A man flies a kite and lets out 100 feet of string. The angle of elevation of the string is 52°. How far away is the man from the spot directly under the kite?
Answers
Answer:
61.57 ft
Step-by-step explanation:
Look at the picture. You need to find the base value.
so we can sue the cosine formula here.
cos x° = adjacent / hypotaneous
cos 52 ° = adj / 100
adjacent = 100 cos 52°
=61.57 ft
Answer:
the man is 61.6 ft away from the spot directly under the kite.
Step-by-step explanation:
in order to find the bottom length which is b we need to First find the height of this right angle triangle.
to find the height we need to use sin:
sin 52° = X/100
sin 52° * 100 = h
h= 78.8 ft
next we can find b which is the base of the triangle.
a^2+b^2=c^2
100^2 +b^2 = 78.8^2
100^2 -78.8^2 = b^2
b^2= 3790.56
b= √3790.56
b= 61.6 ft
therefore the man is 61.6 ft away from the spot directly under the kite.
Related Questions
85 is 68% of what number
Answers
Answer:
Goo gle Says its 80
Step-by-step explanation:
Which equation represents a line which is perpendicular to the line 4x + 3y = - 24 ?
Answers
Answer:
C
Step-by-step explanation:
4x+3y=-24
eq. of any line perpendicular to given line is
3x-4y=a
4y=3x-a
y=3/4x -a/4
where a is an arbitrary constant.
A student cuts out a rectangular strip of paper that has an area of 2/3 square meter. If the width of the paper strip is 1/5 meter, what is the length of the strip, in meters?
Answers
Answer:
3 1/3
Step-by-step explanation:
Perform the inverse operation: l = a/w
(2/3)/(1/5)
Find the common denominator.
It is 15 in this case.
(10/15)/(3/15)
150/45
3 1/3
Check your work.
a = 3 1/3 x 1/5
a = 2/3
This is true.
The answer is 3 1/3
-Xax
If the simple interest on a sum of money invested at 3% per annum for 242 years is N123, find the
principal
Answers
The principal is N16.94
Step-by-step explanation:
Simple Interest = (Principal × Rate × Time)/100
Principal = (Simple Interest × 100)/(Rate × Time)
Principal = (123 × 100)/(3 × 242)
Principal = 12300/726
Principal = 16.9421
Given the coordinates of A(3, 6), B(5, 2), and C(9, 4), which coordinates for D make ABCD a square?
Answers
Answer:
(7,8)
Step-by-step explanation:
The point D is (7, 8) for which the given coordinates of A(3, 6), B(5, 2), and C(9, 4), make a square.
What is a square?It is defined as a two-dimensional geometry that has four sides and four vertices. The sides of the square are equal in length. It is a regular quadrilateral.
Line AB and CD are parallel to each other.
Line AB:
(y- 6) = -2(x-3)
y - 6 = -2x+6
2x+y = 12
Line CD:
2x + y = d
Plug (9,4)
18+4 = d
d = 22
2x + y = 22 ...(1)
Line BC:
(y - 2) = 1/2(x-5)
2y -4 = x-5
-x + 2y = -1
x - 2y = 1
Line AD:
x - 2y = e
3 - 12 = e
e = -9
x-2y = -9 ...(2)
The intersection point of (1) and (2)
x = 7 and y = 8
Thus, the point D is (7, 8) for which the given coordinates of A(3, 6), B(5, 2), and C(9, 4), make a square.
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Find the volume of the given figure.
Answers
or
365 1/2 cm sq
A person places $1380 in an investment account earning an annual rate of 8.6%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 10 years.
Answers
Answer:
V = 3261.16
Step-by-step explanation:
Given:
P = 1380
r = 8.6% or 0.086
t = 10
Work:
[tex]V=Pe^{rt}\\\\V=1380e^{0.086*10}\\\\V=1380e^{0.86}\\\\V=3261.16[/tex]
Find the slope from the table:
X | Y
0 | -1
2 | 3
5 | 9
6 | 11
Answers
Answer:
The slope is 2
Step-by-step explanation:
Pick two points.
ex: (0,-1) and (2,3)
do the equation below where 0=x1, -1=y1, 2=x2, 3=y2
y2-y1 divided by x2-x1
3-(-1) divided by 2-0
4/2
=2
sorry this was kind of hard to explain on a computer :/
Helppp I need to finish this !!!!!
Answers
Answer:
filled in dot on -2 and shade the rest to the right (see below)
Step-by-step explanation:
This can also be read as "x is equal to or greater than -2." The "alligator" mouth, aka the inequality sign, is "eating" the x, meaning it's greater than the -2.
First graph the -2. Because it's also equal to, the dot on the -2 is filled in.
The inequality also acts as an arrow. It's pointing to the right, so the rest of the number line to the right is shaded.
This arrow method works only when the variable is on the left side so that is read "x is greater/less than a number."
If a farmer sells 9.8 KL of apples and pears at the farmers market. 4/5 of this weight is apples,and the rest are pears. How many kl of pears did they sell the farmers market
Answers
Answer:
1.96
Step-by-step explanation:
A farmer sells 9.8 kl of apples and pears
4/5 of this weight is apples, while the rest are pears
Therefore the wight of pears can be calculated as follows
Let x represent the weight of pears
9.8= 4/5×9.8 + x
9.8= 0.8×9.8+x
9.8= 7.84+x
9.8-7.84= x
x= 1.96
Definition of exponential?
Answers
Answer:
(of an increase) becoming more and more rapid.
"the social security budget was rising at an exponential rate"
Step-by-step explanation:
✨research ✨
Answer:
(of an increase) becoming more and more rapid.
(Mathematics)
of or expressed by a mathematical exponent.
Step-by-step explanation:
solve x , y , and z. Please help
Answers
Answer:
z and x equal 143
y equals 37
Step-by-step explanation:
37-180=143
8 ( x + 4) = 62. 4. x = _____
Answers
Answer: 0.05
Step-by-step explanation: Ur welcome
Step-by-step explanation:
8×x+8×4=62.4.x=_
8x+32=62.4.x=_
8x=62.4-32
8x=30.4
x=30.4:8
x=3.8
i need help with this question plsss
Answers
Answer:
180
Step-by-step explanation:
because angles on the same line sum up to 180
What kind of event is this: You draw a marble from a bag, keep it, then draw another
Independent
or
Dependent
Answers
Answer:
I believe independent
Step-by-step explanation:
I’m not quite sure what your asking r u asking like dependent and independent variable?
if I’m correc may I have brainliest plz I need 4 more to rank up thanks!
Find the coordinates of E' after a dilation with a
scale factor of 2.
Answers
Answer:
(more information is needed, the origin of the dilation and the coordinates for E)
Brad had a small gathering at a local steakhouse. The steakhouse offers three dinner platters which vary by size and price. They ordered 4 of the 6-ounce platters, 3 of the 8-ounce platters, and 3 of the 11-ounce platters. Steak Platter Prices
• 6-ounce $9.95
• 8-ounce $12.95
• 11-ounce $15.95
If a gratuity of 16% was added to the bill, which of the following is closest to the total of the steak platters and gratuity, ignoring sales tax?
Answers
Answer:
Ok if you get this worng im so sorry but I got $6.21
Step-by-step explanation:
Please help I will give you all the points I have pls pls pls!!
Answers
Therefore 88ft^2
A rectangular prism is 12 feet long, 8 feet wide and 11 feet tall. What is the
surface area? *
192
440
632
O
1056
Answers
Answer:
632 square feet
Step-by-step explanation:
Surface area of the prism = 2(lw+wh+lh)
L is the length = 12feet
w is the width = 8feet
h is the height = 11feet
Substitute
S = 2(12*8 + 12*11 + 8*11)
S = 2(96+132+88)
S = 2(316)
S = 632 square feet
Hence the surface are of the prism is 632 square feet
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What is the value of x in the triangle?
Answers
Answer:
x=130
Step-by-step explanation:
Hello There!
Remember the sum of the angles in a triangle is 180
So we can find the missing angle by subtracting the given angles (25 and 25 in this case) from 180
so x = 180 - 25 - 25
180 - 25 = 155
155 - 25 = 130
x = 130
23. Daniel bought a gallons of paint at the store for a project. At the end of his project,
Daniel had 1 gallons of paint left. How much paint did Daniel use for his project?
A. 3. gallons
B.3 gallons
c. 2. gallons
D. 6 gallons
Answers
Answer:
Based on your responses and my understanding from what you have said the answer is B.
Step-by-step explanation:
I’m about to spam questions if you can answer them please do .
Answers
Answer:
id say anything between 15 to 30 i dont have the stuff i need to answer this 100% accurately
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
90 plus 40 ,then you subtract it from 180
which point on the number line represents --3/4
Answers
Answer:
D
Step-by-step explanation:
Because it is 3 tics closer to 1. which would be 3/4 of 1
A right triangle has one angle that measures 25º. What is the measure of the other acute
angle?
Answers
Answer:
65
Step-by-step explanation:
All the angles in a right triangle add up to 180
plug in what we know and we get
90+25+x=180
115+x=180
x=65
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Answers
Answer:
1) g < -6
2) x < -5
3) f < 2
4) y ≤ -2
5) p ≥ 2
What are the steps you would take to find the area of the shaded region? Check all that apply.
Answers
Answer:
THE ANSWER IS INCOMPLETE SO IM GOING TO REPORT:/
Step-by-step explanation:
WILL GIVE BRAINLIEST!! Priscilla received 240 votes in the election for student council president. That was 60% of the students who voted in the election. How many students voted in the election? A) 400 students B) 300 students C) 185 students D) 455 students
Answers
Answer:
A)400 students
Step-by-step explanation:
Anyone know how to do this?
Answers
Answer:
??
Step-by-step explanation:
Kiran cuts out a square piece of paper with side length 6 inches. Mai cuts out a paper sector of a circle with radius 6 inches, and calculates the arc length to be inches. Whose paper is larger? Explain or show your reasoning.
Answers
Area of a square: bh = 6x6 = 36 inches squared
Area of a circle: 3.14(r^2) = 3.14(36)= 113 inches squared
Mai’s paper is much larger.
A circle is a curve sketched out by a point moving in a plane. The area of the circular paper is more than the area of the square.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The arc length of radius 6 inches is equal to,
Length of the Arc of a quarter = 2πr×(1/4) = 2×π×6×0.25 =0.9448 inches
The area of the circular paper = πr² = π×6×6 = 113.097²
The area of the square with a side of 6 inches = 36 in²
Therefore, the area of the circular paper is more than the area of the square.
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IM RUNNING OUT OF TIME SO PLss ANYONEEE
Answers
Answer:
x= -2
Step-by-step explanation:
If the slope is zero, that means the line is horizontal.
Answer: y=7
Step-by-step explanation: