Find mGM if KP = PL and GH = 36 ft.
Circle geometry are made up of lines and angles. The measure of the angle arcGM is 90degrees
Circle geometryCircle geometry are made up of lines and angles
From the given diagram, the sum of angles on the straight line GKH is 180 degrees
arcGM + arcMN = 180 degrees
Given that arcMN = 90 degrees, hence;
arcGm = 180 - 90
arcGM = 90 degrees
Hence the measure of the angle arcGM is 90degrees
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Answer:
mGM is 77 degrees
Step-by-step explanation:
In
group of 100 persons, 72 people can speak
English and 43 can speak French. How many
can speak English Only, How many can speak
French Only and how many can speak both English and French
Step-by-step explanation:
Let A be the set of people who speak English.
B be the set of people who speak French.
A - B be the set of people who speak English and not French.
B - A be the set of people who speak French and not English.
A ∩ B be the set of people who speak both French and English.
Given
n(A) = 72 n(B) = 43 n(A ∪ B) = 100
Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)
= 72 + 43 - 100
= 72 + 43 - 100
= 115 - 100
= 15
Therefore, Number of persons who speak both French and English
= 15
n(A) = n(A - B) + n(A ∩ B)
⇒ n(A - B) = n(A) - n(A ∩ B)
= 72 - 15
= 57
and n(B - A) = n(B) - n(A ∩ B)
= 43 - 15 = 28
Therefore, Number of people speaking English only = 57
Number of people speaking French only = 28
Let A be the set of people who speak English.
B be the set of people who speak French.
A - B be the set of people who speak English and not French.
B - A be the set of people who speak French and not English.
A ∩ B be the set of people who speak both French and English.
Given
n(A) = 72 n(B) = 43 n(A ∪ B) = 100
Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)
= 72 + 43 - 100
= 72 + 43 - 100
= 115 - 100
= 15
Therefore, Number of persons who speak both French and English
= 15
n(A) = n(A - B) + n(A ∩ B)
⇒ n(A - B) = n(A) - n(A ∩ B)
= 72 - 15
= 57
and n(B - A) = n(B) - n(A ∩ B)
= 43 - 15 = 28
im not sure if its right but- q-q
how many sides do tahe polygon have?
Triangle - 3 Sides Square - 4 Sides
Pentagon - 5 Sides Hexagon - 6 sides
Heptagon - 7 Sides Octagon - 8 Sides
Nonagon - 9 Sides Decagon - 10 Sides
Answer:
Triangle 3
Quadrilateral 4
Pentagon 5
Hexagon 6
Based on the data in the table, what is the probability that the next piece of candy Katherine pulls out of the jar will be blue?
O
A
7/100
B.
7/50
C.
7/43
D.
1/5
The probability of blue candy from the jar of total candy 50 is 7/50. Thus, option B is correct.
Probability is defined as the chance of occurrence of events. From, the given data the total number candies in the jar is 50.
Thus, the total number of events (sample space, S) = 50
number of possible outcomes from the event n(S) = 50
number of blue candies in the jar(favourable outcomes) = 7
Probability of taking the blue candies from the jar,
P(A) = no. of. favourable outcomes / number of possible outcomes
= 7 / 50
The probability of taking blue candy from the jar = 7/50
Thus, the ideal solution is option B.
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what is 30.84 round to the nearest hundredth
Answer:
30.8
Step-by-step explanation: round bozo
What are factors of 72 that add to be -18?
Answer:
-12 and -6
Step-by-step explanation:
At age 20, William starts a career with a salary of $40,000 and a promise of a yearly raise of 2%. Approximately how much money will he make over 10 years?
Answer:
8759.78
Step-by-step explanation:
cause by the end of the 10 years he would have 48759.77 minus that by 40,000 you would get 8759.78
Approximately how much money will he make over 10 years is $8,759.78.
Using this formula
Amount=[Principal(1+rate)^t]- Principal
Where:
Principal=$40,000
Rate=2%
Time=10 years
Let plug in the formula
Amount=[$40,000×(1+0.02)^10]-$40,000
Amount=[$40,000×(1.02)^10]-$40,000
Amount=$48.759.776-$40,000
Amount=$8,759.776
Amount=$8,759.78 (Approximately)
Inconclusion approximately how much money will he make over 10 years is $8,759.78.
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-2x + 7 = -32 i need help hurry plsss
Answer Is x= -19.5
-2x = -39
-x= 19.5
x= -19.5
What is the value of p?
Answer:
p=25
Step-by-step explanation:
Both angles that contain p are equal to eachother. SO we can set 3p equal to p+50. 3p=p+50
After doing this we get 25° for p.
Which expression is equivalent to a^-x?
Find area of the shaded segment vb and length of vb
Answer:
Area of length Vb = 25 square units
Area of segment Vb = 26 square units
Step-by-step explanation:
Area of length Vb = theta/360 * 2πr
Area of length Vb = 120/360 * 2*3.14 * 12
Area of length Vb = 1/3 * 75.36
Area of length Vb = 25 square units
Ares of length Vb is 25.1 sq. units
Area of shaded portion = Area of sector VUB - Area of triangle VUB
Area of sector VUB = theta/360 * πr²
Area of sector VUB = 120/360 * 3.14*144
Area of sector VUB = 1/3 * 452.16
Area of sector VUB =150.72
Area of triangle VUB = r²sintheta
Area of sector VUB = = 12²sin 120
Area of sector VUB = = 144(0.8660)
Area of sector VUB = 124.71
Area of the shaded segment = 150.72 - 124.71
Area of the shaded segment = 26.01
Area of the shaded segment = 26 sq. units
NWMS has 840 students. Ben surveys a random sample of 60 students and finds that 8 of them have more than 3 siblings. How many students at the school are likely to have more than 3 sibling
Answer:
the answer is 196
Step-by-step explanation:
hope this helps
Also on this one I’m having trouble
Answer:
try just 10. without the (-)
Find the balance of a savings account at the end of years if the interest earned each year is . %. The principal is $. what is it please?
Answer:
You can use the time value of money formula.
FV = PV(1 + r)^n
FV = future value
PV = present value
r = interest rate = percentage/100
n = number of compounding periods
FV = 500*(1 + 0.075)^10 = $ 1030.52
PLEASE HELP!! what is the area of the regular polygon
Question:
What is the area of the regular polygon
Answer:
72Step-by-step explanation:
Since the radius is 6 the Length/Width should also be 6 so the polygon has 6 sides so 6/3 = 2 x 6 = 12 x 6 = 72
72 is your answer
A(4,10) and B (6,12)
(1) Find the distance between A and B
Answer:
2.8284
Step-by-step explanation:
Input Data :
Point 1(xA,yA)(xA,yA) = (4, 10)
Point 2(xB,yB)(xB,yB) = (6, 12)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(6−4)2+(12−10)2(6-4)2+(12-10)2
= √22+2222+22
= √4+44+4
= √88 = 2.8284
Distance between points (4, 10) and (6, 12) is 2.8284
Arjun earned $36 515 in 2019.
This was an increase of 9% on his earnings in 2018.
Work out his earnings in 2018.
Answer:
33500
Step-by-step explanation:
Let x= his wage in 2018
we know that
1.09*x= 36515
Solve for x (by dividing both sides by 1.09)
get 33500
Which graph represents a sequence that converges because the values approach 2?
Answer:
its b
Step-by-step explanation:
just did it on edge
Graph C represents a sequence that converges because the values approach 2.
What is a converging graph?Convergent definition in mathematics is a property (displayed by certain innumerable series and functions) of approaching a limit more and more explicitly as an argument (variable) of the function increases or decreases or as the number of terms of the series gets increased.
According to the given problem,
Graph 1, Graph 2 and Graph 4 are diverging graphs. We are assuming this because the a divergent sequence doesn't have a limit. Thus, this sequence converges to 0. In many cases, however, a sequence diverges that is, it fails to approach any real number.
Graph 3 has a limit and converges as it approaches 2.
Hence, we can conclude that Graph 3 converges because the values approach 2.
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PLEASE HELP!
Y=5x-9
-2x-3y=-7
Please show
work!
substition for math
Answer:
ill edit this and Post the answer in a few m0ments .....
Step-by-step explanation:
Answer:
J
Step-by-step explanation:
K. since you thought it was so funny to do it to me
Match the like terms.
3x^4 6x -8
-8x
6x^4
3
Answer:
6/3
8/4
we can keep 6/8 also but we can't keep 3/8
Please help me answer this!!
To solve for m, divide both sides by 5/6
M = 85/ 5/6
When dividing by a fraction flip the fraction over and multiply
M = 85 x 6/5 = (85 x 6)/5 = 510/5 = 102
He drove 102 miles on Monday
Enter the patriot equivalent to Tan (A)
And
Enter the ratio equivalent to cos (B)
Answer:
[tex](a)\ \tan A = \frac{5}{12}[/tex]
[tex](b)\ \cos B = \frac{5}{13}[/tex]
Step-by-step explanation:
Given
See attachment for triangles
Solving (a)
[tex]\tan(A)[/tex]
The tan of an angle is:
[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]
From the given triangle.
[tex]Opposite = 5[/tex]
[tex]Adjacent = 12[/tex]
So, we have:
[tex]\tan A = \frac{5}{12}[/tex]
Solving (b)
[tex]\cos(B)[/tex]
The cos of an angle is:
[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
From the given triangle.
[tex]Adjacent = 5[/tex]
[tex]Hypotenuse = 13[/tex]
So, we have:
[tex]\cos B = \frac{5}{13}[/tex]
PLEASE HELP!! Which of the following numbers is irrational?
Extra Credit:
8 congruent spheres are packed into a cube with
edge length x so that each sphere is tangent to 3
faces of the cube and 3 other spheres as shown.
what is the ratio of the total volume of the
spheres of the volume of the cube?
Answer:
Ratio of the volumes of the spheres and cube = 0.523
Step-by-step explanation:
From the figure attached,
Diameter of one sphere = Half of the measure of one side of the cube
= [tex]\frac{x}{2}[/tex]
Radius of the sphere = [tex]\frac{\frac{x}{2}}{2}[/tex]
= [tex]\frac{x}{4}[/tex]
Volume of a cube is given by the formula,
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
Therefore, volume of one sphere = [tex]\frac{4}{3}\pi (\frac{x}{4})^{3}[/tex]
= [tex]\frac{x^3\pi}{48}[/tex]
Volume of 8 spheres = [tex]8\times \frac{x^3\pi}{48}[/tex]
= [tex]\frac{x^3\pi}{6}[/tex]
Volume of a cube = (side)³
= [tex]x^3[/tex]
Ratio of the volumes of the sphere and cube = [tex]\frac{\frac{\pi x^3}{6} }{x^3}[/tex]
= [tex]\frac{\pi}{6}[/tex]
≈ 0.523
When you roll a die the probability of rolling a number less than 3 is 2/6.
What are the ODDS of rolling a number less than 3?
There are 4 brown socks and 14 blue socks in a drawer. In the dark, Jason pulls out a sock and puts it on his right foot. Then he pulls
out another sock and puts it on his left foot.
What is the probability that Jason has two brown socks on his feet?
Answer:
2/51
Step-by-step explanation:
# of brown socks = 4
# of blue socks = 14
total # of socks = 18
The probability of pulling 1 brown sock = 4/18
If he were to pull one brown sock there would be 1 less sock in the total # of socks and 1 less in the # of brown socks
So after the first pull ( if it were to be a brown sock )
there would only be 3 brown socks and 17 total socks
So the probability of pulling a brown sock then would be 3/17
Finally we multiply the two probabilities to get the answer
4/18 * 3/17 = 2/51
Hence, the answer is 2/51
Marking brainliest loll
Answer: the second one?[b] brainliest?
Step-by-step explanation:
Answer:
b and brainlist?
Step-by-step explanation:
-plz answer branliest porvided no links
Answer:
Solution given:
area of semi circle h=½πr²=½×π×5²=39.27in²
area of rectangle EFHI=l×b=6×3=18in²
area of rectangle CDFG=l×b=17×2=34in²
Total area: 39.27+18+34=91.27 square inches
I need help with math help a sis out
I neeed helppp please help me
Answers:
A) The equation is d = 2tB) Independent variable = time; dependent variable = amount of cookies=========================================================
Explanation:
The independent variable is always long the horizontal axis. Often this is x, but we are using t in this case.
The variable t represents the amount of time in minutes. For instance, t = 2 means 2 minutes have elapsed. At this time, 4 cookies have been eaten as shown by the point (2,4). As another example, the point (3,6) means that d = 6 cookies have been eaten at time t = 3 minutes.
The equation is d = 2t because the '2' represents the rate of change of "eating 2 cookies per minute". Whatever the time value (t) is, we double it to get the value of d, which is the number of cookies eaten.