Answers
Answer:
[tex] \arc{PNM} = 222 [/tex]
Step-by-step explanation:
Central angle = measure of the arc it subtends
Therefore:
[tex] \arc{PN} = \arc{PM} = 138 [/tex]
A full circle = 360°
So,
[tex] \arc{PN} + \arc{PM} + \arc{NM} = 360 [/tex]
Plug in the values
[tex] 138 + 138 + \arc{NM} = 360 [/tex]
[tex] 276 + \arc{NM} = 360 [/tex]
[tex] \arc{NM} = 360 - 276 [/tex] (subtraction property of equality)
[tex] \arc{NM} = 84 [/tex]
[tex] \arc{PNM} = \arc{NM} + \arc{PN} [/tex]
Plug in the values
[tex] \arc{PNM} = 84 + 138 [/tex]
[tex] \arc{PNM} = 222 [/tex]
Related Questions
help ASAP
10 POINTS
find surface area and volume
Answers
-Surface area: adding all areas of all faces of the shape.
*10 x 6= 60m^3
*3.14 x 3^2 = 28.274 m^2. Then We times it by 2 since we have 2 circles. Which equals to 56.55m^2
Total surface area: 60 + 56.55 = 116.55m^2
-Volume: 3.14 x r^2 x h, then substitute.
*3.14 x 3^2 x 10 = 282.74m^3
(B):
-surface area:
*7 x 11= 77
*5 x 11 = 55
*11 x 11 = 121
*7 x 5 = 35/2 = 17.5 > then again we times it by 2 cuz we have 2 triangles. Which equals to 35.
Total surface area: 77 + 55 + 121 + 35 = 288 cm^2
-Volume:
*7 x 5 x 11 = 385 cm^3
Make sure to check the units!!!
Hope this helped :)
FAST PLEASE A school assembly had 98 students in attendance, and 50% of them were first-graders. How
many first-graders were at the assembly?
Answers
Answer:
49
Step-by-step explanation:
50% is basically half so divide 98 by 2
Which of the following describes a simple event?
A. Rolling a die and tossing a coin
B. drawing a card from a deck of cards and rolling a die
C. spinning a spinner
D. tossing a coin 3 times
Answers
Option D is correct, tossing a coin 3 times is a simple event.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
A simple event is a single outcome or result of an experiment or probability experiment.
In option D, the simple event is tossing a coin once and getting either a heads or a tails.
Since the event is repeated three times, there are a total of 8 possible outcomes (HHH, HHT, HTH, THH, TTH, THT, HTT, TTT).
However, each of these outcomes is made up of three simple events, which are the individual tosses of the coin.
In options A and B, there are multiple events happening, each of which has multiple possible outcomes, so they do not describe a simple event. In option C, there is only one event happening, but there are multiple possible outcomes of that event, so it also does not describe a simple event.
Hence, Option D is correct, tossing a coin 3 times is a simple event.
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can someone please teach me how to find the value of x ?
Answers
Answer:
The value of x is approximately 13.58
Step-by-step explanation:
11. Jeremy ran 14 races. Each race was 5 kilometers long. Approximately
how many miles did Jeremy run altogether in the races? (1 kilometer
0.62 mile)
A 43 miles
B. 70 miles
C 113 miles
D
200 miles
Answers
Answer: B
Step-by-step explanation:
For the data set 4, 5, 10, 11, 15, the mean, x, is 9. What is the standard deviation?
Answers
Answer: A
Step-by-step explanation:
4.1
A square is defined to be a quadrilateral with four congruent sides and four right
angles. Additionally, squares have two pairs of parallel sides,
Choose all of the quadrilaterals that accurately complete the following statement:
A square is a special
Answers
Answer:
Step-by-step explanation:
a square is a special rectangle and a parallelogram , and a rhombus
Distance around an unmarked circle can be measured (always, sometimes, never)
Answers
Answer:
never
Step-by-step explanation:
:))
Answer:
i think answer is never
Step-by-step explanation:
never
Solve the system of equations 4x – 9y = 5 and 8x - y = -7 by combining the
equations.
Answers
Answer:
x=2 and y=0.
Step-by-step explanation:
Answer:
[tex]x=-1,\\y=-1[/tex]
Step-by-step explanation:
We can write the following system of equations as given:
[tex]\begin{cases}4x-9y=5\\8x-y=-7\\\end{cases}[/tex].
Multiply the first equation by [tex]-2[/tex] then add both equations to solve for [tex]y[/tex]:
[tex]\begin{cases}-8x+18y=-10\\8x-y=-7\\\end{cases},\\17y=-17,\\y=\fbox{$-1$}[/tex].
Now plug in [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:
[tex]8x-(-1)=-7,\\8x+1=-7,\\8x=-8,\\x=\fbox{$-1$}[/tex].
Verify that the solution pair [tex](-1,-1)[/tex] works [tex]\checkmark[/tex]
At Manning's favorite ice cream shop, a customer can have a cake or sugar cone, vanilla, chocolate, or strawberry ice cream, and chocolate or rainbow sprinkles. How many different ice cream cones can be ordered if the customer chooses 1 cone, 1 type of ice cream, and 1 type of sprinkles?
Answers
Answer:
12
Step-by-step explanation:
2-cones
3-ice cream flavors
2-sprinkles
2 x 3 x 2 = 12
plz mark brainliest :)
help plz///////...............
\
Answers
Answer:
3/4
Step-by-step explanation:
any thing in the form of y=mx+x,
mx is the slope
What is the approximate length of the missing side in the triangle below?
13.9 mi.
19.0 mi.
21.3 mi
25.4 mi
Answers
Answer:
[tex]21.3\:\mathrm{mi}[/tex]
Step-by-step explanation:
The Law of Cosines is given as the following:
[tex]c^2=a^2+b^2-2ab\cos C[/tex].
Plugging in given values and solving, we get:
[tex]c^2=15^2+18^2-2\cdot 15\cdot 18\cdot \cos 80^{\circ},\\c\approx \fbox{$21.3\:\mathrm{mi}$}[/tex]
Answer:
C: 21.3
Step-by-step explanation:
b = √a2 + c2 - 2ac·cos(B) = 21.33612
Pls hlp<3 Given ΔBCD ~ ΔEFG. Find the length of BC.
Answers
Answer:
120
Step-by-step explanation:
180-35-25=120
or
35+25=60
180-60=120
Answer:
BC = 200/7 ≈ 28.57
Step-by-step explanation:
Set up a proportion to solve for the missing side length.
BC/CD = FE/EG
BC/25 = 16/14
BC = 16/14 · 25
BC = 200/7 ≈ 28.57
When the following fraction is reduced, what will be the exponent on the n?
Answers
If three times a number is increased by 4, the result is -8. Determine the number.
Answers
Answer:
Step-by-step explanation:
let the number is x
3x+4=-8
3x=-8-4
3x=-12
x=-4
if the temperature rises to 80 degrees, witch number would display best
-80 -180 80 180
Answers
Answer:
The answer is 80 :)
Step-by-step explanation:
PLEASE ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL MARK BRAINLEIST
Stephanie checked the temperature in her house when she woke up. After 3 3/4 hours, the temperature had increased by 10 1/2 degrees. Assuming that the temperature rose at a constant rate, by how many degrees did the temperature in Stephanie’s house increase each hour?
Answers
Admission to the the zoo is $15 and each individual ticket costs $3.50. What of the following expressions could represent the scenario?
15x + 3.5
15 +3.5x
18.50x
3.5x - 15
Answers
Answer:
b.
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
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In Steven's grade, 12 students are enrolled in health and 48 students are not. What percentage of the students in the school are enrolled in health?
Answers
Answer:
20%
step-by-step way
Please help me I will mark you BRAINLIST
Answers
Answer:
probably 300
Step-by-step explanation:
I have no idea I'm in 6 grade sorry
Please help ASAP !!
Answers
Answer: surface area is 215.27; volume is 297.1
Step-by-step explanation:
you have to find the radius first, c = 2(pi (3.14))r, the formula for surface area is 4(pi(3.14)r^2, the formula for volume is 4/3(3.14(pi))r^3
Find the solution of these two equations. Y=1/5x-7 and y=-x-1
Answers
Answer:For the first one it would be x=35
And the 2nd one would just be x=-1
Step-by-step explanation:
The length of a rectangle is 4 cm less than 3 times its width. If the width is x cm, then the length is
a. 3x - 4
b. 4 - 3x
c. 4x - 3
d. 3x + 4
e. 3 - 4x
Answers
Yada yada yada
Sara and Sam are each working on a science project in which they need to research the individual masses of the nine planets (including the dwarf planet Pluto as the ninth planet). Sara completes her data for the planets' masses in kilograms while Sam's data is in milligrams.
Look at picture.
Approximate how many times greater Saturn's mass is than Mercury's.
A) 200,000
B) 2,000,000
C) 2,000
D) 20,000
Answers
Answer:
2000 times
Step-by-step explanation:
Given
Sara:
[tex]Mercury = 3.302 * 10^{23[/tex]
[tex]Saturn = 5.685 * 10^{26[/tex]
Sam:
[tex]Mercury = 3.302 * 10^{29[/tex]
[tex]Saturn = 5.685 * 10^{32[/tex]
To determine the number of times, the mass of Saturn is greater than the mass of Mercury, we simply do the following:
[tex]Times = \frac{Saturn}{Mercury}[/tex]
Using Sara's measurement; this gives:
[tex]Times = \frac{5.685 * 10^{26}}{3.302 * 10^{23}}[/tex]
Apply law of indices
[tex]Times = \frac{5.685 * 10^{26-23}}{3.302}[/tex]
[tex]Times = \frac{5.685 * 10^3}{3.302}[/tex]
[tex]Times = 5.685/3.302 * 10^3[/tex]
[tex]Times = 1.72 * 10^3[/tex]
Approximate
[tex]Times = 2 * 10^3[/tex]
[tex]Times = 2000[/tex]
Anna is selling boxes of cookies and tubs of popcorn for a Student Council fundraiser. On Monday, she made $40 selling 4 boxes of cookies and 2 tubs of popcorn. On Tuesday, she made $35 selling 1 box of cookies and 3 tubs of popcorn.
Write a system of equations to represent the cost of a box of cookies, x, and the cost of a tub of popcorn, y.
Answers
Answer:
5 boxes of cookies and 5 tubs of popcorn = $75
Step-by-step explanation:
To find y divide what is sold by 4 boxes of cookies and x by 2 tubs of popcorn.
The solution is
The cost of box of cookies x = $ 5
The cost of tub of popcorn y = $ 10
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the cost of cookies be = x
Let the cost of popcorn be = y
And ,
On Monday, Anna made $40 selling 4 boxes of cookies and 2 tubs of popcorn
Substituting the values in the equation , we get
4x + 2y = 40 be equation (1)
And ,
On Tuesday, Anna made $35 selling 1 box of cookies and 3 tubs of popcorn
Substituting the values in the equation , we get
x + 3y = 35 be equation (2)
On simplifying both equations , we get
Multiply equation (2) by 4 , we get
4x + 12y = 140 be equation (3)
Subtracting equation (1) from equation (3) , we get
10y = 140 - 40
10y = 100
Divide by 10 on both sides of the equation , we get
y = $ 10
So , the cost of tub of popcorn is $ 10
Substituting the value of y in equation (2) , we get
x + 3y = 35
x + 30 = 35
Subtracting 30 on both sides of the equation , we get
x = $ 5
So , the cost of box of cookies is $ 5
Hence , the cost of cookies is $ 5 and cost of popcorn is $ 10
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If the angle tis 42 and RS is 9 find QS. Round to the nearest tenth.
Q
R
Answers
Answer:
QS is 12.1
Step-by-step explanation:
9 / sin 48 = QS / sin 90
QS = 9 / sin 48 = 12.1
A square gate has a brace 3.5 feet long.
Approximately how wide is the gate?
F. 2.0 feet
3.5 ft
G. 2.5 feet
H. 4.9 feet
J. 6.1 feet
Answer
Answers
Answer:
h
Step-by-step explanation:
The following dot plot shows the number of
players at each table in Bill's Bingo Hall. Each
dot represents a different table.
.
:
0 1 2 3 4 5 6 7 8
Number of players
What is the highest number of players at a
table?
players
Answers
Answer:
0
Step-by-step explanation:
Romeo will roll a 6 sided number cube numbered 1-6 what is the probablility of rolling an odd number on the first roll and then number 4 on the second roll. a 1/12. b 1/6. c 1/4 d 1/3
Answers
Answer:
D
Step-by-step explanation:
Answer:
[tex]a.\: \frac{1}{12}[/tex]
Step-by-step explanation:
The probability he will roll an odd number on the first roll is [tex]\frac{1}{2}[/tex] as there are three odd numbers and three even numbers on a fair six-sided dice.
The probability he will roll the number 4 on the second roll is [tex]\frac{1}{6}[/tex] as out of the six numbers, only one is the number 4.
Therefore the probability of both happening is [tex]\frac{1}{2}\cdot \frac{1}{6}=\fbox{$a.\: \frac{1}{12}$}[/tex].
Adam would like to buy a used car, and collected several data to evaluate the best model (such as age, price, weight, etc.) Thanks to a scatterplot, he established that the relation between age and weight is somewhat linear. He calculated that the correlation between age and weight is 0.512. Describe the association.
Answers
Answer: There is a strong association between age and weight.
Step-by-step explanation:
The correlation coefficient (r) is used to describe the relationship between two variables.
[tex]-1\leq r\leq1[/tex]
If r lies between -1 to -0.5 or 0.5 to 1, then there is strong association between them.
Here, Variables: Age and weight.
correlation coefficient = 0.512
That means, there is a strong association between age and weight.