Answer: There were 51 students
Step-by-step explanation: Divide 362 by 7 which equals 51 with 5 students remaining! Hope this helps!
pls help me i need help
Answer:
90
Step-by-step explanation:
because its a right triangle
PLEASE HELP ME WITH THIS :<
Answer:
i think its the third one correct me if im wrong 0:)
Answer:
it should be the 3rd one
INFO: The chairs are evenly spaced around
the wheel
Question: If the length of the cable from L to E is 80 feet, E to the ground is 35 feet, and F to the ground is 40
feet, what is the length of the cable from J to F?
Answer: About 72 feet
The more accurate value is roughly 71.7260397 feet (however, this value isn't fully exact either).
======================================================
Explanation:
Check out the diagram below. It's effectively the same diagram your teacher provided, but I've added points M and N. I've left out any unnecessary lines.
M = center of the circleN = location where the cable is anchored to the groundWe're told that "(the length of cable from) E to the ground is 35 feet", so this is the red portion of cable that I've marked this as NE = 35, ie segment NE is 35 feet long. We're also told that NF = 40 feet, which is also shown in red.
The blue portions are chords of the circle. We're given one chord as LE = 80 ft, while the other chord JF is what we want to find out.
-----------------
What we need to find is the radius of this circle. Right away, it's not clear what the radius is; however, we can use the chord LE = 80 to help find it.
It turns out that the chord length c is connected to the radius r and central angle theta like so:
c = 2*r*sin(0.5*theta)
where theta must be in radian mode. The central angle subtends the arc that forms the chord in question.
If we started at point L, and counted the number of spaces to get to E while going clockwise, then we can see that there are 5 spaces
Those five spaces could be written as
The jump from L to AThe jump from A to BThe jump from B to CThe jump from C to DThe jump from D to EOr you could mark it as such on the diagram for a visual reference. Overall, the circle has been cut into 12 equal slices. So going from L to E, going clockwise, will have us take up 5/12 of the full circle.
There are 2pi radians in a full circle, meaning the central angle LME is (5/12)*2pi = 5pi/6 radians.
-----------------
Plug theta = 5pi/6 and c = 80 into the formula mentioned. Isolate the radius.
c = 2*r*sin(0.5*theta)
80 = 2*r*sin(0.5*5pi/6)
80 = 2*r*sin(5pi/12)
80 = 2*r*0.9659258
80 = 2*0.9659258*r
80 = 1.9318516r
1.9318516r = 80
r = 80/1.931 8516
r = 41.4110483
The radius is approximate. The radius is in feet. Make sure your calculator is in radian mode.
-----------------
Now that we know the radius, we can determine how long chord JF is.
The central angle for chord JF is angle JMF
If we start at J and go to F, along the shorter path, then we've gone 4 spaces. This is 4/12 = 1/3 of the full circle. So the radian measure of angle JMF is (1/3)*2pi = 2pi/3 radians.
So,
c = 2*r*sin(0.5*theta)
c = 2*41.4110483*sin(0.5*2pi/3)
c = 71.7260397
Chord JF is roughly 71.7260397 feet long.
When rounding to the nearest foot, that's about 72 feet.
hey i need help! ty!
Answer:
-3 1/5 < - 3 7/10
Step-by-step explanation:
Two lines intersect creating angles with the measures shown below.
(2x + 6)°
32°
What is the value of x?
Answer:
The angles are called Vertical Angles. And vertical angles are always equal. So,
2x + 6 = 32
2x = 26
x = 13
What is 0.04x61 please help
Answer:
The answer is 2.44
Step-by-step explanation:
Hope this help.
Please mark brainliest!
Answer:
2.44 two and forty-four hundreths
The Toblerone company packages chocolate candy in a container that is a triangular prism. The base is an
equilateral triangle and each side of the triangle is 60 mm. The height of the triangular prism is 405 mm.
1) What is the total surface area of this triangular prism? Show all work and give answers to 2 decimal
places
2) What is the volume of this triangular prism? Show all work and give answers to 2 decimal places
3) If the chocolate inside the package is 335954.96 mm3,how much empty volume/space is inside the
container? Show all work and give answers to 2 decimal places
Answer:
76017.69 mm²
631000 mm³
295045.04 mm³
Step-by-step explanation:
Surface area = bh + 2ls + lb
Since the sides of the triangular prism are equal (equilateral triangle) = 60 mm each
Height = 405 mm
The surface area of triangular = 76017.69 mm
The volume of triangular prism :
1/2 * base * height * length
Volume = 631000 mm³
If amount of chocolate inside = 335954.96 mm3
Empty space =
Volume of triangular prism - amount of chocolate inside
631000 - 335954.96
= 295045.04 mm³
A farmer has 500 m of fencing. He wants to construct
three adjoining rectangular fields that have the greatest possible area.
Determine the dimensions of the three fields.
Heeeeeeeeeeeeeeeelp!
Answer:
117
Step-by-step explanation:
She has $10.00 to spend. Apples cost $0.26 each and oranges cost $0.38 each. If Samantha can only buy apples, how many apples can she buy? If she can only buy oranges, how many oranges can she buy? Which would she get more of and how many more?
Answer:
she can buy 38 apples
Step-by-step explanation:
Help ASAP I’ll mark branliest
Answer:
18°
Step-by-step explanation:
9m+25m+22=90
34m=68
m=2
<HLG=9m = 9(2) = 18
Let X be a binomial random variable with parameters (n, p). Find the approximate value of P(|X| > a) when n is sufficiently large using the central limit theorem, where a is a positive number. g
Answer:
Approximate value of P(|X| > a) is attached below
Ф ( 0 ) is the CDF of standard Normal variate
Step-by-step explanation:
x ~ Bin ( n, p )
E ( x ) = np , Var ( x ) = np ( 1 - p )
∴ Z = Iin ( x - E(x) ) / √Var x ) ~ N ( 0, 1 ) ( this is the standard normal Variate)
n-1∞
Find the approximate value of P(|X| > a)
Ф ( 0 ) is the CDF of standard Normal variate
attached below is the remaining part of the solution
Comeplete the fraction to solve 5 x 2/6
Answer:
Step-by-step explanation:
1.666666667
Noah borrowed $17 from his mother. He then paid back $8 of the amount he owed. Complete the statements to represent the change in the amount of money that Noah’s mother has
Answer: he owes his mother and nine dollars/9$
Step-by-step explanation: $17-8=9
According to these measures, is it possible that the heaviest piece of fruit in the two samples was an orange? Explain why or why not.
Answer:
Yes,
Step-by-step explanation:
The measures given which are median and interquartile range have no effect on what the maximum value of a certain distribution will be.
In essence, the information given about the samples of fruits and apples do not point to which fruit sample should possess the sample with maximum weight as the information only gives a general description of each distribution. This means that either samples of orange or apple could have the heaviest piece of fruit.
Create a probability model for the outcome of performing 2
spins. What is the probability of landing on red once and
yellow once?
answer choices are 1/8 , 3/4 , 1/2, 1/4
Answer:
1/8
Step-by-step explanation:
Isolation meathod:
chance of getting 1 specific color is 1/4 so eliminate all options higher or equal to 1/4 because we are looking for 2 colors. So thats leaves us with 1/8. Im sure this is correct as I got it right on an ssignment of mine.
I need help! Look at the photo attached.
Answer:
1. Not equal
2. Not equal
3.Not equal
4. Equal
5. Equal
Step-by-step explanation:
Find the slope of a line through the points (7,1) and (4,0)
Answer:
3,9
Step-by-step explanation:
Answer:
The slope of the line is 1/3
Step-by-step explanation:
Lisa selects a marble from a jar containing 6 red marbles and 2 green marbles and does not replace it. She then selects a second marble. What is the probability that both marbles will be red?
Answer:
15/28 = 53.57%
Step-by-step explanation:
E 1 = select a red marble
E2 = select a red marble
E 1 ∩ E2
6/8 x 5/7
3/4 x 5/7 = 15/28 = 53,57%
HELP FAST PLEASE (zoom in on the photo) Your friend graphs the inequality, Is your friend correct?
-1
-
0
o yes
no
Explain your reasoning
Answer
i would say no
Step-by-step explanation:
The ratio of Luis´s salary and Andres´s salary is 5 to 3. In July by mistake, Andres received $720 more, which received the same amount from Luis. How much is Luis´s salary?
Answer:
Luis Salary is 1800 dollars
Step-by-step explanation:
Ration of Luis´s salary and Andres´s salary is 5:3
[tex]\frac{L}{A} = \frac{5}{3}\\3L -5A = 0[/tex] -- Eq (1)
Let Luis salary be X
Then Andrews salary in July would be A + 720 while Luis salary in July is L
L = A + 720 ---E q (2)
Substituting the values in above equation 1, we get -
[tex]3 ( A +720 ) -5A = 0\\2 A = 720 *3\\A = 1080[/tex]
Luis Salary is
[tex]A + 720 = 1800[/tex]
what is the solution
Answer:
y
≥
14
Step-by-step explanation:
HELPP
What is the value of x?
Answer:
d
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
The sum of the angle of a quadrilateral is 360 degrees
92+100 +102 +5x+16 = 360
Combine like terms
5x+310 = 360
Subtract 310 from each side
5x+310 -310 =360-310
5x = 50
Divide by 5
5x/5 = 50/5
x = 10
Help hurry, my grade depends on it, thank you!!
Answer:
i really really believe that it is B
What is the percent of the figure is shaded?
Answer:
7/10 is shaded
so 7/10×100= 70%
Answer:
70 percent
Step-by-step explanation:
hope this helps
Move the numbers in order of least to greatest.
8.295, 8.013, 8.26 8.12
Answer:
8.13, 8.12, 8.26, 8.295
Step-by-step explanation:
a
1200
b
3200
c
3680
d
5520
Answer:
c. 3680
Step-by-step explanation:
In 2010, the population was 8000.
In 2014, it increased by 15%.
Population in 2014 :
= 8000 + 15/100×8000
= 8000 + 1200
= 9200.
Now, 2/5 of the population was age 12 or under.
= 2/5 × 9200
= 2×1840
= 3680
Answer - c) 3680
Fill out the Rate column in the table below.Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store? Fill out the Rate column in the table below. a = b =
Do you have a picture of the colum?
Answer:
A= 30
B= 20
C= x miles
D= x miles
edg
Step-by-step explanation:
Please answer
What is 15% of 140
WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
Any closed shaped figure with straight sides and angles
Step-by-step explanation: