Answers
Answer:
Volume = 2880m²
Surface area = 1632m²
Step-by-step explanation:
The prism shown is a triangular prism
The volume of the prism can be found by multiplying the area of the base by the length of the prism
The base being a triangle.
The area of a triangle can be calculated by using this formula
[tex]A=\frac{bh}{2}[/tex]
where b = base length and h = height
The base length of the particular triangle is 12 m and the height is 16
That being said we plug in the values into the formula
[tex]A=\frac{12*16}{2} \\12*16=192\\\frac{192}{2} =96[/tex]
Hence the area of the base is 96 square meters
Finally we multiply the area of the base by the length of the prism ( which is 30 m )
So volume = 96 * 30
96 * 30 = 2880
Hence the volume of the triangular prism is 2880m²
Now to find the surface area
Kindly check the image below for information on the formula for surface area of a triangular prism
Formula = [tex]SA=bh+L(s_1+s_2+s_3)[/tex]
where b = base length
h = height of base
L = length of prism
S1 also = base
S2 = base height
S3 = slant height of base
The shown triangle has the following dimensions
b = 12
h = 16
L = 30
S1 = 12
S2 = 16
S3 = 20
Now that we have identified each dimension, we plug in the values into the formula
[tex]SA=16*12 + 30(12+16+20)\\16*12=192\\30*12=360\\30*16=480\\30*20=600\\600+192+480+360=1632\\SA=1632m^2[/tex]
So we can conclude that the surface area of the triangular prism is 1632m²
Related Questions
Find the measure of 26.
4 6 = [?]
249
46
Answers
Answer:
Solution given:
<6+24=180[co- interior angle]
<6=180-24=156°
<6=156°
Given g(x) = -5x – 4, solve for x when g(x) = 1.
Answers
Answer:
g (1) = -5(1) -4
-5-4
-9............. .......
Step-by-step explanation:
-5(1)-4=-5-4=-9 Answer
hope it helps
What is the volume of this container?
Answers
Answer:
420
Step-by-step explanation:
The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution. 1271 1187 1194 1250 1268 1316 1275 1317 1275 (a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.)
Answers
Answer:
The sample mean year is 1261 A.D.
The standard standard deviation is of 46 A.D.
Step-by-step explanation:
Sample mean:
Sum of all values divided by the number of values. So
[tex]x = \frac{1271+1187+1194+1250+1268+1316+1275+1317+1275}{9} = 1261.4[/tex]
Rounding to the nearest whole number, the sample mean year is 1261 A.D.
Sample standard deviation:
Square root of the sum of the difference squared between each value and the mean, divided by one less than the sample size. So
[tex]s = \sqrt{\frac{(1271-1261.4)^2+(1187-1261.4)^2+(1194-1261.4)^2+(1250-1261.4)^2+(1268-1261.4)^2+(1316-1261.4)^2+(1275-1261.4)^2+(1317-1261.4)^2+(1275-1261.4)^2}{8}} = 45.8[/tex]
Rounding to the nearest whole number, the standard standard deviation year is of 46 A.D.
Jose graphed the amount of money paid in relation to the Number of avocados bought. Which statement best describes the unit rate for the graph below?
Answers
Answer:
The answer is c : avacodos cost 5.00 each
Step-by-step explanation:
12 The points (-15, -3) and (-7, -1) both lie
in the graph of the linear function
y = f(x). What is the rate of change of
f(x) with respect to x?
Answers
rate of change is 1/4
Step-by-step explanation:
I just need help with this is anyone can help I would be happy Thx
Answers
Answer:
24 sq cm
Step-by-step explanation:
the big square is 20 and the small one is 4
5•4=20
2•2=4
20+4=24.
I hope that’s help
✋
line q has a slope of 5/6 line r is a perpendicular to q what is the slope of line r
Answers
Answer:
y=13
Step-by-step explanation:
ndnjekskssj unlock ignition
Answer:
-6/5
Step-by-step explanation:
In order to find the slope of a line perpendicular to another, you have to take the negative reciprocal.
This basically means that you multiply the slope by -1 and flip it, switch the numerator and denominator, find the reciprocal, whatever you want to call it. (but reciprocal is the proper term for it)
In this case, after multiplying it by -1, it would be -5/6, and taking the reciprocal would make it -6/5.
Which of the following equations is true? 3 + 1 = 3 . 0
Answers
You only put one equation in
What is 38,807 rounded to the nearest thousand?
Answers
Answer:
that would be 39,00
Step-by-step explanation:
Answer:
39,000
Step-by-step explanation:
807 is closer to 1,000 then 0 so add another 1,000.
Have a great day!
help help please i did not understand
Answers
Answer:
The tree grows 3,14 centimeters per year
Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.
Step-by-step explanation:
Jeremy drew a figure that is parallelogram but not a rectangle
Answers
Answer:
2 acute angles and 2 obtuse angles (D)
2 pairs of parallel sides
4-5c=6+9(8-7c)
State if it has one no or infinite solutions
Answers
Answer:
It has one solution.
Step-by-step explanation:
c = 37/29.
A rectangle has side lengths of 3 inches and square root 5 inches. Which statement
must be true
about the area of the rectangle?
Answers
Answer:
B
Step-by-step explanation:
Firstly, we will take a look at the equation and the options listed to choose from.
Secondly, we notice these options are reffering to rational and irrational numbers.
A rational number is a number that can be expressed in a ratio of 2 integers. (Form example whole numbers such as 1 (1/1), 2(2/1) 5(5/1, 10/2) and even decimals like 3.75 (375/100) or (750/200) etc.
As for irrational numbers, these can NOT be simplified between a ratio 2 integers. For example the question states 3 multiplied by the square root of 5. The square root of 5 is 2.2360679... multiplied by 3 we get 6.7082..... Numbers such as those can go on for infinity and can not be simplified as integers therefore they are irrational numbers.
.............................................................................................................
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.D is false because if the product is 6.708 it can not be the square root of 15 (3.872)
B. It is an irrational number because the product of the side lengths is [tex]3\sqrt{5}[/tex], an irrational number.
According to this question, we know the lengths of the two sides of the rectangle, the length of a side is an positive integer and the length of the other one is an positive irrational number. The area of the rectangle is the product of the two sides lengths mentioned above.
By algebra, we know that the product between an integer and an irrational number leads to other irrational number. Therefore, the area of the rectangle is represented by an irrational number.
[tex]A = (3)\cdot \sqrt{5}[/tex]
[tex]A = 3\sqrt{5}[/tex]
Hence, the right answer is B.
We kindly invite you to check this question on irrational numbers: https://brainly.com/question/528650
Fred takes out a mortgage for $60,000 at 7% for 20 years. What are his monthly payment, the total
amount paid, and the cost of the mortgage?
Answers
You need 12 and it cost 50k
Silvergrove middle school spent $60 to purchase 4 work books. How many these workbooks can they buy for $90? Solve using unit rates.
Answers
Five surf shops sell the same pair of flip-flops for the following prices: $17.00, $15.50, $15.00, $18.00, $15.00. Find the mean, median, and mode of the data to determine which measure of center and which measure of variability best describe the data.
The mean is $
. The median is $
. The mode is $
.
The
best describes the data, so the
is the better measure of variability.
Answers
Answer:
Mean: $16.1
Median: $15.00
Mode:$15.00
The mode best describes the data, so the mean is the better measure of variability.
Step-by-step explanation:
How to find the mean:
Add up each value on the data set, then divide it by the number of values on the data set. (Example: $17.00 + $15.50+$15.00+$18.00+$15.00= 80.5/5=16.1)
How to find the median: Order your values from least to greatest, then find the value in the center.
How to find mode: Look for the most frequent value in the data set. What value shows up the most?
Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].
Here, the mode best describes the data, so the mean is the better measure of variability.
What is the mean, median, mode?
Mean, median, and mode are the measures of central tendency, used to study the various characteristics of a given set of data. A measure of central tendency describes a set of data by identifying the central position in the data set as a single value.
Here given data is
$[tex]17.00[/tex], $[tex]15.50[/tex], $[tex]15.00[/tex], $[tex]18.00[/tex], $[tex]15.00[/tex]
Here,
Mean is the sum of all values divided by number of observation
i.e,
[tex]\frac{17.00+15.50+15.00+18.00+15.00}{5}=\frac{80.5}{5}\\\\\\=16.1[/tex]
Median is the middle value of the data, firstly we arrange the data in ascending order
[tex]15.00,15.00,15.50,17.00,18.00[/tex]
So, the middle value is [tex]15.50[/tex] $.
Mode is the repetition of the same number in the data
[tex]15.00,15.00,15.50,17.00,18.00[/tex]
Then, [tex]15.00[/tex] is the mode of the given data.
Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].
Here, the mode best describes the data, so the mean is the better measure of variability.
To know more about the mean, median and mode
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6 (x+3) < 3(2x+6)
What is x ?
Answers
Answer:
no solution
Step-by-step explanation:
6x + 18 < 6x + 18
0 < 0 is not a true statement, no solutions
Tucker purchased $4,600 in new equipment for a catering business. He estimates that the value of the equipment is reduced by approximately 40% every two years. Tucker states that the function V(t)=4,600(0.4)2t could be used to represent the value of the equipment, V, in dollars, t, years after the purchase of the new equipment. Explain whether the function Tucker stated is correct, and, if not, determine the correct function that could be used to find the value of the equipment purchased.
Answers
The function stated by Tucker is incorrect.
V(t) = 4600(0.8)^t
Step-by-step explanation:
Given the function :
V(t)=4,600(0.4)2t
The initial value of equipment = 4600
Decay rate = 40% of very 2 years
The value of equipment t years after purchase
The exponential decat function goes thus :
V(t) = Initial value * (1 - decay rate)^t
The Decay rate per year = 40% /2 = 20% = 0.2
V(t) = 4600(1 - 0.2)^t
V(t) = 4600(0.8)^t
Select the correct answer.
f(x)=21 + 3?
41 – 8
Which graph shows the asymptotes of the function
Answers
Answer:
answer is b jejejejsjsjwj
The table below shows the amount of rainfall in Maryville during each week of April. What was the total amount of rainfall in the month of April?
Week 1: 2 2/3
Week 2: 1/8
Week 3: 1 3/4
Week 4: 1/2
Answers
Answer:
Step-by-step explanation:
Just add the fractions after finding the common denominator 3 times 8 = 24
Please check my math and typing for accuracy.
Week 1: 2 2/3 = 8/3 x 8/8 = 64/24
Week 2: 1/8 = 1/8 x 3/3 = 3/24
Week 3: 1 3/4 = 7/4 x 6/6 = 42/24
Week 4: 1/2 = 1/2 x 12/12 = 12/24
= (64+3+42+12)/24
= 121/24 24 times 5 = 120
= 5 1/24
Recall that if there is an intruder, system A sounds an alarm with probability 0.9 and system B sounds an alarm with probability 0.95. If there is no intruder, system A sounds an alarm with probability 0.2 an system B sounds an alarm with probability 0.1. Now assume that the probability of an intruder is 0.4. Also assume that under a given condition (intruder or not), systems A and B operate independently. If both systems sound an alarm, what is the probability that an intruder is detected
Answers
I uploaded the answer to a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3a8Nt8n
Mrs. Rhodes is building the ramp shown below and she wants to paint it blue. How much paint will she need to cover the entire surface?
Answers
Answer:
2/3 of paint I believe because of the amount shown
Find the measure of A as indicates in the picture.
In case the picture blurs
Top angle = x + 63
Left angle = x + 96
Right angle = x + 149
Answers
Answer:
∠A = 58°
Step-by-step explanation:
all triangles contain 180°
180° - 149° = 31°
x + 63° + x + 96° + 31° = 180°
combine like terms:
2x + 190° = 180°
2x = -10°
x = -5°
∠A = -5° + 63° = 58°
What is the equation of a line with a y-intercept at (0, 2) and a slope of 3?
a. y = 2x + 3
C. y = 3x + 2
b. y = 3x - 2
d. y = -2x + 3
Answers
Answer:
answer is C
the slope is 3 and the intercept is (0,2) which is 2
3 m
150°
3. What is the area of the sector outlined by the dark line?
a. 150 m
b. 28.3 m
c. 11.8 m²
d. 3 m
Answers
Answer:
Area of sector = 11.8 m² (Approx.)
Step-by-step explanation:
Given:
Radius of a circle = 3 m
Given angle = 150°
Find:
Area of sector
Computation:
Area of sector = [θ/360][π][r]²
Area of sector = [150/360][22/7][3]²
Area of sector = [150/360][22/7][9]
Area of sector = [150/360][3.1428][9]
Area of sector = [0.4167][3.1428][9]
Area of sector = [1.345][9]
Area of sector = 11.789
Area of sector = 11.8 m² (Approx.)
A square and a rectangle have the same perimeter. The rectangle is 13 cm long and 7 cm wide.
Which is the length of a side of the square?
Answers
The length of each side of a square is 10 cm.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know, the perimeter of a rectangle is 2(length×width) and the perimeter of a square is 4×(side).
Given, The length and width of the rectangle are 13cm and 7 cm respectively.
Therefore, the perimeter of the rectangle is = 2(13×7) = 2×20 = 40 cm.
So, The perimeter of the square is also 40 cm.
Therefore, The length of the side is 4×side = 40.
side = 40/4.
side = 10 cm.
learn more about squares here :
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What are the factors of 25x^2 – 9y^2?
A. (x-9y)(25x+y)
B. (x+9y)(25x-y)
C. (5x-3y)(5x-3y)
Answers
Hope it helps
Does anyone know what the answer please?
Answers
Answer:
<1 = 76
Step-by-step explanation:
<1 + 51 + 53 = 180
<1 + 104 = 180
<1 = 180 - 104
<1 = 76
If the area of a right-angled triangle is 47 56 cm and its height is 11.6 cm. finds its base.
Answers
Answer:
820
Step-by-step explanation:
Hi so if your area is 4756, the base would be 820