Answer:
1. 10.8 radians
2. 236.3 meters
Step-by-step explanation:
The restaurant at the top of a very tall building in Seattle rotates 1.02 revolutions every hour. Chelsea sits 21.9 m from the center of the restaurant near a window.
1. Through how many radians does Karen turn in 101 minutes?
1 revolution = 360°
Hence since Seattle rotates 1.02 revolutions every hour
Step 1
We convert to degrees per minute
= (360 × 1.02 revolutions/hour)/60 minutes
= 6.12 degrees per minute
Step 2
Convert to radians
Number of minutes = 101 minutes
Hence:
(6.12 degrees per minute × 101 ) × π/180
= 10.788229172 radians
Approximately = 10.8radians
2. How far does Karen move in 101 minutes?
We are to calculate the distance in question 2.
We know that: Chelsea sits 21.9 m from the center of the restaurant near a window.
Therefore,
2 × π × 2.19m = 137.60175823
[6.12 degrees per minute × 101 minutes × 137.60175823]/360
= 236.26221888 meters
Approximately = 236.3 meters
Give the coordinates of each transformation of (2, –3)
1. horizontal translation of 5
2.vertical translation of –1
3.reflection across the x-axis
4. reflection across the y-axis
Answer:
Step-by-step explanation:
Determine whether the relation is a function. Explain. {(2,5),(4,−2),(3,3),(5,4),(−2,5)} *
No; the elements –2, 3, 4, and 5 are in both the domain and the range.
Yes; for each element of the range, there is only one element of the domain.
No; the element 5 occurs twice in the range.
Yes; for each element of the domain, there is only one element of the range.
Answer:
Yes; for each element of the domain, there is only one element of the range.
Step-by-step explanation:
A set (x,y) represents a function if for each value of x(domain), there is only one respective value of y(range).
In this question, yes, for each value of x(2,4,3,5,-2), there is only one respective value of y, so it represents a function.
The correct answer is given by:
Yes; for each element of the domain, there is only one element of the range.
What is the area of the shaded region?
(25/1 - 48) cm
(2571 - 30) cm
(2572 - 24) cm
(2571 – 12) cm2
Answer:
Option (3)
Step-by-step explanation:
From the figure attached,
Area of the shaded region = Area of circle - (Area of the ΔOAB + Area of ΔOED)
Area of the circle = πr²
= π(5)²
= 25π cm²
Area of ΔOAB = 2(Area of ΔOCB)
AB = 6 cm
OC = 5 - 1 = 4 cm
By applying Pythagoras theorem in ΔOCB,
OB² = OC² + BC²
5² = 4² + BC²
BC² = 25 - 16
BC = √9 = 3 cm
Area of ΔOCB = [tex]\frac{1}{2}(OC)(BC)[/tex]
= [tex]\frac{1}{2}(4)(3)[/tex]
= 6 cm²
Area of ΔAOB = 2(6) = 12 cm²
Area of ΔAOB = Area of ΔDOE = 12 cm²
Area of shaded region = 25π - (12 + 12)
= (25π - 24) cm²
Therefore, Option (3) will be the answer.
EMERGENCY HELP PLEASE
Answer:
11x+21
Step-by-step explanation:
blue square= x squared
green square=3x
pink square=7x
orange square=21
=
11x+21
Translate the following words into an expression:
The quotient of "y" and 3
A. Y/3
B. 3/y
C. 3y
D. Y * 3
How to identify if the problem is a sample deviation problem or a population deviation problem?
Answer:
what?????????????????
Rewrite as a simplified fraction. 0.51 = ?
the one is repeating btw
Answer:
17/33
Step-by-step explanation:
100 x = 51.51
100 x − x = 51.51 − 0.51
99 x = 51
divide both sides by 99 to get x as a fraction.
x=51/99
=17/33
Answer:
23/45
Step-by-step explanation:
This is directly from Khan academy itself as I got this question too.
(The red marker is the incorrect answer I put in before.)
In the diagram of collin ear points, LP=27, LM=NP, and MN=3
16. LM=
17. NP=
18. MP=
19. NL=
Answer:
Step-by-step explanation:
Given:
LP = 27
LM = NP
MN = 3
16). LP = LM + MN + NP
27 = LM + 3 + LM
27 = 3 + 2(LM)
LM = 12
17). Since, LM = NP
NP = 12
18). Since, MP = MN + NP
MP = 3 + 12
MP = 15
19). NL = LM + MN
NL = 12 + 3
NL = 15
Two less than the quotient of a number and 3 is 16. What is the number? Let n be the unknown number
Answer:
13
Step-by-step explanation:
16/1 -3/1 = 16-3
= 13answer is unknow no.
Joanna received a loan from the bank for $5,000, and she plans on paying the loan back in 3 years. She will have paid $800 in simple interest. What is the simple interest rate of the bank loan? *
1 point
.05%
5.3%
18.75%
Answer:
5.3 is the amswer! Hope u pass
Kendra just bought a new house and needs to buy new sod for her backyard. If the dimensions of her yard are 24.6 feet by 14.8 feet , what is the area of her yard
Answer:
364.08 Feet
Step-by-step explanation:
Answer:
Step-by-step explanation:
the yard will have the area is A= L*W
A=24.6*14.8=364.08 ft^2
Find the domain and range. Graph the relation and determine whether it is a function or not
{(0,0)(1,-1),(2,-4),(3,-9),(4,-16)}
please help im about to fail math
The domain is the set of all x-coordinates and
the range is the set of all y-coordinates.
So the domain for this relation is {0, 1, 2, 3, 4}
and the range is {0, -1, -4, -9, -16}.
Now, I graph these points below.
For the relation tobe a function, it must pass the vertical line test.
If we can draw a vertical line that passes through only one point
anywhere on the graph, the relation is a function.
Notice that if you were to draw a vertical line,
no line would intersect two points on the same line.
aight man plz help me lol
Base 72; percentage 12
Answer:
16.67
Step-by-step explanation:
12 is what percent of 72? = 16.67
Answer:
exactly. 16.67
is the answer its process is simple suppose x
I will give brainiest to whoever answers correctly !!
Answer:
august 1st
Step-by-step explanation:
Can someone help me with this question?
Answer:it is A
Step-by-step explanation:
10 points Find the missing angle.
Answer: 63
Step-by-step explanation:
Add the two numbers you have then subtract from 180 because a triangle is 180 degrees
Find the value x and write the property used here.
Step-by-step explanation:
Soln,
Here,
45°+65°+y(let)=180°[ being a triangle]
or,110°+y=180°
or,y=180°-110°
so,y=70°
Now,
x=?
so,
x+y=180°[being straight angle]
or,x+70°=180°
or,x=180°-70°
x=110°
THEREFORE,x=110°
solved!
Answer:
x = 110°
Step-by-step explanation:
Exterior angle property states that the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
x = 45° + 65° = 110°
six less than six times a number is 12
Answer:
x = 3
equation: 6x - 6 = 12
Step-by-step explanation:
6x - 6 = 12
aka:
6x + -6 = 12
+6. +6
6x = 18
/6. /6
x = 3
check: 6(3) - 6 = 12
18 - 6 = 12
12 = 12
2p+18=200 solve for p show your work
Answer:
91
Step-by-step explanation:
2p+18=200
subtract 18 on both sides
2p=182
Divide 2 on each side
p=91
Answer:
p=91
Step-by-step explanation:
2p+18=200
p+9=100 (Divide both sides by 2)
p=91 (Subtract 9 from both sides)
sam counted his heart beats while resting his heart beat 220 times in 4 minutes Sam heart beat at the same rate for the 4min .complete the ratio of beats to min
Answer: 220:4 or 220 to 4
Step-by-step explanation:
Answer:220:4
Step-by-step explanation:
What is the equation of a parallel line to y=-5x+2 that passes through the point (-1, 4)?
Answer:
y=-5x-1
Step-by-step explanation:
If parallel lines, then the slope is the same.
y=-5x+b
To solve for b, plug in (-1,4)
(4)=-5(-1)+b
4=5+b
-1=b **Subtract 5 from both sides**
y=-5x-1
pls help, i need this in 5 mins!
Answer:
85
Step-by-step explanation:
please help asap!!!!
1. Professor Cramer determines a final grade based on attendance, two papers, three major tests, and a final exam. Each of these activities has a total of 100 possible points. However, the activities carry different weights. Attendance is worth 3%, each paper is worth 6%, each test is worth 19%, and the final is worth 28%.
(a) What is the average for a student with 81 on attendance, 62 on the first paper, 86 on the second paper, 78 on test 1, 68 on test 2, 68 on test 3, and 87 on the final exam? (Round your answer to one decimal place.)
(b) Compute the average for a student with the above scores on the papers, tests, and final exam, but with a score of only 17 on attendance. (Round your answer to one decimal place.
Answer:
Ur final grade will go down if you are looking for answers buddy! :)
Step-by-step explanation:
a) The average for a student with the given scores is 76.3 (rounded to one decimal place).
b) The average for a student with the given scores, but with a score of only 17 on attendance, is 74.4 (rounded to one decimal place).
Here, we have,
To calculate the average for the given scores, taking into account the different weights of each component, we can use the following steps:
(a) Average with the given scores:
To calculate the average with the given scores, we multiply each score by its respective weight, then sum up the results.
Here's the calculation:
Average = (Attendance * 0.03) + (First Paper * 0.06) + (Second Paper * 0.06) + (Test 1 * 0.19) + (Test 2 * 0.19) + (Test 3 * 0.19) + (Final Exam * 0.28)
Substituting the given scores:
Average = (81 * 0.03) + (62 * 0.06) + (86 * 0.06) + (78 * 0.19) + (68 * 0.19) + (68 * 0.19) + (87 * 0.28)
Average = 2.43 + 3.72 + 5.16 + 14.82 + 12.92 + 12.92 + 24.36
Average = 76.33
Therefore, the average for a student with the given scores is 76.3 (rounded to one decimal place).
(b) Average with a score of 17 on attendance:
Using the same calculation method as above, substituting the attendance score:
Average = (17 * 0.03) + (62 * 0.06) + (86 * 0.06) + (78 * 0.19) + (68 * 0.19) + (68 * 0.19) + (87 * 0.28)
Average = 0.51 + 3.72 + 5.16 + 14.82 + 12.92 + 12.92 + 24.36
Average = 74.41
Therefore, the average for a student with the given scores, but with a score of only 17 on attendance, is 74.4 (rounded to one decimal place).
To earn more on addition click:
brainly.com/question/29560851
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QUESTION 4 of 10: An entertainment venue has a total advertising budget of $5 million per year. 30% of the budget is spent on social media
and 25% is spent on traditional media. Within the traditional media spending, 15% is spent on print advertising, 50% is spent on TV advertising
and 35% is spent on radio advertising. How much is spent on radio advertising?
ОООО
a) $437,500
b) $525,000
c) $687,500
d) $1,500,000
Answer:a
Step-by-step explanation:trust me bro
1. A right triangle LMN is given where: side MN = 8 side NL (the hypotenuse) =
10 What is the length of side LM?*
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
Length of MN ( Base ) = 8 Length of NL ( Hypotenuse ) = 10[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Length of LM ( Perpendicular )[tex] \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : [/tex]
[tex] \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}[/tex]
⤑ [tex] \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }[/tex]
⤑ [tex] \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }[/tex]
⤑ [tex] \sf{ \sqrt{100 - 64}} [/tex]
⤑ [tex] \sf{ \sqrt{36}} [/tex]
⤑ [tex] \boxed{ \sf{6\: units}}[/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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A student was measuring water in a graduated cylinder. The student read the amount of water at 20 ml. The actual amount of water in the graduated cylinder was 17 ml. What is the approximate percent error?
A.
3%
B.
8%
C.
15%
D.
18%
What will be the 50th term in the sequence defined by an=11+5(n-1)
Answer:
234
Step-by-step explanation:
I WILL MARK BRAINLIEST!!
Answer:
i think 108
Step-by-step explanation: