Answers
Answer:
[tex]\Large \boxed{\sf 384 \ m^2}[/tex]
Step-by-step explanation:
Surface area ⇒ area of 2 triangles + area of 3 rectangles
[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]
Answer:
Surface Area = 384 m²
Step-by-step explanation:
The given figure is a triangular prism.
The surface area of a triangular prism is made up of:
2 congruent triangles (the bases of the prism).3 rectangles.From inspection of the diagram, the dimensions of the triangular bases are:
Base = 8 mHeight = 3 m[tex]\boxed{\begin{aligned}\textsf{Area of a triangle}&=\dfrac{1}{2} \times \sf base \times height\\\\\implies \textsf{Area of triangular base}&=\dfrac{1}{2} \times 8 \times 3\\&=4 \times 3\\&=12\; \sf m^2 \end{aligned}}[/tex]
From inspection of the diagram, there are two congruent rectangles with dimensions:
Length = 20 mWidth = 5 mand one rectangle with dimensions:
Length = 20 mWidth = 8 m[tex]\boxed{\begin{aligned}\textsf{Area of a rectangle}&=\sf width \times length\\\\\implies \textsf{Area of rectangle 1}&=5 \times 20\\&=100\; \sf m^2 \\\\\implies \textsf{Area of rectangle 2}&=8 \times 20\\&=160\; \sf m^2\end{aligned}}[/tex]
Therefore, the total surface area of the given triangular prism is:
[tex]\begin{aligned}\textsf{Total Surface Area}&=\sf 2\;Triangles + 2\;Rectangle\;1+Rectangle\;2\\& = 2 \times 12+ 2 \times100+160\\& = 24+200+160\\& = 224+160\\& = 384\; \sf m^2\\\end{aligned}[/tex]
Related Questions
Pat is walking to a restaurant 6 blocks away. Pat has walked 2 blocks in 7 minutes. How many more minutes to reach the restaurant?
Answers
Answer:
14 minutes
Step-by-step explanation:
6÷2=3
3×7-7=21
NEED HELP MY GRADE DEPENDS ON THIS!!!
Given that the lines are parallel, SHOW WORK to solve for x.
Answers
2x = 8
x = 4
pls help me I'm stuck on this one too
Answers
explanation: we know that the perimeter is 29cm and one of the sides is 7cm so you subtract 7 from 29 to get 22 and since both of the other sides are equal you would divide it by 2. 22/2=11
Answer:
the answer is 11
I hope it helps
have a nice day
#Captainpower
11. Together, Andy and Ben can re-roof a certain house in six days. When Ben works alone, it takes him 9 days longer than when Andy works by himself. How long does it take each person to re-roof the same house independently?
Answers
MAIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
MAIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
MAIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
MAIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
MAIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
MAIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
MAIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
MAIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
MAIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
MAIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
MAIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
Courtney got 64 out of 75 correct on a test. What is the best estimate of the
percent Courtney got correct?
A 64%
B 75%
C 85%
D 117%
Answers
64
—- x 100% = 85.3333333333
75
Which systems of equations have the same solutions?
L (3x+y = 8
1x - 4y = -6
m{$*=*=230
NS 4x – 3y = 2
12% -8y = -12
Answers
Answer:
B. L and N
Step-by-step explanation:
Let's solve each system
✔️System L:
3x + y = 8 => Eqn. 1
x - 4y = -6 => Eqn. 2
x = -6 + 4y
Substitute x = (-6 + 4y) in eqn. 1
3(-6 + 4y) + y = 8
-18 + 12y + y = 8
-18 + 13y = 8
13y = 8 + 18
13y = 26
y = 26/13
y = 2
Substitute y = 2 into Eqn. 2
x - 4y = -6
x - 4(2) = -6
x - 8 = -6
x = -6 + 8
x = 2
Solution to system L = (2, 2)
✔️System M:
4x - 3y = 2 => Eqn. 1
5x - 4y = -30 => Eqn. 2
Multiply eqn 1 by 5, and eqn. 2 by 4
20x - 15y = 10
20x - 16y = -120
Subtract
y = 130
Substitute y = 130 into eqn. 1
4x - 3(130) = 2
4x - 390 = 2
4x = 2 + 390
4x = 392
x = 392/4 = 98
Solution to system M = (98, 130)
✔️System N:
4x - 3y = 2 =>Eqn. 1
2x - 8y = -12 => Eqn. 2
Multiply Eqn. 1 by 2, and eqn. 2 by 4
8x - 6y = 4
8x - 32y = -48
Subtract
26y = 52
y = 52/26
y = 2
Substitute y = 2 into eqn. 1
4x - 3(2) = 2
4x - 6 = 2
4x = 2 + 6
4x = 8
x = 8/4
x = 2
Solution to system N = (2, 2)
HELP ME
The circumference of the base of a cylinder is 20 inches. The height of the cylinder is 5 inches. Find V.
Answers
Answer:
20 happy to helPNMNJHUJN
Step-by-step explanation:
HELLLLP WILL GIVE BRAINLIEST.
Answers
Answer:
day 1 I think
Step-by-step explanation:
jjdjdjjdjdjdnndnsnsnxjxjjdk
Answer:
Day 1 :)
Step-by-step explanation:
Can someone help me solve this I don’t understand
-2y + 10 + 2y – 8
Answers
Answer:
2
Step-by-step explanation:
=−2y+10+2y+−8
=(−2y+2y)+(10+−8)
=2
find the value of x
x<-1 and x>1
Answers
Answer:2
Step-by-step explanation: pretty simple, trust me :)
In a poll, 417 students voted. Nominee D received 2/3 of the votes. How many did nominee D receive?
Answers
= 278
Answer:
278 votes
Step-by-step explanation:
[tex]2/3 * 417 = 278[/tex]
Can I get some help on these two
Answers
9514 1404 393
Answer:
cone: 138.16 in²
pyramid: 352 m²
Step-by-step explanation:
Use the appropriate formula from your list of area and volume formulas.
Area of a Cone
A = πr(r +h) . . . . . where r is the radius and h is the slant height
The radius is half the diameter, so is 4 inches.
A = π(4 in)(4 in + 7 in) = 44π in² ≈ 138.16 in²
__
Lateral Area of a Square Pyramid
A = 2sh . . . . . where s is the side length of the base and h is the slant height
A = 2(8 m)(22 m) = 352 m²
Find an equation for the slant asymptote of y=
- 323 – 622 + 6x + 3
9x2 8
Submit Question
Answers
Answer:
Step-by-step explanation:
Slant asymptote is y = - [tex]\frac{1}{3}[/tex] x - [tex]\frac{2}{3}[/tex]
20.) Which inequality represents the solution on the graph?*

Answers
Answer:
Option 2
Step-by-step explanation:
You can see that the graph of the inequality is x <= -3, so you want to find why inequality matches that. Solve each one:
1
.[tex]3x \geq -9\\x \geq -3[/tex]
doesn't match
2.
[tex]-7x\geq 21\\x\leq -3[/tex]
Does match, so this is the answer.
Algebra find the value of x in each figure .
Answers
Answer:
Step-by-step explanation:
the answer is c because that is what i get
Answer:
x= 23°
Step-by-step explanation:
65+ x + 2 = 90° ( right angle)
67 + x = 90
x= 90-67
x= 23°
Lucy bought a couch that cost $1,000.00. she bought it using her debit card. She forgot she only has $900 in her checking account. What should lucy be worried about? 1) how much tax is included 2) discounts 3) nothing 4) overdraft fees
Answers
Answer:
4) overdraft fees
Step-by-step explanation:
if she now has a negative balance then she owes money to the couch store
Answer:
Overdraft fees
Step-by-step explanation:
An overdraft occurs when money is withdrawn in excess of what is on the current account. In this situation the account is said to be "overdrawn".
6/11x7/8 I don’t get this either
Answers
Answer:
I suggest turning them both into decimals and then multiplying them and turning it back into a decimal
Step-by-step explanation:
Plz help ASAP 20 points 5. In circle A, the length of arc BC is 20π units.
What is the length of the radius of circle A?
A. 24 units
B. 48π units
C. 10 units
D. 4v3 units
Answers
Answer: i think the answer is B or C sorry
Step-by-step explanation:
have a nice day
The length of the radius of circle A is 24 units. The correct answer would be an option (A).
What is an arc?The arc is a portion of the circumference of a circle. The circumference of a circle is the distance or perimeter around a circle.
As per the question, we have
Arc length BC = 20π units and θ = 150°
The formula for calculating the arc states that:
Arc length = 2πr (θ/360)
Where r = the radius of the circle,
π = pi = 3.14
θ = the angle (in degrees) subtended by an arc at the center of the circle.
Substitute the known values, and we get
20π = 2πr (150/360)
10 = r (5/12)
r = 120/5
r = 24
Thus, the length of the radius of circle A is 24 units.
Learn more about the arc of the circle here:
brainly.com/question/1577784
#SPJ6
IPLEASE HELP I DONT UNDERSTAND
Answers
Answer:
28.86
Step-by-step explanation:
It's the Pythagorean theorem just relearn it and you should be fine
Show your work: convert 5/6 into a decimal
Answers
5÷6
0.83333333
i think it is helpful for you
please mark me brainliest
Answer:
0.83
Step-by-step explanation:
5:6 alr explain sorry if false
A game of chance involves rolling a 16-sided die once. If a number from 1 to 3 comes up, you win 4 dollars. If the number 4 or 5 comes up, you win 7 dollars. If any other number comes up, you lose. If it costs 5 dollars to play, what is your expected net winnings
Answers
Answer:
-$1.8
or loss of $1.8
Step-by-step explanation:
Given the following parameters, we have
The probability of winning $4 is 3/16
The probability of winning $7 is 2/16
The probability of losing $5 is 11/16
E(X) = (4 * 3/16) + (7 * 2/16) + (-5 * 11/16)
= 12/16 + 14/16 - 55/16
= -29/16
= -1.8
Hence, your expected net "winnings" would be -$1.8. That's an expected loss of $1.8.
The diameter of a peacan pie is 7 inches. What is the circumference?
Answers
Answer:
21.98/C
Step-by-step explanation:
The equation for circumference is pi(d).
so 3.14*7 is about 21.98
in melissa's class 3/4 of the students play soccer. 1/4 of the students who play soccer also play lacrosse. what fraction of the students plays lacrosse?
Answers
Answer:
3/16
Step-by-step explanation:
3/4*1/4=3/16
Answer:
1/4
Step-by-step explanation:
as said in the question, 1/4 of the students plays soccer AND lacrosse. so the answer is 1/4
The actual weight of a 2-pound sacks of salted peanuts is found to be normally distributed with a mean equal to 2.04 pounds and a standard deviation of 0.25 pounds. Given the information, the probability of a sack weighing more than 2.40 pounds is 0.4251. True or False.
Answers
Answer:
False
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean equal to 2.04 pounds and a standard deviation of 0.25 pounds.
This means that [tex]\mu = 2.04, \sigma = 0.25[/tex]
The probability of a sack weighing more than 2.40 pounds is 0.4251. True or False.
We have to find 1 subtracted by the vpalue of Z when X = 2.4. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.4 - 2.04}{0.25}[/tex]
[tex]Z = 1.44[/tex]
[tex]Z = 1.44[/tex] has a pvalue of 0.9251
1 - 0.9251 = 0.0749
The probability is 0.0749, which means that the answer is False.
What are the solutions to x2 + x - 5≤0
Answers
I have no idea what that x is doing, so imma take it out.
2+x-5≤0
-3+x≤0
+3 +3
x≤3
---
hope it helps
4/5 times 40 =
1/6 times 48=
5/8 times 64=
Answers
Answer:
4/5 times 40 = 32
1/6 times 48= 8
5/8 times 64= 40
Step-by-step explanation:
Hope this helps chu! Credit to the person below as well!
what is the surface area of the figure below
Answers
Answer:
54 ft
Step-by-step explanation:
So... the volume is length x width x height = volume.
So... 6 x 3 x 3 = 54 ft
Hope this helps =]
URGENT IM POSTING THE PICTURE AS TGE QUESTION
Answers
Answer:c
Step-by-step explanation:
sprinter started his race slowly and then increased his speed by 14.8 miles per hour to reach a top speed of 23 miles per hour. What was the sprinter's speed before he increased his speed?
Answers
Answer:
8.2
Step-by-step explanation: i think its 8.2
i dont know tho
The sprinter's speed before he increased his speed is 8.2 miles per hour.
What is Speed?
Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
Here, Change in Speed = 14.8 miles per hour
Top speed = 23 miles per hour
Actual old Speed = Top Speed - increased speed
= 23 - 14.8
= 8.2 miles per hour
Thus, the sprinter's speed before he increased his speed is 8.2 miles per hour.
Learn more about Speed from:
https://brainly.com/question/7359669
#SPJ2
How many times can 45 go into 7,200?
Answers
Answer:
160
Step-by-step explanation:
divided 7200 by 45 to get 160