A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground. How high up the pole is the wire
attached? Write your answer in simplest form
The wire is attached to the pole at 18 root3 ft high.
We have given that,
A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground.
This is a right triangle formed of which hypotenuse is
h=36ft.
Angle is θ=60degree
Let P be the height of pole.
What is the value of the sin ratio?
[tex]\frac{Opposite\ side}{hypotenous}[/tex]
then, sin60=P/H or root3/2=P/36
P=36√3/2
or
P=18√3ft.
The wire attached to the pole at P=18√3ft.
To learn more about the pole visit:
https://brainly.com/question/1302818
#SPJ1
Suppose we want to choose 5 objects, without replacement, from 18 distinct objects.
(a) How many ways can this be done, if the order of the choices is taken into consideration?
(b) How many ways can this be done, if the order of the choices is not taken into consideration?
Answer:
(a) 1,028,160
(b) 8,568
Step-by-step explanation:
(a)
[tex]18 \times 17 \times 16 \times 15 \times 14 = 1028160[/tex]
(b) 18! / (5! 13!) =
[tex] \frac{18 \times 17 \times 16 \times 15 \times 14}{5 \times 4 \times 3 \times 2 \times 1} = 8568[/tex]
If a+5=b, then what is the value of (b-a)^4
Answer:82
Step-by-step explanation:
90 + 90 × 10%
= 90 + 90 × 0.10
= 90 + 9
= 99
PLEASE HELP WITH THIS DUE IN A COUPLE HOURS
Answer:
D) 15
Step-by-step explanation:
[tex]d=\sqrt{(x_{2}-x_{1} )^2+(y_{2}-y_{1} )^2}[/tex]
I need help please im not sure what the answer is .
Answer:
[tex]log_{8} \frac{11}{x}= log_{8} 11 -log_{8} x[/tex]
Step-by-step explanation:
[tex] log_{8} \frac{11}{x}= log_{8} 11 -log_{8} x[/tex]
Determine the most appropriate model for the data in the table.
Please help
Answer:
An exponential model will be the best for the data.
Step-by-step explanation:
If you chart this data (either using a calculator, excel, or an online tool like desmos), it is clear that the curve is exponential.
Furthermore, if you run regression, you can find that the curve [tex]4*2^x[/tex] fits the data quite nicely.
can someone please help me with my homework :) please it would really help because its due tmr thanks if you could.
Answer:
Answer are in the steps.
Step-by-step explanation:
Most of the problems is parallelogram some angles are the same. 2 angles add up to 180° are known as supplementary angles also known as linear pair.
#1:
<1 = 148° , <2= 32° , <3 = 148° , <1 = 32° , <5 = 148° , <6 = 32° , <7 = 32°
#2: All of them are 90° because of linear lines that add up to 180° / parallelogram.
#3: If <1 = 130°, then <8 = 148°.
Because Parallelogram <1 and <8 transversal.
#4 If <5 = 53° , then <3 = 127°
Because <5 = <4 so <5 + <3 = 180°
#5 If <7 = 71° , then <3 = 109°
Because <7 + <3 = 180°
#6 If <4 = 65° , then <6 = 115°
Because <5 = <4 so <4 + <6 = 180°
Solve for f.
4
f − 3
=
5
f − 6
There may be 1 or 2 solutions.
f =
or f =
Answer:
3
Step-by-step explanation:
4f-3 = 5f-6
First I would try to get the f's on one side and the other numbers on the other, to do this you woudl have to add 6 to both sides
4f -3 = 5f -6
+6 +6
Making it into: 4f + 3 = 5f
Now to get the 4f on the other side we will have to subtract it from both sides
4f +3 = 5f
-4f -4f
3= f (Remember you do not have to put the 1, making 3 your answer)
Can someone please give me the (Answers) to this? ... please ...
I need help….
PLEASE PLEASE HELP ME WITH THE BOTTOM ONE!!!
HELPPP ASAP!!!
A model rocket is launched from a raised platform at a speed of 144 feet per second. Its height in feet is given by:
h(t)
-16t2
144t + 20 (t=seconds after launch). What is the rockets maximum height reached after it is launched?
•280 feet
263 feet
344 feet
355 feet
Answer:
344 ft
Step-by-step explanation:
This is the equation for a dome shaped parabola
The TIME of the highest point is found by
t = - b/2a = - 144/(2 * -16) = 4.5 sec
Sub this value of t into the equation to find max height = 344 ft
Which explanation justifies how the area of a sector of a circle is derived?.
Step-by-step explanation:
We know the area of a circle is
[tex]\pi {r}^{2} [/tex]
That is when the cricle is 360 degrees full, so another formula is
[tex] \frac{360}{360} \pi {r}^{2} [/tex]
If we the find the area of the sector with angle x, then that formula will be
[tex] \frac{x}{360} {\pi}r^{2} [/tex]
Answer:
The area of a sector is part of an area of the entire circle. Determine the fraction of the circle that the sector represents and multiply it by the area of the circle.
Step-by-step explanation:
Please help me solve math problems
VW = 6
hope it helps...!!!
A(-4,7) B(3,5) C(-6, 2) Triangle ABC is reflected across the line y = 2 to form triangle A'B'C'. What is the x- coordinate of B'?
In ∆VAC, what is the value of x?
Answer:
a = 180 - 150 = 75
x = 180 - 75 = 48
x = 57
can you help me please
Answer:
r = 728 ( there might be an easier way! )
Step-by-step explanation:
w/r = 3/8 then w = 3/8 r
b/w = 2/7 b = 2/7 w sub in the above equation b = 2/7 (3/8 r) = 6/56 r
r + w + b = 1079
r + 3/8 r + 6/56 r = 1079
r = 728
If x – 4 is a factor of x2 + 8x + k, what is the value of k?
Answer:
k ±16
Step-by-step explanation:
Evaluate x^2 + 8 x + k where x = -4:
x^2 + 8 x + k = k - 4 8 + (-4)^2
(-4)^2 = 16:
k - 4 8 + 16
8 (-4) = -32:
k + -32 + 16
Grouping like terms, k - 32 + 16 = k + (16 - 32):
k + (16 - 32)
16 - 32 = -16:
Answer: k ±16
Answer:
The answer is
k=−11
Explanation:
Let
f(x)=x^3−6x62+kx+10
If (x+2)is a factor
Then,
f(-2)=0
f(−2)= −8− 24 − 2k + 10= 0
2k=-22
k=−11
Step-by-step explanation:
A password contains exactly 7 letters. How many passwords are possible if letters cannot be used more than once?
A. 8,031,810,176
B. 3,315,312,000
C. 823,543
D.657,800
Answer:
B
Step-by-step explanation:
This is a combination problem. For the first letter, there are 26 possible letters in the alphabet to use. For the second, we cannot use the letter used in the first, so there are only 25 possible letters. Repeat this for the remaining 5 letters.
1st - 26
2nd - 25
3rd - 24
4th - 23
5th - 22
6th - 21
7th - 20
To find the number of possible passwords, simply multiply all these numbers together. 26*25*24*23*22*21*20 = 3,315,312,000. Therefore B is the correct answer.
Answer:
B
Step-by-step explanation:
The answer is B
you can find answers for questions like these on quizlet.
the percent of age of rajus fater is twice that of Raju. after 10 years, the sum of their ages would be 80 years. find their present age
pls fast plss
Answer:
raju is 20 years old while the father is 40 years old
Step-by-step explanation:
present : lets assume raju is x years old so the father will be 2x
after 10 yrs raju will be x+10 yrs while the father will be 2x+10 yrs
therefore :
(x+10)+(2x+10)=80
liketerms together
x+2x+10+10=80
3x+20=80
3x=80-20
3x=60
simplify
x=20 so raju is 20 years old now and the father since he is twice the age of his son he is 40 years old
What is the factorization of 121b4 − 49? (11b − 7)(11b − 7) (11b 7)(11b − 7) (11b2 − 7)(11b2 − 7) (11b2 7)(11b2 − 7)
The Factorization of 121b⁴ − 49 is (11b^2 + 7)(11b^2 - 7).
The equation 121b⁴ − 49
To find the Factorization of 121b⁴ − 49.
What is the factor of a^2-b^2?
The factor of a^2-b^2 is (a+b)(a-b)
We have write the given equation in the form of a^2-b^2
[tex]= 121b^4 - 49\\= (11b^2)^2 - 7^2\\= (11b^2 + 7)(11b^2 - 7)[/tex]
Therefore the factor of the 121b^4 − 49 is (11b^2 + 7)(11b^2 - 7).
To learn more about the factor visit:
https://brainly.com/question/25829061
Answer:
(11b2 + 7)(11b2 − 7)
Step-by-step explanation:
just did the test
Data and Statistics- Find the median in the box plot below:
Answer:
Your median is 40
Step-by-step explanation:
Find the output, kkk, when the input, ttt, is 333.
k = 13t-2k=13t−2
Answer:
The answer is 37.
Step-by-step explanation:
Step 1: To find the output, k, we need to substitude 3 into the equation for t.
Step 2: k = 13t - 2
k = 13 x 3 - 2
= 39 - 2
= 37
Step 3: When the input is 3, the output is 37.
what is the answer? tap on the image
Answer:
D
Step-by-step explanation:
The distance between point C and the y axis is 2 units
The distance between point A and the y axis is 9 units
2<9
D
Answer:
its d, point c is closer to the y-axis than point a
Step-by-step explanation:
A convex polyhedron has faces that consist of 6 squares and 8 triangles. The polyhedron has 24 edges. How many vertices does it have?
Euler’s formula: V + F = E + 2
12
18
26
36
Answer: A 12 vertices
i got a 100 on unit test on edge
Step-by-step explanation: because a polyhedron that consist of 6 squares and 8 triangle and has 24 edges is a Cuboctahedron which has 12 vertices
https://en.wikipedia.org/wiki/Cuboctahedron
Answer:
12
Step-by-step explanation:
edge 2023
I think of a number, multiply it by 2 and add 1. My
answer is 15. What number was I thinking of?
Answer :: 7
Explanation ::
Okay, I'm going to stretch this explanation long so people can understand! Hopefully this helps :) I will also provide a shorter explanation so if people want to find out how to do it quicker without details to help you understand better, they can read the shorter explanation!
- long explanation -
Equation provided from the info :: (x * 2) + 1 = 15
We need to find out what number is the x. First of all, one way to do it is do the equation backwards. And the operators will be the opposite too, for example addition is the opposite of subtraction and multiplication is the opposite of division. Now once we flip the equation it should look like this:
(15 - 1) / 2 = x
Let's break the equation apart so it's easier to work with. Remember, the rule PEMDAS. Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. Why I put "and" between some words, is because they are the same level and you should go left to right from the equation. So the equation in parentheses is (15 - 1). So we just have to solve it! The answer is 14, which is an even number, so we don't have to fiddle with decimals. But if you want to know how to divide an odd natural number, feel free to comment on this answer! The equation should look like this:
14 / 2 = x
Now, all we have to do now is divide 14 in half! As someone who memorised their whole multiplication and division table, it's easy for me to figure it out. But if you haven't, try using addition! All you have to do is count up your numbers.
1 + 1 = 2
2 + 2 = 4
3 + 3 = 6
4 + 4 = 8
5 + 5 = 10
6 + 6 = 12
7 + 7 = 14!
So now we know 14 / 2 is 7. Sorry if this is too easy, I'm just giving attention to some who learn slowly, which is absolutely alright! So now we have our 2 answers. The equation now looks like this:
14 / 2 = 7.
Well we now know what the x is, and if you want to make sure it's the correct answer just flip the equation!
(7 * 2) - 1
7 * 2 = 14
14 - 1 = 15
Your answer is the same one provided, so the number is 7!
- short explanation -
The equation with the numbers provided is (x * 2) + 1 = 15
Let's flip the equation so it's easier! It should look like this:
(15 - 1) / 2 = x
Now all we have to do is solve it!
15 - 1 = 14
14 / 2 = 7
So our answer is 7! To check if the answer is correct, just re-do the unflipped equation!
(7 x 2) + 1 = ??
7 x 2 = 14
14 + 1 = 15
15 is the answer given in the text, so 7 is the correct answer.
ASAPPPPPPPPPPPPPPPPPPP HELP 50 PTS AND BRAINLY EST
answer is 1 1/2
hope it helps...!!!
If a man goes to a cafe he wants to buy a wrap with the price of 8.80 dollars he gives the cafe lady 10 dollars how much change does he get?
Find f(g(x)) simplify completely f(x)= x^2+5x+2 g(x)=3x
Answer:
f(g(x)) = 9x² + 15x + 2
Step-by-step explanation:
f(x) = x² + 5x + 2g(x) = 3xSolving f(g(x))
f(g(x))f(3x)f(3x) = (3x)² + 5(3x) + 2f(3x) = 9x² + 15x + 2f(g(x)) = 9x² + 15x + 2Answer:
[tex]f(g(x)) = 9x^2 + 15x + 2[/tex]
Step-by-step explanation:
Step 1: State the equations
[tex]f(x) = x^2 + 5x + 2[/tex]
[tex]g(x) = 3x[/tex]
Step 2: Insert the equation and solve
[tex]f(g(x)) = (g(x))^2 + 5(g(x)) + 2[/tex]
[tex]f(3x) = (3x)^2 + 5(3x) + 2[/tex]
[tex]f(3x) = 9x^2 + 15x + 2[/tex]
[tex]f(g(x)) = 9x^2 + 15x + 2[/tex]
Answer: [tex]f(g(x)) = 9x^2 + 15x + 2[/tex]
solve each inequality |8x+5|<-3
Step-by-step explanation:
[tex]| 8x - 5 | < - 3[/tex]
[tex]8x < - 3 + 5[/tex]
[tex]8x < 2[/tex]
[tex] \frac{8x}{8} < \frac{2}{8} [/tex]
[tex]x = \frac{1}{4} [/tex]
Answer:
x = 1/4
Step-by-step explanation:
A ladder leans against the side of a house. The top of the ladder is 14 from the ground. The bottom of the ladder is 10 from the side of the house. Find the length of the ladder. If necessary, round your answer to the nearest tenth.
Answer:
17.2 to the nearest tenth.
Step-by-step explanation:
Use the Pythagoras theorem
If x is the length of the ladder:
x^2 = 14^2 + 10^2
x^2 = 296
x = √296 = 17.2047