. The cylinder shown below
has a diameter of 5.2 cm on
the base and a height of 7.1
cm. Label the
measurements and find the
volume of the cylinder.
Answers
We are given the diameter of 5.2 and the formula requires the radius so that would be (5.2/2) 2.6. The height of 7.1 is given. Now plug everything into the formula.
V=pi 2.6^2 7.1
Note: I am using 3.14 for pi
v= 150.7074 cm^3
Related Questions
What is the probability of getting the sum ‘10’, when you role 2 dices?
Answers
Answer:
total probability (1,1),(1,2),(1,3)(1,4) (1,5)(1,6)
(2,1) (2,2) (2,3) (2,4) (2,5)(2,6)
(3,1)(3,2)3,3 3,4) (3,5) (3,6)
(4,1) (4,2)(4,3)(4,4)(4,5)(4,6)
(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)
3/36=1/12
Step-by-step explanation:
If you dissolved 50 g of sugar in 30 g of water what would the sugar concentration be
Answers
Answer:
62.5%
Step-by-step explanation:
(mass of solute/mass of solution) x 100 = 62.5%
pls help immediately i need in 15 minutes
Answers
Answer:
23.75483
Step-by-step explanation:
I used a calculator lol
Mr. Haque is 21 years old. He is 3 times as old as Ms. Nahar. Write and solve an equation to determine Ms. Nahar's age,a.
Answers
Answer:
Ms. Nahar is 7 years old.
Step-by-step explanation:
21/7 =3
Answer:
She is 7 years old if he is 21
Step-by-step explanation:
21/3
37 hundredths= ____ tenths + ____ hundredths
Answers
Answer:
30 TENTHS + 7 HUNDREDTHS
Step-by-step explanation:
Please help me with this question.
Answers
The matrix products are given as follows:
a. AB = [58 -6 24]
[18 63 45]
[-22, -39, -33]
b. BA = [32 -26]
[10 56]
The addition A + B is not possible to obtain, the matrices have different dimensions.
How to multiply the matrices?The dimensions of each matrix are given as follows:
A = 3 x 2.B = 2 x 3.Hence the dimensions of each product are given as follows:
AB = 3 x 3.BA = 2 x 2.To multiply matrices, the rows of the first are multiplied by the columns of the second, hence matrix AB is obtained as follows:
Row 1, column 1: -7(-6) + 4(4) = 58.Row 1, column 2: -7(-2) + 4(-5) = -6.Row 1, column 3: -7(-4) + 4(-1) = 24.Row 2, column 1: -9(-6) - 9(4) = 18.Row 2, column 2: -9(-2) - 9(-5) = 63.Row 2, column 3: -9(-4) - 9(-1) = 45.Row 3, column 1: 7(-6) + 5(4) = -22.Row 3, column 2: 7(-2) + 5(-5) = -39.Row 3, column 3: 7(-4) + 5(-1) = -33.Hence the matrix AB is given as follows:
AB = [58 -6 24]
[18 63 45]
[-22, -39, -33]
Matrix BA is obtained as follows:
Row 1, Column 1: -6(-7) - 2(-9) - 4(7) = 32.Row 1, Column 2: -6(4) - 2(-9) - 4(5) = -26.Row 1, Column 1: 4(-7) - 5(-9) - 1(7) = 10.Row 1, Column 2: 4(4) - 5(-9) - 1(5) = 56.Hence the matrix BA is given as follows:
BA = [32 -26]
[10 56]
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Find the perimeter of each polygon
Answers
The perimeter of polygon ABC = 67.4
The perimeter of polygon PQRS = 78.8
What is the Perimeter of a Polygon?The perimeter of a polygon is calculated by adding the lengths of all sides of the polygon together.
What is the Two-tangents Theorem?The Two-Tangent Theorem states that if two tangents are drawn to a circle from the same external point, then the tangents are congruent (have the same length).
Perimeter of polygon ABC = AB + BC + AC
AB = 10.5 + (23.2 - 11.2) = 22.5 [based on the Two-Tangent Theorem]
BC = 23.2
AC = 10.5 + 11.2 = 21.7
Perimeter of polygon ABC = 22.5 + 23.2 + 21.7 = 67.4
Perimeter of polygon PQRS = PQ + QR + RS + PS
PQ = 25
PS = 21.8
QR = 13 + 4.6 = 17.6
RS = 4.6 + 9.8 = 14.4
Perimeter of polygon PQRS = 25 + 21.8 + 17.6 + 14.4 = 78.8
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Raquel trabaja en un banco. El banco en el que trabaja Raquel recibió una previsión de 1 024 monedas de 10 centavos. Cada rollo de monedas de 10 centavos contiene 8 monedas. ¿Cuántos rollos de 10 centavos recibió e banco?
Answers
Answer:
El banco recibió 128 rollos de monedas de 10 centavos.
Step-by-step explanation:
Para saber cuantos rollos de monedas de 10 centavos recibió el banco, podemos dividir el total de monedas recibido entre el número de monedas por rollo.
(1 024 monedas) / (8 monedas/rollo) = (x rollos)
Donde x es el número de rollos recibido. Para calcular x se divide 1 024 entre 8
x = 1 024 / 8
x = 128
Find a formula for the described function. A rectangle has perimeter 8 m. Express the area A of the rectangle as a function of the length, L, of one of its sides. State the domain of A
Answers
The domain of the area of the given rectangle is; 0 < A < 1
How to change the subject of the formula?The subject of a formula is defined as the variable that is being worked out. This subject of formula can be easily recognized as the letter that is on its own on one side of the equals sign. For example, in the formula for the area of a rectangle A = bh, the subject of the formula is A.
Now, we are told that the rectangle has perimeter of 8 m.
The formula for the perimeter of a rectangle is;
P = 2(L + W)
We are told that the perimeter is 8 m. Thus;
2(L + W) = 8
L + W = 4
W = 4 - L
Formula for area of a rectangle is;
A = LW
Thus;
A = L(4 - L)
A = 4L - 4L²
At A = 0, we have L = 0 OR 1
The value of A cannot be zero or 1 and as such the domain of A is the;
0 < A < 1
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Set up the equation to solve for the missing side length.
A
5
B
12
с
Answers
Answer:
The answer is, 5² + 12² = AC²
This is the Pythagorean theorem which states that sum of the squares of the two sides of a right angled triangle is equal to the square of the hypotenuse.
base² + height² = hypotenuse² or in this case, 5² + 12² = AC²
Pls mark as brainliest. I really need for no apparent reason. Cheers
what is the angle with tangent 1.125
Answers
Answer:
You can find the value of the tangent of any angle on a unit circle. Just draw a vertical line from the x-axis at either zero or pi until it intersects what is the extension of the radius through the angle. The length of that vertical line is the value of the tangent at the angle in question.
Step-by-step explanation:
In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).
Helpful Tip!:)
f(x) = √(x + 7), g(x) = √(x - 7)
Find the domain of f.
Answers
Answer:
[tex]x\ge -7[/tex]
Step-by-step explanation:
Square Root Function:The square root function has a domain consisting of numbers greater than or equal to zero. This excludes negative numbers since the square root of a number, when multiplied by the same square root of a number results in the original number: [tex]y=\sqrt{x}\implies y*y=x[/tex]. If we wanted the square root of a negative number, we would need a number which multiplies by it self to get a negative number, but as you may recall, if we square a real number, we always get a positive. So negative numbers are not included in the domain (although there are imaginary solutions)
So we just need the inside of the square root to be greater than or equal to zero. Thus we can derive: [tex]x+7\ge 0[/tex] and then just subtract 7 from both sides to simplify: [tex]x\ge -7[/tex] and now we have our domain in interval notation.
HELP!
The Sum of three consecutive odd integers is 93 Find the integers
Answers
Therefore, the three consecutive odd integers that add up to 93 are 33, 35, and 37.
Find the integers?The sum of three consecutive odd integers is 93. This means that the integers must be odd numbers that come after each other in order.If we look at this problem another way, we can say that the integers must add up to 93.Since odd integers only come in odd numbers, we can divide 93 by 3 to get 31.This means that the three consecutive odd integers must add up to 31 each.Starting with the first integer, we can see that it must be an odd number that is divisible by 3. The first odd integer that is divisible by 3 is 33. Now that we have the first integer, we can use this number to find the other two.To do this, we must add 2 to 33 to get 35. This is the second integer. To get the third integer, we must add 2 to 35 to get 37.To learn more about the integers refer to:
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What is the surface area? 11 ft 26 ft 21 ft
Answers
The surface area of the triangular prism is 416 yd²
What is an equation?An equation is a expression that shows the relationship between numbers and variables.
The surface area of a solid object is the total area that the surface of the object occupies.
From the diagram:
Surface area = 2(10 yd * 10 yd) + 2(0.5 * 12 yd * 8 yd) + (10 yd * 12 yd) = 416 yd²
The surface area is 416 yd²
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Arianys invests money in an account paying a simple interest of 3% per year. If m
represents the amount of money she invests, which expression represents her balance
after a year, assuming she makes no additional withdrawals or deposits?
Answers
Adrian must multiply his money by 1.03 to find his total balance in a year in one step.
What is simple interest?Borrowers must pay simple interest to lenders as a fee for a loan. Compound interest is not taken into account while calculating it; just the principal is used. Simple interest is applicable to all loans. It is also the form of interest that banks give their customers on their savings accounts. There are two techniques to compute interest: simple interest and compound interest. The principal, or initial amount of a loan, is used to compute simple interest. Compound interest, sometimes known as "interest on interest," is calculated using both the original amount and the total accumulated interest from prior periods.The following calculation must be done in order to determine what Adrian should multiply his current balance by in order to find his total balance in a year in one step, assuming that no money will be added to or subtracted from the investment. Adrian invests money in an account that offers simple interest of 3% per year.
Current balance = X
Interest = 3% = 3/100 = 0.03
Interest + principal = 1.03
1.03X = Total balance in a year
Therefore, Adrian must multiply his money by 1.03 to find his total balance in a year in one step.
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A triangle has two sides with lengths 7 yards and 9 yards, and an included angle measuring 49 degrees. Find the area of the triangle.
Provide an answer accurate to the nearest hundredth.
Answers
The area of a triangle can be calculated if we know the lengths of all three sides of the triangle or the lengths of two sides and the measure of the included angle. In this case, we are given the lengths of two sides of the triangle (7 yards and 9 yards) and the measure of the included angle (49 degrees).
To find the length of the third side we can use the Law of Cosines. Which states that, in a triangle with sides a, b and c, and an angle C opposite to side c, c² = a² + b² - 2ab * cos(C).
In this case, a = 7, b = 9 and C = 49. So, we can calculate the value of c which is the length of the third side. Once we have this value, we can use Heron's formula, which states that the area of the triangle is equal to √(s(s-a)(s-b)(s-c)), where s is the semiperimeter of the triangle (s = (a+b+c)/2).
By using these formulas we can calculate the area of the triangle which is approximately 25.38 square yards.
I hope this helps :)
Decide whether parallelogram JKLM is a rectangle, a rhombus, or a square. Give all names that apply.
J(3, 1), K(3, — 3), L(-2, -3), M( − 2, 1)
Orectangle
Orhombus
square
Explain your reasoning.
O The sides are perpendicular and not congruent.
O The diagonals are perpendicular but not congruent.
O The sides are congruent and not perpendicular.
The diagonals are congruent and perpendicular.
Answers
the parallelogram JKLM is a square.
What is square?
Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognized by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.
We are given that rajiv wishes to make a cube without lid with cardboard.
JM = -5² = 25
KL = -5² = 25
JK = -4²=16
LM =-4²=16
So, the parallelogram JKLM is a square.
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What is the area (in square centimeters) of a rectangle that is 6.5 centimeters long and 2.4 centimeters wide?
Answers
l=6.5
w=2.4
A=15.6
Answer:
Area = 15.6 cm²
Step-by-step explanation:
Area of a rectangle = long * wide
Then:
Area of a rectangle = 6.5 cms * 2.4 cm
Area of a rectangle = 15.6 cm²
Betina is going to put floor tiles down in the bathroom. Each tile is a square and measures 75mm down one side. What is the area of one tile? mm²
Answers
Answer:
5625mm²
Step-by-step explanation:
The area of a square is found by multiplying the length of one side by itself. So if each tile is a square and measures 75mm on one side, then the area of one tile is:
75mm x 75mm = 5625mm²
graph the following system of equations and find the x coordinate of the soloution x3=3y=3 y=1/2x+2
Answers
Answer:
infinitely many solutions and x=y
Find the sum of the first seven terms of the geometric sequence series having the following information: 2-8+32- … +a n
Answers
Answer:
6554-------------------------------
From the given information we can see:
The first term is a = 2,Common ratio is r = - 4Use the equation for the sum of the first n terms:
Sₙ = a(rⁿ - 1)/(r - 1)S₇ = 2((-4)⁷ - 1)/(-4 - 1) = 6554Answer:
[tex]S_7=6554[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7 cm}\underline{Sum of the first $n$ terms of a geometric series}\\\\$S_n=\dfrac{a(1-r^n)}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}[/tex]
Given geometric series:
[tex]2-8+32-...+a_n[/tex]
The first term (a) of the sequence is 2:
[tex]\implies a=2[/tex]
To find the common ratio (r), divide consecutive terms:
[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{-8}{2}=-4[/tex]
To find the sum of the first 7 terms, substitute the found values of a and r into the formula, along with n = 7:
[tex]\implies S_7=\dfrac{2(1-(-4)^7)}{1-(-4)}[/tex]
[tex]\implies S_7=\dfrac{2(1-(-16384))}{5}[/tex]
[tex]\implies S_7=\dfrac{2(16385)}{5}[/tex]
[tex]\implies S_7=\dfrac{32770}{5}[/tex]
[tex]\implies S_7=6554[/tex]
5. An engineer typically makes 50% more than a school teacher. What is the engineer's income as a percentage of the school teacher's income. How many times as large as the teacher's income is the engineer's?
Answers
Answer:
If an engineer typically makes 50% more than a school teacher, then the engineer's income is 150% of the school teacher's income. Because 100% represents the school teacher's income, and 50% represents the engineer's additional income, the sum is 100%+50% = 150%.
The engineer's income is also 1.5 times as large as the school teacher's income. This can be found by dividing the engineer's income percentage (150%) by the school teacher's income percentage (100%), which gives 150% / 100% = 1.5.
So the engineer's income is 150% of the school teacher's income, and it is 1.5 times as large as the school teacher's income.
- C
In the schoolyard we were 80 children playing soccer. After a while more children signed up and now we are 22 children in the camp. How many new children have come?
Answers
Answer: 21 new children have come.
Step by step explanation:Data :
In the schoolyard we were = 80 children playing soccerAfter a while more children signed up = and there were 22 childrenHow many new children have come = ?We simply have to subtract the number of children playing from the number of children who arrived after a while:
[tex]\bf \: 43 - 22 = 21[/tex]
We check:
[tex]\bf \: 22 + 21 = 43[/tex]
Rpt: 21 new children have come.
Two girls divided $1.60 in the ratio 5 : 3. How much more does one girl get than the other?
Answers
let's convert those $1.60 to pennies, that's 160 pennies, now, let's divide those 160 by (5 + 3) and distribute between the girls accordingly
[tex]\stackrel{Girl1}{5}~~ : ~~\stackrel{Girl2}{3} ~~ \implies ~~ \stackrel{Girl1}{5\cdot \frac{160}{5+3}}~~ : ~~\stackrel{Girl2}{3\cdot \frac{160}{5+3}} ~~ \implies ~~ \stackrel{Girl1}{5\cdot 20}~~ : ~~\stackrel{Girl2}{3\cdot 20} \\\\\\ \stackrel{Girl1}{100}~~ : ~~\stackrel{Girl2}{60}\qquad \textit{one girl got \underline{40 more cents } than the other girl}[/tex]
Which graph represents the inequality -2x + 3y > 12?
Answers
Answer:
y>\frac{2}{3} x+4
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
Hope this helps :)
A $5000 loan at 5% dated July 5 is due to be paid on November 10.calculate the amount of interest. assuming ordinary interest
Answers
Answer:
$250
Step-by-step explanation:
because we have to do 5,000 of 5% = 250 in sale's tax or interest.
The solution is, $250 is the amount of interest.
What is interest?Interest is the outlay you pay to borrow money. Interest is often deliberated as an annual percentage of a loan amount.
here, we have,
Explanation:
given that,
A $5000 loan at 5% dated July 5 is due to be paid on November 10.
Since the borrower is to pay 5% of the money by November 10(Due time)
so, we get,
5% of the principal is simply
(5/100)* 5000
= $250
Hence, The solution is, $250 is the amount of interest.
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Anderson multiplies two rational expressions with the
following results. Describe his error. Then find the correct product.
Answers
Anderson's mistake in solving the rational expression, is he cancelled out variable and numbers without taking them in common.
What is a rational expression?A rational expression is the ratio of two polynomials. If f is a rational expression, then f can be written in the form p/q where p and q are polynomials.
Given that, Anderson multiplies two rational expressions with the following results.
The given expression is [tex]\frac{x^{2} -16}{x^{2} -8x+16} . \frac{x+1}{x^{2} +2x+1} = \frac{-1}{-8x(x^{2} +2)}[/tex]
His error is, he cancelled out the variables and numbers without taking them common, we can not cancel variables and numbers if they are in addition or subtraction with other variables and numbers.
Hence, the correct solution is;
[tex]\frac{x^{2} -16}{x^{2} -8x+16} . \frac{x+1}{x^{2} +2x+1}\\\\= \frac{(x+4)(x-4)}{x^{2} -4x-4x+16} . \frac{x+1}{x^{2} +x+x+1} \\= \frac{(x+4)(x-4)}{(x-4)(x-4)} .\frac{x+1}{(x+1)(x+1)} \\=\frac{x+4}{(x-4)(x+1)}[/tex]
Hence, the correct solution is [tex]=\frac{x+4}{(x-4)(x+1)}[/tex]
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A group of people were asked how many people live in their household. How many said they have 3 or more in their household?
Answers
Answer:
11
Step-by-step explanation:
we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7
a flower bed is the shape of a triangle with one side twice the length of the shortest side and the third side is
25 feet more than the length of the shortest side. find the dimensions if the perimeter is 133 feet
Answers
The dimensions of the sides of the triangular flower bed are 27ft, 54ft and 52ft.
What are the dimensions of the triangular flower bed?A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.
Given the data in the question;
Let the shortest side b x.
Shortest side = xSecond side = 2xThird side = x + 25Perimeter = 133 ftSince a triangle has three side, the perimeter of the triangle will be;
Perimeter = side 1 + side 2 + side 3
Plug in the values and solve for x
133 = x + 2x + x +25
133 = 4x + 25
133 - 25 = 4x
108 = 4x
4x = 108
x = 108/4
x = 27
Therefore, the dimensions of the flower bed are;
Shortest side = x = 27ft
Second side = 2x = 2( 27) = 54 ft.
Third side = x + 25 = 27 + 25 = 52 ft
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Simplify the expression to a + bi form:
(
−
8
+
�
)
+
(
2
+
2
�
)
(−8+i)+(2+2i)Simplify the expression to a + bi form:
(
−
8
+
�
)
+
(
2
+
2
�
)
(−8+i)+(2+2i)
Answers
The simplified form of the given expression is 3(i-2)
What are expressions?A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms. For example, in the expression 4x + y, the two terms are 4x and y.
Given is an expression, (−8+i)+(2+2i)
Simplifying the expression,
(−8+i)+(2+2i)
= -8 + i + 2 + 2i
= -8+2+2i+i
= -6+31i
= 3(i-2)
Hence, the simplified expression is 3(i-2)
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