Answers
Answer:
Option D.
[tex]A =96\pi\ cm^2[/tex]
Step-by-step explanation:
The area of the circular bases is:
[tex]A_c = 2\pi(a) ^ 2[/tex]
Where
[tex]a=4\ cm[/tex] is the radius of the circle
Then
[tex]A = 2\pi(4) ^ 2[/tex]
[tex]A = 32\pi\ cm^2[/tex]
The area of the rectangle is:
[tex]A_r=b * 2\pi r[/tex]
Where
[tex]b=8\ cm[/tex]
b is the width of the rectangle and [tex]2\pi r[/tex] is the length
Then the area of the rectangle is:
[tex]A_r=8 * 2\pi (4)[/tex]
[tex]A_r=64\pi\ cm^2[/tex]
Finally the total area is:
[tex]A = A_c + A_r\\\\A = 32\pi\ cm^2 + 64\pi\ cm^2\\\\[/tex]
[tex]A =96\pi\ cm^2[/tex]
Answer:
The correct answer is option B. 96π
Step-by-step explanation:
Points to remember
Surface area of cylinder = 2πr(r + h)
Where r is the radius of cylinder and h is the height of cylinder.
From the figure we get r = 4 cm and h = 8 cm
To find the surface area of cylinder
Surface area = 2πr(r + h)
= 2π * 4(4 + 8)
= 96π
The correct answer is option B. 96π
Related Questions
Simplify the rational expression. X^2+3x+2/x^2+6x+5
A. X+2/X+5
B.3x+2/6x+5
C. X+2/2x+5
D. 3/7
Answers
Answer:
[tex]\large\boxed{A.\ \dfrac{x+2}{x+5}}[/tex]
Step-by-step explanation:
[tex]x^2+3x+2=x^2+x+2x+2=x(x+1)+2(x+1)=(x+1)(x+2)\\\\x^2+6x+5=x^2+x+5x+5=x(x+1)+5(x+1)=(x+1)(x+5)\\\\\dfrac{x^2+3x+2}{x^2+6x+5}=\dfrac{(x+1)(x+2)}{(x+1)(x+5)}\qquad\text{cancel}\ (x+1)\\\\=\dfrac{x+2}{x+5}[/tex]
Simplify the trigonometric expression. Is this the correct answer?
Answers
Answer:
[tex]\boxed{\tan \theta}[/tex]
Step-by-step explanation:
[tex]\dfrac{\tan \theta }{\sin^{2} \theta + \cos^{2} \theta}[/tex]
Use the trigonometric identity
[tex]\sin^{2}\theta + \cos^{2}\theta = 1[/tex]
Then,
[tex]\dfrac{\tan \theta }{\sin^{2} \theta + \cos^{2} \theta} = \dfrac{\tan \theta }{1} = \boxed{\tan \theta}[/tex]
The correct option is d. tan θ. The simplified expression is [tex]\(\tan\ \theta\)[/tex].
The expression you provided is:
[tex]\[ \frac{\tan\ \theta}{\sin^2 \theta + \cos^2 \theta} \][/tex]
We know that [tex]\(\sin^2 \theta + \cos^2 \theta = 1\)[/tex] due to the Pythagorean identity for sine and cosine.
So, the expression simplifies to:
[tex]\[ \frac{\tan\ \theta}{1} = \tan\ \theta \][/tex]
Therefore, the correct simplified expression is [tex]\(\tan\ \theta\)[/tex].
The complete question is:
Simplify the trigonometric expression.
[tex]\[ \frac{\tan\ \theta}{\sin^2 \theta + \cos^2 \theta} \][/tex]
Select the correct answer:
a. cos θ +sin θ
b. cot² θ
c. cot θ
d. tan θ
A fish aquarium that needs water measures 5ft long by 3 feet wide by 2 feet tall. If Josh only has has 12ft of water, how much more water will be needs to fill the tank
Answers
Answer:
Step-by-step explanation:
18 ft
Answer: 18 ft (technically water isn't measured in feet but who cares :)
Step-by-step explanation: 5*3*2=x-12--------- 30=x+12-----x=18
pls help just one question
Answers
Answer:
A
Hope This Helps! Have A Nice Day!!
Find the surface area of the sphere
Answers
Answer:
[tex]\large\boxed{256\pi\ sq.in.}[/tex]
Step-by-step explanation:
The formula of a surface area of a sphere:
[tex]S.A.=4\pi R^2[/tex]
R - radius
We have R = 8 in. Substitute:
[tex]S.A.=4\pi(8^2)=4\pi(64)=256\pi\ in^2[/tex]
The solution to 2 × 27 will be what kind of number? A. Odd B. Perfect square C. Even D. Prime
Answers
Answer:
C. Even
Step-by-step explanation:
Any multiple of 2 is an even number.
27 is 3³, so the result cannot be a perfect square.
The product of two numbers, neither of which is 1, cannot be prime.
the answer would be C. An even number
What is the value of x? Round to the nearest tenth. Please Need Help Badly.
Answers
Answer:13.1
Step-by-step explanation:first note that 13.1 had two parts 13 and 1
13.1 has one digit in the fractional part thus 13.1 is already rounded as much as possible to the nearest tenth the answer is 13.1
Which expression is equivalent to (-18)-64n
A)-2(9-32n)
B)2(9-32n)
C)-2(9+32n)
D)2(9+32n)
Answers
Answer:
C)-2(9+32n)
Step-by-step explanation:
The given expresion is
[tex] - 18 - 64n[/tex]
We can rewrite this expression as:
[tex] - 2 \times 9 + - 2 \times 32n[/tex]
We factor -2 to obtain:
[tex] - 2(9 + 32n)[/tex]
Note that, we can use the distributive property to obtain:
[tex] - 2(9 + 32n) = - 18 - 64n[/tex]
Therefore the correct answer is C)-2(9+32n)
The expression equivalent to (-18)-64n is option A: -2(9-32n). This is because when you distribute the -2 across the terms in the parentheses, it gives you the original expression.
Explanation:To find which expression is equivalent to (-18)-64n, we can factor out the greatest common factor (GCF) from each term. The GCF of -18 and -64n is -2. Thus, when we factor out -2, we are left with:
(-18)-64n = -2(9 + 32n).
But we have to pay attention to our signs; we should distribute -2 within the parentheses to check our result:
-2 × 9 = -18
-2 × 32n = -64n
Thus, option A -2(9-32n) is the correct equivalent expression, as the negative sign in front of the parentheses will switch the signs of the terms inside when distributed. Options B, C, and D either lack the necessary negative sign or have the incorrect sign for 32n.
How to solve 105x2 +66x - 72 = 0 algebraically. Show work please
Answers
Answer:
Do pemdas, (parentheses, exponents, multiplication, division, addition and subtraction). But do whatever is first, which in this case is multiplication.
Step-by-step explanation:
Write the equation out.
105 x 2 + 66x -72 = ?
105 x 2 = 210
210 + 66x - 72
210 + 66x = 276x
276x - 72 = 204
? = 204
Translate ∆ABC by moving it 5 units to the right and 2 units up.
Answers
To translate a triangle by moving it 5 units to the right and 2 units up, you add 5 to the x-coordinates and 2 to the y-coordinates of all its vertices.
Explanation:To translate riangle ABC by moving it 5 units to the right and 2 units up, you would perform the following steps:
Select riangle ABC.Move each point of riangle ABC 5 units to the right. This is done by adding 5 to the x-coordinate of each vertex of the triangle.Then, move each point of riangle ABC 2 units up. This is done by adding 2 to the y-coordinate of each vertex of the triangle.The new position of riangle ABC is the result of this translation.This transformation doesn't change the shape or size of riangle ABC; it merely repositions it on the coordinate plane.
Which net represent the solid?
Answers
Answer: Figure one
Step-by-step explanation: this is a very very easy question and i will explaing it for you :) So basically all your doing is folding a peice of paper. If you look closley at figure two you can see that if you fold that it wont even turn into a shape. And if you look at figure three it has uneven sides when a square has all even sides. So your only valid option would be figure one because that would fold in to a square
I hope i helped you figure this out A thanks and a brainlist would be greatly appreciated :)
The definition of cube root
Answers
Answer:
The number which produces a given number when cubed.
Step-by-step explanation:
cube root
the number which produces a given number when cubed.
PLZ MARK BRAINLIST!!!
the number which produces a given number when cubed.
what is the remainder when 9,857 is divided by 82? A) 16 B) 17 C) 19 D) 21
Answers
Answer:
B) 17
Step-by-step explanation:
9857/82=120.....
120*82=8940
9857-9840=17
ANSWER
B) 17
EXPLANATION
We want to find the remainder when, 9857 is divided by 82.
We carry out the long division as shown in the attachment.
We can see that
[tex]9857 = 82 \times 120+ 17[/tex]
Hence the remainder is 17.
The correct answer is B.
Which of the following is a binomial?
A) 8x^5
B) 11x+18
C) 14x^2+5x+12
D) 4/x
Answers
If I am correct the best option would be answer B
if it cost $6 to fill a gas tank in 1970 for $0.36, how much would it have cost to fill the same tank in 2010 for $2.84
Answers
7.8889 I think so so I divided 2.84%39=7.8889
Final answer:
To find the 2010 cost of filling a gas tank based on 1970 prices, divide the 1970 total cost by the price per gallon to find the number of gallons, then multiply that by the 2010 price per gallon. The cost to fill the same tank in 2010 would be $47.34.
Explanation:
The question is asking to calculate the cost of a full tank of gas in 2010 based on the cost from 1970. To find out how much it would cost in 2010, we need to first determine the number of gallons that could be bought for $6 in 1970 at $0.36 per gallon. This can be calculated by dividing $6 by $0.36, which equals 16.67 gallons (approximately). Now, assuming the tank size has not changed, to find out the cost in 2010, we multiply the number of gallons by the 2010 price per gallon. Thus, 16.67 gallons multiplied by $2.84 per gallon equals $47.34.
A pyramid has a square base with side s. The height of the pyramid is 2/3 that of its side. What is the expression for the volume of the pyramid?
A) V = 2s^2
B) V = 2s^3
C) V = 2/3s^2
D) V = 2/9s^3
E) V = 1/3s^3
Random answers will be reported!
Answers
Answer:
The correct option is option D
Step-by-step explanation:
The volume of a pyramid is:
V=1/3(B)(H)
Where
B:Base = s^2
H:Height = 2/3s
Then:
V=1/3(B)(H) = 1/3(s^2)(2/3s) = 2/9s^3
The correct option is option D
Answer:
answer is V= 2/9 s3 is correct
Find the slope of this line
Answers
Answer:
5/4
Step-by-step explanation:
look to the right of the graph where the red dot is at then go over to the dot, then you count down until you get to the line.
We can use the points (2, 1) and (4, 6) to solve.
Formula: y2-y1/x2-x1
= 6-1/4-2
= 5/2
Best of Luck!
92. Rachel is baking cookies. She needs 1/4 cup of
oil. She notices that her measuring devices are
only marked in ounces, not cups.
How many ounces of oil will Rachel need
Answers
Answer:
2 fluid ounces
Step-by-step explanation:
F(x) = x^2. What is g(x)?
Answers
Answer:
Option B. g(x)=(1/4 x)^2
Step-by-step explanation:
what is the standard form of (1+2 square root of -3) / (1+ square root of -3)
Answers
Answer:
Step-by-step explanation:
[tex]\[\frac{1+2\sqrt{-3} }{1+\sqrt{-3} } =\frac{1+2\sqrt{-3} }{1+\sqrt{-3} } \times \frac{1-\sqrt{-3} }{1-\sqrt{-3} } =\frac{(1+2\sqrt{-3})(1-\sqrt{-3} ) }{1^{2}-(\sqrt{-3})^{2} } =\frac{1+2\sqrt{-3}-\sqrt{-3}-2(\sqrt{-3} )^{2} }{4} =\frac{1+\sqrt{-3}+6 }{4} =\frac{7+\sqrt{-3} }{4} \][/tex]
Twelve glass beakers have a solution of hydrochloric acid of different quantities. The amount of solution, in milliliters, in each glass beaker is shown.
{15, 10, 16, 6, 20, 8, 22, 14, 9, 13, 27, 25}
What is the range in the quantity of hydrochloric acid?
Answers
Answer:
21
Step-by-step explanation:
the range is the highest minus the lowest
27-6=21
Answer:
21 milliliters
Step-by-step explanation:
We first need to arrange the quantities from the least to the largest.
i.e {6, 8, 9, 10, 13, 14, 15, 16, 20, 22, 25, 27}
Range of this set of data is = largest quantity - least quantity = 27 - 6 = 21 milliliters
Find the Sin A, Cos A, and Tan A. (Write your answer as simplified ratios.)
Answers
Answer:
see explanation
Step-by-step explanation:
sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex], thus
sinA = [tex]\frac{2\sqrt{19} }{20}[/tex] = [tex]\frac{\sqrt{19} }{10}[/tex]
--------------------------------------------------------------------------------------------
cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex], thus
cosA = [tex]\frac{18}{20}[/tex] = [tex]\frac{9}{10}[/tex]
-------------------------------------------------------------------------------------------
tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex], thus
tanA = [tex]\frac{2\sqrt{19} }{18}[/tex] = [tex]\frac{\sqrt{19} }{9}[/tex]
A regular octagon is inscribed in a circle with a radius of 5 feet. What is the area of the octagon
Answers
Answer:
70.58 ft²
Step-by-step explanation:
One pie-shaped sub-area of this octagon has two sides of length 5 ft and a central angle of 360°/8, or 45°. We need to find the area of one such sub-area and then multiply the result by 8 to find the total area of the octagon.
Picture this pie-shape, this isosceles triangle with two sides of length 5 ft and central angle 45°. Half of that angle is 22.5°. Half of the base of this triangle is 5 sin 22.5°, or 1.91; the full base length is twice that, or 3.82. the height of the triangle is 5 cos 22.5°, or 4.62.
The formula for the area of a triangle is
A = (1/2)(base)(height), which in this case is:
A = (1/2)(3.82 ft)(4.62 ft) = 8.82 ft²
and so the area of the whole octagon is 8(8.82 ft²), or 70.58 ft²
Answer:
D) 70.7
Step-by-step explanation:
I got it right
According to this diagram, what is tan 67° ?
Answers
Answer:
B. 12/5
Step-by-step explanation:
tan=opp. leg/adj. leg
tan 67= 12/5
According to this diagram, the tan67° is 12/5.
What is the tan67° from the given diagram?In Trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.In other words, it is the ratio of sine and cosine function of an acute angle such that the value of cosine function should not equal to zero.⇒ tan67° = perpendicular/base = 12/5.
Hence, the value of tan67° is 12/5.
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which object has no line segments?
A. Rectangle
B. Hexagon
C. Circle
D. Pentagon
Answers
Answer:
C. Circle
Step-by-step explanation:
A, B, and D are all composed of straight line segments. However a circle is one continuous, rounded line (not a segment).
A circle is an object that has no line segments.
Why circle has no line segment?A circle doesn't have line segments because it is a curve that is not made up of straight lines.A circle doesn't have a line segment because a line segment is defined as a portion of a straight line of infinite thickness between two points whereas a circle is not having a single straight line.A circle is curved it cannot be formed from a line segment and thus does not fit the conditions needed to be a polygon.The only line segment that a circle has is inside it i.e., the diameter is the one and only line segment inside the shape.Hence, a circle is an object that has no line segment.
Therefore, Option C is the correct answer.
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What is the greatest common factor of 15 and 5?
Answers
Answer:
Step-by-step explanation:
5
(Answer:5)The greatest common factor of 15 and 5 is, 5
Write a story problem where the answer is 7?
Answers
Answer: I have 4 cookies, I but 3 more cookies, how many cookies do I have now? I have 7 cookies
Step-by-step explanation:
A story problem where the answer is 7 is given above.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have number 7.
The question problem is as follows -
There are 77 chocolates and 11 childrens. How many chocolates should be given to each child such that each one gets equal number of chocolates.
Solution -
Assume each child gets [x] chocolates. Then -
11x = 77
x = 7
Therefore, a story problem where the answer is 7 is given above.
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look at the picture and plzzz help
Answers
Answer:
option B
option D
Step-by-step explanation:
1)
First we will remove radical sign as[tex]\sqrt[n]{x}=x^{\frac{1}{n} }[/tex] and then multiply the powers.
[tex]\sqrt[3]{4^{5}}=(4^{5})^{\frac{1}{3}}=4^{\frac{5}{3} }[/tex]
2)
The "power rule" tells us that to raise a power to a power, just multiply the exponents.
([tex]4^{15}[/tex])[tex]^{\frac{1}{3}}=4^{15.\frac{1}{3}}=4^{5}[/tex]
6(x+xy)-5(y+2xy) how do I solve this problem?
Answers
[tex]
6(x+xy)-5(y+2xy)=6x+6xy-(5y+10xy) \\
6x+6xy-5y-10xy \\
\boxed{6x-5y-4xy}
[/tex]
Answer:
To solve this problem you would have to distribute the 5 and the 6. Once that is completed you would find the matching pairs and add or subtract them.
The answer is: 6x-4xy-5y
Step-by-step explanation:
Which of these triangle pairs can be mapped to each other using a reflection and a translation?
Answers
Answer:
second option
Step-by-step explanation:
The triangle pairs that can be mapped to each other using a reflection and a translation are option (b).
The following statement will clarify how that triangle pair is mapped to each other using a reflection and a translation:A translation moves a shape left or right and/or up or down.The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have shifted in one or more directions. There is no change in the shape.In Geometry, a reflection is known as a flip.A reflection is a mirror image of any given shape.Reflection is flipping an object across a line without changing its size or shape whereas Translation is sliding a figure in any direction without changing its size, shape, or orienattion.To graph a translation, perform the same change for each point. We can identify a reflection by the changes in its coordinates.Hence, the correct answer is option (b).
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