The right circular cone will have a volume of 667.4 cubic inches.
What is volume?A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. Volume of a solid is measured in cubic units.
As per the given data:
height of the cone ([tex]h[/tex]) = 15.8 inch
diameter of the base ([tex]d[/tex]) = 12.7 inch
volume of a right circular cone = [tex]\frac13\pi r^2h[/tex]
Where radius ([tex]r[/tex]) = [tex]\frac{d}{2}[/tex] = [tex]\frac{12.7}{2}[/tex] = [tex]6.35[/tex]
volume = [tex]\frac13\times\pi\times (6.35)^2\times15.8[/tex]
= [tex]\frac13\times\frac{22}{7}\times (6.35)^2\times15.8[/tex]
= 667.4 cubic inches
The volume of the right circular cone will be 667.4 cubic inches.
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what is a/8 - 7(3) = 4a - 78(b)
solve for b pls
Answer:
31a/624 +7/26 = b
Step-by-step explanation:
a/8 - 7(3) = 4a - 78(b)
Multiply
a/8 - 21 =4a -78b
Multiply each side by 8 to get rid of the fractions
8(a/8 - 21) =8(4a -78b)
a - 168 = 32a -624b
Subtract 32a from each side
a -32a -168 = 32a -32a -624b
-31a -168 = -624b
Divide each side by -624
(-31a -168)/-624 = -624b/-624
(31a+168)/624 = b
31a/624 +7/26 = b
Answer:
b = (31a + 168)/624
Step-by-step explanation:
a/8 - 7(3) = 4a - 78(b)
78b = 4a - a/8 + 21
78b = (32-1)a/8 + 21
78b = (31a + 21(8))/8
78b = (31a + 168)/8
b = (31a + 168)/8 × 1/78
b = (31a + 168)/624
help me please because I don't understand it
Answer:
scale factor = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
To determine the scale factor, calculate the ratio of corresponding sides in the 2 figures. Ratio is image to original.
Comparing the top horizontal segments in both, orange to black.
scale factor = [tex]\frac{5}{15}[/tex] = [tex]\frac{1}{3}[/tex]
Complete the sentences. The area of the pyramid’s base is in.2. The pyramid has lateral faces. The surface area of each lateral face is in.2. The total surface area is 144 in.2. WILL MARK BRAINLIEST!!!
Answer:
Step-by-step explanation:
The area of the pyramid's base is 36 square inches.
Area of base = s*s = 6*6 = 36The pyramid has 4 lateral faces.
Count how many non-bases there are.The surface area of each lateral face is 18 square inches.
Area of lateral face = 1/2 b*h = 1/2 9*6 = 18The area of the pyramid’s base is 36 in² and the surface area of each lateral face is 108 in². Then the total surface area is 144 in².
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The area of the pyramid’s base will be
Base area = 6 × 6
Base area = 36 in²
The area of the pyramid’s base is 36 in².
The pyramid has lateral faces that will be
Lateral face = 0.5 × 6 × 9
Lateral face = 27 in²
Then the surface area of each lateral face will be
Surface area = 4 × 27
Surface area = 108 in²
The surface area of each lateral face is 108 in²
Then the total surface area is 144 in².
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What is the area of the triangle?
A triangle with a base of 45 inches, height of 33 inches, and side length of 45 inches.
123 inches squared
742.5 inches squared
1,012.5 inches squared
1,485 inches squared
Answer: 123 inches squared
Step-by-step explanation:
The requried area of the triangle is 742.5 inches squared.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
To find the area of a triangle, we can use the formula:
Area = 1/2 * base * height
In this case, the base is 45 inches and the height is 33 inches. So we have:
Area = 0.5 * 45 inches * 33 inches
Area = 742.5 inches squared
Therefore, the area of the triangle is 742.5 inches squared.
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Which order pair is a solution of this equation. 5x+y=-25
Answer:
(-5,0) or (0,-25) is another solution
Step-by-step explanation:
Do you have a list of choices? If not, you could choose random choices for x and y to determine if they are solutions. Start by letting y = 0. We see that x = -5, so (-5, 0) is a solution to this equation. In fact, it represents the x-intercept of this line. Now, let x = 0. We now see that y = -25, so (0, -25) is another solution to the equation of this line. This coordinate pair is the y-intercept of the line. Try using other values of x and y to see if you can come up with other solutions to this equation.
Answer:
(-5,0)
Step-by-step explanation:
this is the question i dont rlly get
Answer:
The answer is C.
Step-by-step explanation:
help please i’ll give brainliest
Answer:
(x² + x)/2 = 10
x² + x = 20
x² + x - 20 = 0
(x + 5)(x - 4) = 0
x = -5, 4
How many 3 number combinations are possible if you can't repeat the numbers? The numbers range from 0-39
Answer: 49600
Step-by-step explanation: There are 40 ways to choose the first number
and there are 40 ways to choose the second number.
Now we take some examples to determine how many choices there are for
the third number
If the second number is 23, then the 3rd number cannot be any of these
9 numbers 19,20,21,22,23,24,25,26,or 27, since they are not at least 5
numbers away from 23. Same for all other 40 second numbers.
Let's look at a second example which includes some on both sides of 0.
If second number is 2, we couldn't choose any of the 9 numbers 38,39,0,1,2,3,4,5,6.
So thats 40-9 or 31 choices for the 3rd number.
Answer 40*40*31 = 49600 ways.
Erik buys 2.5 pounds of cashews.If each pound of cashews cost $7.50, how much will he pay for the cashews
Erik will pay $18.75 for 2.5 pounds of cashews because the price is $7.50 per pound, and the cost is calculated by multiplying the price per pound by the number of pounds.
To calculate how much Erik will pay for 2.5 pounds of cashews at a rate of $7.50 per pound, you simply multiply the number of pounds of cashews by the price per pound.
The formula to determine the cost is: Total Cost = Price per Unit x Quantity.For Erik's purchase, this would be: Total Cost = $7.50 x 2.5.Let's do the calculation:
First, multiply 7.50 by 2.5, which equals 18.75.This means Erik will pay $18.75 for the cashews.
A cone with a height of 50 meters has a volume of 5400pie what is the radius of the cone
Given:
Height of a cone = 50 m
Volume of cone = 5400π
To find:
The radius of the cone
Solution:
Volume of cone:
[tex]$V=\frac{1}{3}\pi r^2h[/tex]
[tex]$\frac{1}{3}\pi r^2h=5400\pi[/tex]
Cancel common factor π on both sides.
[tex]$\frac{1}{3} r^2h=5400[/tex]
Substitute h = 50.
[tex]$\frac{1}{3}\times r^2\times 50=5400[/tex]
Multiply by 3 on both sides.
[tex]$3 \times \frac{1}{3}\times r^2\times 50=5400\times 3[/tex]
[tex]$ r^2\times 50=16200[/tex]
Divide by 50 on both sides, we get
[tex]r^2=324[/tex]
Taking square root on both sides, we get
[tex]r=18[/tex]
The radius of the cone is 18 m.
Can you solve this question plz
Answer:
2)These two triangle are congruent because they have same shape and size.
1)it is explained already.
Answer:
Triangles are congruent. It explains everything in the question.
Step-by-step explanation:
Harper knows he is 50 yards from his school. The map on his phone shows that the school is 3/4 inch from his current location. How far is Harper from home, if the map shows the distance as 3 inches?
Answer:200
Step-by-step explanation:
3÷3/4=4
4x50=200
34 inches represents 50 yards.
So, 1 inches could be represented by 50/34 = 25/17 yards.
Multiply 1 inches value of yards by 3 to find the length of 3 inches in yards.
25/17 = 75/17 = 4 7/17 yards.
Answer: 4.412
1.
3z^2+ 8z-3
in quadratic formula
Answer:
What grade of math is this?
Step-by-step explanation:
There are 4 teams in a soccer tournament. Each team plays each of the other teams exactly once. In each match, the winner receives 3 points and the loser receives 0 points. In the case of a tie, both teams receive 1 point. After all the matches have been played, which of the following total number of points is it impossible for any team to have received?
Answer:
8 points
Step-by-step explanation:
Given that there are 4 teams and Each team plays each of the other teams exactly once, then each team plays 3 matches. The possible points after 3 matches are:
0: 3 lost
1: 2 lost, 1 tied
2: 2 tied, 1 lost
3: 3 tied
4: 1 won, 1 lost, 1 tied
5: 1 won, 2 tied
6: 2 won, 1 lost
7: 2 won, 1 tied
9: 3 won
The answer is 8 points.
Since there are 4 teams in a soccer tournament, and each team plays each of the other teams exactly once, and in each match, the winner receives 3 points and the loser receives 0 points, while in the case of a tie, both teams receive 1 point, to determine, after all the matches have been played, which total number of points is it impossible for any team to have received, the following mathematical logical reasoning must be performed:
0 points = 3 losses = possible 1 point = 1 draw, 2 losses = possible 2 points = 2 draws, 1 loss = possible 3 points = 1 win, 2 losses or 3 draws = possible 4 points = 1 win, 1 draw, 1 loss = possible 5 points = 1 win, 2 draws = possible 6 points = 2 wins, 1 loss = possible 7 points = 2 wins, 1 draw = possible 8 points = impossible, it takes at least 4 matches to achieve that combination 9 points = 3 wins = possible
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A certain medication comes in the form of a capsule, as
shown below. The fluid inside the capsule contains
several ingredients, including the active medication.
4 mm
nearest tenth.
V= mm3
If the density of the active medication in the liquid is
0.7 mg/mm3. how many milligrams of the active
medication are in one capsule? Round to the nearest
tenth.
mg
5.6 mm
Answer:
V= 103.9 mm^3 and 72.7 mg
Step-by-step explanation:
Reasons
Answer:
hi thereee
the answer would be
V=103.9
V=72.7
hope this helps :)
Step-by-step explanation:
i just did the assignment
What is the sum
8+{-12}
Answer: -4
Add -12+8 or 8+(-12) and get -4
Answer:
-4
Step-by-step explanation:
NOte that - × - =+
+ × +=+
- × + =-
+ × -= +
So according to the question
8+(-2)
Which means that
8((+)×(-12))
8-12
-4
Therefore the final answer is-4
Katie is 2 yes older than tiffany. 3 years ago, the ratio of their ages is 5/4. How old is each one today? Please show your work
Answer:
28 and 23
Step-by-step explanation:
Three years ago Katie was 25 and Tiffany was 20
... The area between the x-axis & y=x² – 3x² + 2x 0
[tex]0 \leqslant x \leqslant 2[/tex]
Answer:
Step-by-step explanation:
hello :
calculate :F(x) = ∫(x²-3x+2)dx
F(x) = (1/3)x^3 -(3/2)x² +2x
the area is :A = F(1)-F(0)
F(1) = (1/3)1^3 -(3/2)1² +2(1) =5/6
F(0) =0
so A= 5/6 Uof area
Would you rather buy one 8-lb container of ice cream for $24.56, or two 3-lb 11-oz containers of ice cream for $23.60?
Whichever option you choose, justify your reasoning with mathematics.
Answer:3-lb 11-oz containers of ice cream for $23.60
Step-by-step explanation:
Help me pls before 4 pM
Answer:
i say 12 combos
Find The missing valaue in each of the problems
? x 10 = 10
please someone help
Answer:
1
Step-by-step explanation:
[tex]1*10=10[/tex]
1 Multiplied by any number will equal the same. If you have 1 group of ten people, how many people do you have? 10.
Hope this helps. Have a nice day. Please mark brainliest!
The missing value is 1.
if we multiply 1 and 10 then the result will be 10.
The sum of a two digit number is 8. If the digits are reversed, the number is increased by 54. What is the number.
Answer:
Let t = the tens digit and u = the units digit.
t + u = 8
10u + t = 10t + u + 54
10(8 - t) + t = 10t + 8 - t + 54
80 - 10t + t = 9t + 62
80 - 9t = 9t + 62
18t = 18
t = 1, u = 7
The number is 17.
It took Skylar a full minute to recall the chain of events that had brought her here,
deep into outer space. She had awoken from her deep, dreamless sleep only a few
moments before. After stretching her unused muscles, she surveyed her
surroundings, recognizing the instruments and equipment around her. Everything
had gone according to plan, and she had been asleep throughout the entire three-
year journey. Now, she had a crucial mission to carry out, one that would influence
the very course of life back on Earth.
This excerpt is the beginning of a longer work. Which describes how the plot will
most likely unfold?
1The main character will take command of the ship and return home.
2
The narrative will explain all the events in Skylar's life up to this point.
3Skylar will serve as an archetypal heroine who acts to save the world.
Answer:
3
Step-by-step explanation:
i think the answer is 3 because of the quote "now, she had a crucial mission to carry out, one that would influence the very course of life back on Earth."
hope this helps!
Final answer:
The plot will likely focus on Skylar's crucial mission in outer space, portraying her as an archetypal heroine, with the story revealing the destabilizing condition that led her to this moment.
Explanation:
Based on the excerpt, it's most likely that the plot will involve Skylar embarking on a crucial mission that affects life on Earth, suggesting that the narrative will focus on her as an archetypal heroine. Given that she's just awakened from a three-year journey in deep space, we can infer a narrative structure that will emphasize her actions and decisions in outer space rather than detailing her entire life history or returning home immediately. The story seems poised to dive into the destabilizing condition that brought Skylar into space, likely escalating towards a central conflict related to her mission, while building empathy for her character as she navigates challenges in a foreign environment.
Which description best describes the solution to the following
system of equations? (1 point)
y = -2x + 3
y = -x + 1
Line y = -2x + 3 intersects the origin.
Line y = -2x + 3 intersects the line y = -x + 1.
Lines y = -2x + 3 and y = -x + 1 intersect the x-axis.
Lines y = - 2x + 3 and y = -x + 1 intersect the y-axis.
Answer:
The correct answer is d.
Step-by-step explanation:
Hope You Have A GREAT Day Love ;)
And i hope this helps you
zack is standing at the top of a lookout tower and spotsa a water fountain below. if the lookout tower is 75 feet tall and the angle of depression is 28 what is the horizontal distance between zack and the water fountain
The horizontal distance between Zack and the water fountain is approximately 141.1 feet.
To find the horizontal distance between Zack and the water fountain, we can use trigonometry.
The tangent function relates the angle of depression (\(\theta\)) to the opposite side (height of the tower, \(h\)), and the adjacent side (horizontal distance, \(d\)):
[tex]\[ \tan(\theta) = \frac{h}{d} \][/tex]
Given:
Height of the tower = 75 feet
Angle of depression = 28°
We rearrange the formula to solve for \(d\):
[tex]\[ d = \frac{h}{\tan(\theta)} \]\[ d = \frac{75}{\tan(28°)} \]Calculating \(\tan(28°)\), and then the distance \(d\):\[ \tan(28°) = 0.531 \]\[ d = \frac{75}{0.531} \]\[ d = 141.1 \][/tex]
So, the horizontal distance between Zack and the water fountain is approximately 141.1 feet.
Ryan bought 43 pounds of
apples for $0.75 per pound. How
much did he pay for the apples?
Answer:32.25$
Step-by-step explanation:
0.75x43=32.25
Answer:32.25
Step-by-step explanation:
For every pound there is $.75, so you just multiply them
kalvin's mother tells him that the chance of a coin showing heads when he tosses it is 1/2. does this mean that every time he tosses a coin twice, he will get one head and one tail.
No it is not necessary that Kelvin will get one head and one tail every time
Explanation:
Probability in math is equal to favorable outcomes/total outcomes
The coin has two sides a head and a tail. When we flip a coin we have 50-50 possibility of getting a head and a tail. It means with every toss we have 1/2 possibility of getting head as well as tail.
But this does not mean that when we toss a coin twice we will get one head at one toss and one tail at another toss.
There is a possibility of getting both heads as well as both the tails.
How many times larger is a 10 pound dog than a hamster weighing five eighth pounds
Answer:
about 16 times bigger
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
n= mass of dog/ mass of hamster
n= 10 lb/ 5/8 lb
Which strategy would you choose to expand (x+11)(2x+3) and write an equivalent expression
Answer:
Step-by-step explanation:
Given the expression (x+11)(2x+3)
We want to expand it and write equivalent expression
Generally if we want to expand an expression we will take one of the expression in one bracket and multiply with the other bracket and then take the other expression and multiply it with the other
E.g, (a+b) × (c + d)
Then, we take a × (c+d) and also b × (c+d)
We can do it the other way round too and it will give the same results.
So, applying this to the given expression
(x+11)(2x+3)
x(2x+3) + 11(2x+3)
2x² + 3x + 22x + 33
2x² + 25x + 33
Then, the equivalent expression is 2x² + 25x + 33
(x + 11)(2x + 3) = 2x² + 25x + 33
1)
Erica brought 56 bottles of water to basketball practice. She gave an equal number of bottles to each of her 8 teammates,
How many bottles of water did each teammate receive?
A)6
B)7
C)8
D)9
Answer:
b) 7
please mark as brainliest :)
Step-by-step explanation:
Answer:
B)7
Step-by-step explanation:
When she has 56 bottles we divide that by how many teammates, so 56/8 and that gives us our answer, 7