Answer: The answer is 139 feet
H = height of the pole =?
BC = ED = height of the transit = 4 ft
CD = BE = distance moved away from the base of the pole = 140 ft
Consider the ΔABE
tan44 = AE/BE
tan44 = h/140
h = 140 tan44
h = 135.2 ft
H = height of pole = AE + ED = h + ED = 135.2 + 4
H = 139.2 ft
Step-by-step explanation:
1. The diagram shown is two intersecting lines. The measure of <5is 47°.
(a) What is the measure of 27 ? How do you know. Explain your answer in complete sentences.
(b) Suppose the measure of 26 can be represented by (2x - 5). What equation can be written to solve
for the value of x?
(c) What is the value of x?
The measure of ∠7 is 47°. Angle 7 is a vertical angle to angle 5
Suppose the measure of ∠6 is represented represented by (2x - 5), the equation that can be use to solve for x is 42 + 2x = 180
The value of x is 69
Vertical opposite anglesVertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
Vertical opposite angles are congruent. Therefore,
a. ∠5 ≅ ∠7 (vertical angles)
Therefore, angles 5 and 7 are congruent angles.
∠7 = 47°
b. Suppose ∠6 = 2x - 5 . let's find x
Therefore,
∠5 + ∠6 = 180(angle on a straight line)
The equation to solve the above is as follows:
47 + 2x - 5 = 180
42 + 2x = 180
2x = 180 - 42
2x = 138
x = 138 / 2
x = 69
learn more on intersecting lines here: https://brainly.com/question/24715845
Answer:
a) <5 and <7 have congruent angles. That means that both angles are equal, they have the same measure. This means that the measure of <7 is 47°.
<7 = 47°
b) 5 and 6 are adjacent, so this is the equation that we have to do to solve for the value of x.
<5 + <6 = 180°
47° + (2x - 5)° = 180°
c) To solve the linear equation we need to isolate x.
47° + (2x - 5)° = 180°
(2x - 5)° = 180° - 47° = 133°
2x - 5 = 133
2x = 133 + 5 = 138
x = 138/2 = 69
Nine people go to a show. The adult tickets are $15 and the children tickets are $7. The total cost was $87, How many children and adults are there?
Answer:
2 adults, 8 children.
Step-by-step explanation:
just add the prices together.
The product of 3 and x is negative 18.
Answer: -6
Step-by-step explanation:
we know that 3x6=18
But, if you make it -6,
It will be -18!
I was reading a book of 560 pages. On Sunday, I was able to finish 1/4pages of the book. How many pages do I read on Sunday?
Answer:
140
Step-by-step explanation:
560. 1
____. ÷. ______
1. 4
Cross out the numbers that are divisible
560/4 = 140
Help! Please graph it well, ect. I need this ASAP.
Answer:
(0,-4)(2,0) put that in there and connect them
Step-by-step explanation:
4. The two trapezoids below are similar. What is the
length of EF?
24 cm
A
B
7.5 cm
G
H
ㅁ
F
UL
х
E
C
30 cm
An ant walks 9 3/4 feet in 3/4 minute. The distance in feet the ant walks is directly proportional to the time in minutes the ant walks. What is the constant of proportionality that relates the distance in feet the ant walks to the time in minutes it takes the ant to walk that distance?
Answer:
[tex]7\frac{5}{16}[/tex] ANSWER (C.
Step-by-step explanation:
Multiply [tex]9\frac{3}{4}[/tex] by [tex]\frac{3}{4}[/tex] to get [tex]\frac{117}{16}[/tex]
-
[tex]7\frac{5}{16} = \frac{117}{16}[/tex]
because 7 multiply by 16 plus 5 = 117
So 117 over 16
is the same as [tex]7\frac{5}{16}[/tex] .
A soccer team is playing a game in a stadium. The team fills a total of
592
592 seats on one side of the field and
238
238 seats on the other.
Answer:
anyone know the real answer please i need helpppppppp
Step-by-step explanation:
please
You got 250 from your mom and your dad 250 and bide something for 450 and your friend takes 30 and your mom takes 10 and you dad takes 10 and everyone asks for there things back so you give your mom 240 and you dad 240 and your friend give you 30
Answer:
-450 dollars
[tex]500 - 450 = 50\\50 - 50 = 0\\0 - 480 = -480\\-480 + 30 = -450[/tex]
I hope this helps! Have a great day.
Answer:
-$450
Step-by-step explanation:
yup
How many points should the player lose for not rolling doubles in order to make this a fair game?
Three-fifths
5/8
5
10/6
Answer:
5 but fair losing would be three-fifths
Step-by-step explanation:
. Find the remainder when x3 - 9x2 + 6x + 2 is divided by x - 1
Answer:
0
Step-by-step explanation:
when f(x) is divided by (x - h) then the remainder is f(h)
f(x) = x³ - 9x² + 6x + 2 with h = 1 , then
f(1) = 1³ - 9(1)² + 6(1) + 2 = 1 - 9 + 6 + 2 = 0
since the remainder is 0 then (x - 1) is a factor of f(x)
WILL MARK YOU BRAINLIEST!!
Ryan has collected 7 grasshoppers, 8 butterflies, and 9 katydids. Which
statement is NOT true?
The ratio of butterflies to katydids in Ryan's collection is 8:9.
For every 9 grasshoppers in Ryan's collection, there are 7 katydids.
There are 7 grasshoppers for every 8 butterflies.
The ratio of katydids to the total number of insects in Ryan's collection is 3 to
8.
Answer:
For every 9 grasshoppers in Ryan's collection, there are 7 katydids.
Step-by-step explanation:
you invest 5000$ into an account that is gaining 2.6% annual interest compounded continuously
how much will be in the account in 5 years
How much will be in the account in 10 years
Answer:5 years is 650 10 years is 1300
Step-by-step explanation:
If the function g(x) goes through the point
(-1,11), then the function -g(x) must go
through what point?
-
Help
Answer:
(-1,-11)
Step-by-step explanation:
Since the Transformation happened to the g(x)
where we multiplied g(x) by -1 and g(x) represents the y-value
so the y-value will be multiplied by -1
New y-value = 11*-1 = -11
so the New Point will be (-1,-11)
What is the solution of the equation?
3 5√ (x + 2) 3 + 3 = 27
explanation would be appreciated.
Answer:
x = (274/25)
Step-by-step explanation:
STEP 1:Isolate the square root on the left hand side
STEP 2:Eliminate the radical on the left hand side
STEP 3:Solve the linear equation
STEP 4:Check that the solution is correct
Original equation, root isolated, after tidy up 5√x+2 = 18 Plug in (274/25) for x 5√(274/25)+2 = 18 Simplify 5√12.96 = 18 Solution checks !! Solution is: x = (274/25)
Answer:
that is if 35 at the beginning
x= -[tex]\frac{2386}{1225}[/tex]
and if it is 5
x=[tex]\frac{14}{25}[/tex]
Find the length of AC. Round your answer to two decimal places. A 10 in. b 40° C B a
Using relations in a right triangle, it is found that the length of AC is of 6.43 inches.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.In this problem, the length of side AC is b, which is opposite to the angle of 40º, while the hypotenuse is of 10 in, hence:
[tex]\sin{40^\circ} = \frac{b}{10}[/tex]
[tex]b = 10 \times \sin{40^\circ}[/tex]
Using a calculator:
[tex]b = 6.43[/tex]
More can be learned about relations in a right triangle at https://brainly.com/question/26396675
find the angle measure of X, Y and Z
Answer:
y= 76
x=104
z=104
...
....
....
....
...
A smartphone costs $120. Sales tax is 5%. What is the total cost, including tax?
Answer:
$126
Step-by-step explanation:
5% of 120 is 6.
Then add it since it askes the total including tax.
6 + 120 = 126
1 box = $ 0.054, how many boxes will the guy get if he pay $50?
Answer:
He would get 30 boxes I think
Step-by-step explanation: I did the math, I hope its correct
A round race track has a radius of 75 yards. What is the circumference of the race track?
Answer:
471.24
Step-by-step explanation:
The formula for circumference is 2×pi×r. Replace the r with 75 and multiply.
circumference of the race track = 471.24 yards.
What is circle?A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.
Given,
radius of race track r = 75 yards
circumference of the park = 2πr
= 2×3.1416×75
= 471.24 yards
471.24 yards is the circumference of the race track.
Learn more about circle here:
https://brainly.com/question/29142813
#SPJ2
Solve 2 – 4<5. Graph the solution.
The solution is
Answer:
x < 9
Step-by-step explanation:
Move the -4 over as if there was an equal sign so that x < 9
Take the arrow that looks like this "<---O" that is not filled in and put it on the number 9.
Let me know if this helps <3
Answer:
x < 9
Step-by-step explanation:
The graphed solution starts with a open circle on the 9 number on the number line. Then there is a line that extends from the open circle all the way to the left.
8. A Chinese Pie Stand offers a delicious triangular shaped, chewy, green onion pie. You can also order the pie with any or all of 4 luxurious toppings: heavenly beef, earthly chicken, salty ocean fish, and spicy insanity crazy chili. How many ways can a pie be ordered?
What is the rectangular form of the polar equation?
Answer:
C
Step-by-step explanation:
r - rcosθ = 6
r - x = 6
r = 6 + x
r² = (6 + x)²
x² + y² = 36 + x² + 12x
y² = 36 + 12x
12x = y² - 36
x = y²/12 - 3
That is C
what is the output of y=1/3x-4 if the input is 18
Answer:
2
Step-by-step explanation:
Input is X, which is 18
Y = ⅓(18) - 4
= 6 - 4
= 2
Which values complete the function?
F(x)= (X- ) (x+ )
Answer:
f(x)= -1(x-3)(x+4)
First blank: -1
2nd blank: 3
3rd blank: 4
Step-by-step explanation:
When the parabola is flipped upside down (opened downward) there should be a negative in front. So the first blank is -1. Also, this parabola has not been stretched or smashed, that's why the value is a 1. Again, negative, because its reflected (flipped).
The other two blanks will come from the x-intercepts. The curve crosses the x-axis at 3 and -4.
If x = 3, then
subtracting 3 from both sides
x - 3 = 0
That x-3 is the
x - blank in the problem. Fill in a 3.
If x = -4, then adding 4 to both sides,
x + 4 = 0
Likewise, this x+4 is the
x + blank
in the question. Fill in a 4.
Answer:
-1, 3, 4
Step-by-step explanation:
A person distributed his property of Rs 1000000 among his three sons and one daughter. Each son got 27% of the property. How much did the daughter get?
[tex] \mathscr{HELP!!}[/tex]
Answer:
Rs 190000
Step-by-step explanation:
Total property = Rs 1000000
For 1 son= 27% of the property
For 3 sons=27%×3= 81%
For daughter=100%-81%=19%
Now,
For daughter
19% of Rs 1000000
19/100 × Rs 100000
Rs 190000
Hence the daughter will get Rs 190000
A house is 19 ft tall. Its shadow is 40 ft long at the same time the shadow of a nearby building is 300 ft long. Find the height of the building
ANswer: 161.5ft???.....
You are considering adding a new food product to your store for resale. You are certain that, in a month, the minimum demand for the product will be 6 units while the maximum demand will be 8 units. The estimated demand for this new product in any given month is 6 units (p=0.1), 7 units(p=0.4), and 8 units(p=0.5). If you choose to purchase 7 units for resale this month, what is the probability of selling all 7 units?
Answer:
Using EMV analysis, the number of units of the new product should be purchased for resale = Purchase 7.
The maximum EMV of profit you can make is 270.
Explanation:
We can use the following method to solve the given problem
Solution:
Using EMV analysis,
EMV (Purchase 6 for resale)= 6(40)(0.1) + 6(40)(0.4) + 6(40)(0.5)=240
EMV (Purchase 7 for resale) = [6(40)-60](0.1) +7(40)(0.4) + 7 (40)(0.5) = 270
EMV (Purchase 8 for resale) = [6(40)-2(60)] (0.1) + [7 (40) - 60] (0.4) + 8(40)(0.5)= 260
Largest EMV= 270; Choose to purchase 7 units for resale.
Step-by-step explanation:
Hopefully this helps :)
Please I need help on this and I will give brainliest!!!!!!!!!
Answer:
Step-by-step explanation:
I went onto desmos to see if any were parallel or perpendicular and I don't think that any of them are, so your answer is correct.
QUESTION:-
Evaluate:
[tex] \rm{}a. \displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8} \: \: \: \: \: \: \: \: \: \: \: \: b.6 \frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} }[/tex]
Don't spam
Answer:
#a
[tex] \implies\displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8}}[/tex]
LCM of 4,6 and 8=2×2×3×2=24Converting each of them into equivalent like fractions,
[tex] \implies{ \displaystyle \frac{3}{4} = \frac{3 \times 6}{4 \times 6} = \frac{18}{24} }[/tex]
[tex] \implies{ \displaystyle{ \frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} }}[/tex]
[tex] \implies{ \displaystyle{ \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} }}[/tex]
[tex]{ \displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8} = \frac{18}{24} + \frac{20}{24} + \frac{21}{24} = \frac{59}{24} = 2\frac{11}{24} }}[/tex]
Shortcut method:-
[tex]\implies{ \displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8} }}[/tex]
[tex]\implies{ \displaystyle{ \frac{3 \times 6 + 5 \times 4 + 7 \times 3}{24} }}[/tex]
[tex]\implies{ \displaystyle{ \frac{18 + 20 + 21}{24} }}[/tex]
[tex]\implies{ \displaystyle{ \frac{59}{24} = 2 \frac{11}{24} }}[/tex]
Remarks:-
Whenever the answer is an improper fractions we should convert the answer into mixed number.Always reduce the answer to the lowest terms.You should try to do mental work and apply the shortcut method.#b
[tex]\implies{ \displaystyle{6 \frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} }}[/tex]
Convert to improper fractions,[tex]\implies{ \displaystyle{ \frac{19}{3} + \frac{17}{6} + \frac{34}{9} }}[/tex]
LCM of 3,6,9=3×3×2=18[tex]{ \displaystyle{ \frac{19}{3} + \frac{17}{6} + \frac{34}{9} = \frac{19 \times 6 + 17 \times 3 + 34 \times 2}{18} }}[/tex]
[tex]\implies{ \displaystyle{ \frac{144 + 51 + 68}{18} }}[/tex]
[tex]\implies{ \displaystyle{ \frac{233}{18} = 12 \frac{17}{18} }}[/tex]
Alternatively,
[tex]\implies{ \displaystyle{6 \frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} }}[/tex]
[tex]\implies{ \displaystyle{(6 + 2 + 3) + \frac{1}{3} + \frac{5}{6} + \frac{7}{9} }}[/tex]
[tex]\implies{ \displaystyle{11 + \frac{1 \times 6 + 5 \times 3 + 7 \times 2}{18} }}[/tex]
[tex]\implies{ \displaystyle{11 + \frac{35}{18} }}[/tex]
[tex]\implies{ \displaystyle{11 + 1 \frac{17}{18} }}[/tex]
[tex]\implies{ \displaystyle{12 + \frac{17}{18} }}[/tex]
[tex]\implies{ \displaystyle{12 \frac{17}{18} }}[/tex]
[tex] \large \sf \frac{3}{4} + \frac{5}{6} + \frac{7}{8} [/tex]
Write all numerators above the least common denominator 24
[tex] \large \sf \frac{3 \times 6 +5 \times 4 + 7 \times 3 }{24} [/tex]
Multiply the numbers
[tex] \large \sf \frac{18 +20 + 21 }{24} [/tex]
Add the numbers
[tex] \large \sf \frac{59 }{24} [/tex]
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
#b[tex] \large \sf 6\frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} [/tex]
Convert the mixed number to an improper fraction
[tex] \large \sf \frac{19}{3} + \frac{17}{6} + \frac{34}{9} [/tex]
Write all numerators above the least common denominator 18
[tex] \large \sf \frac{19 \times 6 + 17 \times 3 + 34 \times 2}{18} [/tex]
Multiply the numbers
[tex] \large \sf \frac{114+ 51 + 68}{18} [/tex]
Add the numbers
[tex] \large \sf \frac{233}{18} [/tex]