Answers
Answer:
x = 4
Step-by-step explanation:
Label the points from A-F. I attached an image of how I labeled the points.
Notice that there are similar triangles here:
[tex]\triangle ABD \sim \triangle FED[/tex][tex]\triangle ACD \sim \triangle AEF[/tex]Set up proportions to find the values of x, y, and z.
[tex]\displaystyle \text{Equation I: }\frac{FD}{AD} = \frac{FE}{AB}[/tex][tex]\displaystyle \text{Equation II: } \frac{A F}{AD}=\frac{EF}{CD}[/tex]Let's make this problem simpler by incorporating only 2 variables instead of 3. Let's say that the total distance between the two poles is distance d. Instead of z, let's call it d - y.
Substitute known values or variables into the proportions.
[tex]\displaystyle \text{Equation I: } \frac{d-y}{d} = \frac{x}{6}[/tex][tex]\displaystyle \text{Equation II: }\frac{y}{d}= \frac{x}{12}[/tex]Cross-multiply and simplify Equation I.
[tex]6(d-y)=dx[/tex] [tex]6d-6y=dx[/tex]Cross-multiply and simplify Equation II.
[tex]12y=dx[/tex]We now have two equations that are equal to dx, so we can set them equal to each other.
[tex]6d-6y=12y[/tex]Add 6y to both sides of the equation.
[tex]6d=18y[/tex]Divide both sides of the equation by 6.
[tex]d=3y[/tex]We can substitute this value of d back into either Equation I or II. I am going to substitute d into Equation II.
[tex]\displaystyle \frac{y}{3y} = \frac{x}{12}[/tex]Cross-multiply and simplify the equation.
[tex]12y=3xy[/tex]Divide y from both sides of the equation.
[tex]12=3x[/tex]Divide both sides of the equation by 3.
[tex]4=x[/tex]The guylines from the top of one pole to the bottom of the other cross at the height of 4 ft off the ground.
Related Questions
With the trend on this scatter plot, how many hours per week would a level-9 gymnast practice?
a. 2 hours
b. 9 hours
c. 15 hours
d. 6 hours
Answers
Answer: C
Step-by-step explanation:
I don't really know how to explain it
pls helppppp if you know math
Answers
Answer: 1: the second and third choices. 2: the second. 3: the third
Step-by-step explanation:
I worked them out, so you didn't have too!
will give brainly to answer this correctly
Answers
Answer:
D) 2x² + x - 10
Step-by-step explanation:
First, distribute the negative sign to all terms within the second parenthesis:
- (4x - x² + 6) = -4x + x² - 6
Next, combine like terms:
5x + x² - 4 - 4x + x² - 6
(x² + x²) + (5x - 4x) + (-4 - 6)
2x² + x - 10
2x² + x - 10 , or D) is your answer.
Answer:
2x^2+x-10 (the pink/red one)
Step-by-step explanation:
(5x+x^2-4)-(4x-x^2+6)
5x+x^2-4-4x+x^2-6
2x^2+x-10
April worked 1 1/2 times as long on her math project as Carl. For how many hours did April work on her math project?
PLEASE ANSWER ASAP!!!
Answers
Answer: 7 7/8 hours long
Step-by-step explanation:
April worked 1 1/2 times as long as Carl did. 1 1/2 can be rewritten as 3/2. Number of Hours April worked on math project 3/2 times the Number of Hours Carl worked on Math project. Which Carl worked 5 1/4 hours long, which can be rewritten as 21/4
The diagram shows two right-angled triangles. Calculate the value of x.
Answers
The value of x in the given diagram is 7cm.
What is tangent of an angle?The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
According to the given question.
We have a diagram in which we have two right angled triangles.
Now, in the upper right angled triangle
[tex]tan50 = \frac{0pposite side}{5}[/tex]
⇒ 1.19 = 0pposite side/ 5
⇒ opposite side = 1.19 × 5
⇒ opposite side = 1.2 × 5
⇒ opposite side = 6cm
Now, the opposite side w.r.t angle 50 degrees in the upper right angle triangle is a adjacent side w.r.t to angle 38 degrees in the lower right angle triangle.
So, in the lower right angle triangle.
[tex]tan38 = \frac{x}{adjacent side}[/tex]
⇒[tex]0.78 = \frac{x}{6}[/tex]
⇒ x = 0.78 × 6
⇒ x = 4.68
⇒ x = 7cm
Hence, the value of x in the given diagram is 7cm.
Find out more information about tangent of an angle here:
https://brainly.com/question/14022348
#SPJ2
Help please ASAP.
..................,,.,,..,,
Answers
Answer:
2x(3+1)
Step-by-step explanation:
Hans earns 54 dollars per week working part-time at a book store. He makes one dollar more for each book that he sells. The amount, A (in dollars), that Hans earns in a week if he sells b books is given by the following.
=A+54b
How much does Hans earn in a week if he sells 25 books?
dollars
Answers
Answer:
54 + 25 = $79
Step-by-step explanation:
I think??
Answer:
If you add 54 and 25 together you will get $79
Step-by-step explanation:
because 4+5= 9 and 5+2=7 so 79.
Is it possible to slow light to almost zero miles/second? What machine would benefit from slowing light's
speed?
Answers
Answer:
light, which normally travels the 240,000 miles from the Moon to Earth in less than two seconds, has been slowed to the speed of a minivan in rush-hour traffic — 38 miles an hour.
An entirely new state of matter, first observed four years ago, has made this possible. When atoms become packed super-closely together at super-low temperatures and super-high vacuum, they lose their identity as individual particles and act like a single super-
atom with characteristics similar to a laser.
Step-by-step explanation:
I got it wrong i need it help
Answers
Answer:
25
Step-by-step explanation:
Given,
Measurement of <1 = x + 10
Measurement of <2 = 4x + 5
Also, said in the question that both these angles are complementary.
Therefore, by the problem,
<1 + <2 = 90°
=> x + 10 + 4x + 5 = 90
=> x + 4x + 10 + 5 = 90
=> 5x + 15 = 90
=> 5x = 90 - 15 = 75
[tex] = > x = \frac{75}{5} [/tex]
=> x = 15
Now, we have got the value of x so,
Measurement of <1 is
<1 = x + 10 = 15 + 10 = 25 (Ans)
Brooke multiplied 3 and 9 and got 17. Brooke knows her answer is wrong because she knows is should be approximately
Answers
Answer: 3 times 9 is 27
Step-by-step explanation:
18. Given the following four lines, pick the true statement. Convert
Line 1: 3v = 4x + 3
Line 2: 4y = 3x - 4
Line 3: 3x + 4y = 8
Line 4: 4x + 3y = -6
A. Lines 1 and 4 are parallel
C. Lines 2 and 4 are perpendicular
B. Lines 2 and 3 are parallel
D. Lines 1 and 2 are perpendicular
Answers
Answer:
I THIK D. BECAUAE IS PARALLEL
Answer:
Lines 2 and 4 are perpendicular!
1. Good recordkeeping requires that you keep an accurate record of how you spend your money.
Answers
Answer:
True
Step-by-step explanation:
answer this correctly and i will give brainliest
Answers
Identify the percent of change as an increase or decrease. 24 songs to 78 songs. Find the percent of change
Answers
Answer:
an increase of around 30.76%
Step-by-step explanation:
24 divided by 78 = .307692307....
Answer:
225%
Step-by-step explanation:
78- 24= 54
54/24=2.25
2.25x100=225
According to the properties of inequality, when should the inequality symbol be reversed when solving a two-step inequality in the form below?
a x + b greater-than c
when a is positive
when a is negative
when b is positive
when b is negative
Answers
Answer:
B. when a is negativeStep-by-step explanation:
Inequality given:
ax + b > cWhen solving we do steps:
ax > c - bx > (c - b)/aAt the second step both sides divided by a.
When a is positive the inequality symbol remains as is, when a is negative we have to divide both sides by -1 as well. This will reverse the inequality symbol.
Correct answer choice is B.
Answer:
b
Step-by-step explanation:
Which number sentence is true?
Answers
Answer:
B
Step-by-step explanation:
hope this helps!!
On a vacation in Puerto Rico. Rose jumped off a cliff
Answers
Answer:
ummmm??
Step-by-step explanation:
On a scale drawing, a bookshelf is 8 inches tall. The scale factor is 1/8 What is the height of the bookshelf?
Answers
Answer:
8 inches = 1/8 of the real height of the book shelf
Multiply 8 by 8 because the question shows 1/8 of the book shelf
8x8=64
The book shelf is 64 inches.
or 5 feet and 4 inches.
Answer:
it would b 64 in. or 5 ft. 4 inches
Step-by-step explanation:
8x8 = 64
a truck travels 1/8 mile in 2/3 minute. what is the speed of the truck?
Answers
Answer:
fgfthvjjuuytrf46477777
Help fast please ASAP
Answers
Answer:
a rotation of 180° about point (0.5, -0.5) followed by a dilation of 0.5
Step-by-step explanation:
What is the slope of the linear equation y = -7x + 7?
Answers
Answer:
-7
Step-by-step explanation:
y = mx + b is slope-intercept form and m is the slope. In this case m = -7 so the slope is -7.
Can you guys help me solve the math question?? Like explain what I have to do step by step sorry that I’m asking for to much but you’ll get 20 points..
Answers
Answer:
yo've gotta add up all the totals, then, you devide by 15 then 8
Step-by-step explanation:
add up 25 12 80 then devide by 15 and 8
plzz help need help need help
Answers
Answer ASAP!! Please! Will give brainliest!
Answers
Find a solution to this equation
y = x + 2
Type an (x,y) ordered pair that is a solution to this equation.
Answers
Answer:
(8,10)
Step-by-step explanation:
we could start off with that x as 0
0,?
since y-intercept is 2
(0,2)
then we could put x as 8
y=8+2
so y = 10 and x=8
(8,10)
I hope this helps!!
Have a great night/day!!!(wherever you are)
L.O.L.
Find h (2)givenh(x)=-x^3-8x^2-9x+12
Answers
Answer:
-30, if I didnt mess up the work
Step-by-step explanation:
2^3-8(2^2)-9(2)+12
8-32-18+12=
20-50=-30
Please fully explain and thank you a lot
Answers
Answer:
If you aren't allowed to use calculators do (1280 - 128pi) but if you are do (877.876140341) Don't forget units in your work and answer.
Step-by-step explanation:
Volume of Rectangular prism = L*W*H = 8*10*16 = 1280in
Volume of Cylinder = pi*r^2*H = 8*pi*r^2
We know that the diameter is 8 (because that's the height of the rectangular prism as stated in the question) and diameter is 2*r thus the radius of the cylinder is 4.
therefore the volume of the cylinder is 8*pi*(4)^2 which is 128pi If you aren't allowed to use calculators do (1280 - 128pi) but if you are do (877.876140341)
Find the midpoint of line CD given C(7, 5) and D(-3, -1)
Answers
Explanation: (x1+x2/2),(y1+y2/2)
Can someone help me
Answers
Please answer this correctly I’ll mark you brainlist! :)
Answers
Answer:
53
Step-by-step explanation:
[tex]8 - \frac{m}{n} + {p}^{2} \\ \\ (plug \: m = 8, \: \: n = 2, \: \: p = 7) \\ \\ = 8 - \frac{8}{2} + {7}^{2} \\ \\ = 8 - 4 + 49 \\ \\ = 4 + 49 \\ \\ = 53[/tex]
Answer:53
Step-by-step explanation:
substitute the letters for the numbers then use pemdas