Answers
[tex]\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
The given values are :
height (h) = 8 in radius (r) = 5 inWe know,
[tex] \large\boxed{ \mathrm{slant \: \: height} = \sqrt{h {}^{2} + r {}^{2} } }[/tex]
[tex]l = \sqrt{ {h}^{2} + r {}^{2} } [/tex][tex]l = \sqrt{8 {}^{2} + {5}^{2} } [/tex][tex]l = \sqrt{64 + 25} [/tex][tex]l = \sqrt{89}[/tex]Now,
[tex] \large \boxed{\mathrm{lateral \: \: surface \: \:a rea } = \mathrm{\pi rl}}[/tex]
[tex]\pi \times 5 \times \sqrt{89} [/tex][tex] \mathrm{5\pi \sqrt{89 } \: \: in {}^{2} }[/tex]Therefore the correct answer is :
D. 5π√89 in²
_________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
The lateral surface area of the cone with a radius 5 inches and height 8 inch is 5(√89)π square inches
How to calculate the lateral area of the cone?The formula for calculating the lateral area of the cone is expressed as:
V = 1/3πr²h
where:
r is the radiush is the heightGiven the following
r = 5in
h = 8n
Substitute
L = πrl
L = 5π(√8^2+5^2)
L = 5π(√89)
Hence the lateral surface area of the cone with a radius 5 inches and height 8 inch is 5(√89)π square inches
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Related Questions
Please help Solve log7-2b-9=6
Answers
Answer:
See the image below:)
Step-by-step explanation:
Ik its another one of these
Find the measure of angle x in the figure below:
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Step by step:
Lemme get Brainly:)
A group of 4 friends went to a sporting event. It cost a total of $12 for them to get in. How much did it cost for each of them to get in?
Answers
Answer:
$3
Step-by-step explanation:
4 friends = $12
4/12= 3
Answer:
$3
Step-by-step explanation:
12 total divided by four people meanig they each payed $3 12/4 = 3
Jordan’s Cat Fern is a finicky eater. Jordan is trying to determine which of two brands of canned cat food Fern prefers.
Answers
Answer:
There is significant difference in difference in the amount of food ferns eat ; and the preferred is TAB-a-cat.
(0.216, 5.984)
Step-by-step explanation:
This is a 2 sample t test test problem :
The hypothesis :
H0 : μ1 = μ2
H1 : μ1 ≠ μ2
x1 = 85.2 ; x2 = 82.1 ; n1 = 31 ; n2 = 30 ; s1 = 3.45 ; s2 = 4.62
The test statistic :
T = (x1 - x2) / √(s1²/n1 + s2²/n2)
T = (85.2 - 82.1) / √(3.45²/31 + 4.62²/30)
T = 3.1 / 1.0466
T = 2.96
Using the Pvalue from Tstatistic calculator :
df = smaller n - 1 = 30 - 1 = 29
Pvalue(2.96, 29) = 0.006075
α = 0.05
Pvalue < α ; We reject the Null and conclude that there is significant difference in difference in the amount of food ferns eat.
99% Confidence interval :
The test statistic :
(x1 - x2) ± Tcritical *√(s1²/n1 + s2²/n2)
Tcritical at 99% = Tcritical(0.01, 29) = 2.756
(85.2 - 82.1) / 2.756*√(3.45²/31 + 4.62²/30)
3.1 ± 2.8844296
Lower boundary = (3.1 - 2.8844296) = 0.216
Upper boundary = (3.1 + 2.8844296) = 5.984
(0.216, 5.984)
Since interval does not contain 0, then, we reject the Null.
Stephen, Gavin and Jim share
some sweets in the ratio 3:1:2.
Stephen gets 24 sweets. How many
sweets are there altogether?
Answers
Answer:
There are 48 sweets altogether.
Step-by-step explanation:
Ratio: 3:1:2
Stephen: 24 sweets
24/3 = 8
Fill in ratio.
24:8:16
24 + 8 + 16 = 48
Answer:
48 sweets
Step-by-step explanation:
Stephen : Gavin : Jim
3 : 1 : 2
We can say that this means the total amount of sweets get split between the 3 of them into 6 equal parts ( 3 + 1 + 2).
If Stephen gets 24 sweets, this means
3 parts = 24
So to find 1 part, divide 24 by 3.
1 part = 8 sweets
Now we can find the total by multiplying this by 6.
6 parts = 8 x 6 = 48 sweets.
Can anyone help me with my math I have a picture of it
Answers
Math- bbbbbbbbbbbbbbb
Answers
Answer:
b
Step-by-step explanation:
Answer:
B is the correct answer
Hope this helps!! :D
What is the value of m in the equation 4m + 2(m + 1) = 9m + 5?
1. −1
2. 1
3. 7
4. 17
Answers
Answer:
hhhhhhhhhhooooooooooooooooooooo
Step-by-step explanation:
4m+2m+2=9m+5
6m+2=9m+5
6m-9m=5-2
-3m =3
m=3/(-3)
m=-1
please help will mark brainliest for right answer! No links...
Let f(x)=2x^3−x . What is the average rate of change of f(x) from 2 to 8 ?
Answers
Answer:
[tex]f(x) = {2x}^{3} - x \\ \delta \: f(x) = \frac{f(8) - f(2)}{2} \\ = \frac{(2 {(8)}^{3} - 8) - (2 {(2)}^{2} - 2)}{2} \\ = \frac{(1016 - 6)}{2} \\ = \frac{1010}{2} \\ = 505[/tex]
Help besties please flip the picture to see better
Answers
Answer:
E. C= 80+ 12n
Step-by-step explanation:
____________
The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal. If we wanted to limit the margin of error of a 95% con dence interval to 2%, about how many Americans would we need to survey?
Answers
Answer: we need to survey 2285 Americans.
Step-by-step explanation:
When population proportion (p) is known, then the formula to evaluate the sample size( minimum) is given by :-
[tex]n=p(1-p)(\frac{z^*}{E})^2[/tex], where E = margin of error , z* = critical z-value.
Given: p= 0.61, E=0.02, Critical z value for 95% = 1.96
Required sample size: [tex]n=(\frac{1.96}{0.02})^2(0.61)(1-0.61)[/tex]
[tex]=(98)^2(0.61)(0.39)\\\\=9604(0.61)(0.39)\\\\\approx$$2285[/tex]
Hence, we need to survey 2285 Americans.
The hypotenuse of a right triangle is 10cm long. One of the triangle’s legs is three times the length of the other leg. Find the lengths of the three sides of the triangle. In case of non-integer answer(s), round your answer(s) to the nearest hundredth.
Answers
Answer:
side_1 = 10
side_2 = 3.16
side_3 = 9.49
Step-by-step explanation:
pitagora's theorem
[tex]x^2+(3x)^2=10^2\\x^2+9x^2=10^2\\10x^2=10^2\\x^2=10\\x=\sqrt{10}[/tex]
What value is closest to the area of the damaged section?
Answers
Answer:
6.0 square feet
Step-by-step explanation:
6 ÷ 2 = 3(radius)
are of the damaged section = x
77/360 = x/3²π
=> x = 77 × 9π ÷ 360 = 6.0445 <= 6.0 square feet is the closest to this number
20
What is the perimeter of the quadrilateral below? If necessary, round to the nearest tenth.
Answers
Answer:
Perimeter = 33.4 units.
Step-by-step explanation:
The 2 horizontal lines are 10 and 3 units long.
The vertical line is 9 units long.
By Pythagoras the length of the sloping line
= sqrt(9^2 + 7^2)
= sqrt(130)
= 11.4017.
Perimeter = 10 + 3 + 9 + 11.4
= 33.4 units.
A runner runs a distance of 450 metres in a time of 50 seconds. What is his average speed?
Answers
Answer:
0.279 miles / 0.449 km
Step-by-step explanation:
convert the meters into miles/kilometers to get your answer
The average speed of the runner is 9 meters per second.
What is the difference between average and instantaneous speed?The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time.
For instantaneous speed and average speed are equal for an object moving with constant speed.
The distance travelled and time are given as 450 meters and 50 seconds respectively.
The average speed is given as,
Total distance travelled ÷ Total time taken
= 450 ÷ 50
= 9
Hence, the runner has the average speed of 9 m/s.
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CAN SOMEONE HELP ME PLS
Answers
a dilation changes the shape of a figure while the others stay the exact same, they’re just in a different spot.
A because they are preserving? I guess that's the best way for me
Which is an equivalent scale factor of Mr. Barrow's height to the height of the power pole?
A. 162:18
B. 6:54
C. 18:162
D. 54:6
Answers
9514 1404 393
Answer:
C. 18:162
Step-by-step explanation:
Both B and C are the same scale factor, and both correctly express the ratio of the shorter height to the longer one.
The ratio of choice C is directly obtained from the figure, so is probably the best choice.
What does the following translation rule mean? (x+3, y-5) *
O
Move left 5 and up 3
Plot the point (3,-5)
Move upside down 3 and a little to the left 5
Move right 3 and down 5
Answers
==========================================================
Explanation:
The x+3 means "move right 3". We add 3 to whatever the x coordinate is.
For example, the point (1,7) becomes (4,7) after adding 3 to the x coordinate. That visually shifts the point 3 units to the right.
Similarly, subtracting 5 from the y coordinate will shift the point 5 units down. That's what the y-5 is referring to. Example: (10, 12) moves to (10, 7).
----------------
Extra info:
We can write the translation rule as [tex](x,y) \to (x+3, y-5)[/tex]
With this notation, we can then say something like this for example
[tex](x,y) \to (x+3, y-5)\\\\(6,8) \to (6+3, 8-5)\\\\(6,8) \to (9, 3)\\\\[/tex]
Showing that the point (6,8) moves to (9,3) after applying the rule "move right 3, down 5".
The proportion of iphone users over other smart phones is said to be 42%. We believe the propotion may be greater. Determine the sample size needed to test this claim using alpha = 0.05, beta = 0.05, and the maximum error we will allow is 0.10.
A.
322
B.
379
C.
504
D.
269
Answers
Which one of these is written in the slope-intercept form? A. x = mb + y B. x + y = 1/3m C. y = mx + b B. y + b = m+ x
Answers
Answer:
C
Step-by-step explanation:
y = mx + b is the standard form of a Slope-Intercept
Find the sum and Express it in simplest form. (u^3+3u^2+3) + (-6u^3-8u^2)
Answers
Answer:
-5u^3 - 5u^2 + 3.
Step-by-step explanation:
(u^3 + 3u^2 + 3) + (-6u^3 - 8u^2)
= u^3 + 3u^2 + 3 - 6u^3 - 8u^2
= u^3 - 6u^3 + 3u^2 - 8u^2 + 3
= -5u^3 - 5u^2 + 3.
Who has larger pieces of pizza? Joey has a slice of pizza cut from pizza with a radius of 8 in and cut into 6 slices. Susie has a slice of pizza cut from a pizza with a radius of 9 in and cut into 8 slices
Answers
The half life of a drug in the bloodstream is 18 hours. What fraction of the original drug dose remains in 36 hours? in 72 hours?
Answers
Answer:
1/4 in 36 hours
1/8 in 72 hours
To determine the fraction of the original drug dose remaining after a certain time, we can use the concept of half-life. The half-life is the time it takes for half of the drug to decay or be eliminated from the bloodstream.
Given that the half-life of the drug is 18 hours, we can calculate the fraction of the original drug dose remaining after a certain number of hours.
After 18 hours (one half-life), half of the drug remains, which is equal to 1/2 or 0.5 of the original dose.
To find the fraction remaining after 36 hours (two half-lives), we can halve the remaining amount from the previous step:
(1/2) * (1/2) = 1/4 or 0.25
Therefore, after 36 hours, 1/4 or 0.25 of the original drug dose remains.
To find the fraction remaining after 72 hours (four half-lives), we can continue halving the remaining amount:
(1/2) * (1/2) * (1/2) * (1/2) = 1/16 or 0.0625
Therefore, after 72 hours, 1/16 or 0.0625 of the original drug dose remains.
In summary:
After 36 hours, 1/4 or 0.25 of the original drug dose remains.
After 72 hours, 1/16 or 0.0625 of the original drug dose remains.
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please help me asap! i’ll give brainliest!
Answers
Answer:
1/9
Step-by-step explanation:
First find the area of each circle with the formula a= Pi(r^2)
Area of circle with a radius of 4
a= Pi(4^2)
a= 16pi
Area of circle with radius of 12
a= Pi(12^2)
a= 144pi
Now use these values to represent the areas of the circles as a ratio
16pi/ 144pi
The pi's cancel out in this ratio
So we are left with
16/144
We can then go ahead and simplify these numbers as well to get the ratio in the simplest form
1/9
Leah asked for one and 1/2 pounds of fish at the grocery store which value is equivalent to 1 1/2
Answers
Answer:
3/2
Step-by-step explanation:
make into a improper fraction
Mark congruent angles. Write down the ratios.
Answers
Answer:
ratio=AC/FD=AB/ED=BC/FE
Step-by-step explanation:
Jamie will plot ( 9, 5 ) on a coordinate plane. She knows the last step is to put a point where to lines intersect. Which two steps should she use first?
Answers
Answer:
Step-by-step explanation:
54
I think
What is the diameter
Answers
Answer:
From J to K is the diameter
FREE BRANLIEST PLEASE ANSWER WITH CORRECT EQUATIONS
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Answer:
c.153 degrees
Step-by-step explanation:
hope it helps
Linear pairs are supplementary
m<ABD+27=180m<ABD=180-27m<ABD=153°determine the solutions to 12x^2 + 10x + 2 = 0 by factoring
Answers
Answer:
[tex]x = - \frac{1}{3} , - \frac{1}{2} [/tex]
Step-by-step explanation:
2(6x²+5x+1)=0
2(3x+1) (2x+1)=0
either: 3x+1=0 —> 3x=–1 —> x= –1/3
or: 2x+1=0 —> 2x=–1 —> x = – 1/2