Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale
Answer:
150 ft²
Step-by-step explanation:
Area of trapezoid = ½(a + b)h
Where,
a = 24 ft
b = 24 + 12 = 36 ft
h = √(13² - 12²) = √25 = 5 ft (pythagorean theorem was applied here)
Plug in the values
Area of trapezoid = ½(24 + 36)*5
= ½(60)*5
Area of trapezoid = 150 ft²
Find the area of the following
trapezoid:
8 cm
5 cm
4 cm
16 cm
A = [?] cm2
PLEASE HELP
Answer:
48 cm²
Step-by-step explanation:
Area of trapezoid = [tex]\frac{a + b}{2}[/tex] × h
Area = (8 + 16)/2 x 4
Area = 24/2 x 4
Area = 12 x 4
Area = 48 cm²
2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of . One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.
(a) One cup has a diameter of 4 in. and a height of 8 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
(b) One cup has a diameter of 8 in. and a height of 8 in. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
The requried,
(a) Carissa scoop out 63 cups.
(b) Carissa scoop out 16 cups
Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The problem requires us to find out how many cups of water Carissa needs to scoop out of the sink to empty it, given the volume of the sink and the dimensions of the two cups. We can solve this problem by using the formula for the volume of a cone:
V = (1/3) * π * r² * h
First, simplify the volume formula for a cone to make it easier to manipulate:
V = 1/3πr²h
Next, plug in the given values for the first cone:
V = 1/3π(2²)(8) = 32π/3
Then, divide the volume of the sink by the volume of the first cone:
2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.
Now, calculate the volume of the second cone using the same formula:
V = 1/3π(4²)(8) = 128π/3
Finally, divide the volume of the sink by the volume of the second cone:
2000π/3 ÷ 128π/3 = (2000π/3) * (3/128π) = 2000/128 = 15.625 ≈ 16.
Divide the volume of the sink by the volume of the first cone to get the number of first cones that can fit into the sink:
2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.
Learn more about Volume here:
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I am completely lost someone help!:)
Answer:
[tex]x = 26[/tex]
Step-by-step explanation:
Given
The above triangles
Required
Find x
The two triangles are similar. So we make use of the following equivalent ratios, to solve for x
[tex]XZ : ZY = JL : LK[/tex]
Replace each side with their measurements
[tex]13 : 10 = x : 20[/tex]
Express as fraction
[tex]\frac{13}{10} = \frac{x}{20}[/tex]
Solve for x
[tex]x = \frac{13}{10} * 20[/tex]
[tex]x = 1.3 * 20[/tex]
[tex]x = 26[/tex]
Help please & thank you , need it asap
Answer:
x = 180 - 30 - 41 - 67 = 42°
Sam is making a picture frame. He is gluing craft sticks end-to-end to a piece of cardboard. The sticks do not overlap. The top of the frame is 18 and one-third inches long. Each craft stick is 3 and one-third inches long.
How many craft sticks will Sam glue to the cardboard to make the top of the frame?
Answer: 5 1/2
Step-by-step explanation:
I took the test ig, but im not 100% sure
Permudahkan ungk
8a + 3b - 2a - b
Answer:
answer:8a + 3b - 2a - b
=8a-2a+3b-b
=6a+2b or 2(3a+b) is your answer
Select the interval where g is positive.
Choose 1 answer:
A
1 < x < 2
B
3 < 3 < 4
4 < x < 5
Answer: it’s a
Step-by-step explanation:
find x
help please, asap.
Answer: x = 110 degrees
Step-by-step explanation:
35 and its vertical angle inside the triangle both = 35 deg
43 and 32 add to 75 deg
The total degree measure inside a triangle is 180
180-75-35 = 70 deg
70 degrees is the supplementary angle of x
180-70 = x
x = 110 degrees
Ans: 720cm
2
The ratio of the number of Malay students to the number of Indian students to the
number of Chinese students in a school is 5:4:8.
There are a total of 468 Indian and Chinese students.
What is the total number of students?
Ans:
Answer:
663
Step-by-step explanation:
ratio of Malay = 5
ratio of Indian= 4
ratio of Chinese= 8
Total number of Indian + Chinese= 468
Total ratio= 5+4+8= 17
Let the total number of students= X
Ratio of India= 4/17 × X=
Ratio of Chinese= 8/17 × X=
Addition of ratio of both India and Chinese=
4X/17 + 8X/17= 468
(4X +8X)/17 = 468
12X/17= 468
X= 663
Hence, total number of students is 663
of the students in the lunch room 40% are girls there are 20 girls in the the lunch room how many students are in the lunch room
Answer:
50 students
Step-by-step explanation:
20 is 40% of 50
because 50 x .40 = 20
Hope this helps!
Answer:
30
Step-by-step explanation:
40%/2=20%
20/2=10
100%-40%=60%
60%/3=20%
10x3=30
2 1/6* 2 5/6 IN SIMPLEST FORM
Answer:
6 5/36
Step-by-step explanation:
MARK ME BRAINLIEST?
What is the probability of being born on a day that does not begin with the letter T?
What is the volume of the cylinder shown below? A. 12157 units B. 3617 units C. 647 units D. 152 T units
1215 Units 3
Answer:
D
Step-by-step explanation: the answer is D
Please hePlease necassary answers I need 9 and 10
Answer:
9) 73
10) he set off at 1:55 pm
easy-Peasy
Which statement correctly compares the function shown on this graph with
the function y = 5x + 5?
-10-8-642
2 4 6 8 10
A. The function shown on the graph has a smaller rate of change and
a lower starting point.
B. The function shown on the graph has the same rate of change, but
a lower starting point.
OC. The function shown on the graph has the same rate of change, but
a higher starting point.
D. The function shown on the graph has a smaller rate of change, but
the same starting point.
Find the coordinates of the 4th vertex d
Answer:
I think its b
Step-by-step explanation:
2. the sum of x and 9
Answer:
x + 9
Step-by-step explanation:
The sum of x and 9,
x + 9
Solve for x
A) 3
B) 11
C) 6
D) 7
For each value of y, determine whether it is a solution to 7y - 9 = -58
Answer:
The answer is -7.
Step-by-Step explanation:
josie is looking at buying a new phone for $800. If she does not want to pay the entire $800 she has the option of buying a phone $150 deposit and making 12 monthly payment of $75 each. If josie Chooses the payment plan what will be the percent increase on the original cost of the phone? No links
Answer:
maybe its b
Step-by-step explanation:
Identify whether the following equation has a unique solution, no solution, or infinitely many solutions.
2( − 4) = 10 − 8 − 8
A
unique solution
B
no solution
C
infinite solutions
(x^2)+8x+12=0
i need help with this one
Answer:
x1=-6, x2=-2
Step-by-step explanation:
Answer:
this is the answer hope it helps
name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.
Name the song that goes with these lyrics
1. I was rocking off white tryna have a fun time she gone eat like lunch time molly got her on time
2. Im a first class baby u in last baby im a 90's baby but i cook that shi from the 80's
3. I know i have a purpose but ion see the purpose they tell me the death of me gone be the perkys i know the lace the ills i bought them on purpose lifes unreal when deaths uncertain
Answer:
1. I'll Be Fine - Juice Wrld
2. ON GOD - Juice Wrld
3. Rich and Blind - Juice Wrld
Can someone help me pls
Pam went to the mall one day, below shows what she bought and how much those items cost.
2 shirts - $31.45
Jeans - $18.50
Dress - $14.95
How much money did Pam spend in all?
Answer:
$96.35
Step-by-step explanation:
31.45 x 2 = 62.90
62.90 + 18.50 + 14.95 = $96.35
What is the slope of the line represented by the equation y=4/5x-3
Answer:
4/5
Step-by-step explanation:
slope is 4/5
y = mx + b
m = slope
Find the 59th term of the arithmetic sequence 26, 17, 8, ...
Answer:
-496
Step-by-step explanation:
it's right :)
Please help photos for my math
Answer:
1. Surface Area = 122 Volume = 84
2. Surface Area = 1632 Volume = 2880
3. Surface area = 168 Volume = 144
4. Volume = 1350[tex]\pi[/tex]
Step-by-step explanation:
1. This is a rectangular prism. To find the surface area it is the same thing. Find the area of all sides and add them together. Because this is a rectangular prism most of the sides are equal so we will only need to find the area of three sides. To find the area of the right side, just do 4*3=12. That would be the same for the opposite side. Then to find the front side, do 7*4= 28. That would also be the same for the opposite side. Then to find the top side, do 7*3= 21. That is the same for the bottom side. Add them all together and you will get your answer. 28+28+21+21+12+12 = 122.
To find the volume of a rectangular prism the formula is V = l*w*h.
Plug in: V = 7*3*4 and then you will get 84.
2. This is a triangular prism. First find the area of the the triangular surface by multiplying the base x height and dividing by 2. (16*12)/2 = 96. That is the same for the opposite side. Then find the area of the bottom rectangular surface. 12*30 = 360. Then find the area of the back rectangular surface. 16*30 = 480. Then find the area of the final base rectangle. 30*20 = 600. Add them together and you will get 1632. Basically, find the area of all sides and then add them together.
To find volume the formula is, V = (1/2)a*c*h
Fill that in: V = (1/2)16*12*30 and then you will get 2880.
3. This is a trapezoidal prism. To find the surface area you would find the area of all sides then add them together. To find the are of a trapezoid, the formula is: A = [tex]\frac{a+b}{2}[/tex]h
Fill that in: A = [tex]\frac{4+12}{2}[/tex](6) and then you will get 48.
That is the same for the opposite side. Then you need to find the area of the rectangular side of the trapezoidal prism. 3*4= 12. This is also the same as the opposite side. The bottom side is 12*3= 36. The top side is 3*4= 12.
Add all of them together and you get 168.
1/2(4+12)*6
To find volume, V = [tex]\frac{1}{2}[/tex]h(b₁+b₂)h.
Fill in: V = [tex]\frac{1}{2}[/tex]6(12+4)3 and then you will get 144.
4. This is a cylinder. The formula to find the volume is A=[tex]\pi[/tex]r²h. Because you are leaving the answer in terms of pi, do not multiply pi into the equation.
So you would do r²h. 15² = 225. 225*6= 1350. So your answer would be 1350[tex]\pi[/tex].