8. Determine the area of a sector
with a central angle of 42° in a
circle with radius 3 inches.
NEED IT ASAP
Answer:
[tex]\boxed {\boxed {\sf A \approx 3.3 \ in^2}}[/tex]
Step-by-step explanation:
Since we are given the central angle in degrees, we should use the following formula for sector area.
[tex]A= \frac {\theta}{360}* \pi r^2[/tex]
The angle is 42 degrees and the radius is 3 inches. Therefore,
[tex]\theta= 42 \\r=3 \ in[/tex]
[tex]A=\frac {42}{360} * \pi (3 \ in)^2[/tex]
Solve the exponent.
(3 in)²= 3 in*3in = 9 in²[tex]A=\frac {42}{360} * \pi (9 \ in^2)[/tex]
Multiply all three numbers together.
[tex]A= 0.116666666667* 3.14159265359 * 9 \ in^2[/tex]
[tex]A=3.29867228627 \ in^2[/tex]
Let's round to the tenth place. The 9 in the hundredth place tells us to round the 2 up to a 3.
[tex]A \approx 3.3 \ in^2[/tex]
The area of the sector is approximately 3.3 square inches.
Please Help i give brainies
Step-by-step explanation:
[tex] \sqrt{3} is \: between \: 1.73and1.74[/tex]
is the table linear or not
Answer:
No, the table is not linear.
Step-by-step explanation:
Between the x and y there has to be a constant rate. There is no constant rate.
what are the factors of ×^2+4×+3
Answer:
(x+3)(x+1)
Step-by-step explanation:
I'm assuming you need to factorise?
Answer:
(x+1)(x+3)
if u want me to explain how it works let me know
Consider the following polynomial.
2y9−y6+2+7y10
Identify the degree.
Answer:
degree- 10
Step-by-step explanation:
The degree is the largest exponent on the variable.
A 90 ounce bag of nuts has cashews and peanuts in it. The peanuts weight is 10 more than 3
times the weight of the cashews. Find the weight of the cashews and peanuts.
Answer:
20 ounces of cashews and 70 ounces of peanuts
Step-by-step explanation:
x+3x+10=90
4x+10=90
4x=80
x=20
2+3i / 1-4i simplify
Answer:
=2−i
Step-by-step explanation:
Hope this helps :)
BRAINLIEST PLSSS I HAVE A LITTLE BIT POINTS :|
What is radiant energy from the sun called
Answer:
Solar rays
Step-by-step explanation:
Either that or uv rays
Answer:
Electromagnetic Radiation
Step-by-step explanation:
Exercise 8.3.4: Selecting coders for 3 different projects. About (a) A manager must select three coders from her group to write three different software projects. There are 7 junior and 3 senior coders in her group. The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person. How many ways are there for her to assign the three coders to the projects if no person can be assigned to more than one project
Answer:
168 ways
Step-by-step explanation:
Given
[tex]Junior = 7[/tex]
[tex]Senior = 3[/tex]
Required
Number of ways 3 project can be assigned
Starting with the second project.
This can be assigned to only senior coders
So:
[tex]n_1 = 3[/tex]
Then, the third project.
This can be assigned to only junior coders
So:
[tex]n_2 = 7[/tex]
At this point, we are left with 2 senior coders and 6 junior coders
Since the first can be assigned to anybody.
[tex]n_3 =2+ 6[/tex]
[tex]n_3 =8[/tex]
The number of selection is then calculated as:
[tex]n = n_1 * n_2 * n_3[/tex]
[tex]n = 3 * 7 * 8[/tex]
[tex]n = 168[/tex]
What expression is equal to 5,007.992?
Mike did so well with his bike sale, he's going to Discount his helmets 15% off. If the Sale Price is $23.80, find the ORIGINAL PRICE of a helmet.
Answer:
$3.57
Step-by-step explanation:
Multiply $23.80 by %15
Change %15 to a decimal by multiplying it by 100.
0.15 x $23.80= $3.57
Need help on this question
Answer:
Step-by-step explanation:
arc between cars = 360°/25 = 14.4°
θ = 14.4° × π/180 ≅ 0.2512 radian
r = 150/2 = 75 ft
s = rθ = 75×0.2512 = 18.84 ft
area of circle = πr² = 75²π ≅ 17,662.5 ft²
area of sector = 17,662.5/25 = 706.5 ft²
write the equation of a line parallel to y=3/2x-4 and has a Y intercept of -3
Answer:
one sec
Line that is parallel:
Step-by-step explanation:
A jar contains n nickels and d dimes. There is a total of 257 coins in the jar. The value of the coins is $17.35. How many nickels and how many dimes are in the jar?
Answer:
Here's what we know:
n + d = 20 (there are a total of 20 nickels and dimes)
.05n + .1d = 1.4 (total change equals $1.40)
There are a couple of ways to solve this. You can go the elimination method by multiplying the second equation by an amount to get rid of a variable, or we can go substitution by isolating a variable in the first equation. I'll go with elimination in this case:
-10(.05n + .1d = 1.4) this will cause the d-variable to equal 0:
n + d = 20
-.5n - d = -14
------------------
.5n = 6
n = 12
Now that we know n, we can solve for d:
12 + d = 20
d = 8
Check:
.05 * 12 + .1 + 8 = 1.4
.6 + .8 = 1.4
1.4 = 1.4
Step-by-step explanation:
Consider triangles CBD and BDE and answer the questions that follows
2.1 Which side is common in both triangles?
2.2 What can be concluded about the heights of A CBD
and A BDE? Give a reason for your answer.
2.31 Using your answers from 2.1 und 2.2 above complete
the following statements:
2.3.1 Area of A CBD
2.3.2 Area of ABDE
2.4 What can be concluded about the area of A CBD and
ABDE?
Answer:
Step-by-step explanation:
∠ABD ≅ ∠BDE..... (given).... (1)
m∠ABD + m∠CBD = 180°... (straight line ∠'s)... (2)
From equations (1) & (2)
m∠BDE + m∠CBD = 180°....(3)
m∠BDE + m∠CDB = 180°... (straight line ∠'s)... (4)
From equations (3) & (4)
m∠BDE + m∠CBD = m∠BDE + m∠CDB
m∠CBD ≅ m∠CDB.. (Proved)
Please Help Quickly :)
The area of the top of a rectangular coffee table, in square units, is represented by the expression: (2x-11)(2x+11). Which expression represents an equivalent area?
A.) (4x^2-121) Square units
B.) (4x^2-44x+121) Square units
C.) (4x^2 +44x-121) Square units
D.) (4x^2+121) Square units
I will gve you brainliest if it is the correct awnser and if you help me quickly
Answer:
Step-by-step explanation:
2x * 2x = 4x^2 and -11 * 11 = -121
X/23 = 21/34 round to hundredths place
Answer:
The answer is 14.19
Step-by-step explanation:
34 / 23 = 1.48
21 / 1.48 = 14.19
I hope this helps you! :D
thank you to whoever helps
(3,1) would be the right answer
please i will give you brainly -1,8÷9 I need step by step
Answer:
-0.2
I couldn't get step by step but hope this answer helps out a little...
(Do you need it for ur assignment?)
Step-by-step explanation:
-18/9 = 2, 9 goes into 18, 2 times, but a negative divided by a positive always = a negative number so the answer would come out to be -2.
-18/9 = 2, 9 goes into 18, 2 times, but a negative divided by a positive always = a negative number so the answer would come out to be -2.
however is you were typing -1.8 / 9 then it would be -0.2. Multiplying -0.2 * 9 would give you -1.8. Same rule applies as to why it's negative
I wasn't sure if the comma was a typo in your question but I Hope this helps :)
Whales have one of the longest gestation periods of any mammal. According to a website, the mean gestation period for a whale is 15 months. Assume the distribution of gestation periods is Normal with a standard deviation of 12 months
a. Find the standard score associated with a gestation period of 13.8 months
b. Using the Empirical Rule and your answer to part a, what percentage of whale pregnancies will have a gestation period between 13.8 and 15 months?
c. Would it be unusual for a whole to have a gestation period of 21 months? Why or why not?
The standard score associated with a gestation period of 13.8 months is __________.
Answer:
a) The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex]
b) 34% of whale pregnancies will have a gestation period between 13.8 and 15 months.
c) Since when [tex]X = 21[/tex], [tex]Z = 5 \geq 2[/tex], it would be unusual for a whale to have a gestation period of 21 months.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If [tex]Z \geq 2[/tex] or [tex]Z \leq -2[/tex], the measure X is considered to be unusual.
According to a website, the mean gestation period for a whale is 15 months. Assume the distribution of gestation periods is Normal with a standard deviation of 1.2 months.
I corrected to 1.2 because it is what makes sense considering the questions.
This means that [tex]\mu = 15, \sigma = 1.2[/tex]
a. Find the standard score associated with a gestation period of 13.8 months
This is Z when X = 13.8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{13.8 - 15}{1.2}[/tex]
[tex]Z = -1[/tex]
The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex]
b. Using the Empirical Rule and your answer to part a, what percentage of whale pregnancies will have a gestation period between 13.8 and 15 months?
The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex], which means that it is one standard deviation below the mean.
The normal distribution is symmetric, which means that of the approximately 68% of measures within one standard deviation of the mean, 68%/2 = 34% are within one standard deviation below the mean(in this case, 13.8) and the mean(in this case 15), and 34% are within the mean and one standard deviation above the mean.
So 34% of whale pregnancies will have a gestation period between 13.8 and 15 months.
c. Would it be unusual for a whale to have a gestation period of 21 months? Why or why not?
Let's find the z-score
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{21 - 15}{1.2}[/tex]
[tex]Z = 5[/tex]
Since when [tex]X = 21[/tex], [tex]Z = 5 \geq 2[/tex], it would be unusual for a whale to have a gestation period of 21 months.
Which number produces a rational number when added to 1/5
Answer: 2/3
Step-by-step explanation:
Answer: -2/3
Step-by-step explanation:
Hope This Help?
Please Mark Me brainly!
What is 5+5? Please help the lol
Answer:
10
Step-by-step explanation:
5+5=10
your answer is 10
Answer:
10
Step-by-step explanation:
1+1= 2
1+1 = 2
2+2= 4
4 + 1 = 5
5 + 5 = 10
In a tennis tournament, 25% of Sarah’s serves were aces. Design a simulation to predict how many aces you expect Sarah to serve out of 50 serves.
HELP PLEASE I'LL GIVE BRAINLIEST!!!!!!!!!
Answer:
12.5
Step-by-step explanation:
u put the decimal at the end of 25 then u times it by 50 and there u get ur answer
hope this helps :D
The television show 50 Minutes has been successful for many years. That show recently had a share of 15, which means, that among the TV sets in use, 15% were tuned to 50 Minutes. An advertiser wants to verify that 15% share value by conducting its own survey, and a pilot survey begins with 15 households have TV sets in use at the time of a 50 Minutes broadcast.
Required:
a. Find the probability that none of the households are tuned to Lindsay and Tobias. (Round to three decimal places as needed)
b. Find the probability that at least one household is tuned to Lindsay and Tobias.
c. Find the probability that at most one household is tuned to Lindsay and Tobias.
d. If a most one household is tuned to Linday and Tobias, does it appear that the 15% share value is wrong? Why or wh not?
Answer- b
Step-by-step explanation:
its b
4. Determine the volume of the eraser below. 3 in 1.5 in eraser 1 in
Answer:
volume = 4.5 in³
Step-by-step explanation:
V = L x W x H
V = 3 x 1.5 x 1 = 4.5
a scatter plots allows us to investigate _____ between the ____ ____.
Answer:https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10
Step-by-step explanation:hope this helps
Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations about the given lines.
y = root x
y = 0
x = 3
the x-axis
the y-axis
the line x = 3
the line x = 6
Answer:
x-axis = [tex]\frac{9\pi }{2}[/tex]
y-axis = [tex]\frac{4\pi }{5} .3(^{\frac{5}{2} } )[/tex]
Line x =3 : [tex]\frac{44\sqrt{3} }{5} \pi[/tex]
Line x = 6 : [tex]\frac{84\sqrt{3}\pi }{5}[/tex]
Step-by-step explanation:
Given lines : y = √x
y = 0
x = 3
To determine the volumes generated we will use the disk method for each of the lines,
attached below is the detailed solution for line x =3 , same procedure will be repeated for each value of x and y to obtain the given results
The volume generated ( x axis )
= [tex]\frac{9\pi }{2}[/tex]
volume generated ( y _axis )
= [tex]\frac{4\pi }{5} .3(^{\frac{5}{2} } )[/tex]
Volume about x = 3
= [tex]\frac{44\sqrt{3}\pi }{5}[/tex]
Volume about x = 6
= [tex]\frac{84\sqrt{3}\pi }{5}[/tex]
Rewrite the number in Standard form
1.37 x 10-7
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 0.000000137
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Johnny had 600 red apples and 400 blue oranges, then his friend gave him 20 red bananas. He eats all of the bananas, throws away 200 of the blue oranges because he couldn't finish them all, and he fed 100 of the red oranges to his pet rock. How many pumpkin pies does he have now?
Answer choices:
8,000,000
No, he has 6000 bananas
I think he just ordered some offline
He has 300 red apples
Answer:
4 im not sure
Step-by-step explanation:
Consider △BTW as pictured below.
Find W.
Answer:
m<W: 23
Step-by-step explanation:
8x - 9 + 30x - 4 + 13x - 11 = 180
51x - 24 = 180
51x = 204
x = 4
m<W:
8x - 9
8(4) - 9
32 - 9
23