The wedge is one-eighth of the wheel of cheese. A cylindrical-shaped wheel of cheese has a radius of 3 inches and height of 1 inch. A wedge of cheese is sliced from the whole. a. Find the surface area of the cheese before it is cut, round to the nearest hundredth. The surface area of the cheese before it is cut is in. $^2$ . b. Find the surface area of the remaining cheese after the wedge is removed, round to the nearest hundredth. The surface area of the remaining cheese after the wedge is removed is about square inches. Question 2 Did the surface area increase, decrease, or remain the same
Answer:
1. a. 75.39 in² b. 65.97 in²
2. Decreased
Step-by-step explanation:
1.
a. Find the surface area of the cheese before it is cut, round to the nearest hundredth.
Since the cheese is a cylinder with radius, r = 3 inches and height, h = 1 inch, its tital surface area, A = 2πr(r + h)
Substituting the values of the variables into the equation, we have
A = 2πr(r + h)
A = 2π(3 in)(3 in + 1 in)
A = (6π in)(4 in)
A = 24π in²
A = 75.39 in²
b. Find the surface area of the remaining cheese after the wedge is removed, round to the nearest hundredth.
Since the area of the wedge, A' is one-eight the area of the cheese, A
A'= A/8
= 75.39 in²/8
= 9.42 in²
The area of the remaining cheese is thus, area of cheese - area of wedge = A - A' = 75.39 in² - 9.42 in² = 65.97 in²
Question 2 - Did the surface area increase, decrease, or remain the same
Since the area of the remaining cheese, A' = 65.97 in² < A = 75.39 in², area of original cheese, the surface area decreased.
Add 8/9+4/9 and Simplify the answer and write as a mixed number.
Answer:
1 1/3
Step-by-step explanation:
Answer:
12/9= 1 and 1/3
Step-by-step explanation:
Solve the following percentage problem 85%of 40
Answer:34
85% of 40 = 34
Step-by-step explanation:85 percent of 40? = 34.
Answer:
34
Step-by-step explanation:
Elvin has three sails of different sizes for his model ships. Which of the sails are congruent, and which are similar?
45°
15 in.
3x in.
9 in.
- 10x)
5 in 4593 in.
Fly - 10x)"
EK IF
z in.
255
55°
BK
A 80
R
OR
4 in.
4 in.
Sail 1
Sail 11
Sail III
Similar means angles are the same
Congruent means angles and sides are the same.
Sail 1 and sail 2 have the same angles but the sides are not the same.
So sail 1 and sail 2 are similar.
A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the edge of the wheel? 4π 8π
Answer:
[tex]v=\dfrac{\pi}{2}\ ft/s[/tex]
Step-by-step explanation:
Given that,
A wheel with radius 1 foot makes 1 revolution in 4 seconds
We need to find the linera velocity of a point on the edge of the wheel. We know that, the linear velcity is given by :
[tex]v=r\omega[/tex]
Where
[tex]\omega[/tex] is angular velcocity,[tex]\omega=2\pi\ rad[/tex]
[tex]\omega=\dfrac{1}{4}\times 2\pi\\\\=0.5\pi\ rad/s[/tex]
So
[tex]v=1\times 0.5\pi\\\\v=\dfrac{\pi}{2}\ ft/s[/tex]
So, the linear velocity of the wheel is equal to [tex]\dfrac{\pi}{2}\ ft/s[/tex].
Answer:
pi/2
B
Step-by-step explanation:
Got it right on EG
One angle of a right triangle measures 75º. What is the measure of the other acute angle?
A company has recently been hiring new employees. Today the company has 26% more employees than it did a year ago. If there are currently 56,700 employees, how many employees did the company have a year ago?
Answer:
I am pretty sure 237
Step-by-step explanation:
Find the range for the data. 1480, 1375, 1285, 1740, 1195, 1785, 1710, 1725, 1355, 1890, 1455
Answer:
The range of the data value is 695.
Step-by-step explanation:
Please mark me brainlliest!
Answer:
695
Step-by-step explanation:
Range is the difference between the largest and smallest value.
1480, 1375, 1285, 1740, 1195, 1785, 1710, 1725, 1355, 1890, 1455
1890 - 1195
695
On a multiple-choice test over English vocabulary, Roy got 16 out of 20 correct. What percent of the problems did she
miss? Round your answer to the nearest tenth of a percent, if necessary.
Answer:
20%
Step-by-step explanation:
100/20 (the number of questions) = 5 (how much each question is worth)
16(the number of questions she got correct) times 5 is 80
She got 80 percent correct
That means that she missed 20 percent
Try Again
The price of an item has been reduced by 70%. The original price was $49.
Use the ALEKS calculator to find the price of the item now.
s
Answer:
$34.30
Step-by-step explanation:
Use the equation:
F=P(r)
F=final price
P=principal (starting) amount
r=rate, normally a percent and has to be converted to a decimal
**Since this problem asks us to go down, there is no 1+r. That's when it gives us the final price and asks us to find the original.
Plug in the values: F = 49(.7)
F=$34.30 (don't forget the $ sign)
find he prodct
4(-2)
Answer:
-8
Step-by-step explanation:
four times two equals eight, positive times negative equals negative, so -8
Answer:
-8
Step-by-step explanation:
4(-2)=4×(-2)=-8 I Know The Answer Is Correct I Am Sure.
Find the measurement indicated. Round to the nearest tenth.
9514 1404 393
Answer:
22.015.030.0°137.0°Step-by-step explanation:
These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...
c² = a² +b² -2ab·cos(C)
The square root of this gives the side length:
c = √(a² +b² -2ab·cos(C))
Rearranging the equation, we can obtain an expression for the angle C.
C = arccos((a² +b² -c²)/(2ab))
These two formulas are used to solve the offered problems.
__
1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506
AC ≈ 22.0
__
2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249
BC ≈ 15.0
__
3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)
∠B ≈ 30.0°
__
4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)
∠B ≈ 137.0°
Arnold's entire workout consisted of 10 minutes of warm up exercise, 25 minutes of lifting weights, and 15 minutes on the treadmill. What was the ratio of the number of minutes he lifted weights to the total number of minutes of his entire workout?
Add all the times together:
10 + 25 + 15 = 50 minutes total.
For the ratio divide the time for weights by total time:
25/50 which reduces to 1/2
The ratio is 1/2
Answer:
15:50 = 3:10
3:10 is the answer
If 20% of a number is 12, then what is 30% of the same number
Answer:
18
Step-by-step explanation:
0.2x = 12
Same as: 1/5x = 12
Multiply both sides by 5
x = 60
0.3 * 60 = 18
Use GCF and the distributive property to write equivalent
expressions.
A) 6x + 9y
B)3c +11c
Answer:
Step-by-step explanation:
Greatest common factor of 6x and 9y is 3.
6x + 9y = 3(2x + 3y)
:::::
Greatest common factor of 3c and 11c is c.
3c + 11c = (3+11)c
I need help on number 26
Answer:
The number of required shelves is 5
You have to find the HCF of 45, 105, and 75.
What is the radius of a hemisphere with a volume of 81449 ft, to the nearest tenth
of a foot?
Answer:
44
Step-by-step explanation:
Given the following data, find the weight that represents the 28 percentile
Answer:
so I just tried to find the mean (average) and it was: 6.3
1. Determine the three-dimensional figure that will be created using the following nets.
Answer:
triangular pyramid
Step-by-step explanation:
Answer:
triangular pyramid
cone
Step-by-step explanation:
In a different game, the probability of correctly guessing which of 5 boxes contains a tennis ball is 1/5. About how many winners would be expected if 60 contestants play the game?
Answer:
12
Step-by-step explanation:
An online store sells flower arrangements for birthdays and other special events. In a review of their production costs, the
online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5
dollars.
Construct a confidence interval for the mean cost (in dollars) for one shipment of vases.
Answer: A confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)
Step-by-step explanation:
Confidence interval for mean: Mean ± Margin of error
Given: The online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5 dollars.
A confidence interval for the mean cost (in dollars) for one shipment of vases
[tex]=(54-5, 54+5)\\\\=(49,59)[/tex]
Hence, a confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)
Which ordered pair is a solution to the system
Answer:
I think it might be this one(-2,0)
2.45 divided by 0.17 =
Its not 14.41176470588235
Answer:
0.06938775
Step-by-step explanation:
This is the correct answer.
What is the median of 2,1,2,5,3
Answer:
2
Step-by-step explanation:
Rearrange the data set in numerical order: 1, 2, 2, 3, 5 and take the number in the middle.
Logan purchased 20 stamps at the post office for $8.40. What is the cost of one stamp?
Answer:
.42
Step-by-step explanation:
Step-by-step explanation:
Divide 8.40 by 20, use a calculator. Make sure to put $ in your answer.
Experts believe the rate of obesity (defined as having a BMI greater than 30) of adults in the United States is approximately 24.5%. A Gallup poll examined the rate of obesity in adults in the United States with a survey of 86,664 randomly sampled U.S. adults. Of the adults surveyed, 23,053 said that they were obese. The shape of the sampling distribution for the sample proportion when taking samples of size 86,664 from this population follows a ____________ distribution.
Answer:
Normal distribution.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
Samples larger than 30, which means that the sampling distribution for the sample proportion follows a normal distribution.
-5x+5y=10
3x-3y= -10
Answer:
ummmm math?
Step-by-step explanation:
A school district is considering moving the start of the school day at Groveland High from 8:00 a.m. to 9:00 a.m. to allow students to get more sleep at night. They want to estimate how many more hours of sleep teens get if their school starts at 9:00 a.m. compared to teens whose schools start at 8:00 a.m. The district takes random samples of 50 of students from Groveland High and 39 students from Phillips High School, which starts at 9:00 a.m., and surveys them about their sleep habits. The sample mean number of hours of sleep per student at Groveland is 7.1 hours, and the standard deviation is 1.7 hours. At Phillips, the sample mean is 8.3 hours of sleep, with a standard deviation of 1.9 hours. What is the 90% confidence interval for the difference in mean hours of sleep for students at the two high schools
Answer:
The answer is "[tex]\bold{(7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} }\\\\[/tex]"
Step-by-step explanation:
Given values:
[tex]\bar{x_1}=7.1\\\\\bar{x_2}=8.3\\\\s_1=1.7\\\\s_2=1.9\\\\n_1=50\\\\n_2=39[/tex]
Using formula:
[tex]\to (\bar{x_1} -\bar{x_2}) \pm t \sqrt{\frac{(s_1)^2}{n_1}+\frac{(s_1)^2}{n_2}} \\\\[/tex]
Put the values in the above formula:
[tex]\to (7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} \\\\[/tex]
What is 125% of 144?
Answer:
180
hope this helps :)
Bob has $2,500 in a savings account that earns 3 % annually. How much will he earn in interest in 1 year?
Use the formula = , where is the interest earned, is the principal (starting amount), is the interest rate expressed as a decimal, and is the time in years.
Answer:
the answer is 2575 I believe
Step-by-step explanation:
(2500x3x1/100)
(2500+75)