![Find The Lateral Area Of The Prism.4cm3cm 6cm5cmLateral Area = [?]cm2](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/hTSDMJkIyuRXMrINN5oeVv2YndHeQDHa.png)
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Answer:
The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.
Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.
We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.
We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.
Solving for "h", we get h = LSA / (s1+s2+s3)
For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20
Related Questions
I need help solve this !! Pls help pls not links ;)
Answers
Answer:
A / D / E
Step-by-step explanation:
f (1) = 1
f(2) = 5
f(3) = 9
Rectangle QRST is dilated with the origin as the center of dilation to create rectangle Q'R'S'T'.
Which rule represents the dial toon applied to rectangle QRST to create triangle QRST
Answers
Answer:
Rule: dilation about the origin by a scale factor of 2
Step-by-step explanation:
Given
See attachment for QRST and Q'R'S'T
Required
The dilation rule
First, we calculate the scale factor (k)
From the attachment, we have:
[tex]QR = 4[/tex]
[tex]Q'R' = 8[/tex]
k, is then calculated as:
[tex]k = \frac{Q'R'}{QR}[/tex]
[tex]k = \frac{8}{4}[/tex]
[tex]k =2[/tex]
Hence, QRST is dilated by a factor of 2
In a classroom of 24 students, five-eighths of the students brought their lunch to school. How many of the students in the classroom does this represent?
(Explain how you got your answer please)
(1) 3
(2) 5
(3) 10
(4) 15
(5) 20
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Answer:In my opinion 10 is the answer
hope it helps you
What’s the correct answer for this?
Answers
Answer:
Step-by-step explanation: A
Answer:
A = 2
B= 2
C= -6
Step-by-step explanation:
1. 2x³ - 8x² -24x -Factor
2. 2x (x² - 4x - 12) - Factor
3. 2x (x - 6) (x + 2)
ax (x + b) (x + c)
5/10+13/100
what is the value of the expression
Answers
Answer:
63/100
Step-by-step explanation:
The function f (t) = 12(1 +0.03) can be used to determine the population, in thousands of a town t years
since 1955. According to the function, what was the population of the town in 1955 and what was the percent
increase in population from year to year?
Enter a number in each box to correctly complete the sentence
The population of the town in 1955 was
people, and the percent increase in
population from year to year was
Answers
f= the original amount of people, a steady growth throughout the years
t=time
In 1955 the population was 12 thousand. Compared to the current population of 12.36 thousand, the population then was roughly 77%.
A function assigns the values. The population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function that gives the population of the town is given, therefore, the following can be written,
Since the year 1955 the value of t=0. Therefore, The population of the town in 1955 was 12 thousand.
The percentage increase in population from year to year is 3%.
Hence, The population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.
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Help me !!!
Please I really need it
Answers
Answer:
i don't know
Step-by-step explanation:
Fine the volume please
Answers
Answer:
212 m²
Step-by-step explanation:
4 x 4 x 5 = 80
6+6+50+30+40
Whatever answer this question first gets a thanks and 14 points Please answer quickly ✌
Answers
Answer:
5) x = 25
6) x = 48
Step-by-step explanation:
5)
65 + x = 90
65 - 65 + x = 90 - 65
x = 25
--------------------------------------
6)
A complementary angle is 90 degrees.
42 + x = 90
42 - 42 + x = 90 - 42
x = 48
Which graphs are proportional?
A.
B.
C.
D.
Answers
Answer: Hello, There! your Answer is Below
C And D Are your Answer
Step-by-step explanation:
Hope this Helps you !!!
Have a great day!!!
Two dice are tossed. Find the probability of getting the sum of the
dice equal to 16. (Hint: Draw a tree diagram of the possibilities of
two tosses of a die, and then find the sum of the numbers on
each branch.)
Answers
Answer:
Step-by-step explanation:
If you are talking about a die with 6 faces, then 16 isn't possible. 12 is the highest possible number.
If you are talking about some other kind of die, you have to specify it.
I'm going to assume you made a mistake and meant 6.
There are 5 ways to get six
3 - 3
4 - 2
2 - 4
5 - 1
1 - 5
There are 36 ways of throwing 2 dice.
So the probability = 5/36 = 0.1389
If you really did mean 16 then the probability = 0
Find m∠D
m∠D=
greatly appreciate if done asap:)
Answers
i really can't figure this out
A slope
B x-intercept
C y-intercept
D none of the above
Answers
Answer:
A, slope
I am pretty sure it is the slope
Answer:
I think the answer is B (x-intercept)
Step-by-step explanation:
Have a nice day :)
Pencils 6 18 Erasers 2 will mark brainlest
Answers
Answer:
this is your answer as it lies in a same ratio..
Help help help help help
Answers
please answer fast!!
Answers
Answer:
x=70
Step-by-step explanation:
[tex]2x + 1 = 141 \\ 2x = 140 \\ x = 70[/tex]
Answer:
x=70
Step-by-step explanation:
I hope i was right have a good day!!
Fill in the table using this function rule y=-10x+2
Answers
Step-by-step explanation:
If X=-1, then we have to multiply by -10 and then add 2. It would be 8.
If X=0, we multiply it by -10, (still 0) and then add 2 so it would be 2.
If X=1, 1*-10=-10 and then -10+2=-8
If X=5, 5*-10=-50, -50+2=-48.
Hope this helps!
Can someone pls help me?
Answers
Answer:
26
Step-by-step explanation:
a complementary angle measures 90 degrees. minus the 64 would be 26
A bag contains 3 red balls and 1 blue ball. A second bag contains 1 red ball and 1 blue ball. A ball is randomly picked from each bag and is then placed in the other bag. What is the expected number of red balls in the first bag? (mean or expected value)
Answers
Answer:
"2.82" seems to be the correct solution.
Step-by-step explanation:
As we know,
A bag (Bag A) contains,
Red balls = 3
Blue ball = 1
A second bag (Bag B) contains,
Red balls = 1
Blue ball = 1
Now,
⇒ P(Bag A, red ball) = [tex]P(A)\times P(r)\times P(r)[/tex]
On substituting the values, we get
⇒ = [tex]\frac{1}{2}\times \frac{3}{4}\times \frac{2}{3}[/tex]
⇒ = [tex]\frac{1}{4}[/tex]
Similarly,
Probability of second bag will be:
⇒ P(Bag B) = [tex]\frac{1}{2}[/tex]
hence,
In the first bag (Bag A), the expected number of red balls will be:
⇒ [tex]E(n)=\Sigma P(n)\times n[/tex]
On substituting the values, we get
⇒ [tex]=3 (\frac{1}{4})+2(\frac{1}{8} )+4(\frac{1}{24} )+3(\frac{1}{12} )+3(\frac{4}{20} )+4(\frac{1}{20} )+2(\frac{3}{20} )+\frac{2}{20}[/tex]
⇒ [tex]= \frac{169}{60}[/tex]
⇒ [tex]=2.82[/tex]
A boat heads in the direction N 78° E. The speed of the boat relative to the water is 21 mi/h. The water is flowing directly south. It
is observed that the true direction of the boat is directly east. (Assume that the i vector points east, and the j vector points north.)
(a) Express the velocity of the boat relative to the water as a vector in component form. (Round your answer to one decimal
place.)
(20.5, 4.4)
Answers
Answer:
it is the vector
Step-by-step explanation:
I will give Brainiest
Answers
Please help please please ASAP please please help please
Answers
Answer:
true
Step-by-step explanation:
the total surface area of a solid is the sum of all faces both the bottom (base) and the top
Education reform is one of the most hotly debated subjects on both state and national policymakers’ list of socioeconomic topics. Consider a linear regression model that relates school expenditures and family background to student performance in Massachusetts using 224 school districts. The response variable is the mean score on the MCAS (Massachusetts Comprehensive Assessment System) exam given to 10th graders. Four predictor variables are used: (1) STR is the student-to-teacher ratio in %, (2) TSAL is the average teacher’s salary in $1,000s, (3) INC is the median household income in $1,000s, and (4) SGL is the percentage of single-parent households. A portion of the data is shown in the accompanying table.
Score STR(%) TSAL(in $1000) INC(in $1000) SGL(%)
227.0 19.00 44.01 48.89 4.70
230.67 17.90 40.17 43.91 4.60
. . . . .
. . . . .
230.67 19.20 44.79 47.64 5.10
Required:
a. For each explanatory variable, discuss whether it is likely to have a positive or negative causal effect on Score.
b. Find the sample regression equation. Are the signs of the slope coefficients as expected?
c. What is the predicted score if STR = 18, TSAL = 50, INC = 60, SGL = 5?
d. What is the predicted score if everything else is the same as in part(c) except INC = 80?
Answers
Answer:
A:
STR= -
TSAL= +
INC=+
SGL=-
B:
231.89 - .50 - .02 + .29 -.88
B2:
STR=Y
TSAL=N
INC=Y
SGL=Y
C:
234.89
D:
240.69
Step-by-step explanation:
5. Simplify
(7x2+ 8) - (x2 - 2)
Answers
Answer:
[tex](7 \times 2 + 8) - ( {x}^{2} - 2) \\ (14 + 8) - ( {x}^{2} - 2) \\ 14 + 8 - {x}^{2} + 2 \\ 22 + {x}^{2} + 2 \\ 24 + {x}^{2} [/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
The origin is a point anywhere along the x-axis. True or False
Answers
Answer:
False
Step-by-step explanation:
The origin is at 0 on the x-axis, and 0 on the y-axis. Hence, (0,0) lies on both the axis.
hope this helps and is right. p.s. i really need brainliest :)
if my answer is wrong then i am incredibly sorry!
The statement "The origin is a point anywhere along the x-axis" is False.
What is Origin?Origin is referred to as the first point or the starting point from which we begin our calculations or measurements in mathematics, particularly in the subject of coordinate geometry. The 0 on a ruler is the point at which we begin taking measurements; as a result, it is referred regarded as the scale's origin.
As, The intersection of the x and y axes in a coordinate plane is where the origin is located.
Coordinates can be used to name any point on the coordinate plane.
The coordinates are where the origin is ( 0, 0 ).
So, the x- coordinate is 0 and y- coordinates is 0.
Hence, the given statement is False.
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Assume that y varies inversely as x. If, y, is 2.4 when x = 5, which is an equation that relates x and y?
Answers
Inverse means 1/variable
y=k•1/x
y=k/x
k=y•x
x=5
y=2.4
k=2.4 • 5
k=12
Answer is:
y=12/x
Good luck.
JUST THE SECOND ONE EASY PLS ASAP
Answers
Answer:
51
Step-by-step explanation:
Use an online calculator
Triangle ABC is equilateral. What is the value of X?
Answers
Answer step-by-step
If triangle ABC is equilateral then the value of x is 3.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
ABC is an equilateral triangle.
AD is the perpendicular bisector of CB
As AC=8 units.
The other sides of triangle will be also 8 units.
D will be the midpoint of CB.
CD=4 units and DB is 4 units.
Let us consider triangle ACD
AC²=CD²+AD²
8²=4²+x²
64=16+x²
Substitute 16 from both sides.
64-16=x²
48=x²
Take square root on both sides.
x=√48
=√16×3
=4√3
Hence, if triangle ABC is equilateral then the value of x is 3.
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Trend lines
The scatterplot below shows several data
points and an approximate trend line for
the data.
у
350
300
250
200
150
100
SO
D 200 400 600
1.
Which is the best estimate of the value
of x that corresponds to the y value of
325? (8.18, 8.1C, 8.1E, 8.1F)
A 175
B 700
C 625
D 125
Answers
what factors determine the amount of interest earned on a fixed principal
Answers
Answer:
The interest rate and the number of compounding periods best describe the factors that determine the amount of interest because they encompass the ideas of time and yield.
Step-by-step explanation:
Hope this helps!!!