Answer: the height is 18 cm.
Step-by-step explanation:
The equation for the volume of a cone is the following: V = 1/3 × B × h, where B (base) = πr². Because we are given the radius of the base, but not the base’s area itself, we will use V = 1/3πr²h.
Here, we are trying to solve for h, the height, so first we can first rearrange the equation to solve for h:
1) V = 1/3πr²h
2) h = V ÷ 1/3πr² (divide both sides by 1/3πr²h)
Now, we just need to input the given values: V = 471, π = 3.14, r = 5
h = 471 ÷ 1/3(3.14)(5²)
= 471 ÷ 1/3(3.14)(25)
= 471 ÷ 1/3(78.5)
= 471 ÷ (78.5/3)
= 18 cm
I need help! Asap please.
The area of the given triangle will be [tex]\dfrac{5\sqrt{2}}{2}[/tex]
What is the triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
Given points of the triangle are:-
( -6,5 ) (-5,3 ) and (-8, 2)
Now we will apply the area formula for the triangle:-
[tex]A = \dfrac{1}{2} \times B\times H[/tex]
The base will be = [tex]\sqrt{(-5++8)^2+(3-2)^2)}=\sqrt{9+1}=\sqrt{10}}[/tex]
The Height will be = [tex]\sqrt{(-5+6)^2+(5-3)^2}=\sqrt5[/tex]
The area will be calculated as:-
[tex]A =\dfrac{1}{2}\times \sqrt{10}\times \sqrt{5}=\dfrac{5\sqrt{2}}{2}}[/tex]
Therefore the area of the given triangle will be [tex]\dfrac{5\sqrt{2}}{2}[/tex]
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Find the unit rate.
392 orders in 4 days =
orders per day
---Divide the numerator and denominator by 4. We do this because we want to know how many orders are in 1 day and 4 / 4 = 1.
392 orders / 4 days
98 orders / 1 day
Hope this helps!
In a sale, the normal price of a bicycle is reduced by 35%.
The sale price of the bicycle is £585
Work out the normal price of the bicycle.
Dalia has a jar with 6 red pencils and 4 green pencils. She will randomly pick two pencils without replacement. What is the probability that Dalia will pick two red pencils?
6/25
1/3
9/25
2/5
Im a bit confused on this type of probability so I would love an explanation so I can figure out the answer for myself
Answer:
1/3
Step-by-step explanation:
i have attached a tree diagram to help with your understanding, first branches show probability of picking either green or red the first time she picks one. The next set of branches show the updated probabilities after one pencil has been taken out.
Najib cuts out a rectangle that has a perimeter of 50 inches and a length of 17 inches.He cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new rectangle.
Answer:
66 inches
Step-by-step explanation:
perimeter = 2(l+b)
here, perimeter is 50 and length is 17
let the width be x,
=> 50 = 2(17+x)
=> 50 = (2*17)+(2*x)
=> 50 = 34 + 2x
=> 50 - 34 = 2x [transposing method]
=> 16 = 2x
=> 16/2 = x
=> 8 = x
8 inches = width of the first triangle
we know, the other rectangle's length is 17
and it is said that the width is twice the width of the first triangle
so the length = 17, width = 2*8 = 16
for the perimeter
p = 2(l+b),
=> p = 2(17+16)
=> p = (2*17)+(2*16)
=> p = 34+32
=> p = 66
so the perimeter of the other rectangle is 66
Answer:
66
Step-by-step explanation:
that answer was incorrect. change your answer and try again!
A lightbulb manufacturer must test a sample of lightbulbs to ensure that quality and safety standards are being met. Which of these methods will produce the most representative sample of the population of lightbulbs made by this company? OA. The manufacturer tests every lightbulb made on Monday. B. The manufacturer tests the last 100 lightbulbs produced each month. OC. The manufacturer tests the first lightbulb off the production line each day OD. The manufacturer tests every 1000th lightbulb off the production
Answer:
D
Step-by-step explanation:
It makes the most sense
I need help please !!!!!!!
Answer:
4 and 3/4 is the 5th shortest piece
a third of 4 and 3/4 is 1 and 7/12
the answer is: 1 7/12 in.
Step-by-step explanation:
4 and 3/4 is 19/4
19/4 divided 3 is 19/4 *1/3 = 19/12 = 1 7/12
An apple orchard's workers pick 12,500 apples in the month of October. A sample of 500 of these apples shows that 30 of them are damaged. what is the best estimate of the percentage of apples picked at the orchard in October that are damaged?
The best estimate of the percentage of apples picked at the orchard in October that is damaged will be 6%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
An apple orchard's workers pick 12,500 apples in the month of October.
A sample of 500 of these apples shows that 30 of them are damaged.
Then the best estimate of the percentage of apples picked at the orchard in October that is damaged will be
P = 30/500 x 100
P = 6%
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Find the area of a trapezoid with bases of 10 inches and a height of 5 inches?
Answer:
50in^2
Step-by-step explanation:
[tex]A=\frac{a+b}{2}(h)\\ \frac{10+10}{2}(5)[/tex]
Lukas is researching animals for a project. He has already researched 8 animals in school and continues to research 2 new animals each week from home. Choose the equation where w represents the number of weeks since Lukas started his research at home and n represents the number of animals Lukas has researched.
PLEASE ANSWER
Answer:
8+2w=y
Step-by-step explanation:
The ordered pairs in this table lie in the graph of a linear function. Which equation represents the same linear function?
X Y
4 11
0 -1
-2 -7
-5 -16
A. y = x + 2
B. y = 3x – 1
C. y = 3x
D. y = x – 3
The linear equation that represent the pair of points (0, -1) and (4, 11) is y = 3x - 1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the table, using the point (0, -1) and (4, 11), hence:
y - (-1) = [(11 - (-1))/(4 - 0)](x - 0)
y = 3x - 1
The linear equation that represent the pair of points (0, -1) and (4, 11) is y = 3x - 1
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Answer: B
Step-by-step explanation:
rose is making trail mix bags for her hiking club. she will use 20 ounces of walnuts, 11.1 ounces of almonds, and 15.4 ounces of cashews. this amount makes 25 bags of trail mix. how many ounces are in each bag? (please have explanation and answer)
Answer: 1.86 oz. per bag
Step-by-step explanation: First we add the amount of ounces from each ingredient. 20+11.1+15.4 = 46.5
Then we divide by 25 to find out how many ounces per bag. 46.5/25=1.86
Answer:
2.15 ounces
Step-by-step explanation:
The total ounces of nuts in the bag is calculated as:
20 ounces of walnuts + 11.1 ounces of almonds + 24.8 ounces of cashews = 55.9 ounces.
From the question we are told that these amounts make 26 bags.
The number of ounces that are in each bag is calculated as:
26 bags = 55.9 ounces
1 bag = x ounces
Cross Multiply
26 bags × x ounces = 1 bag × 55.9 ounces
x ounces = 1 bag × 55.9 ounces/26 bags
x ounces = 2.15 ounces
Therefore, there are 1.94 ounces in each bag
Simplify $\frac{4}{\sqrt{3}}$
When graphing an inequality, what is drawn to show that the number named
in the inequality is included in the solution?
Answer:
The line would be a solid line.
Step-by-step explanation:
To draw inequality graphs, solid lines represent [tex]\geq or \leq[/tex] and dotted lines show > or <. Hope this helps.
please help! 7th grade math
Answer:
q 3 = 3/12.2/9 q4 = 15/40.14/39
Which statements are true? check all that apply. the total possible outcomes can be found using 52c5. the total possible outcomes can be found using 52p5. the probability of choosing two diamonds and three hearts is 0.089. the probability of choosing five spades is roughly 0.05 the probability of choosing five clubs is roughly 0.0005.
A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The true statements about the cards are
The total possible outcomes can be found using 52C5. The probability of choosing five clubs is roughly 0.0005. What is Probability?Generally, Probability is simply defined as the position or attribute of being likely.
In conclusion, The accurate assertions are: The total number of potential outcomes may be calculated using 52C5, and the chance of selecting five clubs is around 0.0005.
CQ
A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The four suits are hearts, diamonds, spades, and clubs. A hand of five cards will be chosen at random. Which statements are true? Check all that apply. The total possible outcomes can be found using 52C5. The total possible outcomes can be found using 52P5. The probability of choosing two diamonds and three hearts is 0.089. The probability of choosing five spades is roughly 0.05 The probability of choosing five clubs is roughly 0.0005.
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Answer:
A & D
Step-by-step explanation:
E2020 Geometry B!! :33
Given that XY is a line segment with the angle a = 46 degrees, work out the value of the angle marked b.
B = ?
Answer:
The answers should be b=44°
Step-by-step explanation:
b=180°–90°–a
b=180°–90°–46°
b=44°
PLEASE HELP ME ON THIS ONE
Answer:
8m
Step-by-step explanation:
Find the volume of the sphere first :
V sphere = [tex]\frac{4}{3}[/tex] π 6^3 = 902.51
Then use the volume of the sphere to find the height :
Formula = V/π[tex]r^{2}[/tex]
902.51/π(6)^2 = 8.004 (rounded is 8)
hope this helped :)
Answer:
8 m
Step-by-step explanation:
Given,
Volume of sphere = Volume of cylinder
Radius ( r ) = 6 m
Formula : -
Volume of sphere = 4/3 πr³
Note : -
The value of π is 3.14
Volume of sphere
= 4/3 x 3.14 x 6³
= 4/3 x 3.14 x 6 x 6 x 6
= 904.32 m³
Hence,
The volume of sphere is 904.32 m³.
Since,
Volume of sphere = Volume of cylinder
So,
Volume of cylinder = 904.32 m³
Formula : -
Volume of cylinder = πr²h
πr²h = 904.32
3.14 x 6 x 6 x h = 904.32
113.04 x h = 904.32
Divide 113.04 on both sides,
h = 904.32 / 113.04
h = 8 m
What is the product? 2/3×1/5
Answer:
0.13
Step-by-step explanation:
2/3×1/5 = 0.13
Boyle's Law says that the volume of a gas varies Inversely with the pressure. When the volume of a certain gas is 2 L, the pressure is 290 kPa (kilopascals).
What is the pressure when the volume is 5 L?
Use f(x)=x^2+4x-12 Does the graph of a function open upward or downward?
Answer:
Upward
Step-by-step explanation:
Because of the positive leading coefficient, the graph of the function will open upwards, being a parabola.
fully factorize
6xy-2x+3z-9zy
Answer:
(2x−3z)(3y−1)
Step-by-step explanation:
6xy-2x+3z-9zy
2x(2xy-1)+3z-9zy
2x(-1+3y)+3z(1-3y)
(2x−3z)(3y−1)
In a telephone poll, 2 people said they like shopping and 8 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the total number of people polled?
Answer:
4:1
Step-by-step explanation:
There are eight people who don't like shopping and 2 who do. So for every 1 person who likes shopping there are 4 people who don't
HELP ASAP PLSS
A local water park has two types of season passes. Plan A costs a one-time fee of $143 for admission plus $8 for parking every trip. Plan B costs a one-time fee of $52 for parking plus $21 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?
kyle is pulled back on a swing so that the rope forms an angle of 30 degress with the vertical the distance from the top of the swing set directly to the ground is 12 feet find kyles height off the ground
Answer:
12 ft - 2 ft = 10 ft
The rope is 10 feet long.
10 · cos 30° = 10 · √3 / 2 = 8.66 ft
x = 12 - 8.66 = 3.34 ft
Answer:
A ) 3.34 feet
I think of i take away 5 the results is 14 what number did i think of
Answer:
19.
Step-by-step explanation:
Let the number you think of be x, then:
x - 5 = 14.
x - 5 + 5 = 14 + 5
x = 19.
If a circular playground has an area of 144 m2. What is the diameter of the playground?
Answer:
The diameter is about 13.55m
Step-by-step explanation:
Calculator
jeff can solve 16 math problems in 25 minutes. How many problems can he solve in 42 minutes?
Answer:
27
step by step explanationfrom the explanation,
let the number of maths that can be solved in 42 minutes = X
16 maths--------------25minutes
x maths --------------42 minutes
cross multiplying
X×25= 16×42
dividing bothsides by 25
25X/25 = 16×42/25
X = 672/25
X = 26.88 = 27 (approximately)
therefore 27 problems can be solved in 42 minutes
What is the area of the shaded region? (25π – 48) cm2 (25π – 30) cm2 (25π – 24) cm2 (25π – 12) cm2
The area of the shaded region or portion in the circle is (25π - 24) cm².
How to find the area of the shaded portion in the circle?The area of the shaded portion in the circle is found by subtracting the area of the two triangles from the area of the circle.
Therefore,
area of the circle = πr²
where
r = radiusarea of a triangle = 1/ 2 bh
where
b = baseh = heightTherefore,
r = 5 cm
area of circle = 5²π = 25π cm
area of one triangle = 1 / 2 × 6 × 4 = 12 cm²
The area of the two triangles = 2(12) = 24 cm²
Hence,
area of the shaded portion = (25π - 24) cm²
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Someone help me find the length of ST please!
Answer:
10
Step-by-step explanation:
I calculated and it's 10 I'm in car so I can't give the whole explanation