Answers
Answer:
6) B
7) D
Step-by-step explanation:
6)
The surface area of a cylinder is 2 * pi * r * (r + h)
SA = 2 * 3.14 * 3.6 * (3.6 + 8.5) = 2 * 3.14 * 3.6 * 12.1 = 273.6 cm^2
7)
The volume of a cylinder is pi * r^2 * h
V = 3.14 * (3.6)^2 * 8.5 = 345.9 cm^3
Answer:
6. surface area= 2πrh
where r=radius of the base
h=height of the cylinder
π=pie
π=22/7, r=3.6, h=8.5
2×22/7×3.6×8.5= 192.3cm²
square root of 192.3 is 13.9, the one whose square root is closest to that of 192.3 in the options is 178 whose square root is 13.3. A
7. volume=product of the height and its base area
volume=πr²h
22/7×3.6²×8.5 = 346.2. D
Related Questions
Question 5 of 10
Choose the symbol that correctly compares the fracti-
-IN
113
1/2 1/2
A. >
B. =
C.
Answers
The equation -x = y + 7 written in slope-intercept form is
Answers
Answer:
y= -x-7
Step-by-step explanation:
Slope intercept form: y = mx + b
m = slope
b = y intercept
The first thing you must do is isolate y so that it is by itself on the left side of the equation:
-x = y + 7
Subtract 7 to both sides:
-x - 7 = y + 7 - 7
-x - 7 = y
Flip:
y = -x - 7
-x = y + 7 in slope intercept form is y = -x - 7
This means the slope is -1 and the y-intercept of the equation is (0, -7)
What are the zeros of f(x) = (x-7)(x - 3)(x - 2)?
07, -3, 2
07, -3, -2
07, 3, 2
07, 3, -2
Answers
Answer:
7, 3, 2
Step-by-step explanation:
Answer:
Option C,
07, 3, 2
Step-by-step explanation:
Set all zeros to 0
(x-7)=0
x= 7
(x-3)=0
x= 3
(x-2)=0
x= 2
7, 3, 2
Triangle ABC is a right triangle with CD | AB. Angle C is a right angle.
(BC)²+(AC)² = (AB)(BD + AD). Using
gives Blank space for answering Question.
(BC)²+(AC)=(AB) (AB), which simplifies to (BC)2 + (AC)2 = (AB)2
Possible answers
CPCTC
Side-Angle-Side Similarity Postulate
congruent
Side-Side-Side Similarity Postulate
segment addition postulate
proportional
Answers
First blank: Side-Angle-Side similarity postulate
Second blank: proportional
please help this is so confusing
Answers
You want to replace the x in the expression x^2-2x with 6
36-12
24
Hope this helps
Answer:
f(x)=f(6)= 6^2 - 2*6=36-12= 24
Step-by-step explanation:
This is a function, so we replace x with 6. When we do this, we use it to replace x in the above equation, so instead of having x^2-2x, we have 6^2 -2x. Then we just solve the equation, leaving us with the final solution of 24.
Find the value of cos N rounded to the nearest hundredth, if necessary.
Answers
cos N = 14/20 = 0.70
Simplify 4^3/4^8 so that it is not in fraction form.
Answers
Answer:
[tex]4^{-5}[/tex]
Step-by-step explanation:
using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]\frac{4^{3} }{4^{8} }[/tex] = [tex]4^{(3-8)}[/tex] = [tex]4^{-5}[/tex]
Select the two binomials that are factors of 49x^2 - 36
A. 7x + 12
B. 7x - 3
C. 7x + 6
D. 7x - 6
Answers
By definition of the subtraction of squares, the binomial 49 · x² - 36 have the following two factors: 7 · x + 6, 7 · x - 6 (Correct choices: C, D)
How to find the factors of subtraction of squares
A subtraction of squares is a binomial which satisfies the following property:
a² - b² = (a - b) · (a + b) (1)
If we know that a² = 49 · x² and b² = 36, then we have the following factors:
49 · x² - 36 = (7 · x - 6) · (7 · x + 6)
By definition of the subtraction of squares, the binomial 49 · x² - 36 have the following two factors: 7 · x + 6, 7 · x - 6 (Correct choices: C, D)
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use your calc to work this out
Answers
B is 9.3361
I need this answer . I would be happy if I got it .
Answers
Answer:
15cm
Step-by-step explanation:
PC = 15
BR = 15
.
............................................
Select the graphs that show a proportional relationship between x and y
Answers
Question 33 of 45 You may use your calculator for this question. A particle moves along a line so that at time t where 0 ≤t≤n, its position is given by s(t)=-4 sint- t/2+10. What is the acceleration of the particle the 2 first time its velocity equals zero?
Answers
The particle's velocity at time [tex]t[/tex] is equal to the first derivative of its position at that time, and acceleration is the second derivative.
We have
[tex]s(t) = -4\sin(t) - \dfrac t2 + 10 \implies s'(t) = -4\cos(t) - \dfrac12 \implies s''(t) = 4\sin(t)[/tex]
Find when the velocity is zero:
[tex]s'(t) = -4\cos(t) - \dfrac12 = 0 \implies \cos(t) = -\dfrac18 \implies t = \cos^{-1}\left(-\dfrac18\right) \approx 1.696[/tex]
At this time, the acceleration of the particle is approximately
[tex]s''(1.696) \approx \boxed{3.969}[/tex]
(B)
Triangle ABC has vertices at A(1,2), B(4,0) and C(1,-4) Find the area of triangle ABC.
PLEASE EXPLAIN HOW YOU DID IT
Answers
The area of triangle ABC from the given vertices is gotten as; 7.5
How to find the area of a triangle?We are given the vertices of the triangle as;
A(1, 2)
B(4, 0)
C(1,-4)
The formula for area of a triangle with 3 vertices is;
Area = ¹/₂[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]
Thus;
Area = ¹/₂[1(0 + 4) + 4(-4 - 1) + 1(1 - 0)]
Area = ¹/₂(4 - 20 + 1)
Area = -7.5
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An unknown number b is 10 more than an unknown number k. The number b is also k less than 8. The equations to find k and b are shown below.
b=k+10
b=-k+8
Which is a correct step to find k and b?
O Write the points where the graphs of the equations intersect the x-axis.
O Write the points where the graphs of the equations intersect the y-axis.
O Add the equations to eliminate k.
O Multiply the equations to eliminate b.
Answers
Answer: Add the equations to eliminate k
Step-by-step explanation:
Adding the equations, you get 2b=18, which you can solve for b. Afterward, you can substitute this value of b back into either equation to solve for k.
Select all the correct graphs.
Choose the graphs that indicate equations with no solution.
Answers
Answer:
-2x - 1 = 3^(-x); 2^(-x) + 2 = -5^x + 3
Step-by-step explanation:
for this question you are choosing the lines that do not touch
the graphs for the second third and fourth ones all touch
but
the first and last one do not
therefore those are the ones with no solution
Answer:
Graph 1 and Graph 5
Step-by-step explanation:
As the first and final graphs do not intersect at any points on their graphs, they have no solution.
To solve the equation ‐2x + 5 = 9 for x, what operations must be performed on both sides of the equation in order to isolate the variable x?
Answers
Answer:
b.) Subtracting 5 then dividing both sides by -2
Step-by-step explanation:
Given expression:
⇒ -2x + 5 = 9
To solve this equation, first we need to remove the 5 on the left side. Then divide both sides by -2.
When done so:
⇒ -2x = 9 - 5
⇒ -2x = 4
⇒ -2x/-2 = 4/-2
⇒ x = -2
Does this graph represent a proportional relationship? Explain.
On a coordinate plane, a curved line has 2 curves.
Answers
Answer:
No, This graph does not show a proportional relationship. The graph of a proportional relationship is a straight line that passes through the origin.
Step-by-step explanation:
If the graph of a relationship is a line or a ray passes through the origin, then it is proportional. If it is a line or ray that does not pass through the origin, then it is not proportional.
So, it's clear that if a graph has to be proportional then the relationship between the variables should be represented by the graph of a straight line through the origin with a slope equal to the unit rate.
Given relationship is not proportional because they do not have a constant ratio nor does it pass through the origin. If the data on the graph shows a curved line, it is not constant and is not proportional.
For reference, you can check the attached image also.
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help me nowwwwwwwwww
Answers
The angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°
Angles in a polygonFrom the question, we are to determine the angle measurements that the carpenter needs to cut the carpet to make it fit in his room
The diagram shows a heptagon with two of its angles, a right-angle each, and the remaining angles have equal values, x.
First, we will calculate the sum of angles in a heptagon
The sum of angles in a polygon is given by the formula
Sum of angles in a polygon = (n-2)180°
Where n is the number of sides
For a heptagon, n = 7
∴ Sum of angles in a heptagon = (7-2)180°
= 5×180°
= 900°
Now, considering the given diagram, we can write that
x + x + x + x + x + 90° + 90° = 900°
5x + 180° = 900°
5x = 900° - 180°
5x = 720°
x = 720°/5
x = 144°
Hence, the angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°
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help me please number 8
Answers
Answer:
13
Step-by-step explanation:
square root of 12^2 + 5^2
Distribute and simplify these radicals.
[tex]\sqrt{12} times(-1+\sqrt{5} )[/tex]
Answers
Answer:
[tex]-2\sqrt{3} +2\sqrt{15}[/tex]
Step-by-step explanation:
When we simplify this equation, we have to multiply the numbers outside the parenthesis with the the numbers inside the parenthesis. In this equation, we have to multiply [tex]\sqrt{12}[/tex] by [tex]-1[/tex] , getting the answer of [tex]-\sqrt{12}[/tex], which can be further simplified into [tex]-2\sqrt{3}[/tex]. Next, looking at [tex]\sqrt{12}[/tex] × [tex]\sqrt{5}[/tex], we get [tex]\sqrt{60}[/tex], which can also be simplified further into [tex]2\sqrt{15}[/tex]. Now, adding up these two numbers get [tex]-2\sqrt{3} +2\sqrt{15}[/tex].
help please i dont get it
Answers
Answer:
(c) x = 2 and x = -8
Step-by-step explanation:
The rules of logarithms let you rewrite this as a quadratic equation. That equation will have two (2) potential solutions. We know from the domain of the log function that any negative value of x will be an extraneous solution.
__
The rules of logarithms that apply are ...
[tex]\log(a)+\log(b)=\log(ab)\qquad\text{all logarithms to the same base}\\\\\log_b(a)=c\ \Longleftrightarrow\ b^c=a\\\\[/tex]
__
take antilogsWe can rewrite the equation so that only one logarithm is involved. Then we can take antilogs.
[tex]\log_4(x)+\log_4(x+6)=2\\\\\log_4(x(x+6))=2\qquad\text{using the first rule}\\\\4^2=x(x+6)\qquad\text{using the second rule}[/tex]
__
solve the quadraticAdding (6/2)² = 9 to both sides will "complete the square."
16 +9 = x² +6x +9 . . . . . . . add 9
25 = (x +3)²
±√25 = x +3 = ±5 . . . . . take the square root(s)
x = -3 ±5 = {-8, +2}
The two potential solutions are x = 2 and x = -8.
[tex]\\ \rm\Rrightarrow log_4x+log_4(x+6)=2[/tex]
[tex]\\ \rm\Rrightarrow log_4(x(x+6))=2[/tex]
Take 4 right[tex]\\ \rm\Rrightarrow x(x+6)=4^2[/tex]
[tex]\\ \rm\Rrightarrow x^2+6x=16[/tex]
[tex]\\ \rm\Rrightarrow x^2+6x-16=0[/tex]
[tex]\\ \rm\Rrightarrow x^2-2x+8x-16=0[/tex]
[tex]\\ \rm\Rrightarrow x(x-2)+8(x-2)=0[/tex]
[tex]\\ \rm\Rrightarrow (x+8)(x-2)=0[/tex]
[tex]\\ \rm\Rrightarrow x=-8\:and\:x=2[/tex]
A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below: Male Female Type A 65 85 Type B 38 12 Compare P(Male or Type B) with P(Male | Type B).
P(Male or Type B) > P(Male | Type B) P(Male or Type B) = P(Male | Type B) P(Male or Type B) < P(Male | Type B) There is not enough information.
Answers
The option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a table:
Male Female
Type A 65 85
Type B 38 12
Male type B = Type B Male/Total Male
Female type B = 38/(65+38) = 12/103 = 0.11
Male or Type B= Male + Type B female/ total
= 103+12/(97+103)= 135/200 = 0.675
P(Male or Type B) > P(Male |Type B)
Thus, the option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.
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What should be done to both sides to solve the equation?
Solve x-2=10
Answers
Answer:
add 2 to each side of the equation
Step-by-step explanation:
x-2=10
To solve for x, we need to add 2 to each side of the equation
x-2+2 = 10+2
x = 12
Please please help! translate the phrase into a variable expression. use the letter p to name the variable. if necessary, use the asterisk (*) for multiplication and the slash (/) for division
... the total number of parrots in the jungle and the 2 parrots your neighbor owns ...
Answers
The expression p+2 will denote the statement given
What is a Variable ?A variable is a unknown quantity in an equation , which is used to denote the parameter that needs to be determined.
It is given that
the total number of parrots in the jungle and the 2 parrots your neighbor owns
Let p be the total parrots in the jungle
p+2 will denote the statement given
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help me solve this give steps as well please
Answers
The total cost of 6 wave pool tickets with the discount included would be $73.5.
How to calculate the total value of 6 tickets with the discount?To calculate the total cost we must multiply the value of each ticket by the number of tickets to be purchased, in this case there are 6:
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HJ=
help me please thannk u :)
Answers
Answer:
10 is the answer. hj is 10
which function has a domain
Answers
Answer:
F(x) = - [tex]\sqrt[3]{x}[/tex]
Step-by-step explanation:
A square root can only have a positive input for the domain
(The domain is the input for the function)
The cube root can be either negative or positive as an input
F(x) = - [tex]\sqrt[3]{x}[/tex] can have inputs from negative infinity to infinity
Simplify the expression
-17.8a-2.4a+25-19.5
Answers
Answer:
-20.2a+5.5
subtract the values with a in it and the ones without the a together.
I'm having a hard time doing inequalities, and I really need help with this question. Any help will be appreciated.
Thanks
Answers
The solution to the given compound inequality 2x - 3 < x + 2 ≤ 3x + 5 is 5 > x ≥ -3/2
Compound inequality2x - 3 < x + 2 ≤ 3x + 5
solve differently
2x - 3 < x + 2
2x - x < 2 + 3
x < 5
x + 2 ≤ 3x + 5
x - 3x ≤ 5 - 2
-2x ≤ 3
x ≥ 3/-2
x ≥ -3/2
Therefore, the solution of the compound inequality is 5 > x ≥ -3/2
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Yuki wants to make a reduced-size copy
of a drawing. The original drawing is
14 inches long. Yuki's copier can only
reduce by 75%. Find the length of a copy
after Yuki reduces it 4 times at 75% each
time. Round your answer to the nearest
hundredth of an inch.