EASY- Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the finished object assuming it is empty inside.
Answers
Given:
A combined figure of a triangular prism and a cuboid.
To find:
The volume of the finished object assuming it is empty inside.
Solution:
From the given figure it is clear that the dimensions of the cuboid are 6 cm, 8 cm and 5 cm.
So, the volume of the cuboid is:
[tex]V_1=length\times width\times height[/tex]
[tex]V_1=6\times 8\times 5[/tex]
[tex]V_1=240[/tex]
The volume of the cuboid is 240 cubic cm.
The area of a triangle is:
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
Thus, the base area of the triangular prism whose base is 8 cm and height 4 cm, is:
[tex]B=\dfrac{1}{2}\times 8\times 4[/tex]
[tex]B=16[/tex]
The volume of a triangular prism is:
[tex]V_2=Bh[/tex]
Where, B is the base area and h is the height of the prism.
The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:
[tex]V_2=16(5)[/tex]
[tex]V_2=80[/tex]
Now, the volume of the given figure is:
[tex]V=V_1+V_2[/tex]
[tex]V=240+80[/tex]
[tex]V=320[/tex]
Hence, the volume of the finished object is 320 cubic cm.
Related Questions
pls help omg i will give brainliest
Answers
Answer:
The actual height of 1 story is 15 feet.
Step-by-step explanation:
The given scale is
2 inches = 25 ft
We know the 10 story building has a height of 12 inches, but we need the actual height of 1, that is, the height of 1 story in feet.
Let's divide to find the number of inches per story
There are 1.2 inches per story.
Now, we know , let's use the rule of three
Therefore, the actual height of 1 story is 15 feet.
Answer:
15 ft
Step-by-step explanation:
2 inches = 25 ft
12 inches = x ft
2 x 6 = 12
25 x 6 = 150
150 ft = 10 stories
150/10 = 15
Each story = 15ft
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
I really need help lol...you get 81 POINTS!!!!!!!!!!!!!!!!!!
Answers
Answer:
area = 82 cm²
Step-by-step explanation:
The figure comprises a trapezoid, a triangle and a square.
Calculating areas of the three shapes separately and then adding them will give us the required area of the composite figure.
Area of square : (side)²
= (2)²
= 4 cm²
Area of triangle : ½ × b × h
= ½ × 3 × 12
= 3 × 6
= 18 cm²
Area of trapezoid : ½ × (a + b) × h
= ½ × (5+5) × 12
= ½ × 10 × 12
= 5 × 12
= 60 cm²
Now, area of the composite figure :
= 4 + 18 + 60
= 22 + 60
= 82 cm²
Answer:
82 cm²Step-by-step explanation:
If you exclude the square on the bottom, you have a trapezoid with bases of 5 cm and 8 cm and the height of 12 cm.
Its area is:
A = (5 + 8)*12/2 = 78 cm²Add the area of the square with sides of 2 cm:
A = 2*2 = 4 cm²Total area is:
A = 78 + 4 = 82 cm²-4(-8x + 12y)
Distribute
Answers
Answer:
-32x-48y
Step-by-step explanation:
multiply: -4 (8x) - 4 (12y) = -32x-48y
Answer:
32x - 48y
Step-by-step explanation:
when you distribute, -4 has to go to both -8x and 12y
so -4 times -8x = 32x
-4 times 12 = -48y
Final answer: 32x - 48y
Find the value of Y. Please help. Will give Brainlyest if your correct.
Answers
Answer:
Step-by-step explanation:
by intersecting chord theorem, 27*y = 13*17
y=13*17/27=8.185=8.19
Can someone please help me!
Answers
Answer:
Answer :-Option D :- (180 - 2x)°
Hope it helped :)what is 1 + 1
if the answer is 2 then why is it 2
Answers
HELP PLS ! SOOOOON!!!!!!
Answers
Answer:
Is this a question
fine
it is a 2
Step-by-step explanation:
James bought 12 cookies and ate 3 of them. He ate __ % of the cookies. (Make sure to enter the answer using numbers only. Do not enter special characters such as the percent symbol.)
Blank 1:
Answers
Answer:
James ate 25% of the cookies
Given m||n, find the value of x.
Answers
Answer:
x=16
Step-by-step explanation:
Answer:
x=15
Step-by-step explanation:
The definition of a transversal says that the two expressions are equal to each other so you can solve the equation:
4x-7=3x+9
x=15
hello please help prize is brainliest
Answers
Answer:
1.) Four
2.) Six
3.) Three
Step-by-step explanation:
Can i get brainliest im one away from becoming an expert
HELP PLEASE WILL LEAVE GOOD RATING
Answers
Answer:
that would be 200 to 2,000 feet in the air
Gigi earned $65 for 5 hours of gardening. She earned $90 for 9 hours of office work. Which statement correctly compares Gigi’s earning per hour for gardening and office work?
Answers
Answer:
Even though you did not add choices, she makes more gardening.
Step-by-step explanation:
65 / 5 is 13, so she makes $13 an hour while gardening.
90 / 9 is 10, so she makes $10 an hour while doing office work.
Answer:
The answer is A take my word for it brodies i swear
Step-by-step explanation:
Solve the following quadratic by
completing the square.
f(x) = x2 + 10x - 1
Answers
Can y’all help me fin the height
Answers
The width is 2.5
The length is 2+2.5=4.5
The volume is 45
So, we input:
45/4.5*2.5 (V/LW) to find the height
where dose this number go on the number line?
Answers
Answer:
in between 4.1 and 4.3
Step-by-step explanation:
A circle has a radius of 6 feet. Calculate the area of the
sector formed by a central 30° angle
Answers
Answer:
The area of the sector is 9.43 ft^2
Step-by-step explanation:
Here, we want to find the area of the sector with a central angle of 30 degrees
To do this, we use the formula below;
Area of sector = theta/360 * pi * r^2
theta = central angle = 30 degrees
r = radius = 6 ft
Thus, we have it that;
Area of sector = 30/360 * pi * 6^2
= 30/10 * pi = 3 * 3.142 = 9.43 ft^2
Please help, thanks! Ok so, you pick a card at random, put it back, and then pick another card at random. There are FIVE cards and they are numbered like this: 1, 2, 3, 4, 5. What is the probability of picking a number greater than 1 and then picking a number less than 2? Write the answer as a fraction or whole number. Thank you!
Answers
Answer:
[tex]P(x > 1\ and\ x < 2) = \frac{4}{25}[/tex]
Step-by-step explanation:
Given
[tex]S = \{1,2,3,4,5\}[/tex]
[tex]n(S) = 5[/tex]
Required
[tex]P(x > 1\ and\ x < 2)[/tex]
[tex]P(x > 1\ and\ x < 2)[/tex] is calculated as:
[tex]P(x > 1\ and\ x < 2) = P(x > 1) * P(x < 2)[/tex]
Since it is a probability with replacement, we have:
[tex]P(x > 1\ and\ x < 2) = \frac{n(x > 1)}{n(S)} * \frac{n(x < 2)}{n(S)}[/tex]
For x > 1, we have:
[tex]x > 1 = \{2,3,4,5\}\\[/tex]
[tex]n(x > 1) = 4[/tex]
For x < 2, we have:
[tex]x < 2 = \{1\}[/tex]
[tex]n(x < 2) = 1[/tex]
[tex]P(x > 1\ and\ x < 2) = \frac{n(x > 1)}{n(S)} * \frac{n(x < 2)}{n(S)}[/tex]
becomes
[tex]P(x > 1\ and\ x < 2) = \frac{4}{5} * \frac{1}{5}[/tex]
[tex]P(x > 1\ and\ x < 2) = \frac{4}{25}[/tex]
HELPPPPPPP
PLS.
HELP.
-Elizabeth R.
-YT: Lizzy Playz (with an anime girl icon with glasses)
-Dis Cord: Your.Local.Lizzy.Afton
Answers
well, its just area ez. 3.8x3.8=14.44
Answer:
14.44ft^2
Step-by-step explanation:
3.8ft x 3.8ft
How do you calculate this?
Answers
Answer:
hdwhdbehqj
Step-by-step explanation:
223499
3344rbjee
what are the next two terms in the sequence?: 1, -2, 4, -8
Answers
Answer:
16 and -32Step-by-step explanation:
-2÷1 = -2
4÷(-2) = -2
-8:4 = -2
So this is a geometric sequence with a common ratio of -2
Therefore:
the 5th term: -8×(-2) = 16
the 6th term: 16×(-2) = -32
Find the area and the perimeter of the figure below. The figure is composed of small
squares with a side-length of 1 unit and curves that are an arc of a circle.
our answer
Answers
Answer:
11.28 units squared
Step-by-step explanation:
Area of a circle is
[tex]\pi {r}^{2} [/tex]
each square has an area of 1
There are four semi-circles, which make two complete circles.
the area of the 5 squares plus the area of the two circles equals the total area.
5 + 2(3.14) = 11.28
In \triangle UVW,△UVW, \overline{VW}\cong \overline{UV}
VW
≅
UV
and \text{m}\angle V = 71^{\circ}.m∠V=71
∘
. Find \text{m}\angle U.m∠U.
Answers
Answer:
m∠U = 54.5°
Step-by-step explanation:
ΔUVW is an isosceles triangle. The angles opposite UV and VW are congruent.
That means m∠U = m∠W
Since the measures of the angles of a triangle have a sum of 180, then
m∠U + m∠W + m∠V = 180
m∠U + m∠U + 71 = 180
2 m∠U = 109
m∠U = 54.5°
I will give brainiest
Answers
Answer:
I think it's 6,800 in3 I don't know perfectly whether it is correct answer or not
Verify that a + ( b + c) = (a + b) + c , a = (-12) , b = 4 , c = (-25)
Answers
Answer:
a + (b + c) = (a + b) + c
Step-by-step explanation:
a= (-12), b = 4, c = (-25)
[tex](12) + (4 + ( - 25)) = ( - 12 + 4) + ( - 25) \\ - 33 = - 33[/tex]
Answer:
GIVEN :-
a = -12b = 4c = -25TO VERIFY :-
a + (b + c) = (a + b) + cSOLUTION :-
Find the values of L.H.S. & R.H.S.
L.H.S. :-
Put all values in → [tex]\boxed{a+(b+c)}[/tex]
⇒ -12 + [4 + (-25)]
⇒ -12 + (4 - 25)
⇒ -12 + (-21)
⇒ -12 - 21
⇒ -33
R.H.S. :-
Put all values in → [tex]\boxed{(a+b)+c}[/tex]
⇒ (-12 + 4) + (-25)
⇒ -8 - 25
⇒ -33
CONCLUSION :-
L.H.S. = R.H.S.
⇒ a + (b + c) = (a + b) + c
Sadi had $5. She spent $3 on school supplies. She wants to exchange the money she has left for quarters for the vending machine. How many quarters will she get?
Answers
Answer:
8
Step-by-step explanation:
one quarter is 25 cents or 1/4 of a dollar therefore 4 quarters = 1 dollar
there are 2 dollars left over because 5-3= 2, so since there are 4 quarters in each dollar she has 8 quarters.
Answer:
8 quarters
Step-by-step explanation:
1 dollar is 25 cents
25 is one fourth of a dollar
Help will give brainliest
Answers
32-17=15
I think that’s right if we are going by the outliers
Please help asap will mark brainliest!!!!
Answers
Answer:
2,600.00
Step-by-step explanation:
Pls help with this it’s 3:44 AM for me, I’m in my study room trying to figure out how to solve this and I still didn’t finish My math work cuz I didn’t know howw ( due tomorrow ) and it’s getting rlly late so can u guys help me?? ty <33! please try your best! /spamming!/
Answers
Answer:
1. [tex]\frac{4}{10}[/tex]
2. He used baking soda more than vanilla flavoring. [tex]\frac{7}{8} > \frac{1}{4}[/tex]
3. Giraffes are the herbivores. [tex]\frac{1}{6} < \frac{3}{4}[/tex]
4. Sarai helps more in the school than Josh does. [tex]\frac{3}{8} < \frac{8}{12}[/tex]
5. [tex]\frac{5}{12} < \frac{6}{8}[/tex]
6. [tex]\frac{4}{6} > \frac{2}{5}[/tex]
7. [tex]\frac{7}{10} < \frac{4}{3}[/tex]
According to the stem-and-leaf plot above, how many drivers travel below 80 miles hour per hour? A. 2 B. 6 C. 14 D. 5
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
The question is incomplete, as the required stem-and-leaf plot is not available. I will answer this question with the attached plot
Required
Drivers that travel below 80 mph
A stem and leaf plot has the following syntax: Stem | Leaves
Take for instance:
7 | 2 3 4 7
The above represents 72, 73, 74 and 77
Using the above illustration, the attached leaf plot can be interpreted as:
60, 61, 61, 65, 66, 66, 67
71, 73, 76, 77, 78
80 81... and so on
The drivers that drive below 80 mph are:
60, 61, 61, 65, 66, 66, 67
71, 73, 76, 77, 78
And the frequency is: 12
Hence, 12 drivers travel below 80 mph (using the attached stem and leaf plot)
Select the correct answer.
Arthur is conducting a study on the preferred study options of students from East County College. He randomly selected 28 students from the college and found that 25% of those surveyed preferred studying abroad. Assuming a 95% confidence level, which statement holds true?
Answers
Answer: AS THE SAMPLE SIZE IS TO SMALL, the margin of error cannot be trusted
Step-by-step explanation:
Plato and Epmentum