The volume of this cone is 320Tr units. What is the height of this cone if the radius is 8 units?
Answer:
Height = 4.78 unit approximately
Step-by-step explanation:
Volume of a one is given by the formula 1/3πr²h
So given that yhe volume of this cone is equal to 320Tr units
And the radius is 8 units.
Lets determine the height of the cone.
V= 1/3πr²h
But V = 320
r = 8
320 = 1/3((3.14)(8)²h
(320*3)/(3.14*64)= h
960/200.96= h
4.777= h
h = 4.78 unit approximately
What is the value of the underlined digit?
9.206
the underlined number is 2
Answer:
0.2
Step-by-step explanation:
Answer:
0.2
Step-by-step explanation:
Which of the following is the correct equation for the Pythagorean Theorem, where a and b are the side lengths and c is the length of the hypotenuse?
A. a^2-b^2=c^2
B. (a+b)^2=c^2
C.(a-b)^2=c^2
D. a^2+b^2=c^2
Answer:
\(\huge \boxed{ \mathrm{D.} \ \ a^2 +b^2 =c^2}}\)
Step-by-step explanation:
The correct equation for the Pythagorean theorem is:
\(\Rightarrow \ \ a^2 +b^2 =c^2\)
c is the length of the hypotenuse of the right triangle
a and b are the side lengths of the right triangle
What is 4 5/7 + 4 1/4
Answer:
8 27/28 or 251/28
Step-by-step explanation:
Find common denominators then simply add.
Matemáticas resolver problemas
Sheena receives change of $7.55 after paying $20 bill.
How much is the change Sheena receives?Information is graphically represented in a bar graph. To represent value, it makes use of bars that stretch to various heights. Vertical bars, horizontal bars, grouped bars (multiple bars that compare values in a category), and stacked bars can all be used to create bar graphs.
Therefore,
Sheena buys three items, one sandwich and two pretzels.
Given the rate of sandwich = $6.95
Rate of pretzels = $2.75 each
So rate of two pretzels = $2.75 x 2 = $5.5
Total amount paid = $20
To find the change she receives ,
Total payment paid - total amount of items
Total amount for items = $6.95 + $5.5
= $12.45
Change receives = $20 - $12.45
= $7.55
Therefore the change Sheena receives is : $7.55.
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Find the domain and range of the relation.
{(3,-2) (2,1) (-1,0) (1,3)}
what is the equivalent of 5y+9/8=y-1/4+4
Answer: the answer is 21/32 and it is equivalent to 0.65625.
Step-by-step explanation:
Helppppppppppppppppp
Answer:
the answer is 112
Step-by-step explanation:
7² = 49.
4² = 16.
49+3(16+3+2) = 49+3(21) = 49+63 = 112
Answer:
112
Step-by-step explanation:
7² + 3(4² + 3 + 2)
First, exponents
49 + 3(16 + 3 + 2)
Next, distribute 3 to 16, 3, and 2
49 + 48 + 9 + 6
Add 49 and 48
97 + 9 + 6
Add 97 and 9
106 + 6
Add 106 and 6 together to get the answer:
112
I Hope That This Helps! :)
1/2 - 1/8
Answers should be in format 5/2 or 2/5. No decimals or mixed numbers
Answer:
\(\frac{3}{8}\)
Step-by-step explanation:
\(1/2 - 1/8\\\frac{1}{2}-\frac{1}{8}\\\\\mathrm{Least\:Common\:Multiplier\:of\:}2,\:8:\quad 8\\\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\\frac{1}{2}=\frac{1\times\:4}{2\times\:4}=\frac{4}{8}\\\\=\frac{4}{8}-\frac{1}{8}\\\\=\frac{4-1}{8}\\\\=\frac{3}{8}\)
Which of the following explains why this inequality is true?
7 3/8 × 4/5 < 7 3/8
The answers I have to choose from are:
A. When 7 3/8 is multiplied by a number greater than 1, the product is more than 7 3/8
B. When 7 3/8 is multiplied by a number greater than 1, the product is less than 7 3/8
C. When 7 3/8 is multiplied by a number less than 1, the product is more than 7 3/8
D. When 7 3/8 is multiplied by a number less than 1, the product is less than 7 3/8.
The correct option is B: The result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.
Explain about the term mixed fractions:Once kids have a firm grasp on right fractions, they are exposed to mixed numbers and improper fractions.
Divide the numerator and denominator to create a mixed fractions from an incorrect fraction. The solution to this problem is the whole number portion; the leftover portion is the numerator; its denominator stays the same.
We can convert the two fractions to decimal form in order to compare them.
7.375 is equivalent to 7 3/8, and
4/5 is equivalent to 0.8.
7.375 multiplied by 0.8 results in:
7.375 × 0.8 = 5.9
Since the result is 5.9, which is less than 7.375, it follows that 7 3/8 multiplied by 4/5 is less than 7 3/8.
Thus, the result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.
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The cost of a phone is reduced by 15%. The new cost is $104.17. What was the original price of the phone?
Place the tiles in the correct order to solve the equation – 1/3X – 9 = 15.
Answer:
Step-by-step explanation:
-1/3x-9+9=15+9
-1/3x=24*-3/1
x=-72
Given just the graph what 3 steps are required to write the equation of a line?
Answer:
Step-by-step explanation:
step 1:
determining the values for standard form for the equation of a line,
y = mx + c
Step 2:
calculation of m, where m is the gradient or slope which determines how steep the line is.
step 3:
calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept
Find the rectangular equation for the plane curve defined by the parametric equation
x=t+4, y=t^2
-infinity < t < infinity
The rectangular equation for the plane curve defined by the parametric equation x = t + 4, y = t² is; y = x² - 8x + 16
What is the Rectangular Equation?We are given the parametric equations as;
x = t + 4
y = t²
Now, for us to convert parametric equations to a rectangular equation (cartesian equation) means that we are solving for t in terms of x and then plugging it back into the y equation. Therefore, we have;
x = t + 4
t = x - 4
Thus;
y = (x - 4)²
Expanding this gives;
y = x² -4x - 4x + 16
y = x² - 8x + 16
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Can someone help me with this? I’m confused
Answer:
Option 4
Step-by-step explanation:
The domain of this function is the possible values of n that are suitable for this function. Since n represents a number of vehicles, the domain of n should be a whole number (since you cannot have a negative number of vehicles or half of a vehicle).
hope this helps :)
Researchers wish to study the relationship of GPA and family income. The data from 3 students is as follows : GPA 3.0 1.0 2.0 Family income (million ) 3, 2, 1
Calculate the sample correlation coefficient of GPA and family income.
Correlation (GPA, Income) =1. A sample correlation coefficient is called r, while a population correlation coefficient is called rho, the Greek letter ρ. The sample correlation coefficient uses the sample covariance between variables and their sample standard deviations.
GPA Income (GPA-average)^2 (Income-average) ^2 GPA*Income
3 6 1 4 18
1 2 1 4 2
2 4 0 0 8
average 2 4 0.666666667 2.666666667 9.333333
var(GPA) = average((GPA-average)^2) = 0.666
var(Income) = average((Income-average)^2) = 2.666
Correlation (x,y)=cov (x,y) /sqrt (var(x) * var(y))
Hence
cov (GPA, Income)= average (GPA* Income) - average(GPA)* average (Income)
=9.3333-2*4
=1.333
Correlation (GPA, Income)= cov (GPA, Income)/sqrt( var(GPA)*var(Income))
=1.333/sqrt(0.666*2.666)
=1
Correlation (GPA, Income) =1
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HELP PLEASE AS SOON AS POSSIBLE WILL GIVE U BRAINLIST
Answer:
The table represents a nonlinear function because the rate is not constant.
Step-by-step explanation:
As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.
Look at the tape diagram below for the number of boys and the number of girls in a school. Find total number of students in the school.
A deli wraps its cylindrical containers of hot food items with plastic wrap. The containers have a diameter of 5.5 inches and a height of 3 inches. What is the minimum amount of plastic wrap needed to completely wrap 8 containers? Round your answer to the nearest tenth and approximate using π = 3.14.
51.8 in2
99.3 in2
595.8 in2
794.4 in2
The minimum amount of plastic wrap needed to completely wrap 8 containers is 794. 4 in². Option D
What is the minimum amount?The area of each circular end is:
A = πr²
A = 3.14 × (2.75)²
A = 23.68in²
The area of the rectangular side is:
A = h * circumference
circumference = 5.5in * π
circumference = 17.27in
Using the given height of 3 inches, we get:
A = 3in * 17.27
A = 51.81in²
Therefore, the total surface area of each container is:
A = 2 * 23.68 + 51.81
A = 98.17in²
To wrap 8 containers, we need to multiply the surface area of each container by 8:
Total surface area = 8 × 98.17
Total surface area = 794. 4 in²
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Two points are given from each of two lines L1 and L2. Without graphing the points, determine if the lines are perpendicular, Parallel, or neither.
Answer:
the lines are neither
Step-by-step explanation:
a book sold 35,800 copies in its first month of release. suppose this represents 9.7% of the numbers of copies sold to date. how many copies have been sold to date?
round answer to nearest whole number
The answer is 369,072. This is the total number of copies sold to date.
What is equation?An expression that uses symbols to represent the relationship between two or more values.
This is calculated by solving the equation 9.7% × x = 35,800, where x is the total number of copies sold to date.
To solve this equation, we first need to convert the percentage to a decimal.
To do this, we divide 9.7 by 100, giving us 0.097.
We can then multiply both sides of the equation by this decimal, giving us 0.097x = 35,800.
We can then solve for x by dividing both sides of the equation by 0.097. This gives us x = 369,072. This is the total number of copies sold to date.
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749/d * d/749 = 1
d=?
Answer:
D=1
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1
Answer:
I honestly don't know but I think its all real numbers but not zero
Step-by-step explanation:
Classify the two given samples as independent or dependent.Sample 1:The gas mileage for 48 trucksThe gas mileage for 48 trucks nothingSample 2:The gas mileage for the same 48 trucks after receiving a tuneupThe gas mileage for the same 48 trucks after receiving a tuneup nothingChoose the correct answer below.A.The two given samples are independent because different vehicles were sampled.B.The two given samples are dependent because the same vehicles were sampled.C.The two given samples are independent because the same vehicles were sampled.D.The two given samples are dependent because different vehicles were sampled.
Answer:
Option B
Step-by-step explanation:
The two samples are paired as the gas mileage of 48 trucks is measured for before tuneup and after tuneup. The gas mileage of 48 trucks will be affected by receiving tuneup. As the same 48 trucks are selected for tuneup, so the sample will be dependent. Hence the two samples are dependent because the same trucks are sampled.
Two trains start from the same station at the same time, train A is going north
bound while train B is going south bound. After 5 minutes the trains are 10km
apart, in 15 minutes they are 30km apart. How many minutes will it take for the
trains to be 50km apart?
Please give a solution too!:3
The trains will take 25 minutes to be 50km apart from eachother.
After 5 mins the trains are 10km & in 15 mins they are 30km.
So 5minsx5=25mins and 10kmx5=50km
A shipping company rounds up to the nearest ton to figure out shipping charges. If you want to ship 14, 700 statuettes, each weighing 15 ounces, how many tons will you be billed for?
Answer:
6.890625 Tons
Step-by-step explanation:
To get total in ounces: [(14,700 x 15) = 220,500 OZ].
To convert ounces to tons: [(220,500/32,000) = 6.890625 Tons]
is -0.78 greater or less than -5/6
Answer:
\(-0.78 > -\dfrac{5}6 ~~ \text{or}~~-0.78> -0.8\overline 3\)
Step-by-step explanation:
Answer:
-0.78
Step-by-step explanation:
-0.78 and -0.83 With negative you always choose the smaller number because it is closer to 0 or the postive numbers. This makes me pretty sure it is -0.78 correct me if I am wrong.
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Find the value of x and the value of y. A.x = 15, y = 10 B.x = 20, y = 50 C.x = 50, y = 10 D.x = 50, y = 20
Answer:
X = 50
Step-by-step explanation:
(5x - 100) + (x - 20) = 180 (sum of angle on a straight line is = 180)
5x + x -100 -120 = 180
6x - 120 = 180
6x = 180 + 120
6x = 300
x = 300/6
x = 50
For y
3y + y + 140 = 180
4y = 180 -140
4y = 40
y = 40/4
y = 10
PLS PLS PLS I NEED HELP FAAAAAAAASSSSST GIVING BRAINLIEST TO QUICKEST CORRECT
Answer:
c hope this helps
Step-by-step explanation:
Answer:
The correct answer should be C.
using the data on this scatter plot
Answer:
\( - 8(45) + 482 = - 360 + 482 = 122\)
A survey of 512 adults aged 18-24 year olds was conducted in which they were asked what they did last Friday night. It found: 159 watched TV 157 hung out with friends 30 watched TV and ate pizza, but did not hang out with friends 30 watched TV and hung out with friends, but did not eat pizza 48 hung out with friends and ate pizza, but did not watch TV 27 watched TV, hung out with friends, and ate pizza 69 did not do any of these three activities
How may 18-24 year olds (of these three activities) only ate pizza last Friday night?
Answer:
97
There are 97 people who ate pizza (of these three activities) last Friday night.
Step-by-step explanation:
We have
A= 159 watched TV
B=157 hung out with friends
C=30 watched TV and ate pizza, but did not hang out with friends
D=30 watched TV and hung out with friends, but did not eat pizza
E= 48 hung out with friends and ate pizza, but did not watch TV
F=27 watched TV, hung out with friends, and ate pizza
G= 69 did not do any of these three activities
We find out the number of people eating pizza by deducting the number of people not eating pizza from the total number.
So people not eating pizza are listed as A, B, D, G
Total = 512
Those who only ate pizza= total - (A+B+D+G)
= 512 - (159+157+30+69)
= 512- 415= 97
There are 97 people who ate pizza (of these three activities) last Friday night.