Answer:
15
Step-by-step explanation:
Solve for the surface area of the figure below..
Answer and Step-by-step explanation:
To find the surface area, we have to find the area of all the faces of the shape, then add them together. We also only use the exposed faces, or the faces on the outside, not the inside.
Lets start with the rectangular prismed shape.
We have two faces with sides of 4 and 5, two faces with sides 16 and 4, and 1 side with 16 and 5.
Rectangles:
4 × 5 = 20
4 × 5 = 20
4 × 16 = 64
4 × 16 = 64
5 × 16 = 80
Now, let's do the triangles up top. There will essentially be 4 triangles, because we split them in half to find the area.
They have side lengths of 6 and 8.
Triangles:
6 × 8 = 48
6 × 8 = 48
6 × 8 = 48
6 × 8 = 48
Now, we have to the two rectangles up top.
They have side lengths of 10 and 4.
Top Rectangles:
10 × 4 = 40
10 × 4 = 40
Now, we add them all together.
20 + 20 + 64 + 64 + 80 + 48 + 48 + 48 + 48 + 40 + 40 =
40 + 208 + 192 + 80 =
520.
The Surface Area of the figure is 520 [tex]m^2[/tex]
#teamtrees #PAW (Plant And Water)
If a sphere is 120 feet in diameter what is the volume?
Help please
Answer:
120
Step-by-step explanation:
For purposes of making on-campus housing assignments, a college classifies its students as Priority A (seniors), Priority B (juniors), and Priority C (freshmen and sophomores). Of the students who choose to live on campus, 22% are seniors, 29% are juniors, and the rest are underclassmen. The most desirable dorm is the newly constructed Gold dorm, and 71% of the seniors elect to live there. 19% of the juniors also live there, along with only 5% of the freshmen and sophomores. What is the probability that a randomly selected resident of the Gold dorm is a senior? Show as much work as possible.
Answer:
The probability that a randomly selected resident of the Gold dorm is a senior is 0.1562
Step-by-step explanation:
The given percentage of each class of student is presented as follows;
Priority A (seniors) = 22%, ∴ P(s) = 0.22
Priority B (juniors) = 29%, ∴ P(j) = 0.29
Priority C (freshmen and sophomores) = (100 - 22 - 29)% = 49%, ∴ P(fs) = 0.49
The percentage of the seniors that elect to live at the Gold dorm, = 71%, ∴ P(sG) = 0.71
The percentage of the juniors that live at the Gold dorm = 19%, ∴ P(jG) = 0.19
The percentage of the freshmen and sophomores that live in the Gold dorm = 5%, ∴ P(fsG) = 0.05
The probability that a randomly selected resident of the Gold dorm is a senior = P(s∩sG) = P(s) × P(sG)
∴ P(s∩sG) = 0.22 × 0.71 = 0.1562
Therefore;
The probability that a randomly selected resident of the Gold dorm is a senior = P(s∩sG) = 0.1562.
A map uses a scale of 2 cm = 50 kilometers. On the map, two cities are 9 cm apart, how far apart are they in real life?
Answer:
they are in 225kilometers apart.
hope it helps.
Which choices are equivalent to the expression below? Check all that apply.
Answer:5
Step-by-step explanation:
Answer:
the answer is 5.
Step-by-step explanation:
_/25 = 5.
Base your answer on Betty is thinking of two consecutive integers whose sum is 41.
What is the value of the larger integer?
Answer:
let the numbers be, x and x+1 ( as it is consecutive number the next number will have 1 more than the number )
sum = 41
so, x + ( x + 1 ) = 41
x + x + 1 = 41
2x + 1 = 41
2x = 41 -1 = 40
2x = 40
x = 40/2 = 20
x = 20
x + 1 = 20 + 1 = 21
so the consecutive numbers whose sum is 40 are, 20 and 21
hope this answer helps you.....
please mark as brainliest... thank you!
4.What is the simplest way to write
3(x + 2y) - 2x + y? Briefly show or explain your
reasoning
Answer:
x + 7y
Step-by-step explanation:
[tex]3(x + 2y) - 2x + y \\ = 3x + 6y - 2x + y \\ = 3x - 2x + 6y + y \\ = x + 7y[/tex]
Karen took a science test where each correct answer was worth 2.5 points. She also correctly answered the bonus question worth 8 points. Her total points earned on the test was 45.5. Write and solve an equation to determine the number of questions Karen answered correctly..
Answer: 16 is your answer hope this helped
Step-by-step explanation:
pleas make brainly
Answer:
x=[tex]\frac{45.5-8}{2.5\\}[/tex]
Step-by-step explanation:
Each correct answer is 2.5 points
and the bonus was 8 points
and she has a total of 45.5 points
and if "x" was the number of questions she got correct then it's
x=[tex]\frac{45.5-8}{2.5\\}[/tex]
Hope this helps!
(and I wouldn't mind a crown ;-;)
find the measure of each interior angle of a regular polygon with the following number of sides 12
Answer:
each interior angle = 150°
Step-by-step explanation:
(N x 180°) - 360° = the sum of interior angles
where N = the number of sides
(12 x 180°) - 360° = 1800°
Since it is a regular polygon, all 12 angles are equal:
1800°/12 = 150°
HELP!! Does this graph show a function?
Answer:
Answer is C
Step-by-step explanation:
When we do the vertical line test the line intersects (cause its a circle)
This could explain better
Answer:
It is letter C No; the graph fails the vertical line test
Step-by-step explanation:
C is the answer
The total cost of 5 boxes of pasta is $13.00. Each box of pasta costs the same amount.
What is the cost, in dollars, for 1 box of pasta? (only enter a numerical answer in the box)
One box of pasta costs?
Answer:
$2.60
Step-by-step explanation:
13.00÷5=2.6
6 is in tens placement
HELP!!!! ITS IMPORTANT!!
Answer:
1) "Most certainly, do you like your math class?"
2) "Sometimes it is difficult but I just request extra help."
3) "For sure! As long as you keep trying, your efforts will pay off. It was nice talking to you."
(A-REI) Consider the following system of equations.
3x - 5y = 4
5x + y = 16
Determine the y-coordinate of the solution of the
system.
Step-by-step explanation:
8y=78/5x=20
x=2/5
5(2/5)+y=16
2+5y=5(16)
2+5y=80
5y=78
y=78/5
In the data set below, what is the median
this was the question it got deleted I just need 1,2,5
Answer:
1. The volume of the cylinder is 263 [tex]cm^{3}[/tex].
2. The volume of the cylinder is 12 [tex]m^{3}[/tex].
3. The volume of the cylinder is 3165.1 [tex]cm^{3}[/tex].
4. The radius of the cylinder is 3.6 cm.
5a. Area of the base is 50.2 [tex]cm^{2}[/tex].
5b. The curved surface area of the pencil holder is 351.7 [tex]cm^{2}[/tex].
5c. The surface are of the pencil holder is 452.2 [tex]cm^{2}[/tex].
Step-by-step explanation:
1. The given shape is a cylinder, so that;
volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
= 3.14 x [tex](3.8)^{2}[/tex] x 5.8
= 262.98128
The volume of the cylinder is 263 [tex]cm^{3}[/tex].
2. This is also a cylinder, but with a given diameter.
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{1.2}{2}[/tex] = 0.6 m
volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
= 3.14 x [tex](0.6)^{2}[/tex] x 10.6
= 11.98224
The volume of the cylinder is 12 [tex]m^{3}[/tex].
3. volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
= 3.14 x [tex]6^{2}[/tex] x 28
= 3165.12
The volume of the cylinder is 3165.1 [tex]cm^{3}[/tex].
4. volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
239 = 3.14 x [tex]r^{2}[/tex] x 6
239 = 18.84 [tex]r^{2}[/tex]
[tex]r^{2}[/tex] = [tex]\frac{239}{18.84}[/tex]
= 12.6858
r = [tex]\sqrt{12.6858}[/tex]
= 3.5617
The radius of the cylinder is 3.6 cm.
5. Area of the base = [tex]\pi[/tex][tex]r^{2}[/tex]
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{8}{2}[/tex] = 4 cm
Area of the base = 3.14 x [tex]4^{2}[/tex]
= 50.24
Area of the base is 50.2 [tex]cm^{2}[/tex].
5b. Area of the curved surface of the pencil holder = 2[tex]\pi[/tex]rh
= 2 x 3.14 x 4 x 14
= 351.68
The curved surface area of the pencil holder is 351.7 [tex]cm^{2}[/tex].
5c. Surface area of the pencil holder = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]
= 2[tex]\pi[/tex]r(h + r)
= 2 x 3.14 x 4 (14 + 4)
= 452.16
The surface are of the pencil holder is 452.2 [tex]cm^{2}[/tex].
If the measure of ACB is 50 degrees, what is the measure of that AOB
Answer:
100 degrees
Step-by-step explanation:
α=2θ
α=2(50)
α=100
If 60 ounces cost $13.00, how much does one ounce
cost?
Answer:
.27
Step-by-step explanation:
Consider g(x)
4x + 9
x6+1
Which statement correctly uses limits to determine the end behavior of g(x)?
Answer:
the 3rd option
Step-by-step explanation:
Answer:
the correct answer to this is C, have a wonderful day :)
Step-by-step explanation:
Find the value represented by a z-score of 2.403, given µ=63 and σ=4.25. Round your answer to one decimal place.
Answer:
16.5
Step-by-step explanation:
Find the value represented by a z-score of 2.403, given µ=63 and σ=4.25. Round your answer to one decimal place.
The z score formula =
z = (x-μ)/σ, where
x is the raw score = ?
μ is the population mean = 63
σ is the population standard deviation = 4.25
z = 2.403
Hence,
2.403 = (x - 63)/4.25
Cross Multiply
2.403 × 4.25 = x - 6.3
10.21275 = x - 6.3
Collect like terms
10.21275 + 6.3 = x
x = 16.51275
Approximately to 1 decimal place the value = 16.5
What degree of rotation about the origin will cause the triangle below to map onto itself?
A. 270°
B. 180°
C. 360°
D. 90°
Answer:
the right answer will be c.360
360 degree of rotation about the origin will cause the triangle below to map onto itself.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
We have to find the degree of rotation that cause the triangle below to map onto itself.
As, A figure will be mapped onto itself if it circles the graph 360 degrees.
So, there are 360 degrees in a circle, the figure has just completed a full circle and returned to where it was before rotating.
Thus, the degree of rotation is 360.
Learn more about Transformation here:
https://brainly.com/question/16941421
#SPJ5
4x+5≥9? it's not gonna let me upload the picture btw srry
Answer:
x≥1
Step-by-step explanation:
Plssss help meeeeee plssssssss lol
The length of a planet's orbit around a star is approximately 22,200,000 km.
It takes the planet about 1230 Earth days to complete a full orbit.
What is the planet's average speed in kmh-1 to 3sf?
Answer:
Speed = 7520 km/h
Step-by-step explanation:
Given the following data;
Distance = 22,200,000 km.
Time = 1230 Earth days
To find the average speed of the planet;
First of all, we would have to convert the time in Earth days to hours;
1 Earth day = 24 hours
1230 Earth day = x
Cross-multiplying, we have;
x = 1230 * 24
x = 29520 hours
Therefore, time = 29520 hours
Substituting into the formula, we have;
Speed = 22200000/29520
Speed = 7520.325 km/h
To 3 significant figures;
Speed = 7520 km/h
A factory makes candles. Each candle is in the shape of a triangular prism, as shown below. If the factory made 35 such candles, how much wax did the factory
use (in cubic centimeters)?
10 cm length
7cm height
6 cm width
The number of candles will be 42.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Number of candles =(total volumes used by the company)/(volume of one candle)
Volume of one candle =5cm x 2cm x 12cm=120cm^3
Number of candles =5040/120
N = 42 candles
Therefore, the number of candles will be 42.
To know more about an expression follow
https://brainly.com/question/24011021
#SPJ2
Dimensions of rectangular prism 5.2 in by 4.5 in by 6.0 in and weighs 1587 grams. What is the density?
Answer:
11.30 g/in^3
Step-by-step explanation:
Given data
Dimensions of a rectangular prism
5.2 in by 4.5 in by 6.0 in
Hence the volume is given as
Volume= 5.2*4.5*6.0
Volume= 140.4in^3
Weight= 1587 grams
We know that density is
Density= mass/volume
Density= 1587 / 140.4
Density= 11.30 g/in^3
At an assembly 7 out of the first 10 students who entered the gym were carrying a backpack.
Based on this information, if 700 students were at the assembly, how many students could be expected to be carrying a backpack?
Record your answer on the keypad and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer: 490
Step-by-step explanation: If 7 out of ten students have a backback you can also say 7/10. If in total there are 700 students we can multiply 7/10 or .7 woth 700 and get the answer. (7/10)(700)=490
Just help on #9 please.
I’ll give brainlylist in return!
Thank you.
Answer:
Zeroes are x = 6 and x = -4
Factored form is - ( x + 4 ) ( x - 6 )
Standard form is -x^2 + 2x +24
Step-by-step explanation:
Solve out the equation to get the standard form, then factor that equation to get the factored form. Set each factor equal to zero and solve for x to get zeroes of the function
Hopefully this helps - let me know if you have any questions!
Show that the triangles are similar in write a similarity statement (100 points!!!!)
Answer:
when you add them up then youll find your answer
Step-by-step explanation:
im just saying what my math teacher said im sorry if im wrong
Mhnaifa please help! I will mark brainliest :)
Answer:
#4Verify if sides are proportional:
XW/XV = XY/XZ
15/(15 + 20) = 27/(27 + 36)15/35 = 27/ 633/7 = 3/7∠X is common and included, the side ratios are same.
ΔXZV ~ ΔXYW by SAS
#5Verify side ratios are equal, from least to greatest:
ML/QR = 10.5/7 = 1.5LN/PR = 12/8 = 1.5MN/PQ = 18/12 = 1.5Since ratios are same, the triangles are similar by SSS
#2Ratio of corresponding sides:
(x + 2)/3 = 10/(x + 1) = 8/4
x + 2 = 6 ⇒ x = 4x + 1 = 5 ⇒ x = 4#3Ratio of corresponding sides:
18/3x = (x + 1)/15 = 9/13.5
6/x = 2/3 ⇒ x = 9(x + 1)/15 = 2/3 ⇒ x + 1 = 10 ⇒ x = 9Find the equation the line with an x-intercept at (-3, O) and y-
intercept at (0, -6).
Enter your answer in slope-intercept form, y= mx +b.
Step-by-step explanation:
So in here we can put the y-intercepts and x-intercepts together as (x, y), (x, y). (-3,0), (0,-6). And let's name them as X one, Y one and X two, Y two.
After that let's find the gradient(m) frist :
m = x-x1 / y - y1
= 0 - - 3 / -6 - 0
= 3/-6
= - 1/2
Then let's find the equation of the line :
Now we need to take one of the ys and xs we
had, (-3,0) and (0,-6). Let's take (-3,0) and the
m which is -1/2 :
y-y1 = m (x-x1)
y - 0 = -1/2 ( x - - 3)
y = -1/2 ( x +3)
y = - 1/2x - 3/2
Hope u find this helpful : )