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A 103-foot wire is used to support a utility tower. It runs from the tower to the ground and forms a 24° angle with the ground.
Answers
Answer:
Height of Tower = 41.8901 ft
Base to Ground Wire = 94.0905 ft
Step-by-step explanation:
So you want to find the opposing side of the angle, as well as the distance from the base to where the wire is attached to the ground. You would need to use CAH to find the ground, and SOH to find the height. To find the height or opposite, take the Sine of 24°, 0.4067, and times it by your hypoteneuse 103 to get an exact height of 41.8901 ft. Next, use the Cosine of 24°, 0.9135, and times that by your hypoteneuse 103 to get 94.0905 ft.
Here are the equations:
sin(24)=[tex]\frac{h}{103}[/tex]
cos(24)=[tex]\frac{h}{103}[/tex]
The base of the utility tower from the location where wire is attached to the ground is 94.09 feet and the wire attached to the tower at a height of 41.89 feet.
What is right angle triangle property?In a right angle triangle ratio of adjacent side to the hypotenuse side is equal the cosine angle between them.
[tex]\cos\theta=\dfrac{a}{c}[/tex]
Here, (a) is the adjacent side, (c) is the hypotenuse side and [tex]\theta[/tex] is the angle made between them.
a) The value from the base of the utility tower from the location where wire is attached to the groundThe length of the wire is 103 foot. This is the hypotenuse side of triangle made by the wire, tower, and ground.
The angle between the wire (hypotenuse side) and ground (adjacent side) is 24 degrees. Therefore, the cosine angle can be given as,
[tex]\cos (24^o)=\dfrac{a}{103}\\0.9135\times103=a\\a=94.09\rm ft[/tex]
b) The wire attached to the tower at a height of __ feet.In a right angle triangle ratio of opposite side to the hypotenuse side is equal the sine angle between them. Let the height of the tower (opposite side) is b ft. Therefore,
[tex]\sin(24^o)=\dfrac{b}{103}\\0.4067\times103=b\\b=41.89\rm ft[/tex]
Thus, the value from the base of the utility tower from the location where wire is attached to the ground is 94.09 feet and the wire attached to the tower at a height of 41.89 feet.
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Related Questions
Can someone please help me. WILL MARK YOU BRAINLIEST!!
Answers
Answer:
A. y > -3 All real numbers greater than -3
Step-by-step explanation:
The average distance from the Sun to Mars is 22,793, 910,000,000 centimeters.
The conversion factors between centimeters and four other units of measure are shown below.
9.46. 10^17 cm = 1 light-year
1.50.10^13 cm = 1 astronomical
1 . 10^5 cm = 1 kilometer
1. 10^2 = 1 meter
For the distance to be expressed as x units of measure, where 1 < x < 10, which unit of measure must be used?
A Light-years
B) Astronomical units
C)Kilometers
D) Meters
Answers
Step-by-step explanation:
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Answer:
C
Step-by-step explanation:
Manny ran a total of 77 miles over the course of 7 track practices. How many track practices would it take for Manny to run 99 miles? Assume the relationship is directly proportional.
Answers
Answer:
just add them up
Step-by-step explanation:
25+8x=5+12x whats the answer?
Answers
Answer:
x = 5 (see below)
Step-by-step explanation:
Combine like terms by subtracting on both sides:
25 + 8x = 5 + 12x
20 = 4x
Then divide:
20 = 4x
5 = x
Move the variable to the left side of the equation:
x = 5
Hopefully this helps
Which represents the numbers in order from least to greatest?
9%, 9/10, 9. -9/1
Answers
Answer:
9% 9. -9/1 9/1
Step-by-step explanation:
Find the distance, c, between (–4, –3) and (2, 1) on the coordinate plane. Round to the nearest tenth if necessary.
Answers
Answer:
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((2-(-4))²+(1-(-3))²)
d=√(6²+4²)
d=√36+16
d=√52
d=7.21110255...
d=7.2
Step-by-step explanation:
d=7.2
The distance between the points on the coordinate plane is 7.2 units.
What is coordinate geometry?Coordinate geometry is the study of geometry using the coordinate points. It provides a link between geometry and algebra through line graphs and curves.
For the given situation,
The points are (x1, y1) be (–4, –3) and (x2, y2) be (2, 1)
The formula for the distance between points,
[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]
On substituting the above points,
⇒ [tex]d=\sqrt{(2-(-4))^{2}+(1-(-3))^{2} }[/tex]
⇒ [tex]d=\sqrt{6^{2}+4^{2} }[/tex]
⇒ [tex]d=\sqrt{52}[/tex]
⇒ [tex]d=7.211[/tex] ≈ [tex]7.2[/tex]
Hence we can conclude that the distance between the points on the coordinate plane is 7.2 units.
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find the area.......
Answers
A= 1/2*9.1*6
= 27.3mi^2
Answer:
A= 1/2*9.1*6
= 27.3mi^2
Step-by-step explanation:
i actaully knew this im not sure why they deleted my last answer
what are the answers to these?!?!?!?>>>>>
2(y−3)=4 (solve for "y")
2x+5y=10 (solve for "x")
6x+3y=4y+11 (solve for "y")
3(2x+4)=2+6x+10 (solve for "x")
y=−3x+6 (solve for "x")
m=8−2(p−m) (solve for "p")
Answers
1) y=5
2) x=(10-5y)/2
3) y=(11-6x)/-3
4) x=0
5) x=(-y+6)/3
6) p=(8+m)/2
Some systems of inequalities can have no solution.
Answers
Answer:
Yes, that is true.
Step-by-step explanation:
The bounded regions of the two inequalities do not overlap, so there is no solution set. However, the existence of parallel lines does not necessarily indicate that there is no solution, it just means that there is the possibility of no solutions.
Sarah bought a new T-shirt for $40. The sale tax is 4%. How much was the tax?
Answers
Answer:
The tax is $1.60 bringing her total to $41.60
Answer: im getting free points dont get mad at me this person already answered so take full credit for him
Step-by-step explanation:
A major storm has winds speeds that are at least 110 miles per hour.Write and solve an inequality that describes how much greater these wind speeds are than the slowest hurricane
Answers
Answer:
x ≥ 36 miles per hour
Step-by-step explanation:
The speed of a major storm is at least 110 miles per hour while the speed of the slowest hurricane is at least 74 miles per hour.
Let x represent how much greater these wind speeds are than the slowest hurricane. Therefore:
x ≥ 110 miles per hour - 74 miles per hour
x ≥ 36 miles per hour
This means that the winds speed must be 36 miles per hour greater than the slowest hurricane.
solve for x 11^(x-4)=121^(x)
Answers
Step-by-step explanation:
[tex]11 {}^{x - 4} = 121 {}^{x} \\ 11 {?}^{x - 4} = 11 {}^{11x} \\ x - 4 = 11x \\ x - 11x = 4 \\ \\ - 10x = 4 \\ x = - 0.4[/tex]
how do I find the perimeter of a triangle
Answers
Answer:
Step-by-step explanation:
Add up all three side lengths
Answer:
Add up all the side lengths (3) of the triangle.
Step-by-step explanation:
HELP PLZ DUE IN 15 MIN!
Given: ΔFGH ≅ ΔWAX. Complete the following statements.
Segment GH ≅ Segment ??
∠W ≅ ∠ ??
Answers
Answer:
Step-by-step explanation:
GH =~ AX
<W =~ <F
Answer:
Given:
ΔFGH ≅ ΔWAXCorresponding sides or angles are congruent
Segment GH ≅ Segment AX∠W ≅ ∠ FCan u guys plz help me it's timed
Answers
Answer: 38
Step-by-step explanation:
Answer:
Perimeter= 38, EC- Area= 19.5
Step-by-step explanation:
substitute all the x's for 5. simplify each equation. H=3, Base= 13, 4x+2=22
h- 5-2=3
4(5)+2=22
base- 2(5)=3=13
then add all answers together to get 38.
multiply 13 and 3 to get 39, then divide by 2 to get 19.5 for the area.
A pattern maker earns $25 per hour. She has monthly business expenses of $300. Her profit is the difference between
her monthly earnings and her monthly business expenses. How many hours will the pattern maker have to work in a month to make a profit
of at least $2,000?
оооо
a) 92
b) 100
c) 108
d) 121
Answers
Answer:
i think the answer is a.92 hope this helps
Please help me! (Tangent Ratios) (30 points)
Answers
Answer:
Step-by-step explanation:
A = 48/20
B = 20/48
factored form for x^2 + 8x + 3
Answers
Answer:
x = [-b +- sqrt(b^2-4ac)]/2a
Step-by-step explanation:
1. g(x) = f(x) - 7
how do u solve these?
Answers
Answer:
g' (×)=f
Step-by-step explanation:
g (×)=f×-7
g' (×)= d÷d× (f×-7)
d÷d×(f+g)=d÷d×(f)+d÷d=(g)
g' (×)=d÷d×(f×)-d÷d×(7)
g'(×)=f-d÷d×(7)
g'(×)=f-0
g'(×)=f
WILL GIVE BRAINLIEST!
Translate the following verbal expression into a variable expression.
Eight divided by the sum of a number and three.
Answers
Answer:
8÷(x+3)
Step-by-step explanation:
it doesnt specify what number you add with 3 so you substitute it with a variable such as x.
The sum is adding so x +3 and then divide by 8
Which postulate proves the two triangles
congruent?
Account
SAS
SSS
AAS
ASA
Not congruent
Answers
Answer:
HL
Step-by-step explanation:
PQ = PR {hypotenuse}
PS = PS {Reflexive property, PS is the leg of the both triangles}
∠PSQ = ∠PSR = 90
So, HL postulate
Given the parallelogram
with the m
and m
Find the m
(8x + 14) (6x + 13)
55
B) 55°
A) 110°
C) 7°
D) 70°
Answers
Answer: 55.
Step-by-step explanation:R = 55. You put all the angles equal to 180 and then get the variable by itself.
The difference of a number c and 17 is more than 33.
Answers
Answer:
c-17=x>33
c=51
Step-by-step explanation:
The value of number c should be greater than 50.
It is given that difference of a number c and 17 is more than 33.
We have to find out the value of number c.
What do you mean by algebraic expressions ?
The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.
As per the question ;
The difference of c and 17 is more than 33.
i.e.,
difference of c and 17 meant ; 17 should be subtracted from c and this is greater than 33.
i.e.,
c - 17 > 33
c > 33 + 17
c > 50
Thus , the value of number c should be greater than 50.
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There are 40 working hours in a week and 52 weeks a year. How much does Nate need to make an hour to stay out of debt if it costs him $900 to live each month?
Answers
Answer: $5.19
Step-by-step explanation:
If there are 40 working hours in a week and 52 weeks in a year, 40 * 52 should be the amount of working hours in a year.
40 * 52 = 2080 working hours
Nate needs $900 to live each month and there are 12 months in a year, so $900 * 12 would equal how much he spends per year.
$900 * 12 = $10800
Divide $10800 by 2080 working hours to get how much he needs to make per working hour.
10800/2080 = approximately 5.19, rounded down from the nearest hundredth
He needs to make $5.19 per hour, so the answer is the last option.
please help it should be ez for you guys ;-; brainiest to best answer :D
Answers
Answer:
1: -16/0 or undefined
2: 0
Step-by-step explanation:
Answer:
17
≈ 0.31
Step-by-step explanation:
Do the rise over run tactic for both of these points :
[tex]\frac{Y2 - Y1}{X2 - X1}[/tex]
Substitute : (8,7) and (8, -9)
[tex]\frac{(-9 ) -8}{7-8}[/tex]
[tex]\frac{-17}{-1}[/tex]
[tex]17[/tex]
Substitute : (-5, 8) and (4, 8)
[tex]\frac{8- 4}{8- (-5)}[/tex]
[tex]\frac{4}{13}[/tex]
≈ [tex]0.31[/tex]
10p^(2)- 5pq - 180q^(2)
Answers
5
(
p
+
4
q
)
(
2
p
−
9
q
)
What equation is equivalent to 2(3-y)
A. 2y - 6
B. 6 - 2y
C. 6 + y
D. 6 + 2y
Answers
Answer:
The answer is C.6+y
............
Please help for a grade!?
Answers
Answer:
8.9
Step-by-step explanation:
Solve the equation:
7x − 2 = 26
Answers
Answer:
[tex] \large \boxed{x = 4}[/tex]
Step-by-step explanation:
Goal
Solve for x-term.Given
Equation[tex]7x - 2 = 26[/tex]
Step 1
Isolate x by adding 2 to both sides.[tex]7x - 2 + 2 = 26 + 2 \\ 7x + 0 = 28 \\ 7x = 28 \\ x = \frac{28}{7} \\ x = 4[/tex]
Step 2 (Optional)
We check the answer by substituting x = 4 in the equation.[tex]7x - 2 = 26 \\ 7(4) - 2 = 26 \\ 28 - 2 = 26 \\ 26 = 26[/tex]
The equation is true for x = 4. Hence, the solution is x = 4.
Please help me I'm dying D: I'll mark brainliest :>
Answers
Answer:
6 2/3
Paul made $205
2/3+3 3/4 = 4 5/12
240 students in sixth grade
15 oz for $1.29
Step-by-step explanation:
5/(3/4) = 5/1x4/3 = 20/3 = 6 2/3
proof:
6 2/3 x 3/4 = 20/3 x 3/4 =60/12 = 5