Answers
Answer:
ED = AB = 25√3
Step-by-step explanation:
Let ED = AB = X
DC = 100 - BC
Tan 60 = [tex]\frac{\sqrt{3} }{1} = \frac{ED}{DC}[/tex] = [tex]\frac{X}{100-BC}[/tex]
[tex]\sqrt{3} (100-BC) = X[/tex]
Tan 30 = [tex]\frac{1}{\sqrt{3} } = \frac{AB}{BC} = \frac{X}{BC}[/tex]
[tex]\frac{BC}{\sqrt{3} } = X[/tex]
[tex]\sqrt{3} (100-BC) = \frac{BC}{\sqrt{3} } \\3(100-BC) = BC\\300 - 3BC = BC\\300 = BC + 3BC\\300 = 4BC \\75 = BC[/tex]
X = [tex]\frac{BC}{\sqrt{3} } = \frac{75}{\sqrt{3} }\\[/tex]
X = 25√3
Related Questions
if the minimum charge of 175 calls is Rs 180 and Rs 1.50 per calls for additional calls then find the cost of calls including the charge of TSC 10% and VAT 13% as the former reading the total calls a land line phone is 5577 and the present reading 7577.Also,find the amount of payment including 20% fine
Answers
The total amount of payment for calls is Rs 648
How to find the total amount for paymentFrom the problem, the following information is deduced to help solve the problem
the minimum charge of 175 calls is Rs 180 and Rs 1.50 per calls for additional calls
The total call reading
= present reading - former reading
= 7577 - 5577
= 2000
the number of 175 calls in 2000
= 2000 / 175
= 11 3/7 approximately 12
Total cost of calls
175 calls = Rs 180 + Rs 1.50 * 12
= 180 + 1.50 * 12
= Rs 180
Adding other charges to Rs 180
= 180 * 1.1 + 180 * 1.3 + 180 * 1.2
= Rs 648
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The table below shows information about how many fans there were at two
football matches in a local tournament.
What is the difference between the number of away fans at the semi-final and at
the final?
Semi-final
Final
Total number of fans
250
400
Ratio of home fans
to away fans
6:4
7:3
Answers
The fans at the semi final is less than the fans at the final .
What is the away goal rule in FIFA?The implementation of the away goals rule makes any goals scored away from home effectively count twice when the scores are tied, as is customary in matches with home and away legs, such as the knockout stage of the Champions League.
In the UCL, do away goals still count?Champions League and Europa League, two of its premier club championships, starting in the 2021–22 season.
Semi final : 250*4/6+4 = 100
Final : 400*3/7+3= 120
Hence, The fans at the semi final is less than the fans at the final .
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Anybody can help me with this ?
Answers
Answer:
Because f(x)=y, begin by changing f(x) to the y-value, getting y=2x-4. Because we are determining the inverse of the equation, this means that the x and y-value should be switched, getting x=2y-4. Now that we're trying to isolate y, move 4 to the other side to get x+4=2y. Divide by 2 on both sides to get y=[tex]\frac{1}{2}[/tex]x+2. Now, we substitute y for f(x), but this time we put [tex]f^{-1}[/tex](x), because it's the inverse of f(x).
Here are the steps in order:
y=2x-4
x=2y-4
x+4=2y
x/2+4/2=2y/2
y=1/2x+2
f^-1(x)=1/2x+2
A standard six-sided die is rolled, and P is the product of the five numbers that are visible. What is the largest number that is certain to divide P?
A. 6 B. 12 C. 24 D.14 E.720
Answers
The largest number which certain to divide P is 12. The correct option is B.
The product of all six numbers of the six-sided die is 6! = 720.
The products of numbers which can be visible are:
720 / 1, 720 / 2, …, 720 / 6.
In this case, the answer is the largest common divisor, that is:
720 / L
where L = the least common multiple of {1,2,3,4,5,6}.
So, it is clear that L = 60.
Thus, the answer is:
= 720 / L
= 720 / 6
= 12
Hence, the largest number which certain to divide P is 12, it is option B.
What is the largest number in the world?A Googolplex is studied to be the largest number in the world. It is stated as 10^googol. The number 10^googol can also be written in the exponential format which will equal 10^10^100. When writing the number googol in normal number writing format, the probability of losing count is very high. Thus, it is more convenient to write it in the form of exponent and powers.
The number googolplex is so extremely large which is unimaginable to be expressed in number writing format. Hence, the number remains a concept as it is of no use in mathematics for basic calculations.
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Graph each equation.
12. y + 3 = 2(x - 1)
Answers
Given line in point-slope form:
y + 3 = 2(x - 1)Point-slope form is:
y - y₁ = m(x - x₁), where m - slope, (x₁, y₁) is the point on the lineWe know that to graph a line it is enough two have two points.
One of the points is (x₁, y₁) = (1, - 3).
Find one more point, when x = 3:
y + 3 = 2(3 - 1)y + 3 = 4y = 1The point is (3, 1).
Plot and connect these two points to get the line.
A magazine cover measures 28 cm by
22 cm. The title uses one-quarter of the area of
the cover. How much area is needed for the
title?
Answers
Find the Surface Area of the figure below
Answers
Answer:
132 [tex]cm^{2}[/tex]
Step-by-step explanation:
Triangle formula is 1/2 bh (4x3/2) is 6 (4 triangles)=24
Base is 6x8=48
sides are 6x5=30 then multiply by 2 of the sides =60
add all together
Penelope wants to go on a kayak trip. She has a budget of $75. To rent a kayak, there is a fixed $35 fee and an hourly fee of $4. Write an inequality that would be used to solve for the maximum number of hours Penelope can rent the kayak on her budget.
A. 35x + 4 ≤ 75
B. 35x + 4 ≥ 75
C. 35 + 4x ≤ 75
D. 35 + 4x ≥ 75
Answers
The inequality that shows the maximum number of hours Penelope can rent is 35 + 4x ≤ 75
What is an equation?An equation shows how two or more numbers and variables are related to each other.
Let x represent the number of hours to rent
There is a fixed $35 fee and an hourly fee of $4. Hence:
Total cost = 4x + 35
Penelope has a budget of $75. hence:
35 + 4x ≤ 75
The inequality is 35 + 4x ≤ 75
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Ans the question............
very urgent
Answers
Answer:
It's false.
Step-by-step explanation:
By breaking the middle term.
Put the root into equation, if it equals 0, then it's a root.
2x^2+3x-1=0
2(1/2)^2+3(1/2)-1=0
2(1/4)+3/2-1=0
2/4+3/2-1=0
1/2+3/2-1=0
(1+3-1*2)/2
4-2/2 = 1
1 is not equal to 0.
What type of angles are these???
Answers
Answer:
Alternate exterior
Step-by-step explanation:
1 and 11 are on different sides which makes them alternate and they are both on the outside
-2 1/3 - (-5) = ? can someone please help me ty!
Answers
Answer: 8/3
Step-by-step explanation:
Answer: I THINK ITS THE SENCOND ONE
Step-by-step explanation:
I need help pls answer ASAP
Answers
The value of x in the triangle WXY is 19 degrees
What is an equation?An equation shows how two or more numbers and variables are related to each other.
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
The triangle XYZ and the line YZ such that lie YZ and XW are parallel lines
Using the above as a guide, we have the following:
∠ZYW = ∠XWY (alternate angles are equal)
∠XWY = 2x (Given)
So, we have
∠XWY + ∠XYW + ∠YXW = 180° (the sum of angles in a triangle)
Substitute the known values in the above equation, so, we have the following representation
2x + (3x - 5) + 90 = 180
Open the brackets and solve
5x - 5 = 90
Evaluate the like terms
5x = 95
Divide both sides by 5
x = 19°
Hence, the value of x is 19°
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There are 30 markers in a bag. There is at least 1 red marker among any 12 randomly selected markers, and there is at least 1 black marker among every 20 randomly selected markers. How many red markers are in the the bag?
Answers
Answer:
at least 2 red markers are in the bag
Step-by-step explanation:
1/12=.0833333333
"" times 20 = 1.66666666
brainliest?
Answer:
the estimate is atleast 2 markers are in the bag
Step-by-step explanation:
wave hits an object as shown.
A vertical line with Medium 1 to the left and Medium 2 to the right. An arrow from the left reaches the line. An arrow starts from the same point on the line and goes right at a different angle.
Which kind of wave interaction is shown?
absorption
diffraction
refraction
reflection
Answers
Answer:
Refraction
Step-by-step explanation:
Since the line bends (and this can apply to light too), the line refracts, or changes the angle of direction.
Answer:
absorption
diffraction
refraction
reflection
Step-by-step explanation:
1 3/8 - 1/12 as a fraction
Answers
Answer:
31/24 or 1 7/24
Step-by-step explanation:
1 3/8 in an improper fraction is 11/8:
1 times the denominator (8)= 8, add the numerator (3), and get 11
then keep the original denominator
multiply 11/8 by 3 to get 33/24
multiply 1/12 by 2 to get 2/24
now you have the same denominator and can subtract
33/24-2/24= 31/24
Priya has planted a garden shaped like a right triangle. One leg of the triangle is 5 meters long, and the triangle formed by it and the hypotenuse is 50 grades. If Priya wants to build a fence around her garden, how many meters of fence will she need?
Answers
Answer:
Perpendicular = 6 meter (Approx.)
Length of fence required = 18.81 meter
Step-by-step explanation:
Given:
One side of triangle = 5 m
Angle with side and hypotenuse = 50°
Find:
Other sides
Length of fence required
Computation:
Using trigonometry function;
Tanθ = Perpendicular / Base
For 50° angle , 5 m is base
Tan 50 = Perpendicular / 5
1.1917 = Perpendicular / 5
Perpendicular = 5.9585
Perpendicular = 6 meter (Approx.)
Hypotenuse = √Perpendicular² + Base²
Hypotenuse = √6² + 5²
Hypotenuse = √36 + 25
Hypotenuse = √61
Hypotenuse = 7.81 meter (Approx.)
Length of fence required = 5 + 6 + 7.81
Length of fence required = 18.81 meter
True or False:
You can choose your own x-values.
True
False
Answers
The x value of a point where a vertical line intersects a function represents the input for that output y value. If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more than one input.
What is parallel lines Class 7?
Answers
Parallel lines are those lines that lie in the same plane and never intersect each other. They are equidistant from each other at every point and have the same slope.
Two lines are stated to be parallel when they do not meet at any point in a plane. This means that lines which do not have a common intersection point and never cross paths with each other are parallel to each other. The symbol used for representing parallel lines is ‘||’.
Two parallel lines are represented as:
AB║CD
That is line AB is parallel to CD.
The perpendicular length between the two parallel lines is always constant.
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6. Check whether the following numbers are perfect square or not, by expressing each as the sum of
odd numbers
a. 91
b. 196
Plz help me
Answers
Hope this helps :))
What is the measure of W the parallelogram shown?
32°
O A. 155°
O B. 32°
O C. 58°
O D. 148°
Answers
Answer:
148 degrees
Step-by-step explanation:
For a parallelogram, angles on the same side sum up to be 180
what this simply means is that they are supplementary
Mathematically, we have it that;
X + W = 180
W = 180 - X
W = 180 -32
W = 148 degree
Ryan has 1/2 pound of chocolate. He divides it into 4 equal portions. Write the amount of chocolate, in pounds, in each portion
Answers
Answer:
1/8
Step-by-step explanation:
Ryan has 1/2 pound of chocolate
He divided into 4 portions
Therefore the amount each of them will get can be calculated as follows
1/2 ÷ 4
= 1/2 × 1/4
= 1/8
Hence each portion Is 1/8
Four expressions are show below. Which expressions would give the same answer? Select TWO that apply?* Expression A: -2.43 + 1.57 Expression B: -2.43 -1.57 Expression C:-2.43 + (-1.57) Expression D: -2.43 - (-1.57) A and B A and C A and D Band C Band D C and D
Answers
Answer:
A. 2.43 kg x 1000 g/1 kg
Step-by-step explanation:
i dont really know how to explain it
but yea its A
Answer:
Same as the other person, cant explain much, im a horrible explainer, even if i did explain it would be false
Step-by-step explanation:
Its A
Find the square roots of 169. Then find 169 squared
Answers
Answer:
1. 13
2. 28561
Step-by-step explanation:
Answer:
The other guy said both but i know that the square root of 169 is 13!
Step-by-step explanation:
Brainlist?
Hope this helps!
Find the value of x.
8 20 36
Answers
Answer:
4.4
Step-by-step explanation:
do a ratio, so 8:36 = x:20
36/8=4.5
4.5x=20
x=4.4
can someone help me with this :/
solve using the quadratic formula: x=(-b +/-sqr(b^2 - 4ac)/(2a)
2x² + x - 1 = 0
answers in (pic)
Answers
Answer:
2x² + x - 1 = 0
a= 2 b= 1 c= -1
x = [ -b +- sqr rt( b^2 -4ac) ] / 2*a
x = -1 +- sqr rt (1 - 4 *2*-1) / 4
x1 = [ -1 + (sqr rt (1 +8)) / 4
x1 = ( -1 + sqr rt (9)) / 4
x1 = (-1 + 3) / 4
x1 = .5
x2 = (-1 -3) / 4
x2 = -4 / 4
x2 = -1
And to check that answer: http://www.1728.org/quadratc.htm
Step-by-step explanation:
2x³ + 4x = 3
has a solution between 0 and 1
Answers
Y = 2x^3 + 4x and Y = 3.
Graphing it should you (0.627, 3) like the image below
Please help me and actually give me the answer please
Answers
Answer:
Coin flip: 29 times
Blue spinner: 15 times
Standard cube: 18 times
Step-by-step explanation:
50% chance of head/tails, 58 x 0.5 = 29 times it will probably land on heads
60 spins/4 colors = 15 times likely each color
1,3,5 are odd, out of 6 numbers on a cube, so 50% chance, 36 x 0.5 = 18 times
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answers
Answer:
Answer A
Step-by-step explanation:
The coefficients of the x terms are 1, 4 and 7. Thus, the discriminant, b^2 - 4ac, is 16 - 4(1)(7) = -12 = -3·4. Because the discriminant is negative we know that there are two unequal, complex roots.
-4 ± i√3√4 -2 ±i√3
The roots are x = --------------------- =
2
This is Answer A.
need help quickly
The polygons are similar. x = ___ Write your answer as a decimal
Answers
Answer:0.23
Step-by-step explanation:
Mo played 30 games of chess. He won 18 of these games. (b) He played 20 more games. He had then won 64% of all of his games. How many of the 20 games did he win?
Answers
Answer:
14
Step-by-step explanation:
First of all he played a total of 50 games which he won 32 of due to 64% of 50 being 32 then you subtract the 18 games he won at the start to get 32-18=14
would be amazing if you marked this as brainliest
Answer:
Total no of games played =50
percentage of the win game=64%
total no of won games =64/100×50
=32
no of games he won of the 20 =32-18
=14
so he won 14 games from 20
hope it helps