Answer:
24.
Step-by-step explanation:
The answer to this can be found by dividing 72 by 3.
72 divided by 3 = 24.
pls help!! need asap for 40 pts
Answer:
247.29 ft
Step-by-step explanation:
Need to find the opposite side, so use sine
4725sin 3 = 247.29
Find the surface area of the cylinder (please help)
Answer:
792 cm²
Step-by-step explanation:
Surface Area (Cylinder)
⇒ 2πrh + 2πr²
⇒ 2πr (h + r)
Here, r = 9 cm and h = 5 cm.
⇒ 2π × 9 (5 + 9)
⇒ 18π × 14
⇒ 252 x 22/7
⇒ 36 x 22
⇒ 792 cm²
Find the integral of √(x² +4) W.R.T x
Answer:
[tex]\frac{x}{2} *\sqrt{x^{2} +4}[/tex] +[tex]\frac{1}{2}[/tex]*LN(|[tex]\frac{x+\sqrt{x^{2} +4} }{2}[/tex]|) +C
Step-by-step explanation:
we will have to do a trig sub for this
use x=a*tanθ for sqrt(x^2 +a^2) where a=2
x=2tanθ, dx= 2 sec^2 (θ) dθ
this turns [tex]\int\limits {\sqrt{x^{2}+4 } } \, dx[/tex] into integral(sqrt( [2tanθ]^2 +4) * 2sec^2 (θ) )dθ
the sqrt( [2tanθ]^2 +4) will condense into 2sec^2 (θ) after converting tan^2(θ) into sec^2(θ) -1
then it simplifies into integral(4*sec^3 (θ)) dθ
you will need to do integration by parts to work out the integral of sec^3(θ) but it will turn into (1/2)sec(θ)tan(θ) + (1/2) LN(|sec(θ)+tan(θ)|) +C
then you will need to rework your functions of θ back into functions of x
tanθ will resolve back into [tex]\frac{x}{2}[/tex] (see substitutions) while secθ will resolve into [tex]\frac{\sqrt{x^{2} +4} }{2}[/tex]
sec(θ)=[tex]\frac{\sqrt{x^{2} +4} }{2}[/tex] is from its ratio identity of hyp/adj where the hyp. is [tex]\sqrt{x^{2} +4}[/tex] and adj is 2 (see tan(θ) ratio)
after resolving back into functions of x, substitute ratios for trig functions:
= [tex]\frac{x}{2} *\sqrt{x^{2} +4}[/tex] + [tex]\frac{1}{2}[/tex]*LN(|[tex]\frac{x+\sqrt{x^{2} +4} }{2}[/tex]|) +C
A whole is divided into 10 equal parts.
Answer these questions.
(a) How much of a whole is 100%?
(b) How much of a whole is 10%?
Answer:
a. All of the whole - 10/10
b. A tenthof the whole - 1/10
Step-by-step explanation:
Step-by-step explanation:
a. since the entire whole represents a 100% , the number of whole that makes up for 100% is the 10 of the ten parts divided by 10 which is equal to 10.
b. since a whole equals 100% , if divided by 10 the entire 100% becomes 10% each for 10 parts. hence a single part equivalent to 1/10 is 10%
From a regular octagon, a triangle is formed by connecting three randomly chosen vertices of the octagon. What is the probability that at least one of the sides of the triangle is also a side of the octagon
The probability that at least one of the sides of the triangle is also a side of the octagon is 5/7
How to determine the probability?A regular octagon has 8 sides, and a triangle has 3 sides
Assume that there is a point on the triangle.
Then we select (3 - 1) points from the (8 - 1) sides.
8 - 1 = 7
3 - 1 = 2
So, the total number of selection is:
Selection = 7C2
Evaluate the combination expression
Selection = 21
Adjacent triangles have 5 lines (one line in common).
So, we have:'
n = 5 - 1
n = 4
The number of ways this points can be selected is:
Selection = 4C2
Evaluate
Selection = 6
The probability that the triangle and the octagon do noth have the same side is:
P= 6/21
The probability that at least one of the sides of the triangle is also a side of the octagon is calculated using the following complement rule
P = 1 - 6/21
Evaluate the difference
P = (21 -6)/21
P = 15/21
Reduce fraction
P = 5/7
Hence, the probability that at least one of the sides of the triangle is also a side of the octagon is 5/7
Read more about probability at:
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Solve and graph on a number line. Show your work in the box below.
7x + 10 < 11x + 2
Answer:
x > 2
Graph in picture
Step-by-step explanation:
Given:
7x + 10 < 11x + 2
To Find:
Solve and graph on a number line. Show your work in the box below.
Solve:
Subtract 10 from both sides
7x + 10 -10 < 11x + 2-10
Simplify
-4x < - 8
Multiply both sides by -1 which reverse the inequality
Simplify
4x > 8
Now, Divide both sides by 4
4x ÷ 4 > 8 ÷ 4
Simplify
x > 2
Solution: x > 2
Now graphing:
> means greater than
that means x is greater than 2
Thus, the line is going to the right.
Graph below:
Answer: x > 2
Step-by-step explanation:
Subtract 10 from both sides7x+ 10 < 11x + 2
7x+10-10 < 11x + 2 -10
Simplfysubtract the numbers
7x < 11x -8
Subtact 11 from both sides7x < 11x -8
7x - 11x < 11x -8 - 11x
Combine Like terms-4x < -8
Divide both sides by the same factor, and flip the relation because the factor is negative-4x < -8
-4x/-4 > -8/-4
Cancel terms that are in both the numerator and denominatorDivide the numbersx > 2
Ari spent $35. 80 for 4 posters if the price of each poster was the same what was the price of 1 poster
Answer:
$8.95
Step-by-step explanation:
If Ari spent $35.80 for 4 posters and each of the poster price was the same therefore if we want the price for one poster we have to divide $35.80 by four to see the cost for one poster which will be $8.95. If you want to know if the price of each poster was the same you can just multiply $8.95 by 4 and you'll actually see that you got back the same money that Ari used to spend for the four posters .
After adding the numbers the result obtained is called the total or the sum
Answer:
After adding the numbers the result obtained is called the sum.
What is the product?
Answer:
The answer I got was
Step-by-step explanation:
[7, 4, 3]
You use the matrix calculator and then select a*b
Pls figure out the intercepts
y= 10x −32
x intercepts: (___, ___)
y intercepts: (___,___)
pls help
Answer:
X intercepts: (0,12)
Y intercepts: (-32,88)
Here is a set of numbers , 10,10,10,10,11,12,13,15,17,find the mode, the median , the mean b there is a mistake in the set of numbers . The 10 should be 26, find the correct value for the mode , the median and the mean
First, find the mode, median, and mean of the given set of numbers.
Mode
The mode is the number that shows up frequently within the given set. In this case, it will be 10, as it shows up 4 times, 3 times more than any other number.
Mode: 10
~
Median
The median is the number that is in the middle of the given set. In this case, there are 9 numbers, and so the 5th given number is your median:
10 , 10 , 10 , 10 , 11 , 12 , 13 , 15 , 17
Median: 11
~
Mean
The mean is combining all numbers within the given set and dividing by the amount of numbers in that said set:
(10 + 10 + 10 + 10 + 11 + 12 + 13 + 15 + 17)/9 = 108/9 = 12
Mean: 12
A manager drew this box-and-whisker plot to represent the weights, in pounds, of the 440 crates the company is shipping. box-and-whisker plot ranging from 80 to 180 with ticks at increments of 2.5. plot defined by points at 84, 99.5, 113, 143, 170. how many crates weigh more than 99.5 pounds? select from the drop-down menu to correctly complete the statement. about choose... crates weigh more than 99.5 pounds.
Deducing from the considered box plot, the number of crates that weigh more than 99.5 pounds is 330 approx.
How does a boxplot shows the data points?A box plot has 5 data description.
The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called second quartile.The last line of the box shows the third quartile.What are quartiles?When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.
Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.Similarly, second quartile (also called median) is approximately in mid of the data.Third quartile (also called upper quartile) has approx 75% in its left partition, and on its right lies approx 25% of the data.Left to right is said in assumption that data was arranged increasingly from left to right
We're specified here that:
Total 440 crates is being shipped by company.
The box plot is defined by the points 84, 99.5, 113, 143, 170
The point 99.5 is the first quartile.
There are 75% observations on its right, so 75% of 440 is the number of crates which weigh greater than 99.5 pounds.
We get this value as:
[tex]\dfrac{440}{100} \times 75=330[/tex]
Thus, deducing from the considered box plot, the number of crates that weigh more than 99.5 pounds is 330 approx.
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Find the vertex. y = 3x2 + 6x – 11 ([?],[ ]
Answer:
[tex] - 60[/tex]
-60 is a correct answer hope this answer is rightWrite the equation of the line that is perpendicular to the line which has a slope of 3 / 4 and passes through the point ( 0, - 4 ).
Answer:
y=-4/3x-4
Step-by-step explanation:
The equation of the line that is perpendicular to the line which has a slope of 3 / 4 and passes through the point ( 0, - 4 ) is equals to [tex]y= \frac{-4}{3} x-4[/tex]
What is equation of line?" Equation of line is defined as the equation which represents the set of points using slope."
Formula used
[tex]y=mx+c[/tex]
m = slope of the line
c = y-intercept
Product of the Slopes of perpendicular lines = -1
According to the question,
Slope of the given line = [tex]\frac{3}{4}[/tex]
Using condition for slope of perpendicular lines we have,
Slope of the line perpendicular to the given line 'm' = [tex]\frac{-4}{3}[/tex]
From given point (0, -4)
Y- intercept 'c' = -4
Substitute the value in the formula to get equation of required line,
[tex]y= \frac{-4}{3} x-4[/tex]
Hence, equation of the line that is perpendicular to the line which has a slope of 3 / 4 and passes through the point ( 0, - 4 ) is equals to [tex]y= \frac{-4}{3} x-4[/tex].
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7-9+(9-5)^2-4•2+4/-5-1+8-3•100
Answer:
See below ~
Step-by-step explanation:
Using PEMDAS
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionOur equation
[tex]\frac{7-9+(9-5)^{2}-4*2+4 }{-5-1+8-3*100}[/tex]1. Simplifying Parentheses
[tex]\frac{7-9+4^{2}-4*2+4 }{-5-1+8-3*100}[/tex]2. Simplifying Exponents
[tex]\frac{7-9+16-4*2+4 }{-5-1+8-3*100}[/tex]3. Multiplying
[tex]\frac{7-9+16-8+4 }{-5-1+8-300}[/tex]4. Adding (As division without simplifying isn't correct)
[tex]\frac{7+7-4 }{-5+7-300}[/tex][tex]\frac{14-4 }{2-300}[/tex]5. Subtracting
[tex]\frac{10 }{-298}[/tex]6. Dividing
[tex]-\frac{5}{149}[/tex] [Simplest fractional answer]-0.03 [Simplest decimal answer]Find the surface area of the pyramid song to the nearest whole number.
Answer:
85 ft^2
Step-by-step explanation:
Base = 5 x 5 = 25 ft^2
FOUR triangles 4 * 1/2 * b * h = 4 * 1/2 * 5 * 6 = 60 ft^2
added together = 85 ft^2
How is the sign for PI ???
Answer:
its this symbol
Step-by-step explanation:
Find the solution of the system of equations. 9x - 9y = -9 and 3x + 9y = -15
Answer:
(-2 , -1)Step-by-step explanation:
[tex]\begin{cases}9x-9y=-9&\left(1 \right) \\ 3x+9y=-15&\left( 2\right) \end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}9x-9y=-9&\left( 1\right) \\ 12x=-24&\left( 1\right) +(2)\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}x-y=-1&\left( 1\right) \\ x=-2&\left( 1\right) +(2)\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=x+1=-2+1=-1&\left( 1\right) \\ x=-2&\left( 1\right) +(2)\end{cases}[/tex]
A car travels 98 miles in 1. 4 hours. How far can it travel in 7 hours at the same speed
Answer:
490 miles
Step-by-step explanation:
7/1.4 = 5
98*5 = 490
The equation y= x-3 describes how the variables x and y are related
Answer:
The amount y is depends on what x's value is. It is helpful to make a table or graph so we can see how the y value changes like the x value :)
Have an amazing day!!
Please rate and mark brainliest!!
If you want the type of relationship between 'x' and 'y'
⇒ they are a linear relationship as in they form a straight line together
If you want to describe how the value of x correlates to y
⇒ as x increases, y increases thus it is a direct variation.
Hope that helps!
I need to figure out how to how to find the are of a plus shaped symbol, how would I do this?
Answer:
add the areas of the parts
Step-by-step explanation:
The area of an unusual shape is often easily found by decomposing it into shapes that you have formulas for. Divide the shape into parts, and add the areas of those parts.
__
negative areaAlternatively, some shapes are conveniently described by "missing" parts, For example, your "plus shaped" figure may be described as an overall rectangle with rectangles removed from the corners. Then the area of the shape is found by subtracting the missing area from that of the overall rectangle.
__
overlapping partsAs a rule, you want the parts to be non-overlapping. That way, you can add the areas of the parts without counting any area twice (or more times). If you have overlapping parts, you need to subtract the area(s) that may be counted multiple times.
__
symmetrySometimes you can take advantage of symmetry, so that you only need to compute part of the total area, then multiply by a factor that takes the symmetry into account.
__
exampleIn the attached figure, the dimensions of rectangle A are 6 m wide by 7 m high. The dimensions of rectangle B must be found by adding the width dimensions shown across the top of the figure: 5 m +6 m +6 m = 16 m. It is marked as 4 m high. Then the total area is ...
area of A + area of B
= (6 m)(7 m) +(16 m)(4 m)
= 42 m² +64 m² = 106 m²
This can also be found as the area of the 16 m by 11 m enclosing rectangle, less the two 5 m by 7 m corner cut-outs.
(16 m)(11 m) -2(5 m)(7 m) = 176 m² -2(35 m²) = 106 m²
If we add two equations in the original system, we have 6x+7y=32. Explain why the same (x,y) pair is also a solution to the equation
Answer:
simultaneous equations are used to solve for 2 variable
 Order these numbers least to greatest
Answer:
-24/16, -√2, 21/51, 0.42
Step-by-step explanation:
Look at the signs of the numbers. Negative numbers will be on the left, while positive numbers will be on the right. That means -√2 and -24/16 will be on the left, while 0.42 and 21/51 will be on the right.
Part 1:
We can change the negative numbers to decimals to compare them.
-√2 ≈ -1.41
-24/16 = -1.5
-1.5 is smaller, which means the first number in the sequence will be -24/16 and then -√2.
Part 2:
We can also change the positive numbers to decimals to compare them.
0.42 = 0.42
21/51 ≈ 0.41
21/51 is a bit smaller, so the third number in the sequence will be 21/51 and then 0.42.
I hope this helps and please mark me as brainliest!
Which equation would you use to find the distance between the two points? A. |2 - 4| B. |2 - (-4)| C. |-5 - 5| D. |2 + (-4)|
Answer:
Step-by-step explanation:
Could you show two points need to be calculated? A and D are the same in this case
Mrs. Jones has eight equal-sized poster boards. She divides them evenly among three students. Between which two whole numbers does the number of poster boards each student gets lie?
You are a market analyst working on game consoles. Suny’s Playcom series takes up 40% of the market share, Microsoft Box series takes up 35% of the market share and Nintendo’s Wee takes the the remaining 25% of the market share. According to industry reports, 1% of Playcom is defective, 3% of YBox is defective and 5% of Wee is defective worldwide. What is the probability of a game console buyer buying a defective Suny Playcom?
Using it's concept, it is found that there is a 0.004 = 0.4% probability of a game console buyer buying a defective Suny Playcom.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 40% of the consoles bought are of the Suny Playcom series, and of those, 1% are defective, hence the probability is given by:
p = 0.4 x 0.01 = 0.004
0.004 = 0.4% probability of a game console buyer buying a defective Suny Playcom.
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Please help me on this question about circle chords, find x.
A. 26.3
B. 21.1
C. 11.8
Answer: B
Step-by-step explanation:
_____________, fill in the blank,, typically used to increase ticket sales on low attendance days, offer fans discounts on concessions
Dynamic pricing is typically used to increase ticket sales on low attendance days, offer fans discounts on concessions.
What is dynamic pricing?Dynamic pricing is used to set the price of tickets based on the situation of the demand and reduce the number of unsold tickets.
It is used to adjust the prices that tickets are sold during sports which can be based on such variables as demand, weather, team performance and even pitching match-ups.
Therefore, Dynamic pricing is typically used to increase ticket sales on low attendance days, offer fans discounts on concessions.
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need help asap will give brainlist
Answer:
D. [tex]\frac{12x+20}{5y^3}[/tex]
Step-by-step explanation:
When multiplying 2 fractions, you multiply the numerators and denominators, so we have:
[tex](\frac{3x+5}{y^6})(\frac{4y^3}{5}) = \frac{(3x+5)\cdot 4y^3}{y^6\cdot 5} = \frac{(3x+5)\cdot 4}{y^3 \cdot 5} = \frac{12x + 20}{5y^3}[/tex]
Answer:
4th option
Step-by-step explanation:
[tex]\frac{3x+5}{y^6}[/tex] × [tex]\frac{4y^3}{5}[/tex] ( cancel y³ and [tex]y^{6}[/tex] on numerator/denominator by y³ )
= [tex]\frac{3x+5}{y^3}[/tex] × [tex]\frac{4}{5}[/tex]
= [tex]\frac{4(3x + 5)}{5y^3}[/tex]
= [tex]\frac{12x+20}{5y^3}[/tex]
Find each measure. Assume that segments that appear to be tangent are tangent.
Answer: 97 degrees
Step-by-step explanation: