What is the length of the triangular prism shown? 25 cm
15 cm
9 cm
25 cm
12 cm the answers are A.86 B.1008 C.1350 D.1080
Answers
To calculate surface area of an object you must calculate the area of each shape land then add them all together.
Answer:
Total Surface Area = 1008 cm^2
Step-by-step explanation:
2 X 1/2 X (12 X 9) (Surface area of the two triangles) (Area of triangle = 1/2 Base X Height)
+ 25 X 15 (Slanted Surface)
+ 25 X 9 (Back Rectangle)
+ 25 X 12 (Bottom Rectangle)
= 1008
Related Questions
If 18% of a number is 24, find 3% of that number. You must show your work in the work space.
Answers
Answer:
hello
18 % = 24
3 % = ( 3 x 24 ) / 18 = 4
Step-by-step explanation:
AB= 7 and BC= 5. Find AC.
-
A) 9
B) 12
D) 8
C) 18
Answers
Answer:
B
Step-by-step explanation:
It would help if you can actually show the points
Exercise #5: Quadrilateral EFGH has vertices at E(-6,2), F(3,8), G(7,2), and H(-2,-4).
Calculate the slopes of all four sides of EFGH. Use these slopes to prove that EFGH is a rectangle.
Answers
Answer:
The slope of both EF and GH are 2/3
The slope of both FG and EH are -3/2
You can see that these slopes are perpendicular, forming a rectangle
Step-by-step explanation:
To find slope use the slope formula: y1 - y2 / x1 - x2
so first:
8 - 2 / 3 - (-6) = 2/3
(-4) - 2 / (-2) - 7 = 2/3
Then:
8 - 2 / 3 - 7 = -3/2
2 - (-4) / (-6) - (-2) = -3/2
Our school’s girls volleyball team has 14 players, including a set of
3 triplets: Alicia, Amanda, and Anna. In how many ways can we
choose 6 starters if at most one of the triplets is in the starting lineup? There can't be 2 or more triplets and there can be none.
Answers
Answer:
[tex]1,\!848[/tex].
Step-by-step explanation:
There are two disjoint sets of ways to choose a lineup as required:
Include none of Alicia, Amanda, or Anna, orInclude exactly one of Alicia, Amanda, and Anna.Assume that none of Alicia, Amanda, or Anna is to be selected. This lineup of [tex]6[/tex] would then need to be selected from a set of [tex]14 - 3 = 11[/tex] players (which excludes Alicia, Amanda, and Anna.)
The number of ways of selecting (without order) [tex]6[/tex] items out of a set of [tex]11[/tex] (distinct) items is equal to the combination:
[tex]\begin{aligned}\begin{pmatrix}11 \\ 6\end{pmatrix} &= \frac{11!}{(6!)\, (11 - 6)!} \\ &= \frac{11!}{6! \times 5!}\end{aligned}[/tex].
Assume that Alicia is selected, but neither Amanda nor Anna is selected. The other [tex]6 - 1 = 5[/tex] players in this lineup would then need to be selected from a set of [tex]14 - 1 - 2 = 11[/tex] players. (This set of [tex]11[/tex] excludes Alicia, Amanda, and Anna.)
The number of ways to select [tex]5[/tex] items from a set of [tex]11[/tex] items is:
[tex]\begin{aligned}\begin{pmatrix}11 \\ 5\end{pmatrix} &= \frac{11!}{(5!)\, (11 - 5)!} \\ &= \frac{11!}{5! \times 6!} \\ &= \frac{11!}{6! \times 5!}\end{aligned}[/tex].
Similarly, there would be another set of [tex](11!) / (6! \times 5!)[/tex] distinct ways to select the lineup if Amanda is selected, but neither Alicia nor Anna is.
Likewise, the number of ways to select the lineup with Anna but neither Amanda nor Alicia would also be [tex](11!) / (6! \times 5!)[/tex].
These sets of configurations for the lineup are pairwise disjoint from one another. Thus, the total number of ways to select this lineup would be:
[tex]\begin{aligned}& \begin{pmatrix}11 \\ 6 \end{pmatrix} + 3 \times \begin{pmatrix}11 \\ 5 \end{pmatrix} \\ =\; & \frac{11!}{6! \times 5!} + 3 \times \frac{11!}{6! \times 5!} \\ =\; & \frac{4 \times 11!}{6! \times 5!} \\ =\; & \frac{4 \times 11 \times 10 \times 9 \times 8 \times 7}{5 \times 4 \times 3 \times 2} \\ =\; & \frac{11 \times 10 \times 9 \times 8 \times 7}{5 \times 3 \times 2} \\ =\; & 1,\!848\end{aligned}[/tex].
wait hihfedhsdkfsffsdf
Answers
Translate this phrase into an algebraic expression. 73 less than twice Jose's height Use the variable to represent Jose's height.
Answers
Answer:
x-73
Step-by-step explanation:
Let x=Jose's height. If it says "less than," then that is subtraction. Since Jose's height is not defined, there is no specific number that can be used to describe "73 less than twice Jose's height," so I use the variable x, and then subtract 73.
A shelf at a grocery store contains 500 packages of corn and flour tortillas. If 22% of the packages are flour tortillas, how many of the packages are corn tortillas?
Answers
Answer:390
Step-by-step explanation:
500*.22=110
500-110=390
390
Answer:
390
Step-by-step explanation:
22% of 500 is 110 so that would make the answer 390 i think
if g = 6x-9 and x = 15 what is g
Answers
Answer:
g= 81
Step-by-step explanation:
Replace X with 15
g = 6x -9
g = 6(15) - 9
g = 90 - 9
g = 81
Step-by-step explanation:
g=6x-9
putting the value of x
g=6×15-9
g=81
Please help cannot figure out how to get the answers
Answers
Answer:
Step-by-step explanation:
Write the equation in standard form for the circle with center (0, -3) passing through (15/2 , 1)
Answers
Check the picture below, so the green line is really the radius of the circle, and we know its center.
[tex]~~~~~~~~~~~~\textit{distance between 2 points}\\\\(\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad(\stackrel{x_2}{\frac{15}{2}}~,~\stackrel{y_2}{1})\qquad \qquadd = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}\\\\\\\stackrel{radius}{r}=\sqrt{[\frac{15}{2} - 0]^2 + [1 - (-3)]^2}\implies r=\sqrt{\left( \frac{15}{2} \right)^2 + (1+3)^2}\\\\\\r=\sqrt{\left( \frac{15}{2} \right)^2 +4^2}\implies r=\sqrt{\frac{225}{4} + 16}\implies r=\sqrt{\cfrac{289}{4}}\implies r=\cfrac{17}{2}\\\\[-0.35em]\rule{34em}{0.25pt}[/tex]
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{0}{ h},\stackrel{-3}{ k})\qquad \qquad radius=\stackrel{\frac{17}{2}}{ r} \\\\\\\ [x-0]^2~~ + ~~[y-(-3)]^2~~ = ~~\left( \cfrac{17}{2} \right)^2\implies x^2+(y+3)^2 = \cfrac{289}{4}[/tex]
How many students were in the sample?
Math Test Scores
5 0 4
6 5 7 8
7 5 8
8 2 4 5 5 5 6 7 8 9
9 0 0 0 0 4 6 7 9
5 0 = 50
29
5
24
Answers
Please help
Suppose Troy conducted a statistical study by asking 12 math teachers the following question:
"How many students are in your first period dass this year?"
Explain why this is or is not a statistical question.
Answers
The question asked by Troy is a statistical question because there would be variability in the answers he get fro the 12 maths teachers.
What is a statistical question?A statisical question is a question that can only be answered through the collection of data. Thhere would be variablility in the results gotten from the data.
A non- statistical question is a question that has only one answer. For example, how old are you? is a non-statistical question.
To learn more about a statisitcal question, please check: https://brainly.com/question/21508412
Figure ABCD is a parallelogram.
Parallelogram A B C D is shown. A diagonal is drawn from point A to point C.
Which sequence could be used to prove that AD = BC?
First prove TriangleABC is congruent to TriangleCDA, and then state AD and BC are corresponding sides of the triangles.
First prove TriangleABC is similar to TriangleCDA, and then state AD and BC are opposite sides of the parallelograms.
First prove ParallelogramABCD is congruent to ParallelogramCDAB, and then state AD and BC are corresponding sides of two parallelograms.
First prove ParallelogramABCD is similar to ParallelogramCDAB, and then state AD and BC are opposite sides of the parallelograms.
Answers
Answer:
A
First prove Triangle ABC is congruent to Triangle CDA, and then state AD and BC are corresponding sides of the triangles.
Hope this helps!
Please Mark Brainleast!!!
The sequence to prove that AD = BC is; First prove ABC is similar to CDA, and then state AD and BC are opposite sides of the parallelograms.
How to prove Quadrilateral Theorems?From the question, we see that the parallelogram ABCD has a diagonal AC. Thus; AB║ CD and AD║BC.
Now, the parallelogram is divided into two triangles ΔABC and ΔADC by its diagonal AC.
Thus;
∠ACB = ∠DAC and ∠CAB = ∠ACD because they are alternate interior angles.
Also, AC = AC (Reflexive property)
Thus; by ASA congruence postulate, we can say that; ΔABC ≅ ΔADC
Also, by corresponding sides of the congruent triangles are congruent we can say that AD = BC.
Read more baout Quadrilateral proofs at; https://brainly.com/question/2698923
All of the quadrilaterals in the shape below are squares. Find the area of the shaded region
Answers
To find area of square one :-
Given :
side = 9 (unit)To find :
Area of squareWe know :
Area of square = side²
Therefore:-
→Area of square = 9²
→Area of square = 9 × 9
→Area of square = 81 (unit)²
To find area of square two :-
Given :
side = 11 (unit)To find :
Area of squareWe know :
Area of square = side²
Therefore:-
→Area of square = 11²
→Area of square = 11 × 11
→Area of square = 121 (unit)²
Now it's clearly visible that the whole figure is also. a square .
Therefore AE = CP
Which means area of square three = 81 (unit)²
Now area of shaded figure :-
Area of square one + Area of square two + Area of square three81 + 81 + 121283 (unit)²Zack went on 6 hikes. The hikes were:
7 miles - 6 miles - 5 miles - 4 miles - 4 miles - 6 miles
What was the range of the lengths of Zack's hikes?
Answers
Answer:
3 miles
Step-by-step explanation:
Range is the biggest number minus the smallest number.
First put the distance in order from least to greatest.
4 miles, 4 miles, 5 miles, 6 miles, 6 miles, 7 miles.
Now subtract the greatest and least amounts.
7 - 4 = 3
An archer releases an arrow with an initial velocity of 20 feet per second at a height of 12 feet. The path the arrow takes can be modeled using the function f(x)=−16x^2+20x+12, where f(x) represents the height, in feet, of the arrow and x represents the time the arrow travels in seconds. What is the maximum height, in feet, reached by the arrow? Round your answer to the nearest hundredth if necessary. Do not include units in your answer.
Answers
Answer:
18.25 feetStep-by-step explanation:
The given function is quadratic.
The maximum of the quadratic function is its vertex.
The x-coordinate is determined by x = - b/(2a)
x = - 20/(-16*2) = 5/8Apply the x-value and find the value of f:
f(x) = - 16(5/8)² + 20(5/8) + 12 = 18.25 feetAnswer:
18.25
Step-by-step explanation:
we are given a quadratic function
[tex] f(x) = - 16 {x}^{2} + 20x + 12[/tex]
where:
f(x) represents the heightx represents the timeTo find the maximum value of f(x) in other words, the maximum height, in feet, reached by the arrow.
Differentiate both sides:
[tex] f'(x) = \dfrac{d}{dx}( - 16 {x}^{2} + 20x + 12)[/tex]
with sum differentiation rule, we acquire:
[tex] \displaystyle f'(x) = \frac{d}{dx}( - 16 {x}^{2} )+ \frac{d}{dx} 20x + \frac{d}{dx} 12[/tex]
recall that,
differentiation of a constant is equal to 0[tex] \dfrac{d}{dx} {x}^{n} = n {x}^{n - 1} [/tex]utilizing the rules we acquire:
[tex] \displaystyle f'(x) = - 32 {x}^{} + 20 [/tex]
now equate f'(x) to 0:
[tex] \displaystyle - 32 {x}^{} + 20 = 0[/tex]
solving the equation for x yields:
[tex]x _{max}= \dfrac{5}{8} [/tex]
plug in the maximum value of x into the quadratic function:
[tex]f(x )_{max}= - 16 {( \frac{5}{8} )}^{2} + 20( \frac{5}{8} ) + 12[/tex]
simplify:
[tex]f(x )_{max} = 18.25[/tex]
hence,
The maximum height reached by the arrow is 18.25 feet
Marco has two number cubes. The faces of each number cube are numbered from 1 to 6. Marco rolled the number cubes and recorded the number showing on the top face of each number cube. The results are shown in the table.
4, 2 5, 2 3, 1 3, 4 2, 6
1, 1 4, 2 2, 3 3, 3 5, 1
1, 5 5, 2 1, 5 1, 2 1, 5
2, 4 4, 2 2, 4 5, 3 2, 4
Based on these results, what is the experimental probability that the next time the number cubes are rolled, they will land with a 2 showing on the top face of one number cube and a 4 showing on the top face of the other number cube?
A.
3
10
B.
9
20
C.
11
20
D.
1
36
Answers
Using it's concept, it is found that the probability that the next trial will result in a 2 and 4 is given by:
A. [tex]\frac{3}{10}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In an experimental probability, the number of outcomes are taken from previous trials.
In this problem, the table states that of 20 trials, 6 resulted in either (2,4) or (4,2), hence the probability is given by:
p = 6/20 = 3/10.
Which means that option A is correct.
More can be learned about probabilities at https://brainly.com/question/14398287
Which number does NOT round to 880?
893
883
882
878
Answers
Answer:
893
Step-by-step explanation:
893 is too far away to round to 880. It would actually round to 890.
The last digits of 883 and 882 are small enough to round to 880.
The last digit of 878 is large enough to round to 880.
Answer:
893
Step-by-step explanation:
We round down if the digit is less than 5
We round up if the digit is 5 or more
Rounding to the nearest 10:
893 → 890 (round down as 3 is less than 5)
883 → 880 (round down as 3 is less than 5)
882 → 880 (round down as 2 is less than 5)
878 → 880 (round up as 8 is more than 5)
So the only number that does NOT round to 880 is 893.
Can someone please help me with this!! The equation y=4x+2 represents Function G. Which statement is true?
Answers
QUESTION :> WHATS STATEMENT IS TRUE ?
ANSWER :> A. OR THE RATE OF FUNCTION G IS GREATER THAN THE RATE OF FUNCTION F BECAUSE
2 > (9 — 7).
HOPE IT HELPS
#CARY ON LEARNINGHelp picture below problem 10
Answers
Answer:
180-52=128
Do mark BRAINLIEST
if you spin the spinner 42 times what is the best prediction possible for the number of times it would land on yellow or pink
Answers
Answer:
21
Step-by-step explanation:
There is an equal chance of 21 per each choice. So there is an equal amount of chance to land on both yellow or pink.
It takes 7 hours and 12 minutes to fly
from Singapore to Tokyo, Japan. You have
to arrive at the airport 45 minutes before
departure. It is a 17 minute taxi ride from
your hotel. By what time would you need
to leave the hotel if the flight lands
at 3:23 p.m.?
Answers
The time I would need to leave the hotel if the flight lands at 3:23 p.m is 7 : 09 am
What time should I leave the hotel?The first step is to add the total hours of the flight to the time of the tax ride and the time you need to get to the airport.
7h + 12 min + 45 + 17 = 8 hours 14 minutes
Now subtact 8 hours 14 minutes form 3: 23
(12 + 3:23) - 8 hours 14 minutes =7 : 09 am
To learn more about how to calculate time, please check: https://brainly.com/question/26290873
One-fourth of the sum of a number and 10 is 2 less
than twice the number?
Answers
Answer:
The number is 2
Step-by-step explanation:
The equation is: 1/4 (x + 10) = 2x - 1
1/4x + 2.5 = 2x - 1
Multiply everything by 4 to get rid of the fraction
x + 10 = 8x - 4
Subtract x from both sides
10 = 7x - 4
Add 4 to both sides
14 = 7x
Divide both sides by 7
x = 2
Help with this answer
Answers
Answer:
down syndrome
Step-by-step explanation:
Jeremiah has a mailing cylinder for posters that measures 12 inches long and 8 inches in diameter. What approximate volume can it hold? Use 3.14 for pi. Do not round. SHOW YOUR WORK.
Answers
Answer:
The cylinder can hold 508.68 in³
Explanation:
The volume of a cylinder can be calculated using the following rule:
Volume of cylinder = πr²h cubic units
where r is the radius of the cylinder and h is its height
Now, we are given that:
height of cylinder = 18 in
diameter of cylinder = 6 in which means that the radius of the cylinder is 3 in
π is 3.14
Substitute with the givens in the above equation to get the volume of the cylinder as follows:
Volume of cylinder = πr²h
Volume of cylinder = 3.14 * (3)² * 18
Volume of cylinder = 508.68 in³
Find the value of X. Round your answer to the nearest tenth please
Answers
The value of x from the figure is 17.82 units
SOH CAH TOA identity1) From the first figure.
Opposite side = x
Adjacent = 12
Using the SOH CAH TOA identity
tan53 = opp/adj
tan53 = x/12
x = 12tan53
x = 15.92 units
2) Using the SOH CAH TOA identity
cos27 = adj/hyp
cos27 = x/20
x = 20cos27
x = 17.82units
Hence the value of x from the figure is 17.82 units
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
please answer the following mcqs with proper explanation
Answers
Answer:
(iv) b
(v) c
(vi) d
Step-by-step explanation:
The first two questions have to with understanding the meaning of the English words. (It's reading comprehension.)
__
(iv) "no larger than 10" means "less than or equal to 10"
(b) x ≤ 10
__
(v) "at most 1600" means "less than or equal to 1600"
(c) c ≤ 1600
__
(vi) A value of x will be a solution to the inequality if substituting it into the inequality results in a true statement. Here, using x=0 effectively eliminates the x-term from the inequality.
(a) 0 > 0 . . . false
(b) 5 < 0 . . . false
(c) 2 < 0 . . . false
(d) -2 < 0 . . . true
Sam watched 10 cars drive past
him. 6 of those cars were white.
Write a fraction to describe the
fraction of white cars.
Answers
Answer:
3/5
Step-by-step explanation:
6 white cars out of 10 cars would be written as 6/10.
You then would simplify this fraction to 3/5.
So your answer is 6/10 or 3/5.
Cassie wants to buy carpet to cover her whole living room, except for the tiled floor. The tiled floor is 4
5
6
ft by 2
1
3
ft. Find the area the carpet needs to cover.
Answers
Answer:
1456
Step-by-step explanation:
56x2x13
56x26
1456
What is the volume of this right prism?
96 in³
60 in³
48 in³
44 in³
Answers
Answer:
96 in³
Step-by-step explanation:
Volume = 2(BHD) / 2
The 2s cancel out
Volume = 3(8)4
Volume = 96