Answer:
C. 270
Step-by-step explanation:
If there are 10 millimeters in 1 centimeter, that means there is 10 times the number of millimeters in a centimeter. So, we would multiply 27 centimeters by 10 to find the number of millimeters.
The circumference of a circle is 3 pi miles. What is the diameter?
Answer:
3 miles
Step-by-step explanation:
The circumference of a circle can be found using:
c=[tex]\pi d[/tex]
We know the circumference is [tex]3\pi[/tex], so we can substitute that in for c
[tex]3\pi[/tex]=[tex]\pi d[/tex]
We want to find the diameter. To do this, we need to get d by itself. It is being multiplied by pi. To undo this, divide both sides by pi. This will cancel pi, and leave d by itself.
[tex]3\pi /\pi =\pi d/ \pi[/tex]
3=d
So, the diameter is 3 miles
Answer:
Diameter is 3
Step-by-step explanation:
C=2πr
3π = 2πr
3π / 2π = r (Divide each side by 2π)
3/2 = r (Simplify π)
3/2 *2 = d (d = 2r)
d = 6/2 = 3
A storage tank will have a circular base of radius r and a height of r. The tank can be either cylindrical or hemispherical (half a sphere). Complete parts (a) through (e) below. a. Write and simplify an expression for the ratio of the volume of the hemispherical tank to its surface area (including the base). For a sphere, Vequals four thirds pi r cubed and SAequals 4 pi r squared . What is the volume of the hemispherical tank (including the base)? Vequals nothing (Simplify your answer. Type an exact answer in terms of pi .)
Answer:
Volume: [tex]\frac{2}{3}\pi r^3[/tex]
Ratio: [tex]\frac{2}{9}r[/tex]
Step-by-step explanation:
First of all, we need to find the volume of the hemispherical tank.
The volume of a sphere is given by:
[tex]V=\frac{4}{3}\pi r^3[/tex]
where
r is the radius of the sphere
V is the volume
Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:
[tex]V'=\frac{V}{2}=\frac{\frac{4}{3}\pi r^3}{2}=\frac{2}{3}\pi r^3[/tex]
Now we want to find the ratio between the volume of the hemisphere and its surface area.
The surface area of a sphere is
[tex]A=4 \pi r^2[/tex]
For a hemisphere, the area of the curved part of the surface is therefore half of this value, so [tex]2\pi r^2[/tex]. Moreover, we have to add the surface of the base, which is [tex]\pi r^2[/tex]. So the total surface area of the hemispherical tank is
[tex]A'=2\pi r^2 + \pi r^2 = 3 \pi r^2[/tex]
Therefore, the ratio betwen the volume and the surface area of the hemisphere is
[tex]\frac{V'}{A'}=\frac{\frac{2}{3}\pi r^3}{3\pi r^2}=\frac{2}{9}r[/tex]
When bands play at the arena the money made from ticket sales is split in an agreed ratio. When Phillip Cage played, £21,000 was split at a ratio of 2:5 between the arena and Phillip Cage. How much money did the arena make from Phillip Cage's concert?
Answer:
£6000
Step-by-step explanation:
Given:
Phillip Cage played, £21,000 was split at a ratio of 2:5 between the arena and Phillip Cage.
Question asked:
How much money did the arena make from Phillip Cage's concert?
Solution:
Ratio Arena and Philip cage in which money distributed = 2 : 5
Let ratio be [tex]x[/tex]
Money earned by Arena = [tex]2x[/tex]
Money earned by Phillip Cage = [tex]5x[/tex]
Phillip Cage played total for = £21,000
Money earned by Arena + Money earned by Phillip Cage = £21,000
[tex]2x+5x=21000\\7x=21000\\[/tex]
Dividing both sides by 7
[tex]x=3000[/tex]
Money earned by Arena = [tex]2x[/tex] = [tex]2\times3000=6000[/tex]
Thus, Arena made £6000 from Phillip Cage's concert.
Find the slope to Y = 5/2x-3
Answer:
slope = 5/2
Step-by-step explanation:
This equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 5/2x -3
The slope is 5/2 and the y intercept is -3
Answer:
Slope: 5/2
Y Intercept: -3
Step-by-step explanation:
A soda factory packages 10 soda cans per box. How many boxes are needed to ship 120,450 soda cans?
boxes
Answer: 12,045 boxes
Step-by-step explanation:
120,450 divided by 10
= 12,045
Answer:
12,045
Step-by-step explanation
If you need to ship 120,450 soda divide that by 10 (the number of cans in a box) and that gives you 12,045.
Mrs. Barto has a pet rabbit and wants to build a pen for it. She has 3 pieces of lumber: one is 3 ft, one is 7 ft, and the other is 8 ft long. Can she build a closed triangular pen with these three boards (will the boards form a triangle)?
Answer:
Yes, it is possible
Step-by-step explanation:
In a triangle, the length of the longest side of the triangle cannot be larger than the sum of the lenghts of the two shortest sides.
In formula, this means that:
[tex]c\leq a+b[/tex]
where
c is the length of the longest side
a, b are the lengths of the shortest side
In this problem, we want to build a triangle using 3 pieces of lumber, each of length:
a = 3 ft
b = 7 ft
c = 8 ft
We can verify that the length of the longest piece of lumber is less than the sum of the lengths of the other two sides, so:
[tex]8\leq 3+7 = 10[/tex]
Therefore, yes, it is possible to build a closed triangular pen.
The question is about the Triangle Inequality Theorem in Geometry. It asks if a triangle can be formed with given lengths of 3 ft, 7 ft, and 8 ft. By verifying with the theorem, we can confirm that a triangle can be formed.
Explanation:The subject of the question is determining if a triangle can be formed with three given lengths. This topic belongs to Geometry, a branch of Mathematics. To form a triangle, the lengths must satisfy the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. In this case, we can plug our given lengths into this theorem:
3 ft + 7 ft > 8 ft3 ft + 8 ft > 7 ft7 ft + 8 ft > 3 ftAll these inequalities hold true, so yes, Mrs. Barto can build a closed triangular pen for her pet rabbit with the three pieces of lumber.
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What do I dots solve this
[tex]8y - 72 = 8 \times y - 8 \times 9 = \\ = 8 \times (y - 9) = 8(y - 9)[/tex]
Please help me idk this
Answer:
37.68
Step-by-step explanation:
C=2[tex]\pi[/tex]r
C=2*6*3.14
C=12*3.14
C=37.68
Answer:
C = 2 π r
Step-by-step explanation:
2*3.14*6=37.69911=37.7
the answer is 37.7
10, 4, 1.6, 0.64.. what’s next
Answer:
0.256 or 0.26
Step-by-step explanation:
The common ration is being multiply by 0.4
Javier solved this system of equations. y = 3x – 4, y = 3x – 4 6x – 8 = 6x – 8 –8 = –8 What can you conclude about the number of solutions to this system of equations? There is one solution, (–8, –8). There is one solution, (–8, 0). There is no solution. There are infinitely many solutions.
Answer:
there are infinite many solutions.
Step-by-step explanation:
i have taken this before
Answer:
D
Step-by-step explanation:
If the parabola shifts 3 units to the left, which equation represents the translated parabola?
A) f(x)=x^2-8x-14
B) f(x)=x^2+9x+14
C) f(x)=x^2+4x-21
D) f(x)=x^2+5x-14
what 1/6 divided by 5
Answer:
1/30
Step-by-step explanation:
Answer:
1.2
Step-by-step explanation:
(simplified)
help me find
2/9 + something = 1
Answer:
7/9
Step-by-step explanation:
There are 9/9 in one whole, so if we have 2/9 now, we need another 7/9 to make 9/9: 2/9 + 7/9 = 9/9 = 1
Answer:
7/9
Step-by-step explanation:
1-2/9=7/9
10, 15, 22.5, 33.75.... what’s next?
.
Answer:
50.625
Step-by-step explanation:
1) 10/2=5
10+5= 15
2) 15/2 = 7.5
15+7.5 = 22.5
3) 22.5/2 = 11.25
22.5+11.25= 33.75
4) Answer: 33.75/2 = 16.875
33.75+16.875 = 50.625
Two thirds of a number is negative Twenty
The unknown number was found from the equation to be -30.
EquationAn equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the unknown number. Two thirds of a number is negative Twenty, hence:
(2/3)x = -20
Multiply both sides of the equation by 3/2, hence:
(2/3)x * 3/2 = -20 * 3/2
x = -30
The unknown number was found from the equation to be -30.
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Four circles, each with a radius of 2 inches, are removed
from a square. What is the remaining area of the square?
Exact answer = 64 - 16pi
Approximate answer = 13.7345175425633
Units for the area are in square inches.
==============================================================
Work Shown:
The radius of each circle is 2 inches. Double this value to get the diameter to be 4 inches.
Two circles along the top have their diameters combine to 8 inches total, which is the side length of the square.
The area of the entire square, before we subtract off the circles, is 8^2 = 64 square inches.
Let A = 64
The area of one circle is pi*r^2 = pi*2^2 = 4pi square inches. Four circles combine to an area of 4*4pi = 16pi square inches.
Let B = 16pi
Subtract A and B to get the area of the shaded region, which is the leftover area after subtracting off the four circles
A-B = 64-16pi
To get the approximate answer, use a calculator
64-16pi = 13.7345175425633
The table shows the distance, y, a cheetah can travel in feet in x seconds.
Speed of a Cheetah
Time, x
(seconds)
5
10
Distance, y
(feet)
470
940
1,410
1,880
2,350
15
|
20
25
Based on the information in the table, which equation can be used to model the relationship between x and y?
a
Ob
OC
O d
y = 5x
y = x + 5
y = x + 470
y = 94x
what is the answer
Answer:D.y=94x
Step-by-step explanation:
Final answer:
The relationship between time and distance for the cheetah can be modeled by y = 94x.
Explanation:
The relationship between the time, x, and distance, y, for the cheetah can be modeled by the equation y = 94x. This equation corresponds to the pattern shown in the table where the distance traveled increases by 470 feet as the time increases by 5 seconds.
help ASAP pls :) brainly to whoever has the right answer first :D
Answer:
0.02 (rational)
2 (rational)
Square root of 2 (irrational)
Square root 1/2 (irrational)
Step-by-step explanation:
Rational numbers are numbers that can be in form of a/b such that a and b are not zeros. In other words, a and b are integers ranging from 1 to infinity.
Conversely, irrational numbers are numbers that are endless and are non repeating digits after decimal point.
Thus, from the questions above;
[tex]0.02 = \frac{2}{100} = rational \: number[/tex]
[tex]2 = \frac{2}{1} = rational \: number[/tex]
[tex] \sqrt{2} = 1.41421356 = irrational \: number[/tex]
[tex] \sqrt{ \frac{1}{2} } = 0.70710678 = irrational \: number[/tex]
Solve the equation -3/13 - 2/5 =
To solve the equation -3/13 - 2/5, find the common denominator, convert both fractions and then subtract them. The answer is -41/65.
Explanation:The question asks to solve the equation -3/13 - 2/5. To solve this, we need to find a common denominator for the fractions, which in this case is 65. We then convert each fraction to have this common denominator and subtract them.
Here is the step-by-step solution:
Find the Least Common Denominator (LCD) of 13 and 5, which is 65.Convert -3/13 to a fraction with a denominator of 65: (-3/13) imes (5/5) = -15/65.Convert 2/5 to a fraction with a denominator of 65: (2/5) imes (13/13) = 26/65.Now subtract the two fractions: -15/65 - 26/65 = -41/65.The answer to the equation is -41/65.
What is the volume of the triangular prism? Round to the nearest tenth.
A triangular prism. The triangular base has a base of 12 inches and height of 10.4 inches. The height of the prism is 19 inches.
118.6 inches cubed
748.8 inches cubed
1,085.6 inches cubed
1,185.6 inches cubed
Answer:
A= 1/2 Bh
1/2 (12)(10.4)
A=62.4
V= 62.4x19= 1185.6
Final answer is 1185.6
Step-by-step explanation:
You first need to find the area of the Prism than multiply with the height.
The solution is, Correct option D) 1,185.6 inches cubed, is the volume of the triangular prism.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
given that,
A triangular prism. The triangular base has a base of 12 inches and height of 10.4 inches. The height of the prism is 19 inches.
We need to find the volume of the triangular prism .
Let's find out:
We have following parameters :
b = 12
h = 10.4
l = 19
now, we know,
A= 1/2 Bh
so, we have,
A = 1/2 (12)(10.4)
A=62.4
We know that , Volume of triangular prism is :
⇒ V = 1/2 * bh* l
= A * l
so, we get,
V= 62.4x19
= 1185.6
Final answer is 1185.6
Hence, The solution is, Correct option D) 1,185.6 inches cubed, is the volume of the triangular prism.
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find x. round our answer to the nearest tenth of a degree.
Answer:
Step-by-step explanation:
From the given right angle triangle,
the hypotenuse of the right angle triangle is 6
With m∠x as the reference angle,
the adjacent side of the right angle triangle is the unknown side.
the opposite side of the right angle triangle is 4
To determine m∠x, we would apply
the sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin x = 4/6 = 0.67
x = Sin^-1(0.67)
x = 42.1° to the nearest tenth.
Solve for x: −2x − 4 > 8
Answer:
x < -6
Step-by-step explanation:
-2x -4 > 8
-2x +4 >+4
-2x >12
/-2 > /-2
x < -6
remember to flip the inequality sign whenever you divide by a negative number :)
Joan has 2 dozen golf balls how many golf balls does she have
Anwer:12
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
1 dozen= 12
12x2=24
use the venom diagram to calculate probabilities. which probability is correct?
Answer:
Wheres the diagram?
Step-by-step explanation:
A Venn Diagram is commonly used in probability theory to visualize and calculate probabilities. The probability of two conditions being met can be found by taking a sum of the probabilities of both conditions and their intersection, and subtracting the probabilities of each condition occurring separately. A Tree Diagram is another tool used to easily represent and calculate probabilities of multiple outcomes.
Explanation:The use of a Venn Diagram is a common strategy in probability theory to help visualize and calculate probabilities effectively. To begin solving these problems, label each piece of the Venn Diagram clearly and note the probability or frequency of each part. Start by labeling the overlapping section first.
In the case of calculating the probability that a student belongs to a club and works part-time, identify the overlapping section of the Venn Diagram that represents both these conditions. The probability of this will be the sum of the probabilities of the student belonging to a club, working part-time, and both these conditions minus the probabilities of each of these conditions occurring separately.
Another tool that can be useful for visualizing and calculating probabilities is a Tree Diagram. A tree diagram uses branches to represent the possible outcomes of a scenario, which makes it easier to visually work through and solve probability problems. For instance, to visualize the probability of a man developing cancer in his lifetime and having at least one false-positive test, a tree diagram could be used where one branch represents the man developing cancer and the other branch represents the man having a false-positive.
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A population is a group of a single species living in a certain area at a certain time. A community is all combination of all of the populations in an area
Answer:
The above definition of Population & Community of species is correct.
Step-by-step explanation:
Population is the group of organisms living together in same geographical area, at a point of time. Community is the group of all organisms living together in same geographical area, at a point of time.
Population is the smaller group of interbreeding individuals of same species, Community is a bigger group of different species sharing same geographical area.
Eg : Lions in a particular forest can be defined as 'population' ; & all the organisms in a particular forest can be defined as 'community'.
2. Jessica's grandparents gave her $2000 for college to put in a savings account until she starts
college in four years. Her grandparents agreed to pay her an additional 7.5% simple interest on
the $2000 for every year. How much extra money will her grandparents give her at the end of
four years?
Answer:
I =2000(0.075)4= $600
Step-by-step explanation:
The radius of a cylindrical construction pipes is 2ft if the pipe is 24 ft long what is its volume
V= (3.14)x(2²)x(24)= 301.592 ft³
Answer:
96π ft^3 or 301.59 ft^3 to the nearest hundredth.
Step-by-step explanation:
Volume = π r^2 L (r = radius L = length).
= π * 2^2 * 24
= 96π ft^3.
Solve for m.
12.6 + 4m = 9.6 + 8m
m
=
Answer:
m = 3/4
Step-by-step explanation:
12.6 + 4m = 9.6 + 8m
4m - 8m = 9.6 - 12.6
- 4m = - 3
- m = - 3/4
m = 3/4
Una piscina portátil ha tardado en llenarse seis horas utilizando cuatro grifos iguales. ¿Cuántos grifos, iguales a
los anteriores, serían necesarios para llenarla en 3 horas?
Para llenar la piscina en 3 horas, serían necesarios 8 grifos. Se aplica la regla de tres inversa: si aumentamos los grifos, disminuirá el tiempo requerido.
Explanation:Esta pregunta se resuelve aplicando la regla de tres inversa. Si cuatro grifos tardan seis horas en llenar la piscina, para llenarla en la mitad de tiempo (3 horas), serán necesarios el doble de grifos.
La regla de tres inversa señala que si aumentamos la cantidad de grifos, disminuirá el tiempo requerido para llenar la piscina y viceversa. En este caso, como queremos reducir el tiempo a la mitad, necesitaremos el doble de grifos. Entonces, necesitaremos 4 * 2 = 8 grifos para llenar la piscina en 3 horas.
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A recent study found that the life expectancy of a people living in Africa is normally distributed with an average of 53 years with a standard deviation of 7.5 years. If a person in Africa is selected at random, what is the probability that the person will die before the age of 65?
Answer:
P(X<65)=0.9452
Step-by-step explanation:
This is a normal distribution problem.
-Given the mean age is 53 years and the standard deviation is 75, the probability of dying before age 65 is calculated as:
[tex]z=\frac{\bar x-\mu}{\sigma}\\\\\\=\frac{65-53}{7.5}\\\\=1.60[/tex]
#We check the value of z=1.60 on the z table:
[tex]P(X<65)=0.5+0.4452\\\\=0.9452[/tex]
Hence, the probability of dying before 65 is 0.9452
the probability that the person will die before the age of 65 is 0.9452.
The calculation is as follows:[tex]P(X<65 ) = P[(X- \mu ) \div \sigma < (65 -53) \div 7.5][/tex]
= P(z <1.6 )
Now here we Using z table
So,
= 0.9452
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