Answers
Answer:
80 cubic inches
Step-by-step explanation:
Hey there!
In order to find the volume, you need to split this shape in two parts
We are going to take the big rectangle and the small rectangle as our two shapes
The bigger rectangle has dimensions 5.5 x 6 x 2 which is 66 cubic inches
So now we need to get the volume of the smaller rectangle which has the dimensions: 2x2x3.5 which is 14 cubic inches
Now we add both volumes
66+14 is 80
So the total volume is 80 cubic inches
Work-
7.5•3.5•2=52.5
5.5•2.5•2=27.5
52.5+27.5=80
Related Questions
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Answers
Transforming the solid line to the dotted line would change the equation of the functions
The equation of the dotted line is: [tex]f(x) = -\sqrt{x - 6} + 3[/tex]
How to transform the function?The equation of the solid line is given as:
y = √x
The solid line undergoes the following transformation to match the dotted line
Reflection across the x-axisTranslate 6 units rightTranslate 3 units upThe rule of the above sequence of transformations is:
(x,y) -> (x - 6, -y + 3)
Using the above transformation rule, the equation of the dotted line is:
[tex]f(x) = -\sqrt{x - 6} + 3[/tex]
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Suppose that a travel bureau claims that the trees in a forest are 84 ft tall on average with a standard deviation of 2 feet. If you took a sample of 64 trees, which of the following mean heights would be outside the 95% confidence interval?
A. 84.6 ft
B. 84.2 ft
C. 84.4 ft
D. 83.6 ft
Answers
The value of the mean height for the given data will be 84.6 ft. Option A is correct.
What is the standard deviation?It is a measurement of statistical data dispersion. The degree to which the value varies is known as dispersion.
Given data;
Mean,[tex]\rm\bar x = 84[/tex]
Standard deviation,[tex]\sigma= 2[/tex]
No of sample,n=64
The mean height is foundd as;
[tex]\rightarrow \bar x \pm \frac{\sigma}{\sqrt n} \times Z \\\\ \rightarrow \84 \pm\frac{2}{8} \times 1.96 \\\\ \rightarrow 83.51,84.49[/tex]
84.6>84.49
The value of the mean height for the given data will be 84.6 ft.
Hence option A is correct.
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the ratio of boys to girls in mrs.cunnginghams class is 2 to 3. there are 18 girls in the class. what is the total number of students in mrs.cunninhams class
Answers
Answer:
The total number of students that are in Ms. Cunningham's class is 30 students
Step-by-step explanation:
the number of boys are represented by X
18 divided by 3 is 6
2 times 6 is 12.
12 plus 18 is 30.
Total number of students = 12 + 18 = 30
An orange cone has a exact volume of 120π ft³. What is the height of the cone if the radius is 6ft?
Answers
Answer:
10 ft
Step-by-step explanation:
Given:
Radius ⇒ 6 feetFormula of cone ⇒ V = 1/3πr²hPlug in the values given:
120π=1/3π(6²)hCancel π from both sides and simplify:
120 = 1/3 36h120 = 12hAnswer:
Height = 10The height of the cone if the radius is 6ft is,
⇒ h = 3.18 feet
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
An orange cone has a exact volume of 120π ft³.
And, The radius = 6 feet
Now, We know that;
Volume of cone = πr²h/ 3
Hence, We get;
⇒ 120 = 3.14 × 6² × h / 3
⇒ 120 = 3.14 × 12h
⇒ 120 = 37.68h
⇒ h = 3.18 feet
Thus, The height of the cone if the radius is 6ft is,
⇒ h = 3.18 feet
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Which two sets of events are most likely independent?
O A. Event A: A student makes the drama team.
Event B. The student likes macaroni and cheese.
B. Event A: A student gets enough sleep.
Event B. The student is alert in class.
C. Event A: A car is blue.
Event B. The car lasts over 20 years.
D. Event A: A woman buys cat toys.
Event B: The woman has a cat.
Answers
Answer:
A - Event A: A student makes the drama team. / Event B. The student likes macaroni and cheese.C - Event A: A car is blue. / Event B. The car lasts over 20 years.y = 2x -1, y = 3x + 5 solve
Answers
Answer:
the answer is x= -6 and y= -13
A water-walking ball has a volume of approximately 4.19 m 3 . What is the radius, r, of the ball?
Answers
[tex]~~~~~~V = 4.19 \\\\\implies \dfrac{4}3 \pi r^3 = 4.19\\\\\implies r^3 = \dfrac{4.19 \times 3}{4\pi}\\\\\implies r^3 = \dfrac{12.57}{4\pi} \\\\\implies r = \sqrt[3]{\dfrac{12.57}{4\pi}}\\\\\implies r= 1.00009..\\\\\implies r \approx 1~ m[/tex]
The value of radius of water-walking ball is,
⇒ r = 1.003 m
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A water-walking ball has a volume of approximately 4.19 m³.
Since, We know that;
Volume of sphere = 4/3πr³
Hence, We get;
⇒ 4.19 = 4/3 × 3.14 × r³
⇒ r³ = 1.001
⇒ r = 1.003 m
Thus, The value of radius of water-walking ball is,
⇒ r = 1.003 m
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Is it possible to rewrite any proof that uses the AAS Congruence Theorem as a proof that uses the ASA Congruence Theorem? Explain your reasoning.
Answers
Answer: Yes
Step-by-step explanation:
If you were to use AAS, you could prove the third pair of angles congruent by using the fact that the sum of the measures of the angles of a triangle is 180 degrees, and since you have two of the angles, you can solve for the third pair of angles, which would be congruent.
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answers
Answer:
6.2
Step-by-step explanation:
I don't think you need my explanation anymore.
5) Dane makes a budget for her birthday, she plans to
spend 3/36 Cthree misty-sixths) of her budget on a
cake that costs $24.00. How many much is her total
budget for the birthday.
Answers
Answer:
Step-by-step explanation:
She plans to spend 3/36 of her budget on a cake ($24.00).
Because $24.00 is 3/36 of the total budget, you divide 24 by 3/36.
[tex]\frac{24}{1}[/tex] ÷ [tex]\frac{3}{36}[/tex]
Then, multiply the reciprocal of 3/36, which is 36/3.
= [tex]\frac{24}{1}[/tex] × [tex]\frac{36}{3}[/tex]
= [tex]\frac{864}{3}[/tex] = 288
So, Dane's total budget for the birthday is $288.
Hope this helped !
Kira and Bill are collecting clothes for a clothing drive. Bill collected 3/5 as many clothes as Kira did. If Kira collected 1/3 of a bag of clothes, how many bags of clothes did Bill collect?
Answers
Answer:
1/5
Step-by-step explanation:
because 3/5*1/3=1/5
Please mark as brainliest
Help!!!
I need help
Answers
Answer:
x = 109°
Step-by-step explanation:
x = 64+45 = 109°
it looks simple, but that's the answer
11x + 14y = 65
-11x – 8y = -41
solve for x
Answers
Answer:
[tex](x \: y)= ( \frac{379}{107} \: \frac{199}{107} )[/tex]
Step-by-step explanation:
i hope it's to help
Joanna draws a scale model of a rectangular table for a carpenter to build. On her drawing, \frac{3}{4} 4
3
of an inch represents 11 foot. In the drawing, the table is 7\frac{1}{2}7 2
1
long. How long, in feet, will the table be when the carpenter builds it?
Answers
The length of the rectangular table the carpenter builds given the scale is 110 feet
What is the length of the drawing?A scale drawing is a smaller version of a larger image. The scale drawing is usually reduced at a constant dimension
Length of the table = (11 x 7 1/2) ÷ 3/4
(11 x 15/2) x 4/3 = 660/6 = 110 feet
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The product of two integers is 72.
If one integer is 9 what is the other integer?
Answers
Answer:
8
Step-by-step explanation:
a*b=72
a=9
9*b=72
b=72/9
b=8
HELP I NEED IT
NO LINKS!!
Answers
Answer:
option c
Step-by-step explanation:
Area of triangle:
a = 2 and c = 3
base = 6ac²
= 6 *2 * 3 * 3
= 108 cm
height = base + 3
= 108 + 3
= 111 cm
[tex]\boxed{\text{Area of a triangle = $ \dfrac{1}{2}*base*height$}}[/tex]
[tex]=\dfrac{1}{2}*108*111\\\\\\= 54*111\\\\=5994 \ cm^{2}[/tex]
Answer:
5,994 cm²
Step-by-step explanation:
Formula
Area of the triangle = 1/2 x base length x heightGiven
Base length = 6ac² cmHeight = 6ac² + 3 cma = 2c = 3Solving
Area = 1/2 x 6ac² x (6ac² + 3)Area = 1/2 x 36a²c⁴ + 18ac²Area = 9ac² (2ac² + 1)Substitute the values of a and c⇒ Area = 9 x 2 x 3² (2 x 2 x 3² + 1)⇒ Area = 162 (36 + 1)⇒ Area = 162 x 37⇒ Area = 5,994 cm²A) not periodic
B) periodic with a period of 6 and an amplitude of about 12.5
C) periodic with a period of 6 and an amplitude of about 25
D) periodic with a period of 12 and an amplitude of about 12.5
Answers
Explanation:
Plot all of the data points on the same xy grid as shown below.
I used GeoGebra to make the diagram.
The points seem to be randomly scattered about without any apparent pattern (though there might be some symmetry going on). The data does not seem to be periodic.
Periodic data repeats itself at some point in time, for example like a waveform pattern, which unfortunately these data points don't reflect.
Pls help I’ll give 30 points
Answers
Answer:
C
Step-by-step explanation:
30, 32, 33, 33, 34, 37, 39, 41, 43, 47, 49, 52, 53, 57
Middle numbers: 39 + 40 = 80/2 = 40
Highest number: 57
Lowest number: 30
I hope this helps!
A plant has a height of 8 1/4 inches what is the height of the plant after it grows 1 7/8 inches?
Answers
Answer:
18
Step-by-step explanation:
8 2/8+ 1 7/8=9 11/8= 10 3/8
Is the equation y=5x+1 a linear equation? Explain.
Answers
Answer:
Yes
Step-by-step explanation:
Linear equations are equations in which the highest power of the equation is always 1, they look like a straight line when put on graph and they usually have this form: y = ax + b
y = 5x + 1 is a good example of a linear equation but they may also look like: y = 2x (b = 0) or y = x + 3 (a = 1).
help me find m and n please
Answers
Answer:
n is 68 and m is 44
Step-by-step explanation:
Helppp plssssss!!!!!!
Answers
Because the triangle DEF only corresponds in triangle XYZ so it means that EDF will only correspond in YXZ.
can someone please help me with this question
Answers
Answer: I think its D
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answers:
Class C has the least variabilityClass B has the highest scores on average========================================================
Explanation:
The variability can be measured using the range. It's to measure how spread out the data set is. The smaller the range, the less the variability. The smallest of which is found in class C.The average can be measured by the arithmetic mean. We go for the largest mean, which in this case is class B.Answer:
Class C has least variability and Class B has highest variability.
I think it will help you
Range= Large- Small Data
567.3
What is the value of the digit 5 in this number?
Answers
Answer:
hundredth place
Step-by-step explanation:
because ummmm yeah
pls help will give brainliest
i need this by 12
Answers
alternate interior angle theorem
reflexive property of congruence
alternate interior angle theorem
The complete table is,
3) Definition of parallelogram.
4) Alternate interior angle theorem.
5) Reflexive property of congruence.
6) By SAS congruency theorem.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
⇒ ABCD is a parallelogram.
Now, We have complete table is,
Statements Reasons
1) AD || BC Definition of parallelogram.
2) ∠ADB ≅ ∠CBD Alternate interior angle theorem.
3) AB || CD Definition of parallelogram.
4) ∠ABD ≅ ∠CDB Alternate interior angle theorem.
5) DB ≅ DB Reflexive property of congruence.
6) ΔABD ≅ ΔCDB By SAS congruency theorem.
Thus, The complete table is,
3) Definition of parallelogram.
4) Alternate interior angle theorem.
5) Reflexive property of congruence.
6) By SAS congruency theorem.
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See pictures attached below. Will give Brainliest!
Answers
Question 1 Answer:
Aunt 1 and Grandma 1 would fill gift bags.
Mom and Aunt 2 would make centerpieces.
You and Grandma 2 would blow up balloons.
Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.
Question 2 Answer:
We use algebra and our previous pairings to determine the length of each task.
Gifts Bags --> 6/7 hours
x = time together
[tex]\frac{1}{x}[/tex] = rate of completion
Aunt 1 = [tex]\frac{1}{1.5}[/tex] Grandma 1 = [tex]\frac{1}{2}[/tex]
[tex]\frac{2}{3} +\frac{1}{2} = \frac{1}{x}[/tex]
[tex]\frac{7}{6} = \frac{1}{x}[/tex]
[tex]x = \frac{6}{7}[/tex]
Centerpieces --> 7/4 hours
x = time together [tex]\frac{1}{x}[/tex] = rate of completion
Mom = [tex]\frac{1}{3.5}[/tex] Aunt 2 = [tex]\frac{1}{3.5}[/tex]
[tex]\frac{2}{7} + \frac{2}{7} = \frac{1}{x}[/tex]
[tex]\frac{4}{7} = \frac{1}{x}[/tex]
[tex]x = \frac{7}{4}[/tex]
Balloons --> 15/16 hours
x = time together [tex]\frac{1}{x}[/tex] = rate of completion
You = [tex]\frac{1}{1.5}[/tex] Grandma 2 = [tex]\frac{1}{2.5}[/tex]
[tex]\frac{2}{3} + \frac{2}{5} = \frac{1}{x}[/tex]
[tex]\frac{16}{15} = \frac{1}{x}[/tex]
[tex]x = \frac{15}{16}[/tex]
Shortest amount of time to complete all tasks is:
[tex]\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}[/tex] ≈ 3.54 hours
Converting hours to hours and minutes --> 3 hours 32 minutes
Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.
A total of 640 people voted in an election. The circle graph shows the results.
A.) How many people voted for Gordon? Show your work
B.) How many people voted for Smith or Fishman? Show your work
Answers
.35 x 640= 224
B. 96 people voted for smith
.15 x 640=96
256 people voted for fisherman
.40 x 640= 256
Solve for x to the nearest tenth.
Answers
Answer: 6.9
Step-by-step explanation:
Solve for the hypotenuse in the smaller triangle 5.83
Solve for x²= 9² - 5.83² = 81 - 33.99
X² = 47.01
Find the volume of a cone with a height of 6yd and a base radius of 4yd.
Use the value 3.14 for [tex]\pi[/tex] , and do not do any rounding.
Be sure to include the correct unit in your answer.
Answers
Formula : V = πr²h/3
Fill in the values.
(3.14)(4)^(2)(6/3)
V=100.48 yd^3
