Rounded to the nearest hundredth the volume of the composite figure is:
1308 33 cubic millimeters
Explanation:Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:
[tex]V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height[/tex]
While the volume of half a sphere is:
[tex]V_{hs}=\frac{2}{3}\pi r^3[/tex]
Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:
[tex]V_{s}=\frac{4}{3}\pi r^3[/tex]
Then, the composite figure is:
[tex]V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)[/tex]
The radius of the cylinder is the same of the radius of each half sphere. So:
[tex]r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}[/tex]
Which expression is equivalent to StartRoot StartFraction 128 x Superscript 5 Baseline y Superscript 6 Baseline Over 2 x Superscript 7 Baseline y Superscript 5 Baseline EndFraction EndRoot? Assume x Greater-than 0 and y > 0. Plz help
Answer:
D
Step-by-step explanation:
I did the work its D on edge.
To simplify the given expression, we first simplify the fraction within the square root, performing the division of similar bases by subtracting exponents. Then, we take the square root of 64 to get 8 and obtain the final simplified expression: 8/x^2y.
Explanation:To solve the specific expression, equivalent to StartRoot StartFraction 128 x Superscript 5 Baseline y Superscript 6 Baseline Over 2 x Superscript 7 Baseline y Superscript 5 Baseline EndFraction EndRoot, we will start by simplification inside the square root bracket. Perform the division with the fractions first. As a general rule, when dividing powers with the same base, we subtract the powers.
We'll start by simplifying 128/2, which is 64. For x Superscript 5 Baseline / x Superscript 7 Baseline, subtract the exponents, which gives us x to the power of -2 (since 5-7 is -2). For y Superscript 6 Baseline / y Superscript 5 Baseline, we also subtract the exponents, which results in y to the power of 1, or simply y.
Hence, the simplified version of the fraction inside the square root is 64x^-2y. Finally, since the square root of 64 is 8, and the square root of any variable raised to the negative power is the reciprocal of the variable, our final simplified expression is 8/x^2y.
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A construction manager weighs a bundle of 9 identical bricks and a 7 pound concrete block. The bundle weighs 30 pounds.
Answer:
30 = 9x + 7
Step-by-step explanation:
The total weight of the bundle = 30 pounds
The weight of the bricks = x pounds
But he carried 9 bricks = 9x pounds
He also carried additional 7 pounds of concrete block.
An equation to show the total weight he carried is
30 pounds = (9x + 7) pounds
Since 9x represents the total weight of the bricks he carried
7 represents the weight of the concrete block
And 30 pounds represents the total weight of everything he carried.
An item is regularly priced at $85. It is now priced at a discount of 60% off the regular price. What is the price now?
Answer:
34$
Step-by-step explanation:
plz make brainliest
cross products question, 3/5 over x multiplied by 12 over 20
what is x
Answer:
9/25x
Step-by-step explanation:
3/5/x ×12/20
3/5×1/x ×12/20
36/100x
Divide both by 4
9/25x
The exact value of x cannot be determined because we don't know what the equation is equated to
So we will have to leave the answer as 9/25x
Here is how Lydia found the product 4/5 x 10. Use the model given to show that Lydia’s answer is correct.
-[tex]\frac{10}{1}[/tex]Answer:
lydia's answer is correct.
Step-by-step explanation
4/5 X 10=8 because
[tex]\frac{4}{5}[/tex] X [tex]\frac{10}{1}[/tex] -->we do the denominator first so 5 x 1 = 5 so now it's
[tex]\frac{4}{5}[/tex] [tex]\frac{10}{5}[/tex] so 4 X 10= 2 x 5(we replace 10 with that ) over 5 and the you will be left with 4 x 2 over 5 that is because 5 and 5 canceled out so
now you're left with this 4 x 2 = 8 so 8 is you final answer without the fraction :) hope this helps
Find the slope of the line that goes through the points
(12,-14) and (3,-12)
Slope, m=
Answer:
-2/9
Step-by-step explanation:
The slope is found by
m= (y2-y1)/(x2-x1)
= (-12- -14)/(3-12)
=(-12+14)/(3-12)
=2/-9
= -2/9
In November, Mr. Lee’s students read 50 books. In December, they read 40 books.
What is the percent increase or decrease in the number of books they read?
Answer:
20% decrease
Step-by-step explanation:
Start by dividing 40 by 50.
40/50 = 0.8
0.8 is the decimal form of 80%. So now we know that 40 is 80% of 50. This means that the remaining 20% is the difference between the books read in November and December.
F(x) = 5x -3 solve for f(5)
Answer:
22
Step-by-step explanation:
f(x)=5x-3
f(x)=5(5)-3
f(x)=25-3
f(x)=22
Answer:
[tex]f(5)=22[/tex]
Step-by-step explanation:
since the function is f(x), then you would plug in the 5 since that is x value that is being given then it would be [tex]f(5)=5(5)-3[/tex]. from there multiply 5 and 5 to get 25 then subtract 3 to get 22.
A scientist needs 120 ML of a 20% acid solution for an experiment. The lab has available at 10% solution and a 25% solution. How many milliliters of the 10% solution and how many milliliters of a 25% solution should the scientist mix to make the 20% solution?
Answer:
40 milliliters of the 10% solution and 80 milliliters of the 25% solution the scientist should mix to make the 20% solution.
Step-by-step explanation:
Given:
A scientist needs 120 ML of a 20% acid solution for an experiment. The lab has available at 10% solution and a 25% solution.
Now, to find the milliliters of 10% solution and 25% solution to make 20% solution:
Let the 10% solution be [tex]x.[/tex]
And let the 25% solution be [tex]y.[/tex]
So, total milliliters of solution are:
[tex]x+y=120\\\\x=120-y\ \ \ \ .....(1)[/tex]
Now, to get the milliliters of 10% solution and 25% solution to make 20% solution we solve the equation:
[tex]10\%\ of\ x+25\%\ of\ y=20\%\ of\ 120\\\\\frac{10}{100} \times x+\frac{25}{100} \times y=\frac{20}{100} \times 120\\\\0.10x+0.25y=24[/tex]
Substituting the value of [tex]x[/tex] from equation (1) we get:
[tex]0.10(120-y)+0.25y=24\\\\12-0.10y+0.25y=24\\\\12+0.15y=24[/tex]
Subtracting both sides by 12 we get:
[tex]0.15y=12[/tex]
Dividing both sides by 0.15 we get:
[tex]y=80.[/tex]
Thus, the 25% solution is 80 ml.
Now, substituting the value of [tex]y[/tex] in equation (1) we get:
[tex]x=120-y\\\\x=120-80\\\\x=40\ ml.[/tex]
Hence, the 10% solution is 40 ml.
Therefore, 40 milliliters of the 10% solution and 80 milliliters of the 25% solution the scientist should mix to make the 20% solution.
A storage tank is 20% filled with water. The storage tank holds, 1,160 gallons of water. How many gallons of water are needed to fill the storage tank to the top?
The storage tank requires an additional 4,640 gallons of water to be filled to the top, calculated by finding the total tank capacity using the 20% already filled and subtracting the current water volume.
The student asks about the amount of water needed to fill a storage tank to the top given that the tank is already 20% full with 1,160 gallons of water. To find out how much more water is required, we first need to establish the total capacity of the tank.
Since 1,160 gallons represent 20% of the tank's capacity, we can calculate the full capacity by dividing the amount of water currently in the tank by 0.2. After finding that number, we need to subtract 1,160 from the total capacity to find the amount of water needed to fill the tank.
Calculation:
1. Calculate the full capacity of the tank:
Total capacity = 1,160 gallons / 0.20 = 5,800 gallons.
2. Calculate the gallons of water needed to fill the tank:
Gallons needed = Total capacity - Current amount of water
Gallons needed = 5,800 gallons - 1,160 gallons = 4,640 gallons.
Therefore, 4,640 gallons of water are needed to fill the storage tank to the top.
Can someone help with this? My daughter needs help with these.
Answer:
the missing side length for the shape with a perimeter of 43 m. is 12
Step-by-step explanation:
the missing side length for the shape with a perimeter of 62 ft is 16
the missing side length for the shape with a perimeter of 33 cm is 5
the missing side length for the shape with a perimeter of 68 in is 24
What is the sum of the first 20 terms of a finite geometric series where a1 =3 and r = 3/2
Answer: The answer should be 6
Step-by-step explanation:
Ella ate half of her gummy bears before adding thirteen more to the bowl.if she now has 25 gummy bears.how many did she start with??
she ate half before adding 13 so half was 12 which means she started with 24 bear gummies
will give brainiest if answered first plz helppp!!!!
Answer:
The answer is b
Step-by-step explanation:
The answer is B.
Since I cant post it until I have 20 letters, lets start a conversation.
Hello. How is your day/night going so far?
5. In the figure, BE||CD. Solve for x. Show your work.
Answer:
x = 15
Step-by-step explanation:
There are theorems regarding Property of Similar polygons.
Corresponding sides are in proportion.
triangle ABE is similar to triangle ACD
so
AB:BC = AE: ED
x:10 = 9:6
(x/10) = (9/6)
x = 10*9/6 = 5*3 = 15
Question 1(Multiple Choice Worth 3 points)
(08.05)Theresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests. What is the lowest score she can get on the fifth test and still finish with an average score of 90 points?
96 points
97 points
98 points
99 points
Answer: D) 99 Points
Step-by-step explanation: Theresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests
Therefore the totals points are 351
351 is her total score for 4 tests, if she gets an average score of 90 on her fifth test then all we have to do is:
5 x 90 = 450 (The 5 being her fifth test)
450-351 = 99
Option D
A chorus has twelve music stands for thirty singers. What is an equivalent ratio of music stands to singers?
Answer:
2:5
Step-by-step explanation:
12:30 would be 40% then simplify by dividing each number by 6.
Answer:
2.5
Step-by-step explanation:
ON THE SMARTBOARD, THE
MATH TEACHER DREW A
RECTANGLE WITH A PERIMETER
The
OF 406 cm. THE LENGTH OF THE
RECTANGLE IS 7cm LONGER
THAN THE WIDTH. FIND THE
DIMENSIONS OF THE RECTANGLE.
The length of rectangle is 105 cm and width is 98 cm.
Step-by-step explanation:
Given,
Perimeter of rectangle = 406 cm
Let,
w be the width of rectangle
Length of rectangle = w+7
We know that
Perimeter of rectangle = 2(Length + Width)
[tex]406 = 2(w+7+w)\\406 = 2(2w+7)\\406 = 4w+14\\406-14 = 4w\\392=4w\\4w=392[/tex]
Dividing both sides by 4
[tex]\frac{4w}{4}=\frac{392}{4}\\w=98[/tex]
Width of rectangle = 98 cm
Length of rectangle = 98+7 = 105 cm
The length of rectangle is 105 cm and width is 98 cm.
The graph shows f(x) = |x – h| + k. What is the value of h?
Answer:h=1
Step-by-step explanation:
A
Step-by-step explanation:
edge2021 Algebra
Use elimination to solve the system of equation
4x+y=-2
3x+2y=6
Answer: x= -2,y=6
Step-by-step explanation:
4x+y= -2......equation 1
3x+2y=6.....equ2
Y= -2-4x........equation 3
Substitute equation 3 into 2
3x+2(-2-4x)=6
Open the bracket
3x+(-4-8x)=6
3x-4-8x=6
3x-8x=6+4
-5x=10
X= 10/-5
X= -2
Substitute for x in equation 1
4x+y= -2
4(-2)+y= -2
-8+y= -2
Y= -2+8
Y=6
Therefore, x= -2 & y=6
The expanded form 700,000 + 10,000 + 3,000 + 9 represents the whole number
Answer:
713,009
Step-by-step explanation:
Nadia says the hypotenuse of the right triangle has a length of 73 because the Pythagorean theorem states that (28+45)squared equals to 73squared. Which describes her solution?
Answer: Her solution is incorrect. The hypotenuse is 53 units
Step-by-step explanation: The error occurred when she quoted the Pythagorean theorem. She added up both sides and squared them and made the answer equal to the square of the hypotenuse. She was supposed to have squared them first, before adding up.
The Pythagorean (or Pythagoras) theorem states that the sum of the squares of two sides of a right angled triangle equals the square of the hypotenuse of the triangle. That is, in triangle ABC, if the hypotenuse is given as line AC, the Pythagoras theorem states that
AC^2 = AB^2 + BC^2
Where AC is the hypotenuse and AB and BC are the other two sides.
In Nadia’s solution, if the hypotenuse is given as 73, and the other two sides are 28 and 45, then the Pythagorean theorem properly expressed would be as follows;
73^2 = 28^2 + 45^2
5329 = 784 + 2025
5329 ≠ 2809
As we have determined, writing out the expression as
73^2 = (28 + 45)^2 is very incorrect as this is not the Pythagorean theorem and of course, the triangle cannot have 73 as its hypotenuse as we have determined by properly writing out the Pythagorean theorem.
The correct solution is as follows;
AC^2 = AB^2 + BC^2
AC^2 = 28^2 + 45^2
AC^2 = 784 + 2025
AC^2 = 2809
Add the square root sign to both sides of the equation
AC = 53
Therefore, the hypotenuse is 53 units
It would be C, because when you find the length using th pythagreon theorem... you can begin to see the relationship through all of the figures and side lengths... Make sense?
In ΔDEF, d = 92 cm, e = 42 cm and ∠F=141°. Find the length of f, to the nearest centimeter.
Answer:
f=127 cm
Step-by-step explanation:
Law of Cosine:
x squared=92 squared+42 squared-2(92)(42)(cos 141)
x squared =8464+1764-7728(cos 141)
x=127 cm
Please answer and tell me how you did it. Unfortunately, I would give more points but there's still more questions I need.
Answer:
y=3x
Step-by-step explanation:
if you look 3*3=9 5*3=15 8*3=24 and 10*3=30 so they are taking x*3
Answer:
Y=3x
Step-by-step explanation:
The way a function table works is how x has something done to it to equal y. So if x =4, and y=16
You could formulate the equation y= 4x.
So if we look at the patterns
3 to 9
5 to 15
8 to 24
10 to 30
Y is equal to x times 3.
3(x)·3=9(y)
3(x)=y
3x=y
The equation would be 3x=y
Find the area of the shape shown below, 7.5, 2.5, 2.5
Whats the midpoint of (3,-8) and (5,-2.5)
What expression represents the value of v?
1.) v = [tex]\sqrt{zy}[/tex]
2.) v = [tex]\sqrt{wz}[/tex]
3.) v = [tex]\sqrt{w(w+z)}[/tex]
4.) v = [tex]\sqrt{z(w+z)}[/tex]
I know for a fact that 1 is not the answer. See the attached image for the triangle in question.
The expression represent the value of v is :[tex]v=\sqrt{z(w+z)}[/tex]
The correct option is D
We have the attachment.
As shown, when deconstructing the largest right triangle, we got two similar triangles.
The corresponding sides of similar are proportional. Therefore, we can write the following proportion:
v/ w+ z = z/v
By Cross - multiply, we get:
z(w + z) = [tex]v^2[/tex]
And taking the square root of both sides, we get:
[tex]v=\sqrt{z(w+z)}[/tex]
So, The correct option is D
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Making late payments helps maintain a positive credit history(True or false?
Answer:
no
Step-by-step explanation:
Answer: false
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPP 29PTS AND BRAINLIEST A box at the post office has dimensions as shown below. A rectangular prism with a length of 12 inches, width of 8 inches, and height of 16 inches. What is the volume of the box? A.1,304 B.1,536 C.1,636 D.2,304
Answer:
b)1536
Step-by-step explanation:
We find the volume of a rectangular prism by using the formula Bh
or l x w x h
8x12x16=1536
brainliest plz i need one more
Answer:
B.1,536
Explanation:
length x width x height = v
12 x 8 x height = 96 x height
12 x 8 x 16 = 1536 or v
1=1/8+x+2/8
Pls help and hurry
Answer:
x = 5/8 plz give branliest
Step-by-step explanation:
Using the equation,[tex]1 = \frac{1}{8} + x + \frac{2}{8}[/tex]
simplify 1 = x + [tex]\frac{3}{8}[/tex]
1 - [tex]\frac{3}{8}[/tex] = x
[tex]\frac{5}{8}[/tex] = x
Answer:
x = 5/8 or 0.625
Step-by-step explanation:
Rewrite the equation as 18+x+28=118+x+28=1.
18+x+28=118+x+28=1
Simplify 18+x+2818+x+28.
Tap for more steps...
x+38=1x+38=1
Move all terms not containing xx to the right side of the equation.
Tap for more steps...
x=58x=58
The result can be shown in multiple forms.
Exact Form:
x=58x=58
Decimal Form:
x=0.625