Answers
Answer:
1,590.7 cm^3
Step-by-step explanation:
First, separate this shape into two smaller shapes you can easily find the volume of. In this example, you can separate this figure into a cone and a half-sphere.
Find the volume of the cone using the formula: V=πr^2(h/3). The radius is 7 because 14cm is the diameter, and 17cm is the height. When you solve, you get 872.32 for the volume of this cone.
Then, find the volume of the half-sphere. The volume of a sphere can be found with the formula: V=4/3πr^3. The radius is, again, 7. Now divide this value in half because you only want to find the volume of a half-sphere. You should get 718.38 cm.
Now add the two volumes together to get 1,590.7 cubed centimeters.
Step-by-step explanation:
volume of hemisphere
given
r=d/2=14/2=7cm
V=2/3πr^3
V=2/3×π×7^3
V=2/3×π×343cm^3
V=2/3×1077.56
V=718.37cm^3
volume of cone
given
r=7cm
h=17cm
V=πr^2×h/3
V=π×7^2×17cm/3
V=π×49cm^2×17cm/3
V=π×833cm^3/3
V=2616.94/3
V=872.31cm^3
Total volume=718.37cm^3+872.31cm^3
=1590.68cm^3
Related Questions
If you wanted to safely climb a 50-foot wall, what’s the shortest ladder you’d be willing to use? Explain.
Answers
Answer: 51.54 ft
Step-by-step explanation:
The ladder should be 1 feet away from the wall by each 4-feet that the wall rises, so if we have a 50 ft wall, the distance between the bottom of the ladder and the wall must be:
50ft/4 = 12.5ft.
Now we know the cathetus of our ladder, 12.5ft and 50ft, let's find the hypotenuse, that is:
H = √(12.5^2 + 50^2) = 51.54 feet.
Which is also the lenght of our ladder, so the shortest ladder to climb safely a 50 ft wall is 51.54 ft long.
The factory makes 400 cars per day if the workday is eight hours long what is the hourly rate at which cars
Answers
Answer:
50
Step-by-step explanation:
Answer: The answer it’s 50. You need to divided the amount of cars and the hours. Therefore you’ll need to divide 400 and 8 which will then give you 50.
the hawks have won 12 games this season, which is 60% of the season how many games did they play
Answers
Answer:
20 games
Step-by-step explanation:
Click on all the values for n that make this inequality true
Answers
In a certain town, the ratio of left-handed people to right-handed people 2:9 how many right-handed people would you expect to find in a group of 1320000 people?
Answers
Answer:
We are expected to find 1,080,000 right handed people in that group of people
Step-by-step explanation:
In this question, we are given the ratio of right handed to left handed people and we are asked to calculate the number of right handed people we can find in a given population.
First, we check the ratio given.
The ratio is said to be that of left handed individuals to right handed individuals and this sits at 2 to 9.
Thus out of 1,320,000 people , the number of right handed individuals will be ;
9/(2+9) * 1,320,000
9/11 * 1,320,000
= 1,080,000 people
Which red triangle shows a 90° counterclockwise rotation of the blue triangle? Check all that apply. On a coordinate plane, a blue triangle has points (negative 1, 4), (negative 5, 4), (negative 1, 1). A red triangle has points (negative 4, negative 1), (negative 1, negative 1), (negative 4, negative 5). On a coordinate plane, a blue triangle has points (1, 1), (4, 5), (4, 1). A red triangle has points (negative 1, 1), (negative 1, 4), (negative 5, 4). On a coordinate plane, a blue triangle has points (0, 1), (4, 4), (4, 1). A red triangle has points (negative 4, 1), (negative 4, 4), (0, 1). On a coordinate plane, a blue triangle has points (negative 5, 4), (negative 1, 4), (negative 1), 1). A red triangle has points (1, 1), (4, 1), (4, 5). On a coordinate plane, a blue triangle has points (negative 2, 5), (4, 5), (4, 1). A red triangle has points (negative 1, 4), (negative 5, 4), (negative 5, negative 2).
Answers
Question:
1) Blue triangle points; (-1, 4), (-5, 4), and (-1, 1)
Red triangle points; (-4, -1), (-1, -1). and (-4, -5)
2) Blue triangle points (1, 1), (4, 5), (4, 1)
Red triangle points; (-1, 1), (-1, 4). and (-5, 4)
3) Blue triangle points (0, 1), (4, 4), (4, 1)
Red triangle points; (-4, 1), (-4, 4). and (0, 1)
4) Blue triangle points (-5, 4), (-1, 4), (-1, 1)
Red triangle points; (1, 1), (4, 1). and (4, 5)
5) Blue triangle points (-2, 5), (4, 5), (4, 1)
Red triangle points; (-1, 4), (-5, 4). and (-5, -2)
Answer:
The correctly rotated red triangles are those of (1), (2), and (5)
Step-by-step explanation:
In a 90° counterclockwise rotation, every x and y points of the original triangle are switched while the y is turned negative, as shown in the following equation;
(x, y) to (-y, x)
Therefore, the triangles that undergo a 90° counterclockwise rotation are as follows;
1) Blue triangle points; (-1, 4), (-5, 4), and (-1, 1)
Red triangle points; (-4, -1), (-1, -1). and (-4, -5)
(-1, 4) → (-4, -1)
(-5, 4) → (-4, -5)
(-1, 1) → (-1, -1)
Correctly rotated 90° counterclockwise
2) Blue triangle points (1, 1), (4, 5), (4, 1)
Red triangle points; (-1, 1), (-1, 4). and (-5, 4)
(1, 1) → (-1, 1)
(4, 5) → (-5, 4)
(4, 1) → (-1, 4)
Correctly rotated 90° counterclockwise
3) Blue triangle points (0, 1), (4, 4), (4, 1)
Red triangle points; (-4, 1), (-4, 4). and (0, 1)
(0, 1) → (0, 1) ≠ (-1, 0)
(4, 4) → (-4, 4)
(4, 1) → (-4, 1)
Not correctly rotated 90° counterclockwise
4) Blue triangle points (-5, 4), (-1, 4), (-1, 1)
Red triangle points; (1, 1), (4, 1). and (4, 5)
(-5, 4) → (4, 5) ≠ (-4, -5)
(-1, 4) → (4, 1)
(-1, 1) → (1, 1)
Not correctly rotated 90° counterclockwise
5) Blue triangle points (-2, 5), (4, 5), (4, 1)
Red triangle points; (-1, 4), (-5, 4). and (-5, -2)
(-2, 5) → (-5, -2)
(4, 5) → (-5, 4)
(4, 1) → (-1, 4)
Correctly rotated 90° counterclockwise.
Answer:
1,2,5
Step-by-step explanation:
Brainliest question Please help me now plz
Answers
Side b = 11.69522
Side c = 4
Angle ∠A = 70° = 1.22173 rad = 7/18π
Angle ∠B = 90° = 1.5708 rad = π/2
Angle ∠C = 20° = 0.34907 rad = π/9
Rectangle A is a scale drawing of Rectangle B and has 25% of its area. If rectangle A has side lengths of 4 cm and 5 cm , what are the side lengths of rectangle B ?
Answers
Answer:
8 cm and 10 cm
Step-by-step explanation:
Hello, I can help you with this.
Step 1
According to the question there are two rectangles A and B,
Rectangle A is a scale drawing of Rectangle B and has 25% of its area
in other words
[tex]Area_{A}=0.25*Area_{B} (Equation\ 1)\\[/tex]
Step 2
Let
Rectangle A
length (1)= 4 cm
length (2)= 5 cm
[tex]Area_{A}=4\ cm * 5\ cm\\Area_{A}=20\ cm^{2}[/tex]
put this value into equation 1
[tex]Area_{A}=0.25*Area_{B} (Equation\ 1)\\\\20\ cm^{2} =0.25*Area_{B} \\divide\ each\ side\ by\ 0.25\\\frac{20\ cm^{2} }{0.25}=\frac{0.25}{0.25}*Area_{B}\\ Area_{B}=80\ cm^{2}[/tex]
Now, we know the area of rectangle B, to know its length we need to formule other equation
Step 3
[tex]Area_{B}=80\ cm^{2}\\length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\[/tex]
the ratio between the lengths must be constant, so the ratio of A must be equal to ratio in B, then
[tex]\frac{length(1A)}{length(2A)}=\frac{length(1B)}{length(2B)} \\\\\\frac{4}{5}= \frac{length(1B)}{length(2B)}\\0.8=\frac{length(1B)}{length(2B)}\\length(1B)=0.8*length(2B) (Equation 3)[/tex]
Step three
using Eq 1 and Eq 2 find the lengths
put the value of length(1B) into equation (2)
[tex]length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\\(0.8*length(2B)) (*length (2B)=80\ cm^{2} \\\\0.8*(length (2B))^{2} =80\ cm^{2}\\(length (2B))^{2} =\frac{80\ cm^{2}}{0.8} \\(length (2B))^{2}=100\\\sqrt{(length (2B))^{2}}=\sqrt{100\ cm^{2}} \\ length (2B)=10\ cm[/tex]
Now, put the value of length(2B) into equation 3 to know length (1B)
[tex]length(1B)=0.8*length(2B)\\length(1B)=0.8*10\ cm\\length(1B)=8 cm[/tex]
I really hope this helps you, have a great day.
Miranda and Savannah are excited that a new store just opened in town! They go together the first day it opens!
Each time Miranda goes to the store she plans to spend \$7dollar sign, 7, and each time Savannah goes to the store she plans to spend \$9 dollar sign, 9.
A few weeks from now, Miranda and Savannah are surprised to find out that they have spent the exact same total amount of money at the store.
What is the least possible number of times that Miranda has been to the store?
Answers
Answer:
9
Step-by-step explanation:
Given that
Spending done by Miranda each time while go to the store = $7
Spending done by Savannah each time while go to the store = $9
For computing the least possible number we need to take the least common multiple of $7 and $9 i.e to be $63
Now the lease possible number for Miranda has been to the store is
[tex]= \frac{ Lease\ common\ multiple}{Spending\ done \ by\ miranda}[/tex]
[tex]= \frac{\$63}{\$7}[/tex]
= 9
Or we can do one thing as we know that 7 is a prime number which is not cut by any other number except one while the 9 factor could be [tex]= 3\times 3[/tex]
Therefore the 9 times would be considered
How many terms are in the expression shown below?
a2 - ab + 8b + b2 - 1
Answers
Answer:
There are 4 terms when simplified. :)
Step-by-step explanation:
Add like terms.
a2-ab+10b-1
8b+2b=10b
So I have another trigonometry question PLZ HELP ME I'm clueless at this rate I have like a little idea but I'm lost, SO PLZZZ! I NEED IT BY JUNE 4
1. Lifeguard stands on a beach are approximately 300 ft apart. They are at 30-degree angles to a windsurfer on the water in between them. How far away is the windsurfer from each tower. Draw a diagram to help you picture the situation.
2. If the Earth is approximately 93 million miles from the sun, and Mercury is about 36 million miles from the sun, what are the possible distances between Earth and Mercury on a certain day if the angle between the sun and mercury is 22 degrees as measured from Earth?
Answers
Answer:
1) The windsurfer is approximately 580 ft from each lifeguard stand.
2) The distance between the Earth and Mercury is approximately 61 million miles.
Step-by-step explanation:
The image other two situations described is presented in the attached image to this answer.
1) From the attached image, the windsurfer forms a right angled triangle with each of the lifeguard stand and the midpoint between the two lifeguard stands.
Hence, the angle at the top of the triangle is half of 30°, 15° and the distance from the midpoint of the lifeguard stands to the lifeguard stands is 300/2 = 150 ft.
Let the required distance of the windsurfer from each of the lifeguard stands be x.
Using trigonometric relations,
Sin 15° = (150/x)
x = 150 ÷ sin 15° = 150 ÷ 0.2588
x = 579.6 ft = 580 ft to the nearest whole number
2) From the image, the Sun, Earth and Mercury form a triangle.
Let the possible distance between the Earth and Mercury be y.
Using cosine rule,
y² = 36² + 93² - (2×36×93×cos 22°)
y² = 3,736.5769098208
y = √3,736.5769098208 = 61.13 million miles = 61 million miles to the nearest million miles.
Hope this Helps!!!
The graph below represents which system of inequalities? (2 points)
graph of two infinite lines that intersect at a point. One line is dashed and goes through the points 0, 2, negative 2, 0 and i
y < −2x + 6
y ≤ x + 2
y ≤ −2x + 6
y < x + 2
y < 2 over 3 x − 2
y ≥ 2x + 2
None of the above
Answers
Answer:
Step-by-step explanation:
none of the above
What is the inverse function of f(x) equals X over X -2
Answers
Answer:
(2x)/(x-1)
x = y/(y-2)
(y-2)x = y
yx - 2x =y
yx-y = 2x
y(x-1) = 2x
y= 2x/(x-1)
work out...
-10 + -11
.
Answers
-10-11=-21
step by step plz
2x^2 + x - 3
Answers
Answer:
x = 1 or x = -3/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + x - 3 = 0
The left hand side factors into a product with two terms:
(x - 1) (2 x + 3) = 0
Split into two equations:
x - 1 = 0 or 2 x + 3 = 0
Add 1 to both sides:
x = 1 or 2 x + 3 = 0
Subtract 3 from both sides:
x = 1 or 2 x = -3
Divide both sides by 2:
Answer: x = 1 or x = -3/2
Jillana begins to solve a linear equation that results in a variable expression set equal to the same variable expression. Which is the best interpretation of this solution?
Answers
Answer: that the variable can be any number.
Step-by-step explanation:
So we have a linear equation and we end with a relation of the way:
x = x
an example can be if we have:
2*x + 4 = 2*(x + 2)
if you solve that, you will end with a relationship x = x
this means that any value of x will made that equality true.
so x can be any number.
Answer:
D trust the process
Step-by-step explanation:
If the ratio of children to adults is 2:9 and there are 70 children at an arts festival, how many adults are in attendance?
Answer
How to enter your answer
adults
Answers
Answer:
315
Step-by-step explanation:
If 70 children is 2 parts, one part is 35
35*9 is 315
Answer:
315 adults
Step-by-step explanation:
2:9 where 2 is children and 9 is adults.
2 = 70, therefore 1 = 35
35 x 9 = 315
Help me with this!!! What is x
Answers
Answer:
58º
Step-by-step explanation:
Answer:
58 degrees
Step-by-step explanation:
x and 32 are complementary, which means they must add to 90 degrees.
x+32=90
Now, we have to solve for x. To do this, we need to get x by itself. 32 is being added on to x. To reverse this, subtract 32 from both sides, because subtraction is the opposite of division.
x+32-32=90-32
x=90-32
x=58
x is 58 degrees
Claire wants to find the mass of her suitcase. Which unit of measure would be best for her to use?
A. Tons
B. Liters
C. Meters
D. Kilograms
Answers
Answer: d
Step-by-step explanation:to s is to heavy and the others are for liquid and size
Answer:
D
Step-by-step explanation:
just makes the most sense
Reduce to simplest form. -9/12 - (-7/4)=
Answers
Answer:
answer is 1
Step-by-step explanation:
[tex]-\frac{9}{12} - (-\frac{7}{4}) = -\frac{3}{4} - (-\frac{7}{4})\\=\frac{4}{4} = 1[/tex]
Tim installs 45 square feet in 50 minututes at this rate how long does it take him to install 495 square feet
Answers
Answer:
99.5
Step-by-step explanation:
what is f (5)
need help asap
Answers
Answer:
f(5) = -7
Step-by-step explanation:
f(5) means that x=5 so what you have to do if count +5 along the x axis and then count downward along the y axis until you touch the line. In this case, you count 7 down which is -7
Find the equation of the line.
Use exact numbers.
Answers
What is the slope of the line perpendicular to the segment with endpoints (2,0) and (-6,3)?
A. 8/3
B. 3/4
C. -4/3
D. -3/8
Answers
Answer:
A line that passes (2, 0) and (-6, 3) has slope:
S1 = (-6 -2)/(3 - 0) = -4/3
Another line that is perpendicular with above line has slope:
S2 = -1/S1 = -1/(-4/3) = 3/4
=> Option B is correct
Hope this helps
:)
The segment with endpoints (2,0) and (-6,3) has a line perpendicular to it with a slope of 4/3.
What is the Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
From the general formula of the slope:
slope = (change in y) / (change in x)
The change in y is 3 - 0 = 3, and the change in x is -6 - 2 = -8. So the slope of the segment is:
slope = (3 - 0) / (-6 - 2) = -3/4
To find the slope of the line perpendicular to the segment, we know that it must have the opposite reciprocal slope. That is:
the slope of perpendicular line = -1 / slope of segment
slope of perpendicular line = -1 / (-3/4) = 4/3
Therefore, the slope of the line perpendicular to the segment with endpoints (2,0) and (-6,3) is 4/3.
Learn more about Linear equations here:
https://brainly.com/question/11897796
#SPJ2
what should i get for my birthday ? answer quickly plz ( its on june 3rd ) ( i need help)
Answers
Answer:
thats so cool! Happy Birthday you should get some kind of dessert and pizza.
Step-by-step explanation:
Dessert: get some ice cream and something to go with it. TASTY
Pizza: pizza=happiness and happiness is what you should be on your bday!
PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
The original point is (5, -5). The new point would be (5, 3)
Step-by-step explanation:
-5+8= 3
Answer:
(5, -5)(5, 3)I hope I helped you! If my answer is correct, please mark me brainiest. Thanks!
Answer the question
If you're right I'll MARK YOU BRAINLIEST!!
Answers
Answer:
[tex]2x\sqrt{40x}-2x\sqrt{5}[/tex]
Step-by-step explanation:
[tex]2x\sqrt{40x}-2x\sqrt{5}[/tex] is found by first, siplifying the radicals in the parenthesis. [tex]\sqrt{8x^{2} }[/tex] can be simplified as [tex]2x\sqrt{2}[/tex] and [tex]-2\sqrt{x}[/tex] stays the same. Now we have to multiply these two by [tex]\sqrt{5x}[/tex] which then results in [tex]2x\sqrt{40x}-2x\sqrt{5}[/tex]
Diana has 1 square yard of fabric she will make one pillow that requires 3/8 square yard of fabric and another pillow that requires 2/8 square yard of fabric Diana uses the equations shown below to explain her process to find the number of square yards of fabric she will use and the number of square yards of fabric she will have left
Answers
Answer:
Diana uses 5/8 square yard of fabric for both pillows.There remains 3/8 square yard of fabric.Step-by-step explanation:
Givens
The total amount of fabric is 1 square yard.One pillow requires 3/8 square yard of fabric.A second pillow requires 2/8 square yard of fabric.To find the total amount of fabric Diana used, we must sum those fractions
[tex]\frac{3}{8} +\frac{2}{8}=\frac{5}{8}[/tex]
Diana uses 5/8 square yard of fabric for both pillows.
Now, we subtract to find the remaining amount of fabric
[tex]1-\frac{5}{8}=\frac{8-5}{8}=\frac{3}{8}[/tex]
Therefore, there remains 3/8 square yard of fabric.
Pushpin, a social networking site, sent out a survey to all female users. One of the questions in 2014 was, "Do you cook dinner every day?" More than 35,000 women responded, with 38% responding yes. What can you conclude from the survey?
Answers
Answer:
We can conclude that of the women who responded to the survey, most of them stated that they do not cook dinner every day. However, it is important to note that there is not much more to be concluded because there are a lot of factors that can go into this. For example, to push feminist perspectives, women may lie about them cooking or be more inclined to respond to the survey (voluntary response bias). Furthermore, women who cook may be less likely to be on the site
Answer:
Undercoverage occurred, so the results tell us little about the population of all adults.
Explanation:
This was targeted to social networking site females, this excludes the population of females who do not use social networking or are unable to. Hope this helps
What is the sum of 5
Answers
Step-by-step explanation:
the sum of 5 and with a number is X+5 if that what you were trying to say