Answer and Explain how to do both questions
Answer:
a) Area of sector TRV = [tex] 42.4\: units^2 [/tex]
b) [tex] 0.8\: units[/tex]
Step-by-step explanation:
a)
In [tex] \odot R[/tex], TW is diameter.
Therefore,
[tex] m\widehat {TVW} = 180\degree [/tex]
[tex] \because m\widehat {TV} +m\widehat {VW} =m\widehat {TVW} [/tex]
[tex] \therefore m\widehat {TV} +120\degree =180\degree [/tex]
[tex] \therefore m\widehat {TV} =180\degree - 120\degree [/tex]
[tex] \therefore m\widehat {TV} = 60\degree [/tex]
[tex] \because m\angle TRV=m\widehat{TV} [/tex]
(Measure of central angle is equal to the measure of its corresponding arc)
[tex] \therefore m\angle TRV\:(\theta) =60\degree [/tex]
Radius (r) = RW = 9 units
Area of sector TRV
[tex] =\frac{\theta}{360\degree}\times \pi r^2 [/tex]
[tex] =\frac{60\degree}{360\degree} \times 3.14\times 9^2 [/tex]
[tex] =\frac{1}{6} \times 3.14\times 81 [/tex]
[tex] =\frac{1}{6} \times 254.34 [/tex]
[tex] =42.39\: units^2 [/tex]
Area of sector TRV[tex] =42.4\:units^2 [/tex]
b)
Length of [tex] \widehat{VW} [/tex]
[tex] =\frac{120\degree }{360\degree} \times 2\pi r [/tex]
[tex] =\frac{2}{3} \times 3.14\times 9 [/tex]
[tex] =2 \times 3.14\times 3 [/tex]
Length of [tex] \widehat{VW} [/tex] [tex] = 18.84\: units [/tex]
[tex] \overline{TW} =2*RW =2*9 = 18\: units[/tex]
[tex] \widehat{VW}- \overline{TW}= 18.84-18=0.84\: units[/tex]
[tex] \widehat{VW}- \overline{TW}= 0.8\: units[/tex]
calculate the value of each of the following
Answer:
104.7664068
Step-by-step explanation:
please help ASAP i will give brainliest.
Select all the points that are on the graph of the line 2x+4y=20.
A=(1,2)
B=(10,0)
C=(5,0)
D=(1,4)
E=(0,5)
F=(0,10)
Answer:
i am sure there is B and E
.
..
.
Answer:
(0,5) and (10,0)
Step-by-step explanation:
The equation of the straight line is given by 2x + 4y = 20 .......... (1)
Now, point (0,5) satisfies the equation (1) as putting x = 0, we will get y = 5.
Now, point (0,10) does not satisfy the equation (1) as putiing x = 0, we get y = 5 ≠ 10
Again, point (1,2) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 2
Now, point (1,4) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 4
Again, point (5,0) does not satisfy the equation (1) as putiing y = 0, we get x = 10 ≠ 5
Finally, point (10,0) satisfies the equation (1) as putiing y = 0, we get x = 10 .
Therefore, only points (0,5) and (10,0) are on the graph of the line 2x + 4y = 20 (Answer)
there you go have a wonderful day!
Nicki and june win some money and share it in the ratio 5:3 buck gets £26 more than june how much did june get
Answer:
£39
Step-by-step explanation:
Given data
The sharing formula is
5:3
Let June get £x
Buck gets £26 more than june
Buck = x+26
Applying the part to part ratio method
5/3= x+26/x
cross multiply
3(x+26)= 5x
3x+78= 5x
78= 5x-3x
78= 2x
x= 78/2
x= £39
Hence June get £39
Lily surveyed all the seventh graders at her school about their favorite snack. The table shows
the results.
Answer:
we would need more
Step-by-step explanation:
geomerty help please!!!
Answer:
41 degrees
Step-by-step explanation:
Im pretty sure its 41 degrees since a straight line is 90 degress and u subtract 49 from that.
i hope this help
Please help me desperately need this please please please please I will give the brainlynest
Answer:
A 100+35m or 100+35xM (M for Months B. so you do 100+35x4= 240
Step-by-step explanation:
do 35x4 first and you get 140 and then add 100 so thats equal to 240 They you go Hope that helps
Answer:
part a. y=35x+100
part b. $140
Step-by-step explanation:
in the problem, it says 35 dollars every month making 35 the unknown
and for how much you will be spending after 4 months that would be 140 dollars
please let me know if this was wrong
hope this helps :) have a nice day !!
hundred and thous
d. 39)87 652
B
Write an explicit formula for An, the nth term of the sequence 33, 36, 39,
Answer:
30 + 3n
Step-by-step explanation:
33 , 36 , 39 .......
This is an arithmetic series
First term = 33
Common difference (d) = Second term - first term
= 36 - 33 = 3
Nth term = a + (n -1)* d
= 33 + ( n-1) * 3
= 33 + n*3 - 1*3
= 33 + 3n - 3
= 33 - 3 + 3n
= 30 + 3n
please prove it for me
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
tanx = [tex]\frac{1}{cotx}[/tex]
Consider the left side
[tex]\frac{cotA-1}{cotA+1}[/tex] ← divide terms on numerator/denominator by cotA
= [tex]\frac{\frac{cotA}{cotA}-\frac{1}{cotA} }{\frac{cotA}{cotA}+\frac{1}{cotA} }[/tex]
= [tex]\frac{1-tanA}{1+tanA}[/tex]
= right side , thus proven
6 13 multiply by 2 and then add 1
Answer:
1227 is correct ................................................
Step-by-step explanation:
Answer:
Is 6 part of the equation?
Help only one answer
Answer:
C
Step-by-step explanation:
good job you had it right
Answer:
C. 1.3
Step-by-step explanation:
1/3= 0.33
0.33+0.33+0.33+0.33= 1.3
PLS HELP PLS PLS PLS
Answer:
$ 101
It is right
In the graph y = x
When x = 0
y =
PLEASE ANSWER AND DONT JUST TSKE MY POINTS, ASAP
Answer:
x and y connect in the orgin therfore
the value of y and x is equal that mean 0
Answer:
answer is 0.
y = x
when x = 0
y = 0.
Help ASAP i dont remember how to do any of this and need help
Step-by-step explanation:
Hope I was able to help. Good luck!
2. What is the y-intercept of the following linear function?
f(x) = 2x + 4*
(2 Points)
O a. (0.4)
O b. (4.0)
O c. (-2,0)
O d. (0-2)
Evaluate -(3-1)(3-2).
Answer:
-2
Step-by-step explanation:
(−(3−1))(3−2)
=−2(3−2)
=(−2)(1)
=−2
Khloe drove 204 miles in 4 hours. if she continued at the same rate, how long would it travel 765 miles?
Answer:
15
Step-by-step explanation:
8, 12, 16,...
Find the 31st term.
Hope I helped. :)
- Valenteer
Plsss help me I’m trying to do this test
Answer:
(-3,2)
hope it helps.....
Find the perimeter of each figure by writing and solving an equation for
the variable, x.
Use the number pad to enter your answers in the boxes.
PQ=RQ what does b =
................b = 17...............
2.51, 2 2/5, 2.25, 2 7/8 in an ascending order
Step-by-step explanation:
2.875,2.51,2.25,2.4 pls follow mark as brainliest
determine the constant rate of change beetween x and y in the table
Answer:Theres no table please edit and put a table.
Can i please get answer ty
A above ground garden is rectangular and has a length of 15 feet and a height of 2 feet. It will hold 375 cubic feet of soil. What is the height of the above ground garden?
Answer: [tex]12.5\ ft[/tex]
Step-by-step explanation:
Given
Length L=15 feet
width b=2 feet
Volume V=375 cubic feet
Suppose h is the height
Volume is given by [tex]V=l\times b\times h[/tex]
[tex]\Rightarrow 375=15\times 2\times h\\\Rightarrow h=\frac{375}{30}=12.5\ ft[/tex]
A large bakery has many different products for sale. Suppose that 200 customers come in between 6 am and 10 am. Of the 200 customers, 140 order donuts, 100 order cinnamon rolls, and 80 order both. Suppose a customer is randomly selected. Find P(no donuts and no cinnamon rolls).
Out of 200 customers, the probability of a customer not ordering either donuts or cinnamon rolls is 0.2 or 20%.
Use the concept of probability defined as:
For the occurrence of an event, it is a ratio of the number of favorable outcomes to the number of total outcomes.
Given that,
Time frame: 6 am to 10 am
Total number of customers: 200
Number of customers who ordered donuts: 140
Number of customers who ordered cinnamon rolls: 100
Number of customers who ordered both donuts and cinnamon rolls: 80
To find the probability of a customer ordering neither donuts nor cinnamon rolls:
Subtract the probability of a customer ordering either donuts or cinnamon rolls or both from 1.
Now calculate:
Probability of ordering donuts:
140 out of 200 customers ordered donuts,
The probability of ordering donuts is,
140/200 = 0.7.
Probability of ordering cinnamon rolls:
100 out of 200 customers ordered cinnamon rolls,
The probability of ordering cinnamon rolls is,
100/200 = 0.5.
Probability of ordering both donuts and cinnamon rolls:
80 out of 200 customers ordered both,
The probability of ordering both is,
80/200 = 0.4.
Now, to find the probability of a customer ordering neither donuts nor cinnamon rolls,
Subtract the probability of ordering either or both from 1:
P(no donuts & no cinnamon rolls) = [tex]1 - P( \text{donuts}) - P(\text{cinnamon rolls}) + P(\text{donuts & cinnamon rolls})[/tex]
[tex]\text{P(no donuts & no cinnamon rolls)}= 1 - 0.7 - 0.5 + 0.4[/tex]
[tex]\text{P(no donuts & no cinnamon rolls)} = 0.2[/tex]
Hence,
The probability of a customer not ordering either donuts or cinnamon rolls is 0.2 or 20%.
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ12
Expand and simplify
A. (x – 2y)(y – 3x)
B. (2p+3)(p^2-4p-7)
Answer:
A. (x−2y)(y−3x)
=(x+−2y)(y+−3x)
=(x)(y)+(x)(−3x)+(−2y)(y)+(−2y)(−3x)
=xy−3x2−2y2+6xy
=−3x2+7xy−2y2
B. (2p+3)(p2−4p−7)
=(2p+3)(p2+−4p+−7)
=(2p)(p2)+(2p)(−4p)+(2p)(−7)+(3)(p2)+(3)(−4p)+(3)(−7)
=2p3−8p2−14p+3p2−12p−21
=2p3−5p2−26p−21
Hope it helps
Please mark me as the brainliest
Thank you
PLEASE HELP THIS IS DUE TODAY AND I HAVE NO IDEA WHAT THE ANSWER IS!!!!!!
Answer:
s X s - formula for area of square.
where two faces meet - Edge
Flat pattern of a 3d shape - Net
Shape with 3 or more sides - Polygon
#10 help pleaseee.....
Answer:
b) 272/p
Step-by-step explanation:
1/4(px-16)=64
1. multiply 4 on both side to cancel out 1/4
(px-16)=256
2. move -16 to the otherside (making it postive)
px=16+256
px=272
3. divide by p on both sides
x=272/p