Answers
Answer:
1. 17.8 cm
2. 32.0 cm
3. 15.9 m
Step-by-step explanation:
1. Determination of the length of the arc.
Radius (r) = 6 cm
Angle at the centre (θ) = 170°
Pi (π) = 3.14
Length of arc (L) = ?
L = θ/360 × 2πr
L = 170/360 × 2 × 3.14 × 6
L = 17/36 × 37.68
L = 17.8 cm
2. Determination of the length of the arc.
Diameter (d) = 13 cm
Angle at the centre (θ) = 282°
Pi (π) = 3.14
Length of arc (L) = ?
Next, we shall determine the radius. This can be obtained as follow:
Diameter (d) = 13 cm
Radius (r) =?
r = d/2
r = 13/2
r = 6.5 cm
Finally, we shall determine the length of the arc. This can be obtained as follow:
Radius (r) = 6.5 cm
Angle at the centre (θ) = 282°
Pi (π) = 3.14
Length of arc (L) = ?
L = θ/360 × 2πr
L = 282/360 × 2 × 3.14 × 6.5
L = 282/360 × 40.82
L = 32.0 cm
3. Determination of the length of the arc.
Radius (r) = 11 m
Angle at the centre (θ) = 83°
Pi (π) = 3.14
Length of arc (L) = ?
L = θ/360 × 2πr
L = 83/360 × 2 × 3.14 × 11
L = 83/360 × 69.08
L = 15.9 m
Related Questions
A test has 20 questions. If Peter gets 80% correct, how many questions did Peter miss?
Answers
Answer:
4
Step-by-step explanation:
20 x 0.80
16 - 20
Answer:
4 questions
Step-by-step explanation:
4 wrong = 80%
93 = 2x + 18 + x = 3x + 18
Answers
Answer:
x=25
Step-by-step explanation:
To get this answer you need to simplify everything that you can. So basically, first you would combine 2x and x to get 3x+18. Note that you don't need to use the second part of the equation if you don't want to. Same with the third because they are all equal. Noting this, you subtract 18 from both sides of the equation leaving you with 75= 3x. Proceed to divide both sides by three and end with the answer 25=x.
help with my geometry!!
Answers
Answer
(6,4)
Step-by-step explanation:
I think that is the answer and I am sorry if it is wrong!
find the value of x
a. 5
b. 11
c. 7
d. 3
Answers
7x = 35
x = 5
A
HELP FAST FAST FAST FAST
Answers
Answer:
H.
Step-by-step explanation:
Look closely, and eliminate the ones that don't work.
Lovely Lawns, Inc., intends to use sales of lawn fertilizer to predict lawn mower sales. The store manager estimates a probable six-week lag between fertilizer sales and mower sales. The pertinent data are:
Period Fertilizer Sales Number of Mowers Sold
1 1.6 12.0
2 1.3 10.0
3 1.8 13.0
4 2.0 15.0
5 2.2 15.0
6 1.5 11.0
7 1.6 12.0
8 1.4 10.0
9 1.8 13.0
10 1.4 10.0
11 1.9 15.0
12 1.4 11.0
13 1.7 14.0
14 1.4 13.0
a. Determine the correlation between the two variables. Does it appear that a relationship between these variables will yield reasonable predictions?Explain.
b. Obtain a linear regression line for the data.
c. Predict expected lawn mower sales for the first week in August, given fertilizer sales six weeks earlier of 2 tons.
Answers
Answer:
R = 0.8815 ;
y = 6.14679X + 2.33028 ;
14.624
Step-by-step explanation:
Using an online correlation Coefficient calculator, the correlation Coefficient, R between the number of lawn fertilizer sold and the number of lawn mowers sold is 0.8815. This R value depicts a strong positive correlation between both variables.
The regression line equation obtained by Plotting the values to generate a linear model is :
y = 6.147X + 2.330
With ;
Slope or gradient being 6.147
Intercept = 2.330
C.)
x = 2
y = 6.147X + 2.330
y = 6.147(2) + 2.330
y = 14.624
A student answers 90% of the math questions on a math test correctly. If he answers 27 questions correctly how many questions are on the test?
Answers
So 30 questions on the test
27 ÷ 90 = 30
My sister and I are buying a television for our room. Because I am older, I will pay $45 more than my sister. If the television costs $299, then how much does my sister have to pay.
Answers
On your math quiz, you earn 5 points for each question that you answer correctly. In the equation below, x represents the number of questions that you answer correctly on your math quiz, and y represents the total number of points that you score on your quiz.
Answers
Answer:
you earn 25 because 5x5 is 25
Step-by-step explanation:
Answer:
Dependent-y
Independent-x
Step-by-step explanation:
For the following sample of n 5 10 scores:
a. Assume that the scores are measurements of a discrete variable and find the median.
b. Assume that the scores are measurements of a continuous variable and find the median by locating the precise midpoint of the distribution.
Scores: 2, 3, 4, 4, 5, 5, 5, 6, 6, 7
Answers
Answer:
Step-by-step explanation:
Given that:
scores = 2, 3, 4, 4, 5, 5, 5, 6, 6, 7
Since the scores are already in ascending order; then the median which is the middle number will be:
median = (5th term + 6 term)/2
median = (5+5)/2
median = 10/2
meian = 5
b)
Use the cumulative percentage table
X frequency cumulative frequency cumulative percentage
2 1 1 10%
3 1 2 20%
4 2 4 40%
5 3 7 70%
6 2 9 90%
7 1 10 100%
fraction = the no. required to reach 50%/ no. in that interval
= 1/3
Since we have a total of 4 boxes when we reach the value of 4.5
The median of the continuous variable = 4.5 + (1/3)
The median of the continuous variable = 4.833
The median of the continuous variable ≅ 5
Answer:
Step-by-step explanation:
Given that:
scores = 2, 3, 4, 4, 5, 5, 5, 6, 6, 7
Since the scores are already in ascending order; then the median which is the middle number will be:
median = (5th term + 6 term)/2
median = (5+5)/2
median = 10/2
median = 5
Let g be the function given by g(x)=√ 1−sin2x. Which of the following statements could be false on the interval 0≤x≤π ?
Answers
The statement that could be false on the interval is if x is greater than π/2
Given the function g(x)=√ 1−sin2x
We are to get the value of x that will make the function not exist. For the function not to exist, hence:
sin2x> 1
Solve the expression for x
2x > arcsin(1)
2x > π
x > π/2
This shows that the statement that could be false on the interval is if x is greater than π/2
Learn more here: https://brainly.com/question/18738481
Type the slope-intercept equation of the line that passes through the points (6, 5) and (-6, -4)
Answers
Answer:
y=3/4x+1/2
Step-by-step explanation:
slope intercept form: y=mx+b
find the slope with y2-y1/x2-x1: (-4-5)/(-6-6)= 3/4
substitute one of the coordinates in the equation with the slope: 5=3/4(6)+b
solve to find b:
b=1/2
substitute in the equation:
y=3/4x+1/2
Evaluate -2x^2y, if x=-3 and y=-1.
-12
18
O 12
-18
Answers
Answer:
mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
questions
Step-by-step explanation:
mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
write the equation of the line
that passes through the points.
(-1, -7) and (1, 3)
Answers
Answer the statistical measures and create a box and whiskers plot for the following set of data
2,5,7,8,8, 10, 11, 12, 14, 14, 15, 16, 18, 18, 19
Min:
Q1:
Med:
Q3:
Max:
Answers
Answer: 478161
Step-by-step explanation:
Find the degree of the monomial.
8b^7c^2
The degree of the monomial is?
Answers
Answer:
49c2
Step-by-step explanation:
the royal fruit company produces two types of fruit drinks. the first type is 40%pure fruit juice the second is 85%pure fruit juice. the company is attempting to produce a fruit drink that contains 70% pure fruit juice. how many pints of the two existing types of drinks must be used to make 90pints of a mixture that is 70%pure fruit juice
Answers
(70% * x) + 95% (90-x) = 75% (90 pints)
0.7x + (0.95)(90-x) = (0.75)(90)
0.7x + 85,5 -0.95 x = 67.5
67= 0.25x
x - 72 pints
y=90-x = 18
so you need 72 pints of the first juice and 18 pints of the second juice mixed to form 90pints
Can someone help me please answer my question.
Answers
A.6 inches
B.8 inches
C.10 inches
D.12 inches
Answers
Step-by-step explanation:
volume of a rectangular prism is V=LWH
L is length and that is 20
W is width and that is 20
H is height and that is 6
The reason that L and W are 20 is because you would multiply those to get the base, and the base is already given, 400.
Since you know the volume is 2,400, a quick trick is that you divide 2,400/400. That equals 6.
So 20 x 20 x 6 = 2400
Stephen buys a melon and divided into six servings he eats 1/3 of the melon or over the weekend how many slices of melon does Stephen eat over the weekend?
Answers
Answer:
2 slices
Step-by-step explanation:
As given, Stephen buys a melon and divides it into 6 servings. And he eats 1/3 melon over the weekend. Hence, Stephen eats 2 slices over the weekend.
Valencia is solving this number riddle using guess and check. What number multiplied by eight is equal to forty? Valencia must find . To use guess and check, Valencia can different numbers by . multiplied by eight is equal to forty.
Answers
Answer:
first one is A second on is C third is B fourth is B HOPE THIS HELPS
Answer:
1. A
2.C
3.B
4.B
Step-by-step explanation:toke test
what is the missing number in 100+
blank=1,0000
Answers
Answer:
9900
Step-by-step explanation:
Answer:
0.01
Step-by-step explanation:
factor the expression: 14 + 28
Answers
Answer:
14 + 28 = 42
Step-by-step explanation:
2 x 3 x 7
wich of these can be write as an equation
Answers
How do you solve the equation
Please explain
Answers
Answer:
x=27
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5/3x-4/3x-1=8
5 /3 x+ −4 /3 x+−1=8
(5 /3 x+ −4 /3 x)+ (−1) =8 (Combine Like Terms)
1/3x-1 =8
1/3x=9
(1/3 x) x 3 = 3 x 9
x=27
Answer: x=27
Step-by-step explanation: if you want to Solve for X, you have to by simplify both sides of the equation, then isolating the variable.
[tex]7 5/8 - 4 2/8=[/tex]
Answers
Answer is [tex]\frac{33}{8}[/tex]
Round 2,542 to the nearest thousand
Answers
Answer:
The answer is 3,000 because the 5 next to the 2 make it go up
Step-by-step explanation:
Answer:
3000
Step-by-step explanation:
5 or bigger round up
4 or smaller round down
An elevator started at the first floor and went up 18 floors. It then came down 11 floors and went back up 10. At what floor was it stopped?
Answers
Answer:
It then came down 11 floors and went back up 16. At what floor ... an elevator started at the first floor and went up 18 floors. It then ... up 16. At what floor was it stopped. 1 ... hassalmughal10 is waiting for your help. Add your
YES or NO for each statement
Answers
A tank contains 250 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.
Answers
Answer:
[tex]A(t)=250-230e^{-\frac{t}{50} }[/tex]
Step-by-step explanation:
A(t) is the amount of salt in the tank at time t.
dA / dt = rate of salt flowing into the tank - rate of salt going out of the tank
dA / dt = (1 g/L)*(5 L/min) - (A(t)/250 g/L) * (5L/min)
dA / dt = 5 g/min - (A(t) / 50) g/min
[tex]\frac{dA}{dt}+\frac{A(t)}{50} = 5\\\\The\ integrating\ factor(IF)= e^{\int\limits \frac{1}{50}dt }=e^{\frac{t}{50} }\\\\Multiplying\ through\ by\ the\ I.F:\\\\\frac{dA}{dt}*e^{\frac{t}{50} }+\frac{A(t)}{50}*e^{\frac{t}{50} } = 5*e^{\frac{t}{50} }\\\\Integrating \ both \ sides:\\\\\int\limits[ \frac{dA}{dt}*e^{\frac{t}{50} }+\frac{A(t)}{50}*e^{\frac{t}{50} }] dt=\int\limits 5e^{\frac{t}{50} } dt\\\\A(t)e^{\frac{t}{50} } =\int\limits 5e^{\frac{t}{50} } dt\\\\[/tex]
[tex]A(t)e^{\frac{t}{50} } =250e^{\frac{t}{50} }+C\\\\A(t)=250+Ce^{-\frac{t}{50} }\\\\But\ A(0) = 20\\\\20=250+Ce^{-\frac{0}{50} }\\\\C+250=20\\\\C=-230\\\\A(t)=250-230e^{-\frac{t}{50} }[/tex]
Whats 9000 times 20 to the 18th power?
Answers
Answer:
2.359296x10^27
Step-by-step explanation:
Answer:
sorry going to the 18th power is a bit too much. however 9,000 x 20 = 18,000
Step-by-step explanation: