Answers
Answer:
C. 314.2 cm²
Step-by-step explanation:
Surface area for cylinder
[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h[/tex],
where r is radius and h is height.
[tex]2\pi r^2[/tex] comes from two times the area of the circle, [tex]2 \pi r h[/tex] is the area of the curved surface.
Given information:
r = 5 cm
h = 5 cm
Insert the values into the formula and evaluate
[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h\\\text{SA} = 2 \pi (5)^2 + 2 \pi (5)(5)\\\text{SA} = 2 \pi (25) + 2 \pi (25)\\\text{SA} = 50 \pi+ 50\pi \\\text{SA} = 100\pi \approx 314.159\\\text{SA} = 314.2 \text{ cm}^2[/tex]
Related Questions
pls answer quickly, thanks !!
Answers
Answer:
14762 ft³
Step-by-step explanation:
Volume of top prism
V = 61 x 8 x (19 - 3)V = 488 x 16V = 7808 ft³Volume of bottom prism
V = 61 x 38 x 3V = 183 x 38V = 6954 ft³Total volume = Volume (top) + Volume (bottom)
7808 + 695414762 ft³Please solve with explanation (high points)
Answers
The measure of the length GF is 4.2 units and IH is 2.27 units. Then the measure of angle ∠ACB will be 24.35°.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The triangle ΔABC and triangle ΔGFC are similar triangles. Then we have
GF / BA = CF / BC
GF / 5.62 = 8.88 / 12.42
GF = 4.018
GF ≅ 4.02
The triangle ΔABC and triangle ΔIHC are similar triangles. Then we have
IH / BA = HC / BC
IH / 5.62 = 5.02 / 12.42
IH = 2.271
IH ≅ 2.27
Then the angle ∠ACB will be
∠ACB = tan⁻¹ (5.62 / 12.42)
∠ACB = tan⁻¹ 0.452
∠ACB = 24.35°
More about the triangle link is given below.
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Which statement best describes the function shown in the graph?
A. The function is positive when x > 1.
B. The function is positive for all values in the domain.
C. The function is positive when x > 0.
D. The function is positive when x > -5.
Answers
Answer:
B
Step-by-step explanation:
since domain should be in positive i thinks this should be answer B
what is172892 divided by 6
Answers
Answer:
28815.3333333
Step-by-step explanation:
Help me on this!! Asap!!
Answers
Answer:
D. Fundamental Principle of CountingD. 32B. 12 waysD. 24B. 18Step-by-step explanation:
Q1
The Fundamental Principle of Counting states that we can find the total number of ways that two or more separate tasks can happen by multiplying the number of ways each task can happen separately.Q2
No. of ways = 2⁵ = 32Q3
No. of ways = 4 x 3 = 12 waysQ4
⁴P₃ = 4! / 1! = 4 x 3 x 2 = 24Q5
No. of ways = 2 x 3 x 3 = 18PLEASE HELP!!!!!!!!
Note: please add the answer next to the number its from so I can know which question was answered
Answers
2)B
1) K < or equal to -5 so smaller than -5 with closed circle
2)K < or equal to 1 so less than 1 with closed circle
PLSS HELP ME WITH THIS !! 20 POINTSS
Answers
Answer:
Choice A.
Step-by-step explanation:
y = 10/5 x
becAUSE 10/5 = 2
Answer:
A
Step-by-step explanation:
the equation of proportionality is
y = kx ← k is the constant of proportionality
A
y = [tex]\frac{10}{5}[/tex] x = 2x ← with k = 2
B
y = [tex]\frac{2}{2}[/tex] x = 1x ← with k = 1
C
y = [tex]\frac{2}{4}[/tex] x = [tex]\frac{1}{2}[/tex] x ← with k = [tex]\frac{1}{2}[/tex]
D
y = [tex]\frac{22}{2}[/tex] x = 11x ← with k = 11
Need asap!!!!!!!!!!!
Answers
Answer:
50 J
Step-by-step explanation:
According to energy conservative law energy can not be destroyed. So as the potential energy has been decreased to 50 J, the decreased amount has become kinetic energy.
100 - 50 = 50
Question 1(Multiple Choice Worth 4 points)
(13.07 MC)
Madge leaves her home at 8:05 to go to school. The drive takes one third hour each way. If she is at school for 7 hours, what time does she arrive home?
3:45
3:25
3:15
3:05
Answers
Answer:
takes 40minutes from home to school and to home so the total time is 7:45 hrs,, arrive home at 3:45
The 95 % confidence interval (use z*) is:
____ to ____
(to 3 decimals)
Answers
Using the z-distribution, it is found that the 95% confidence interval is given by:
[tex]\overline{x} - 1.96\frac{\sigma}{\sqrt{n}}[/tex] to [tex]\overline{x} + 1.96\frac{\sigma}{\sqrt{n}}[/tex]
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
Hence, the interval is:
[tex]\overline{x} - 1.96\frac{\sigma}{\sqrt{n}}[/tex] to [tex]\overline{x} + 1.96\frac{\sigma}{\sqrt{n}}[/tex]
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Find (a) PQ to the nearest tenth and (b) the coordinates of the midpoint of PQ. P(1,4), Q(3,-2)
Answers
Answer:
a) 6.3; b) (2;1).
Step-by-step explanation:
[tex]a) \ |PQ|=\sqrt{(X_P-X_Q)^2+(Y_P-Y_Q)^2}=\sqrt{4+36}=\sqrt{40} =6.3;[/tex]
[tex]b) \ (\frac{X_P+X_Q}{2};\frac{Y_P+Y_Q}{2}); \ = > \ (2;1).[/tex]
A committee must be formed with 2 teachers and 4 students. If there are 9 teachers
to choose from, and 9 students, how many different ways could the committee be
made?
Answers
The total number of different committees that can be made is:
C = 4,536
In how many different ways could the committee be made?If we have a set of N elements, the total number of different subsets of K elements that can be made out of these N is:
[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]
So, the 2 teachers (out of 9) can be selected in:
[tex]C(9, 2) = \frac{9!}{7!*2!} = \frac{9*8}{2} = 36[/tex]
36 different ways.
The 4 students (out of 9) can be selected in:
[tex]C(9, 4) = \frac{9!}{5!*4!} = \frac{9*8*7*6}{4*3*2} = 126[/tex]
126 different ways.
The committee is formed by these two groups, so the total number of different committees that can be made is:
C = 36*126 = 4,536
If you want to learn more about combinations
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Write and solve an equation to find the measure of angle X.
Answers
Answer:
x = 43°
Step-by-step explanation:
In order to find the measure of angle x we'll use Vertical Angles Theorem.
x = 180° - (90 + 47)x = 180° - 137x = 43°Therefore, the measure of angle x is 43° ✓.
«•••••••••••••••••»
NEED HELP PLEASE!!!!!!
Answers
Answer:
i wish i knew im in the same situwantion
Step-by-step explanation:
When the temperature in London is 5 degrees celsius, the temperature in New York is - 7 degrees C. If the temperature in London falls by 6 degrees, what is the new lower temperature.
Answers
Answer:
the temperature in London would be -1 degrees as 5-6=-1
Each of these labelled bags contains two apples.
One bag contains two green apples, another two red apples and the third one green and one red apple.
All three bags are mislabelled. You may look at only one apple from any one of the bags.
Which bag should you select from to be sure you can determine the content of all three bags?
Answers
Step-by-step explanation:
I just answered this.
the key is that ALL current labels are wrong. not "could be wrong", but "definitely wrong".
you need to pick an apple from the originally "red/green" labeled bag.
since that label is wrong, it must be one of the pure color bags.
so, that bag gets the label for the color that we picked.
now we look at the other 2 bags. they are both wrongly labeled, but there are only 2 options : the second color (which we did not use to label the first bag) and "red/green".
the bag with the color label we just assigned to our first bag must therefore get the second color label (if it were "red/green", it would mean that the third bag was actually correctly labeled, which was not the case), and the bag currently with the second color label is the actual "red/green" bag.
The sides of a triangle measure 12 inches, 17 inches, and 24 inches. What is the area of the triangle? Round to the nearest tenth.
Answers
The area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have:
The sides of a triangle measure 12 inches, 17 inches, and 24 inches.
From the formula:
[tex]\rm Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]\rm s = \dfrac{a+b+c}{2}[/tex]
a = 12, b = 17, c = 24 inches
[tex]\rm s = \dfrac{12+17+24}{2} = 26.5[/tex]
Plug all the values in the formula we get:
Area = 95.529 ≈ 95.53 square inches
Thus, the area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.
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I'm sorry if you can't see the questions fully. But I answered the first and last one.
Answers
85 female students do not play games.
85/279 which is 30% were female students who do not play games.
Step-by-step explanation:
Total survey/interview students are 279. 134 are female students and 145 are male students.
dentify the 17th term in the arithmetic sequence.
a1 = 11, d = −2
PLEASE HELP!!!!! IMA DESPRATE
Answers
The arithmetic sequence has a common difference, and a first term and the 17th term in the arithmetic sequence is -21
How to determine the 17th term?The given parameters are:
First term, a = 11Common difference, d = -2The nth term of an arithmetic progression is:
Tn = a + (n - 1)d
So, we have:
T17 = a + 16d
Substitute the given values
T17 = 11 - 16 * 2
Evaluate
T17 = -21
Hence, the 17th term in the arithmetic sequence is -21
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What is the surface of the area of the composite figure
Answers
Answer:
1744.4
First, remove 13
13 and use length times width times height to get the surface area. 14 x 14 x 8.9
Each has a radius of 5 in and a height of 12 in. How much more water can the cylinder hold than the cone? (Use л=3.14)
Answers
The cylinder holds 3 times more water than the cone
volume of the cylinder is (pi) (r^2) (height), volume of the cone is (1/3)(pi)(r^2)(height)
Cone is 1/3 of cylinder volume so cylinder holds 3 times the amount
Cylinder holds 942 cu units, cone holds 314,
Answer cylinder holds 628 cu units more than cone
cyl= 3.14 x 5^2 x 12=942
Cone= 1/3 x 3.14 x 5^2 x 12 = 314
The cost price of a wrist watch of 2500 at 25% gain what’s the selling price
Answers
Answer:
The selling price is $3,125
Step-by-step explanation:
25% of 2500 is 2500 x 0.25 = 625
You will be adding the 25% gain to cost price to find the new price
2500 + 625 = 3125
Answer:
3125
Step-by-step explanation:
from the question,
25% simply means 25/100= 0.25
25% of 2500= 0.25×2500= 625
gain= 625
selling price= 625+2500= 3125
What is the reference angle for 292°?
O A. 12°
O B. 22°
O C. 68°
O D. 78°
Answers
C. 68°
292° lies on 4th quadrant.
Reference angle:1st quadrant: angle
2nd quadrant: 180° - angle
3rd quadrant: angle - 180°
4th quadrant: 360° - angle
So, reference angle: 360° - 292° = 68°
what is :
2 tons + 10 pounds
And
4 tons + 10 pounds
and then explain it properly
Answers
2 tons + 10 pounds = 4,010 pounds
4 tons + 10 pounds = 8,010 pounds
Step-by-step explanation:
2,000 POUNDS EQUALS 1 TON.
a.) 2 tons = 2,000 X 2 = 4,000 pounds
4,000 pounds + 10 pounds = 4,010 pounds
2 tons + 10 pounds = 4,010 pounds
b.) 4 tons = 2,000 X 4 = 8,000 pounds
8,000 pounds + 10 pounds = 8,010 pounds
4 tons + 10 pounds = 8,010
please help! click on the picture
Answers
Step-by-step explanation:
To cover a rectangular region of her yard, Penny needs at least 217 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?
L=length=15.5 ft; W=width; A=area=>217 sq ft
L*W=>217 sq ft Divide each side by L
W=>217 sq ft/L
W=>217 sq ft/15.5 ft=>14 feet
ANSWER: To cover at least 217 sq ft. the width must be at least 14 feet.
Answer:
at least 14 ft
Step-by-step explanation:
The area of the rectangular region is the product of its length and width. We are told the area must be at least some value.
A = LW . . . . . . . . . area formula
A ≥ 217 ft² . . . . . . . . . given constraint
(15.5 ft)W ≥ 217 ft² . . . . . . substitute LW for A, use given length
W ≥ 14 ft . . . . . . . . . . divide by 15.5 ft
The possible width of the region is at least 14 feet.
Describe the symmetry if these functions
Answers
Answer:
see the attachment.
i hope this can help you!
the box and wiskers plot represent the number of minutes spent by users on two different social media groups which THREE statments are correct when comparing the plots
Answers
The true correct statements about the box-and-whiskers plot are:
Median time for Group B is 40Group B varies slightly more than Group A.Spread for Group A (IQR) = 25 What is the Spread and Median of a Data?In a box-and-whiskers plot, the interquartile range (IQR) is a measure of the spread of the data which shows the variability of the data.
Median of a data is the value at the point where the vertical line divides the rectangular box.
Median for Group A is between: 45 and 50
Median time for Group B is: 40.
Therefore, the three statements are:
Median time for Group B is 40Group B varies slightly more than Group A.Spread for Group A (IQR) = 25Learn more bout spread of a data on a box plot on:
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If the volume of a cone is 10 m^3 what is its height if the area of the base is 10 m^2?
Answers
Answer:
3 m
Step-by-step explanation:
[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} b h \quad\textsf{(where b is the area of the circular base and h is the height)}[/tex]
Given:
volume = 10 m³Area of base = 10 m²[tex]\implies \sf 10=\dfrac{1}{3} \cdot 10 \cdot h[/tex]
[tex]\implies \sf 10=\dfrac{10}{3}h[/tex]
[tex]\implies \sf 30=10h[/tex]
[tex]\implies \sf h=\dfrac{30}{10}=3[/tex]
Answer:
height: 3 meter
Explanation:
[tex]\sf volume : \frac{1}{3} \ x \ base \ area \ x \ height[/tex]
Here given:
base area: 10 m²height: hvolume: 10 m³Solve:
[tex]\longrightarrow \sf 10 = \frac{1}{3} \ x \ 10 \ x \ h[/tex]
[tex]\longrightarrow \sf 10 = \frac{10}{3} \ x \ h[/tex]
[tex]\longrightarrow \sf \frac{10 \ x \ 3}{10} = h[/tex]
[tex]\longrightarrow \sf 3 = h[/tex]
evaluate 1/4c + 3d when c = 6 and d = 7
please don't just give me the answer, explainnn because i don't know how to do this
Answers
Answer:
22 1/2
Step-by-step explanation:
1/4×6=1 1/2
3×7=21
21+1 1/2=22 1/2
Answer as a decimal = 22.5
Answer as a fraction = 45/2
===========================================================
Explanation:
Replace c with 6, and replace d with 7.
Then use the order of operations (PEMDAS) to simplify until you get a single number.
[tex]\frac{1}{4}c + 3d\\\\\frac{1}{4}(6) + 3(7)\\\\\frac{6}{4} + 21\\\\1.5 + 21\\\\22.5\\\\[/tex]
If you want to convert this to an improper fraction, then,
[tex]22.5 = 22 + 0.5\\\\22.5 = 22 + \frac{1}{2}\\\\22.5 = 22*\frac{2}{2} + \frac{1}{2}\\\\22.5 = \frac{44}{2} + \frac{1}{2}\\\\22.5 = \frac{44+1}{2}\\\\22.5 = \frac{45}{2}\\\\[/tex]
Check the picture of the necessary information
Answers
in this case if it refers to the data from 2009 it would be 39:61