Answers
Answer:
Step-by-step explanation:
Remark
The cos(60) = 1/2
The radii marked 6 is the adjacent side. You have to solve for the hypotenuse.
Why?
Because the hypotenuse is the distance from the center of the circle to the point of intersection of the angle. Once you have the hypotenuse, you can find the length of the tangent, which will lead to the area of the kite. Then take away 1/3 the area of the circle.
Hypotenuse
Cos(60) = 1/2
cos(60) = adjacent / hypotenuse Multiply both sides by the hypotenuse
hypotenuse * cos(60) = adjacent Divide by Cos(60)
hypotenuse = adjacent / cos(60)
adjacent = 6
hypotenuse = 6/0.5
hypotenuse = 12
Tangent
tangent^2 = 12^2 - 6^2
tangent^2 = 144 - 36
tangent^2 = 108
tangent = sqrt(108)
tangent = 6sqrt(3)
Triangles
The area of the triangle = 1/2 6sqrt(3) * 6
The area of the triangle = 18 sqrt(3)
There are two triangles so the area = 36 sqrt(3) That's the area of the kite.
Circle sector.
Area of the circle sector = 1/3 * pi * r^2
r = 6
Leave pi as it is.
Area of the circle sector = 1/3 * pi * 6^2
area of the circle sector = 12 pi
Answer
Area of the red part = area of the triangles - the area of circle sector
Area of the red part = 36*sqrt(3) - 12* pi
Related Questions
In a group of 60 numbers, average of
the first 35 numbers is 18, that of next
15 numbers is 10 and that of the
remaining is 30. What is the average
of the entire group of numbers?
a)
16
b)
17
c)
18
d)
19
Answers
Answer:
c. 18
Step-by-step explanation:
First, you would find the total sum of the 60 numbers. The average is always the sum of the numbers divided by the number of numbers.
35*18=630
15*10=150
Now we do not know how many numbers the last group has. However, we can find it out doing 60-35-15 to see how many numbers are left. There would be 10 numbers left
10*30=300
630+150+300=1080
1080/60=18
Hence, the answer is C(18)
Find the length of the segment indicated. Round to the nearest tenth if necessary.
Answers
Answer:
x=5
Step-by-step explanation:
x is the length of the line segment from the center to the boderline of circle. So x=5
find the following ratios right triangle. PLS HURRY and disregard my answers.
Answers
Answer:
sinA= 5/13; cosB= 5/13
Step-by-step explanation:
sine is opposite over hypotenuse so 5/13. cosine is adjacent over hypotenuse so 5/13
hlol can u plz solve b no plz plz.....I will mark as brainliest
Answers
Answer:
Step-by-step explanation:
[tex]Tan \ B =\frac{4}{3} = \frac{opposite \ side \ of B}{adjacent \ side \ of B}[/tex]
BC = 15 cm
3x = 15
x = 15/3 = 5
AB =4x = 4*5 = 20 cm
Pythagorean theorem,
AC² = AB² + BC²
= 20² + 15 ²
= 400 + 225
= 625
AC = √625 = 25 cm
AC = 25 cm
[tex]Sin \ A = \frac{opposite \ side \ of \ angle A }{hypotenuse}\\\\ = \frac{BC}{AB}=\frac{15}{25}=\frac{3}{5}[/tex]
Violet is playing a board game with her friends. She earns 78 points during the game, and she receives a game-end bonus for achieving her secret objective. With her bonus, Violet came in second place with 91 points. Let b be the number of points Violet earned for the game-end bonus. Write and solve an equation for b.
Answers
Answer:
13
Step-by-step explanation:
78 + b = 91 Equation: Subtract 78 from both sides.
b = 91 - 78
b = 13
You don't need her position in the game or the fact that 91 placed her second.
Solve the equation |8y+4|=2|y−1|.
Explain.
Answers
[tex]\\ \sf\longmapsto |8y+4|=2|y-1|[/tex]
[tex]\\ \sf\longmapsto 8y+4=2y-1[/tex]
[tex]\\ \sf\longmapsto 8y-2y=-1-4[/tex]
[tex]\\ \sf\longmapsto 6y=-5[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{-5}{6}[/tex]
the length and breadth of a hall is two times its breadth and the breadth is two times its height if the cost of papering its wall at rs 25 per sq metre is rs 10800 find the cost of paving marbles on its floor at rs 250 per sq .metre
.•♫•♬•plzz helpp•♬•♫•.•♬•♫•.
Answers
Answer:
Answer
Let height of the room be 'h' m.
∴ length of the room=2hm
breadth of the room=
2
3
hm.
area of 4 walls=
1.60
179.20
=112m
2
2(l+b)×h=112
2(2h+
2
3
h)×h=112
2×
2
7
×h
2
=112
h
2
=
14
112×2
=16
h=
16
=4m
length=4×2=8m, breadth=
2
3
×4=6m
for, tiling the floor area=l×b=8×6=48m
cost of tiling=48×6.75=Rs.324
i need serious helpplease its confusing....
Answers
area: 40p² + 24p
wide: 8p
(40p² + 24p)/ 8p
5p + 3
so, length: 5p + 3 -> (a)
perimeter = wide x 2 + length x 2
16p + (10p + 6)
26p + 6 -> (b)
PLZ Help! I'm crying over this....
Answers
Answer:
D
Step-by-step explanation:
The correct option is the Car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.
From the graph we can tell that the distance of the car is a function and it's a line
Answered by G a u t h m a t h
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answers
Answer:
B
Step-by-step explanation:
Total surface area=Sum of all figure area
=380+928+380+608=2296
find the common ratio 3, 9, 27, 81
Answers
Multiplying by 3
Step-by-step explanation
3 to 9 = 3 x 3
9 to 27 = 9 x 3
27 to 81 = 27 x 3
Therefore, the common ratio is multiplying by 3
81/27 = 3
27/9 = 3
9/3 = 3
Write an expression in simplified form for the area of each rectangle. Width: 7 Length: 5n-9
Answers
Answer:
35n - 63
Step-by-step explanation:
The area of a rectangle is given by
A = l*w where l is the length and w is the width
A = 7(5n-9)
Distribute
A = 35n - 63
Area of rectangle = Length * Width
Length is 5n-9
Width is 7
⇛Area = 5n-9(7)
⇛Area = 33n - 63
Andrew believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request. He asked 500 students at his school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?” The results are shown in the table below:
(attached)
Help Andrew determine if all students at his school have an equal opportunity to get the math class they requested. Show your work and explain your process for determining the fairness of the class assignment process.
Answers
Answer:
Honor students have a probability of 43% to non-honor students 25%.
Step-by-step explanation:
Prob of honor student getting math class choice = 215/500 = 43%
Prob of non-honor student getting math class choice = 125/500 = 25%
Please do a explanation:’)
Answers
Answer:
3x-3xy-2xy-5x+6. ( multiply the number that were outside the bracket)
By BODMAS rule...
= 3x-5x-3xy-2xy+6
= -2x-5xy+6
hope you understood...
Answer and Step-by-step explanation:
We are given an expression to simplify. According to PEMDAS
(Parenthesis, Exponents, Multiplication, Division, Addition, and Subtract [in that order]), we need to start with the parentheses first.
With what we are given, we need to multiply the value outside of the parenthesis to the values inside the parenthesis.
Start with the first set of terms in the expression.
3(x - xy)
We need to multiply 3 to the x and negative xy.
3x - 3xy
Now we go to the next set of terms in the expression.
-x(2y + 5)
Distribute the x (multiply) to the 2y and 5.
-2xy - 5x
Now, we combine like terms within the entire expression.
Combining like terms is essentially saying to combine the terms that have similar properties/values. We have values that have an x with it, and xy with it, and no variables with it. We can combine only the values with the x variable together, and the values with the xy variable can only be combined together. The values without the variables (if you have more than one), will combine only with each other.
3x - 3xy - 2xy - 5x + 6
____________________________________________
-5xy - 2x + 6 <- This is the final answer; the simplified version of the expression.
#teamtrees #PAW (Plant And Water)
Daniel buys a new car.
In the first year, the value of the car decreases by 12% of its original value.
The value of the car at the end of the first year is £9680.
(a) Work out the original value of the car.
The value of the car at the end of the first year is £9680.
In each of the second year, the third year, fourth year and the fifth year, the value of the car decreases by
x% of its value at the beginning of each year.
The value of the car at the end of the fifth year is £5000.
(b) Work out the value of x.
Give your answer correct to 3 significant figures.
Answers
Answer:
Step-by-step explanation:
Value of the car at the end of the first year = £9680
Depreciation = 12 %
Original price = £ x
If we reduce 12% of original price from x, we will get £9680
x - 12% of x = £ 9680
[tex]x-\frac{12}{100}x=9680\\\\\\\frac{88}{100}x=9680\\\\x=9680*\frac{100}{88}\\\\x = 11000[/tex]
Original price = £ 11000
Find the value of x in the parallelogram.
Answers
Answer:
75
Step-by-step explanation:
Since the two angles are on the same side of the parallelogram, they're supplementary.
x + (2x - 45) = 180
3x - 45 = 180
3x = 225
x = 75
In the town of Rockville, 35 of the students in middle school participate in organized sports after school. If 14 of them play basketball, what fraction of the students play basketball?
Answers
Answer:
2/5
Step-by-step explanation:
The fraction that play basketball is the number that play basketball over the total
14/35
Divide the top and bottom by 7
2/5
helpppppppppppppppppppppp..... .......
Answers
Answer:
[tex]{ \sf{( \sec \theta - \csc \theta)(1 + \tan \theta + \cot \theta) }} \\ = { \sf{( \sec \theta + \tan \theta \sec \theta + \cot \theta \sec \theta) - ( \csc \theta - \csc \theta \tan \theta - \csc \theta \cot \theta)}} \\ = { \sf{( \sec \theta + \sec \theta \tan \theta + \csc \theta) - ( \csc \theta - \sec \theta - \csc \theta \cot \theta)}} \\ = { \sf{ \sec \theta \tan \theta + \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}[/tex]
What does 2x+1=3x-4 equal?
Answers
Answer:
5
Step-by-step explanation:
2x + 1 = 3x - 4
-2x -2x
--------------------
1 = x - 4
+4 +4
----------------
5 = x
The answer is 5.
Hope this helped.
PLEASE ANSWER FAST
The solution set x s2 or x> 4 is consistent with an equation of the form
Answers
Answer:
yes
Step-by-step explanation:
it is not correct I think
What is | −34 | ?
-------
l l
-------
l l
--------
Answers
Step-by-step explanation:
Here,
| −34 |
= 34
As,
| | are absolute symbols so it's denote only the neutral number such as, | - 1 | = 1
Answer:
34
Step-by-step explanation:
|-34|
The absolute value bars means taking the non-negative value
|-34| = 34
To join the tennis club, there is a $10.20
initial fee and a $3.90 yearly fee. What
would be the value of the slope in this
situation?
Use this space to write down notes or work through problems
Your teacher will see what you wrate.
Answers
Answer:
10.20
Step-by-step explanation:
Let
y = Total fee
Initial fee = $10.20
Yearly fee = $3.90
Number of years = x
The equation:
y = 3.90x + 10.20
Recall,
y = mx + c
Where,
x = slope
c = y - intercept
Therefore,
The y - intercept from y = 3.90x + 10.20 is 10.20
indices-find The value of 6*7^3
Answers
Answer:
[tex]6 * 7^3 = 2058[/tex]
Step-by-step explanation:
Given
[tex]6 * 7^3[/tex]
Required
Solve
App;y law of indices:
[tex]6 * 7^3 = 6 * 7*7*7[/tex]
Multiply
[tex]6 * 7^3 = 2058[/tex]
Helpppppppppp I need help
Answers
Answer:
she is 4 years old just divide 39 by 9
Thank you so much thank y’all for your help
Answers
Answer:
2(4) + 2(l) >14 (second option is the answer).
Hope this is correct!
Write parametric equations of the line [tex]-4x+y=-2[/tex]
a. [tex]x=t, y=4t-2[/tex]
b. [tex]x=t, y=-4t-2[/tex]
c. [tex]x=t, y=4t+2[/tex]
d. [tex]x=t, y=-4t+2[/tex]
Answers
Answer:
Option a
Step-by-step explanation:
Assign a value to variable x =t
Eq becomes
-4t+y=-2
y=4t-2
Explain why they substituted cos(60) with 1/2 ?
(Look at image)
Answers
9514 1404 393
Answer:
equals can be substituted anytime anywhere
Step-by-step explanation:
cos(60°) = 1/2, so wherever one appears, the other can be substituted. This is allowed by the substitution property of equality.
__
If you don't substitute at some point, you find the answer to be ...
x = 10/cos(60°)
Most of us are interested in a numerical value for x, so we prefer that cos(60°) be replaced by a numerical value.
if the ordered pairs (x-2,3y+1) and (y+1,x+3) are equal,find x and y
plz help me
Answers
x=y+3
3y+1=x+3
x=3y-2
3y-2=y+3
3y-y=5
2y=5
y=2.5
x=(2.5)+3
x=5.5
I need help ASAP!!!Please explain the answer
Answers
Answer:
The formula for area is length times width.
it's 8m long, and 6m wide. When we multiply it, we get 48m that is for one side of the cube, so we count how many sides there is. There's 6, so we multiply 6 times 48 and the complete surface area for the whole cube is 288m
find the missing side lengths answers are in simplest radical form with the denominator rationalized.
Answers
Answer:
Option B is the answer
Step-by-step explanation:
x= 8, y=4√2
We know from pythagorean's law
(Hypotenuse) ^2 = (base)^2 + (height) ^2
