Given:
Diameter of the hole = 30 cm
To find:
The area of the hole.
Solution:
The radius of a circle is always half of the diameter. It is given that the diameter of the hole is 30 cm. So, the radius of the hole is:
[tex]r=\dfrac{30}{2}[/tex]
[tex]r=15[/tex]
Area of a circle is:
[tex]A=\pi r^2[/tex]
Putting [tex]\pi = 3.14[/tex] and [tex]r=15[/tex] in the above formula, we get
[tex]A=(3.14)(15)^2[/tex]
[tex]A=(3.14)(225)[/tex]
[tex]A=706.5[/tex]
Therefore, the area of the hold is 706.5 square cm.
The histogram below represents a data distribution with uniform class
widths. Which of the following is the median of the data distribution?
6
5
4
3
2
1
9 10
A. 4
B. 6
C. 5
c
D. 7
Answer:
C. 5
Step-by-step explanation:
The given data can be presented as follows;
[tex]\begin{array}{ccc}x&&y\\2&\leftrightarrow &1\\3&\leftrightarrow &4\\4&\leftrightarrow &6\\5&\leftrightarrow &7\\6&\leftrightarrow &6\\7&\leftrightarrow &3\\8&\leftrightarrow &2\\9&\leftrightarrow &1\\10&\leftrightarrow &1\end{array}[/tex]
We find the sum of the data points as follows;
n = 1 + 4 + 6 + 7 + 6 + 3 + 2 + 1 + 1 = 31
The median will be located in the (n + 1)/2 th data point
Therefore the median is the (31 + 1)/2 = 16th data point
The sum of the first three bars on the histogram = 11
The sum of the first four bars on the histogram = 18
Therefore, the 16th data point is located in the fourth bar which has x value of 5
The median is therefore, C. 5
What is one way a person can increase the wages he or she expects to earn?
A. By deciding not to get a high level of education
B. By choosing a job with a high market value
C. By reducing overall productivity in a year D. By advocating against minimum wage regulations
The correct way for a person can increase the wages he or she expects to earn is,
⇒ By choosing a job with a high market value.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
To find one way for a person can increase the wages he or she expects to earn.
Since, We know that;
A job with a high market value give more income than another things.
Thus, The correct way for a person can increase the wages he or she expects to earn is,
⇒ By choosing a job with a high market value.
Learn more about the mathematical expression visit:
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Using long division, what is the quotient of this expression?
X^4+4x^3-5x^2+x-3/x^2+x-3
Answer:
Using long division method the answer is B
Step-by-step explanation:
x²+3x-5+(15x-18)/x²+x-3
Write the number one thousand and four in figures
Answer:
1004 is the correct awnser
Step-by-step explanation:
pls give me brainliest
Answer:
1004
Step-by-step explanation:
one thousand = 1000
four = 4
1000+4 =1004
What is the simplified form of the complex fraction? 2x2+7x+6x2+x−64x2−9x2−5x+6
Answer:
3x - 124
Step-by-step explanation:
kindly find solutions in the picture above
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is
-65x² + 2x + 6
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6
Combine all like terms.
(2x² + 6x² - 64x² - 9x²) + (7x - 5x) + 6
(8x² - 73x²) + 2x + 6
-65x² + 2x + 6
There are no common factors or like-terms to simplify.
So,
The simplified form is -65x² + 2x + 6
Thus,
The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is
-65x² + 2x + 6
Learn more about expressions here:
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What is the distance between (4, -10) and (4,-4)?
Answer:
For x there is no distance since they are both for. For y, they are -6 apart.
Step-by-step explanation:
Answer:
Fox x Diya is no distance since they are both for they are six apart
Step-by-step explanation:
(4-10)
and= just opposite size (10- 4) .
10 -4 = 6 answer 6
and (4-4)
answer is
0
the answer is six apart
understand
THE SPEED OF A CAR IS 144 KM/HR WHAT US ITS SPEED IN M/S
Answer:
40 m/s
Step-by-step explanation:
144 X (5/18) = 8X5 = 40
1/x^-2 x=7 yeet yeet
Answer:
49
Step-by-step explanation:
x = 7
1 / x^-2
= x^2
= 7^2
= 49
Answer: 49
Step-by-step explanation: yeet
Find the surface area of this cylinder.
Round to the nearest tenth.
r = 3 cm
3 cm
SA = [ ? ] cm2
PLEASE HELP
Formula for the surface area of a cylinder: 2 x pi x r^2 + 2 x pi x r x h
Radius (r) = 3
Height (h) = 3
2 x pi x 3^2 + 2 x pi x 3 x 3
2 x pi x 9 + 2 x pi x 9
18pi + 18pi
36pi = 113.1 cm^2
Hope this helps!
The surface area of the cylinder is 113.0973 square centimeter.
What is surface area of a geometric shape ?The surface area of a solid object is a measure of the total area that the surface of the object occupies. The surface area can only be present in any three dimensional geometric shape.
How to find the surface area of the cylinder ?The surface area of the cylinder is given by - 2*π*r*h + 2*π*r*r
where r is the radius of the cylinder and h is the height of the cylinder from its base.
In the given problem, r = 3cm and h = 3cm .
⇒ Surface area = 2*π*3*3 + 2*π*3*3 square centimeters.
= 36π = 113.0973 square centimeters.
∴ Surface area = 113.0973 square centimeters.
Thus the surface area of the cylinder is 113.0973 square centimeter.
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if 3x-4=2(y-2)
find x_y
Answer:
x = 2y/3
y = 3x/2
Answer:
Step-by-step explanation:
Find sin R.
a. sin R= 29/21
b. sin R= 21/20
c. sin R= 20/29
d. sin R= 21/29
Answer:
sin R = 20 / 29
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin R = opp / hyp
sin R = 20 / 29
Which is true about the triangles pictured?
С
60
609
50
70
70°
50
B
D
The triangles are not congruent.
The triangles are congruent by Angle-Angle-Angle.
If AC EF. then the triangles could be proved congruent by Angle-Side-Angle.
if BC EF, then the triangles could be proved congruent by Angle-Side-Angle.
Answer: The triangles can be proven congruent from angle-angle-angle.
Step-by-step explanation: I know this because the angles match up with each other
What is the area of this triangle
Answer:
17.5 units
Step-by-step explanation:
im not good at explaining sorry
find the value of x.
2+3
12
5
1.2
6.6
07
12
Answer:
x = 7
Step-by-step explanation:
The triangles are similar
12/8 = (x+3+5)/(x+3) cross multiply expressions
12x + 36 = 8x + 64
12x - 8x = 64 - 36
4x = 28 divide both sides by 4
x = 7
A company rents water tanks shaped like cylinders. Each tank has a radius of 6 feet and a height of 2 feet. The cost is $30 per cubic foot. How much does it cost to rent one water tank
Step-by-step explanation:
Volume of tank = (pi)×(radius squared)×(height)
= 3.14×(6×6)×2
= 3.14×36×2
= 226.08 cu.ft
Each cu.ft is rented for $30
So, for 226.08 cu.ft is,
=226.08×$30
=$6782.3
Which of the following is an arithmetic sequence? 1, -3, 9, -27,... -2, 4, -6, 8, ... -8, -6, -4, -2, ... 2, 4, 8, 16, ...
Answer:
Given the proposed interrogate, the answer(s) to the following are identified as “-8, -6, -4, -2…” and “2, 4, 8, 16”.
Step-by-step explanation:
Accountable Conditions: Although the question implies there is only one individual mathematical statement which fits the conditions stated in the interrogate, both sequences listed above fit such, thus are both correct.
To evaluate for such, a comprehension of an “Arithmetic Sequence” is obligated:
In arithmetic sequences, the presence of a consecutive deviation or fixed pattern must be consistent and present throughout each and individual number or value contained within the particular set.
For Example: 3, 5, 7, 9, 11, 13, …
The deviation, or the number required to produce the subsequent value is identified as +2.
Now, apply such definitions to the peculiar problem:
A. 1, -3, 9, -27,… has -4, +12, -36, hence is not consistent. Thus, A cannot be correct.
B. -2, 4, -6, 8,… has +6, -10, +14, hence does not obtain a persistent consecutive pattern.
C. -8, -6, -4, -2… has +2, +2, +2, hence is consistent. Thus, C is correct.
D. 2, 4, 8, 16,… has +2, +2, +2, hence is consistent. Thus, D is correct.
which parent function is represented by the graph?
Answer:
y=x
Step-by-step explanation:
escample: If 600 Students registered for mat 101,300 for Phy 101 while 173 students registered for both mat101 and phy 101 in 2021 first semester, How many Students registered the two course
I don't answer the grammar but if you asked how many kids in total (not counting duplicate people that signed up for both) then 1073 student registered for the courses
Mrs.Click has a strawberry patch in her garden. It's border is 4/5 meters wide and 3/2 meters long. What is the area of Mrs.Clicks Garden?
Answer
Mrs. Click's Garden is 6/5 or 1 1/5 square meters.
Explanation
Mrs. Click's has a rectangular garden. To find the area of a rectangle, you multiply the width by the length. To find the area of Mrs. Click's Garden, you multiply 4/5 by 3/2.
To multiply fractions, you multiply the numerator by the denominator.
4×3 is 12 and 5×2 is 10. You get the fraction 12/10, which can be simplified to 6/5, or 1 1/5.
calculate the value of 120 is increased by 120%
Answer:
144
Step-by-step explanation:
currect answer for simple question
Answer:
264
Step-by-step explanation:
First find the amount of increase
120 * 120%
120 * 1.2
144
Add this to 120
120 +144
264
anyone knows the answers ? need help with this.
Answer:
2.
a) X=5.0791
(sorry I only know that one)
The degree of the polynomial function f(x) is 3.
The roots of the equation f(x)=0 are −1, 0, and 3.
Which graph could be the graph of f(x)?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The real roots of a polynomial function are the x-intercepts. The graph of f(x) will be the graph that has x-intercepts of -1, 0, and 3.
Pls help meeee thank you
Answer:
7/12
Step-by-step explanation:
add up all of the buttons
30+40+50=120
add up all of the blue and red buttons
30+40=70
then divide the added values
70/120
simplify
7/12
Answer:
7/12
Step-by-step explanation:
It will be seven 7 by 12
PLEASE HELP! I WILL GIVE YOU BRAINLIEST!
Answer:
sry, i am doing this for points
Which statement is true about whether Z and B are independent events?
Z and B are independent events because P(Z∣B) = P(Z).
Z and B are independent events because P(Z∣B) = P(B).
Z and B are not independent events because P(Z∣B) ≠ P(Z).
Z and B are not independent events because P(Z∣B) ≠ P(B).
Answer:
Z and B are independent events because P(Z∣B) = P(Z).
Step-by-step explanation:
After a small online search, I've found a table to complete this problem, that we can see below.
For two events Z and B, we have:
P(Z|B) = probability of Z given that B
such that:
P(Z|B) = P(Z∩B)/P(B)
So, two events are independent if the outcome of one does not affect the outcome of the other.
So, if the probability of Z given B is different than P(Z) (the probability of event Z) means that the events are not independent.
So Z and B are independent if the probability of Z given B is equal to the probability of Z.
P(Z|B) = P(Z)
In the table we can see:
P(Z|B) will be equal to the quotient between all the cases of Z given B (126) and the total cases are given B (280)
P(Z|B) = 126/280 = 0.45
Similarly, we can find P(Z):
And P(Z) = 297/660 = 0.45
So we can see that:
P(Z|B) = P(Z)
Thus, B and Z are independent.
Which of the following angles is coterminal with - 2pi/3
Answer:
[tex]\frac{2\pi }{3} +x=2\pi[/tex]
[tex]x=2\pi -\frac{2\pi }{3}[/tex]
[tex]=\frac{4\pi }{3}[/tex]
[tex]OAmalOHopeO[/tex]
what are the steps in solving
12x+4=20x+24
Answer:
x = -5/2
Step-by-step explanation:
12x+4=20x+24
-8x + 4 = 24
-8x = 20
x = -5/2
Instructions: Find the measure of the indicated angle to the nearest degree.
50
?
25
Answer:
theta = 30 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side/ hypotenuse
sin theta = 25/50
sin theta = 1/2
Taking the inverse sin of each side
sin ^-1 (sin theta) = sin ^-1 (1/2)
theta = sin ^-1 (1/2)
theta = 30 degrees
Can you answer this math homework? Please!
Answer:
10 T Shirts to have 105 dollars
Step-by-step explanation:
[tex]10.5x = 7.5x + 30[/tex]
[tex]3x = 30[/tex]
[tex]x = 10[/tex]
Answer??? if you want u can answer as u like....
60, because 6 times 10 is just that
Answer:
60
Step-by-step explanation:
6x10 is 60
