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
24:10 simplified Ratio HELP
Answer:
12:5 is the simplified ratio. Couldn't answer before but here lol
21.79 + x = 25
make sure to do a explanation
Answer:
x= 3.21
Step-by-step explanation:
25- 21.79= 3.21
the equation equals to 25 so you need to find what x is by subtracting the other value
Hope this helps
19. A cone has a diameter of 36 meters and a slant height of 24 meters. What is the height of the cone to the nearest tenth?
24 m
36 m
9514 1404 393
Answer:
15.9 m
Step-by-step explanation:
The radius (18 m) and the slant height form one leg and the hypotenuse of the right triangle that has the cone height as the other leg. The Pythagorean theorem tells you the height (h) is ...
18² + h² = 24²
h = √(576 -324) = √252
h ≈ 15.9 . . . . . meters
The height of the cone is about 15.9 meters.
Ive been asking too many questions but Im really dmb so heres another one
Answer:
12(6)/2
B: 36
Step-by-step explanation:
Find the missing lengths
Answer:
x = 13 cm
Step-by-step explanation:
The figure given is a square.
Area of the given square (A) = 169 cm²
Formula for area of a square is:
A = s²
Where,
s = x
Thus:
169 = x²
Take the square root of both sides
√169 = √x²
13 = x
x = 13 cm
solve by regrouping 2x2+6x+54+18x
Answer:
I believe the answer is=2x2+342.
What two numbers make on thousand
Answer:
500 and 500
Step-by-step explanation:
Write the standard equation of a circle with its center at the origin and radius 3.
Answer:
9 = x^2+y^2
Step-by-step explanation:
3^2 = (x-0)^2 + (y-0)^2
9 = x^2+y^2
PLEASE HELP UH 15 POINTS?
Answer:
A.
Step-by-step explanation:
4x4x6=96
2x4x6=48
48+96=144
Answer:
A) 144 cube units
Step-by-step explanation:
4 x 4 x 6= 96cube units
8 x 6= 48 cube units
48+96=144 cube units
Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?
Answer:
I believe the answer is $ 231.00.
Step-by-step explanation:
I might be wrong, but please don't hate me if I am!!
First I found the sales tax of the nice running shoes by multiplying the price of the shoes by the sales tax:
216 * 6.5% = 14.04
Then I added the sales tax to the price of the nice running shoes:
$ 216 + $ 14.04 = $ 230.04
Since Jim doesn't have any change and can only pay in cash, you would round $ 230.04 to the nearest dollar:
$ 230.04 is rounded to $ 231.00 :D
A special CPI is constructed to measure the variation of these products, so that coffee and bread have a weight of 0.35 of the total and egg, ham and cheese 0.1 of the total. variation of the CPI?
9514 1404 393
Answer:
The CPI increased 3.42% in Month 2.
Step-by-step explanation:
In a spreadsheet, the weighted sum is easily computed using the SUMPRODUCT( ) function. It multiplies the corresponding values of two arrays, then returns the sum of those products. If one of the values is a weight, then the result is a weighted sum.
Your CPI is computed as the weighted sum of the prices of the individual products. The percentage change is computed in the usual way:
pct change = ((new value)/(old value) -1) × 100%
Of course, the spreadsheet can format a fraction as a percentage, so the computation of the change can stop after 1 is subtracted from the ratio.
look at pic 10 pts will mark brainilest
Answer:
48
Step-by-step explanation:
6x8=48
6 baked a cake for the 8
--------48-------
Please, my whole grade depends on this question!!!
Answer:
Y = 1/2 times -3 ( 1 x 5 )
Step-by-step explanation:
3p + 10 = 2p + 21
a. 15
b. 17
c. 11
d. 21
Answer:
c. 11
Step-by-step explanation:
3p + 10 = 2p + 21
Subtract 2p from both sides.
3p - 2p + 10 = 2p - 2p + 21
Simplify.
p + 10 = 21
Subtract 10 from both sides.
p + 10 - 10 = 21 - 10
Simplify.
p = 11
Answer: c. 11
Answer:
c.11
Step-by-step explanation:
3+10=2+21
3+10−10=2+21−10
3=2+11
3−2=2+11−2p
=11
hope this helps
have a nice day
5. Consider kite HIJK. If HK = 8 and HP = 5, find KP.
H
К.
Р
Answer:
Step-by-step explanation:
KP²+HP²=KH²
KP²+5²=8²
KP²=64-25=39
KP=√39
Data set: 47, 45, 44, 41, 48
1. Find the mean.
Mean = 47 + 45 + 44 + 41 + 48
5
= 225
5
= 45
2. Find each absolute deviation.
Absolute deviations: 2, 0, 1, 4, 3
What is the mean absolute deviation (MAD) for the data set?
Answer:
2
Step-by-step explanation:
Answer:
The answer is 2, i did the instruction on edge already.
Step-by-step explanation:
Jessie saves $6 each week. In how many weeks will she have saved at least $50?
Answer:
9 weeks at least to have at least 50 dollars.
Step-by-step explanation:
Well 6 dollars each week and to get AT LEAST 50 dollars you need to save for 9 weeks.
Well 9*6=54
If you do it for 8 you’d only get 48 which is not at least 50 but 54 is.
So 9 weeks is the final answer.
50≤54
50 isn’t less then 48
Answer
. . . . . .
Step by step explanation -
You owe $1456.32 on a credit card with a limit of $3500 what is your debt ratio?
A. 40%
B. 43.4%
C. 35%
D. 41.6%
Which of the following quadratics has a minimum?
Answer:
When a quadratic equation's x^2 coefficient is positive, its graph is "U-Shaped" and has a minimum.
Of the equation's listed, the only equation that has a "U-Shaped" graph and would have a minimum is C or 3x^2 +2x -7.
Source: http://www.1728.org/quadr3.htm
Step-by-step explanation:
what is the distance between -8 and 535 on a number line
Answer:
527
Step-by-step explanation:
because i did it in the calculator
Trying this one more time someone please hel
Answer:
G
Step-by-step explanation:
Select G, it does not show ratio of students to teachers is 13:3.
3s=13t means 3 students to 13 teachers
Which are solutions of
x/5= 1/+4?
A. -5 and 1
B. -1 and 5
C. 0 and 5
D. 0 and - 1
E. 2 and 3
Answer:
I think a is correct answer.
96 = 12d
A. 108 B. 84 C. 8 D. −1 8
Answer:
Step-by-step explanation:
Answer:
I dont know
Step-by-step explanation:
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a bakery place the following price for bagels one bagel for $1.50 two bagels for$2.25 a half a dozen for
$6.50 a dozen for $12 is the price per bagel proportion 2 the number of bagels brought.
Answer:
no
Step-by-step explanation:
1 bagel $1.50 ---------> unit cost: $1.50/bagel
2 bagels $2.25
6 bagels $6.50
12 bagels $12 ---------> unit cost: $1/bagel
Since the unit costs are not equal, the prices are not proportional.
A middle school band uses a company to manage its fundraisers. The company charges a fee of $260 per fundraiser for its services. For the first fundraiser of the year, the band is selling insulated cups with school logos on them for $10.50 each. The goal of the fundraiser is to raise at least $1000.00. The following inequality represents this situation, where c stands for the number of cups
Answer:
Step-by-step explanation:
10.5c>or equal to 1260
Answer:
I don't see any inequality or a question.
Step-by-step explanation:
I suspect you want to know the minumum number of cups to sell in order to raise $1000 and pay off the company its $260
c(10.5) - 260 > 1000
c > (1000 + 260) /10.5
c > 120 cups
Okay Ju|ian Foley simplifies this polynomial and then write it in standard form if Ju|ian wrote it the last term
Answer:
the second choice
Step-by-step explanation:
Just solve this for my friend, can u
Simplyfy 192/-168
Answer:
-8/7 is your simplified answer :)
Step-by-step explanation:
Have a nice day <3
Help mark brainlist
Answer:
741.415866247
Step-by-step explanation:
ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
b
Step-by-step explanation:
both functions are decreasing because the slope is negative :)
Answer: Function I equals 3 and Function II equals 1 and 5 over 7. Different y intercept , with a neutral slope, the functions slope are decreasing
Please help?! I'm confused I need help with all of them! and if you can please show your work!! For 50 points!
Answer:
1 x= 23°
2 x= 148°
3 x= 106°
4 x=17.3°
5 x=25°
6 x=30°
7 x=45°
8 x=48°
9 x=44°