
2.3L = ______ mL
4.5 yds = ______ in
Answer:I got you
2.3L=2300ML
4.5yds=162in
Step-by-step explanation:
Find 1*2+2*3+3*4+...100*101
Answer:
What kind of mathematics is this?
explain in words what this problem is asking you to do 3(×+2)
Step-by-step explanation:
You simply have to multiply 3 by all what is in the bracket forinstance
3x+6 , this is so because 3 is multiplied by x and also multiplied by 2
State if the two triangles are congruent. If they are, state how you know.
See picture for full problem. Please and thank you!
Answer:
Yes they are.
They are congruent because they have two equal angles and one equal side
3) Which table shows y as DIRECTLY PROPORTIONAL to x?
Α)Α
B) B.
C C
D) D
Answer:
I think the answer will be A
1/ sin 3x - sinx = 0
Answer:
equals 1x32 mc2
Step-by-step explanation:
mass–energy equivalence formula E
Select all ratios equivalent to 3:2.
10:1
15:10
18:12
Submit
Answer:
15:10, 18:12
Step-by-step explanation:
Technically speaking, the first value, 3, is 1.5x greater than the second value, 2.
So, in all other ratios, the first value should be 1.5x greater than the second.
We can check by dividing the first number of each ratio by 3, and if we multiply 2 by the quotient, it should be 1.5x smaller
___________________________________________________________
10:1, Incorrect
This is incorrect because the first value is not 1.5x greater than the second. It is 10x greater
10/3 = 3.333....
1 x 3.33... = 3.3333....
3.3333.... x 1.5 ≠ 10
15:10, Correct
This is correct because the first number is 1.5x greater than the second.
15/3 = 5
5 x 2 = 10
10 x 1.5 = 15
18:12, Correct
This is correct because the first number is 1.5x greater than the second.
18/3 = 6
6 x 2 = 12
12 x 1.5 = 18
-Chetan K
Fresh Farms divides the farm into different
crops shown in the table below. What percent of the farm grows potatoes?
Potatoes 32Acres
Carrots 24Acres
Onions 40Acres
Answer:
Step-by-step explanation:
Write 0.00000506 in scientific notation.
Answer:
5.06*10 to the power of -6
Step-by-step explanation:
you need the number to be in between one and 10 so 5.06 is where the decimal should be and the exponent is negative because when you want to put it back to the rational number you go 6 decimal places to the LEFT
find the sum of the first 10 terms of the geometric series 1+10+100+1000+...
(with solution)
PA HELP PO THANKSSS
Answer:
1111102111
Step-by-step explanation:
a = 1
r = 10
∑1x10^n = 1111102111
where n starts from 1 to 10
Only right answers! Please hurry.
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
Answer:
Part A: about 8%
Part B: about 65%
Step-by-step explanation:
determine the degree of the polynomial.
8a^3+7a+6
Answer:
The degree of a polynomial is the largest exponent in the expression. The degree of the given polynomial is 3.
:)
100 POINTS IF U GET THIS RIGHT!
Answer:
●y= mx + c
y = 9x + 1/2
slope m =9
For the expression five minus 5X to have a negative value what must be true about the value of X
Answer:
x=0
Step-by-step explanation:
honestly this is just filler no reason to explain it hoenstly