Answer:
127.2
Step-by-step explanation:
The area of a semicircle is:
[tex]\frac{\pi r^{2} }{2}[/tex]
So to figure it out we first find the diameter:
18÷2=9
Then we plug it into the equation
[tex]\frac{9^{2}\pi }{2} = \frac{81\pi}{2}[/tex] Which we can put into a calculator to get 127.2345... so we round to 1 d.p to get our answer, 127.2 (the fifth digit, 3, rounds down)
Determine two numbers that have a
square root between 326 and 327, are
divisible by 100, and are a multiple of 6.
It divides by three. According to the law of divisibility for three, a number is fully divisible by three if its digit sum is likewise divisible by three.
What is divisibility test?The divisibility rule is a clear and useful method for determining if an integer is divisible by a given set of divisors without actually doing division, sometimes simply looking at the integer's digits. The divisibility test allows you to rapidly determine if a given integer can be divided by a specified divisor without actually doing the division process. The quotient must be an integer and the remainder must be zero when dividing two numbers precisely.
here
add all the numbers,
326 = 3+2+6 = 11
so it is not divisible by 3
327 = 3+ 2 + 7 = 12
so it is divisible by 3
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In the number 9.13 what is the value of the digit 3, written as a fraction?
3
Answer:
potato paste recipe for the same recipe as it has made
Step-by-step explanation:
French fry
Answerr if yk. No links or i will report tyy 3
Answer:
4
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
7+16+11+12+10+16= 72
72/6 = 12
f (x) = -5x + 4
Graph of the function and find the domain and the range
Answer:
Range and Domain= all real numbers
positive infinity to negative infinity
Step-by-step explanation:
8. Find the measure of E in the trapezoid.
The measure of x = 5, in the given diagram of a trapezoid.
What is trapezoid?A trapezoid is a four-sided shape with one parallel pair of sides. It is essentially a two-dimensional shape or figure similar to a square, rectangle, or parallelogram. As a result, this shape, like other shapes, has a perimeter and an area.
When two parallel lines are intersected by a transversal, the pair of interior angles on the same side of the transversal are supplementary.
Therefore, ∠D + ∠E = 180°
17x - 10 + 21x = 180°
38x − 10 = 180°
38x = 180° + 10
38x = 190
x = 190/38
x = 5
Thus, The measure of x = 5, in the given diagram of a trapezoid.
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MY Last question and I'm done....
b) Suppose that you increase the height of this cylinder by 10 cm.
By how much does the volume increase?
Answer:
785.4
Step-by-step explanation:
1335.18-549.78 = 785.4
Answer:
785.4
Step-by-step explanation:
The volume of the original is 549.77871cm^2
The volume after the height increase is 1335.17688cm^2
1335.17688 - 549.77871 = 785.39817
I don't know how much to round it to but I'll go tenths ig
785.4
Art Show Attendance Day Attendance Sunday 54 Monday 29 Tuesday 22 Wednesday 28 Thursday 12 Friday 15 Saturday ? What does the attendance need to be on Saturday to have an average attendance for the week of 30 people per day?
Answer:
50
Step-by-step explanation:
mean = sum of observations / number of observations
sum of observations = 30 x 7 = 210
saturdays attendance = 210 - (54 + 29 + 22 + 28 + 12 + 15) = 50
(a) Express tanθ in terms of secθ for θ in Quadrant II (b) Express secθ in terms of sinθ for θ in Quadrant III
a. The trigonometric ratio tanθ = -√(sec²θ - 1)
b. The trigonometric ratio secθ = -1/√(1 - sin²θ)
What are trigonometric ratios?Trigonometric ratios are the following mathematical expressions sinθ, cosθ, tanθ,secθ,cosecθ and cotθ.
a. How to express tanθ in terms of secθ for θ in Quadrant II?Since we want to express tanθ in terms of secθ in the second quadrant,using the trigonometric identity
tan²θ + 1 = sec²θ
Making tanθ subject of the formula, we have that
tan²θ = sec²θ - 1
tanθ = ±√(sec²θ - 1)
Since in Quadrant II, tanθ is negative, we choose the negative answer.
So, tanθ = -√(sec²θ - 1)
b. How to express secθ in terms of sinθ for θ in Quadrant II?Since we want to express tanθ in terms of secθ in the second quadrant,using the trigonometric identity
secθ = 1/cosθ and
sin²θ + cos²θ = 1
Making cosθ subject of the formula, we have that
cos²θ = 1 - sin²θ
cosθ = ±√(1 - sin²θ)
So, secθ = 1/cosθ
= ±1/√(1 - sin²θ)
Since in Quadrant III, secθ is positive, we choose the positive answer.
So, secθ = -1/√(1 - sin²θ)
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The radius of a giant beach ball is 18 inches. What is its surface area?
Answer:
4071.5 in^2
Step-by-step explanation:
The surface area of a sphere of radius r is A = 4πr²
In this case, with r = 18 in, A = 4π(18 in)² = 4071.5 in²
can someone tell me what xy^2 would be if x=10 and y= -3? thanks!
Select all graphs that represents a function
Suppose that $x$ is directly proportional to $y$. Let $x_1, x_2$ be two values of $x$ such that $\frac{x_1}{x_2} = 4$. Let their corresponding values be
$y_1$, $y_2$ respectively. If at least one of $y_1, y_2$ is nonzero, find $\frac{y_2}{y_1}$.
If at least one of $y_1, y_2$ is nonzero, then $\frac{y_2}{y_1}$ = $\frac{1}{4}$
If x is directly proportional to y, we can write this as x = ky for some constant k.
Since $\frac{x_1}{x_2} = 4$, we can write it as $x_1 = 4x_2$.
Now, substituting the value of $x_1$ in equation x = ky gives
$4x_2 = ky_1$.
Also, since x = ky, we can write $x_2 = ky_2$.
Now, we can substitute the value of $x_2$ in the equation $4x_2 = ky_1$
So, $4ky_2=ky_1$, which gives $\frac{y_2}{y_1} = \frac{1}{4}$
Therefore, $\frac{y_2}{y_1}$ = $\frac{1}{4}$ when x is directly proportional to y and $\frac{x_1}{x_2} = 4$.
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please help quickly +25pts
X, Y, and Z are collinear. Y is between X and Z.
XY = 12 and XZ = 14
YZ = ___ units
The value of YZ = 2 units.
What are collinear points?The Latin words "col" and "linear" are combined to form the word "colinear." "Col" stands for "together," and "Linear" is a line. Collinear points are hence points that are situated along a single line. Numerous instances of collinearity can be observed in daily life, such as a line of pupils standing together.
Given X, Y, and Z are collinear. Y is between X and Z.
so XY + YZ = XZ
given XY = 12 units and XZ = 14 units
XY + YZ = XZ
12 + YZ = 14
YZ = 14 - 12
YZ = 2 units
Hence measure of YZ is 2 units.
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28 = 4/5x - 8 what value of x makes the equation true?
Answer:
1.6285
Step-by-step explanation:
28 = 4/5x-8
Cross multiply
140x-224=4
140x =224+4
140x = 228
x = 228/140
x = 1.6285
The base of an open rectangular box is of length (2x + 5) cm and width x cm.
The area of this base is 58 cm².
The height of the open box is (x - 2) cm.
I have attached a pic
(I already did part (a) and (bi) and you may use the answers to help you do the (bii) question)
+ the answer for (bi) if you can’t see it, it is 4.28 and -6.78
This is the question:
b) (ii) Hence calculate the volume of the box, stating the units of your answer.
A box's volume equals [tex]135.25cm^{3}[/tex] the length (2x + 5) cm and breadth x cm of the base of an open rectangular box.
what is volume?The area occupied within an object's three-dimensional bounds is referred to as its volume. The basic formula for volume is length, width, and height, as opposed to the basic formula for the area of a rectangular shape, which is length, breadth, and height. No matter how you refer to the various dimensions, the calculation remains the same. It is sometimes referred to as the vessel's "capacity" or "volume." infant milk bottle with milliliter measuring indications and juice bottle with a 1 liter capacity.
given
Calculate the box's volume and provide your answer in units.
Due to the fact that x = 4.28, the remaining sides are 2x + 5 = 2(4.28) + 5 = 13.56
and x - 2 = 4.28 -2 = 2.28.
We are aware that volume is calculated as follows: 13.56 (4.28) ( 2.28 )
=[tex]135.25cm^{3}[/tex]
A box's volume equals [tex]135.25cm^{3}[/tex] the length (2x + 5) cm and breadth x cm of the base of an open rectangular box.
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The city of vine View is building a new rectangular park for the townspeople. The park will have an area of 8,925 square yards if the width of the park is to be 84 yards, how much fencing does the city need to surround the park?
The length of the fencing that the city needs to surround the park will be 380.50 yards.
What is the area and perimeter of the rectangle?Assume L is the length and W is the width. Then the area is given as,
A = L × W
And the perimeter is given as,
P = 2(L + W)
The city of vine View is building a new rectangular park for the townspeople. The park will have an area of 8,925 square yards if the width of the park is to be 84 yards. Then the length of the rectangular park is calculated as,
8925 = L × 84
L = 106.25 years
Then the length of the fencing that the city needs to surround the park will be given as,
P = 2(106.25 + 84)
P = 2 × 190.25
P = 380.5 yards
The length of the fencing that the city needs to surround the park will be 380.50 yards.
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A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. After
11
11
11
11
months, he weighed
140
140
140
140
kilograms. He gained weight at a rate of
5.5
5.5
5.5
5, point, 5
kilograms per month.
Let
y
y
y
y
represent the sumo wrestler's weight (in kilograms) after
x
x
x
x
months.
Complete the equation for the relationship between the weight and number of months.
The equation of line is given by y = 13.45x - 7.95 where the slope of the line is m = 13.45 and y is the weight in kilograms , x is the number of months
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
The weight in kilograms = y
The number of months = x
Let the first point be represented as P = P ( 11 , 140 )
Let the second point be represented as Q = Q ( 1 , 5.5 )
Now , the slope of the line is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 140 - 5.5 ) / ( 11 - 1 )
Slope m = 134.5 / 10
Slope m = 13.45
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 140 = 13.45 ( x - 11 )
On simplifying the equation , we get
y - 140 = 13.45x - 147.95
Adding 140 on both sides of the equation , we get
y = 13.45x - 7.95
when x = 11 months
y = 13.45 ( 11 ) - 7.95
y = 147.95 - 7.95
y = 140 kilograms
Therefore , the value of A is y = 13.45x - 7.95
Hence , the equation is y = 13.45x - 7.95
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Someone please help me!!! I need it ASAP!
The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data collection, the sales team determines that the monthly profit is approximated by f(p)= -50p2 + 1600p - 11,000, where p is the price per shirt and f (p) is the monthly profit based on that price. (a) Find the price that generates the maximum profit. (b) Find the maximum profit. (c) Find the price(s) that would enable the company to break even. If there is more than one price, use the "and" button. Part 1 of 3 (a) The price that generates the maximum profit is S 16 Part 2 of 3 (b) The maximum profit is $ 1800 Part: 2/3 Part 3 of 3 (c) The price(s) that would enable the company to break even:
The price that maximize the profit is $10 or $22.
What is maximum profit?
In economics, profit maximization is the short run or long run process by which a firm may determine the price, input and output levels that will lead to the highest possible total profit.
Given:
f(p) = -50p^2 + 1600p - 11000
Now to find velocity point
[tex]-\frac{b}{2a} = \frac{-1600}{2(-50)} = \frac{1600}{100} = 16[/tex]
So for the price p = 16 that generates maximum profit.
Now
f(16) = -50(16)^2 + 1600(16) - 11000 = 1800
The maximum profit is 1800.
At breakeven, f(p) = 0
So,
[tex]-50p^2 + 1600p - 11000 = 0\\p = \frac{-1600 + -\sqrt{(1600)^2 - 4(-50)(-11000)} }{2(-50)} \\p = \frac{-1600 + - \sqrt{2560000 - 2200000} }{-100} \\p = \frac{-1600+-\sqrt{360000} }{-100} \\p = \frac{-1600+-600}{100}\\ p = 10, 22[/tex]
So p = $10 or p = $22
Hence, the price that maximize the profit is $10 or $22.
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Which shows the given inequalities in slope-intercept form? y < four-fifthsx – one-fifth y < 2x 6 y > four-fifthsx – one-fifths y < 2x 6 y > negative four-fifthsx one-fifth y > 2x 6
y < 4/5x - 1/5 ,y > -4/5x + 1/5, y < 2x + 6, y > 2x + 6 are all in slope-intercept form
The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b, where 'm' is the slope of the straight line and 'b' is the y-intercept.
so the given equation are also in the form of slope intercept form
y < 4/5x - 1/5
y > -4/5x + 1/5
y < 2x + 6
y > 2x + 6
are all in slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept.
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What are the coordinates of the image of ()4, 2after a rotation by 90counterclockwise about the origin followed by a reflection across the x-axis? Use the of the grid below is optional (although advised).
1. (4,-2)
2.(-2,-4)
3.(-4,-2)
4.(2,4)
Answer:
(2,4)
Step-by-step explanation:
give brainliest please
In a survey of 500 high school students, 108 have taken Trigonometry, 391 have taken Physics, and 58 have taken both. How many have taken either Trigonometry or Physics?
Answer:
109 took physics and 392 took Trigonometry
Step-by-step explanation:
How do you do log 10 on a calculator?
To calculate log 10 on a calculator, you will typically use the "log" button. Depending on the type of calculator, you may need to enter the number 10 first, then hit the "log" button.
For example, if using a standard scientific calculator, you would enter 10, then hit the "log" button. On some calculators, you may need to hit the "10x" button first before hitting the "log" button. On some graphing calculators, you may need to use the "log base" button. When using this button, you would enter 10 as the base and the number you are trying to calculate the log of.
In some cases, you may need to use the "ln" (natural log) button instead of the "log" button. In this case, you would need to use the conversion formula of "ln x = 2.303 log 10 x" to get the desired number. Finally, some calculators may have an "antilog" button. This button will calculate the inverse of the logarithm or the power of 10 of a given number. To use this button, you would enter the number, then press the antilog button.
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please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
if you are looking for the missing angle then C=58*
if you are looking for the missing sides then you might need to ask someone else
f(x) = -1/2x^2 + 3/2x - 2 I need to find the zeros
Answer:
f(x) = -1/2x² + 3/2x - 2
f(0) = (-1/2 × 0²) + (3/2 × 0) - 2
f(0) = 0 + 0 - 2
f(0) = -2
THANK YOU!!( ◜‿◝ )♡
4 x 9 1/2
four times 9 and a half
Answer:
38
Step-by-step explanation:
4*9 1/2=38
Hand written explanation:
4*9=36
4*1/2=4/2=2
36+2=38
Answer:
the answer is actually 38 that is the correct answer for this particular question it's saved 4 * 9 and a half and the answer is 38
Triangle J K L. Side J K is 5 inches and side J L is 10 inches.
Which could be the length of Side K L?
4 in.
9 in.
16 in.
19 in.
Answer:
9 in.
Step-by-step explanation:
the sum of two sides in a triangle is always longer than the 3rd side. so 9 is the only answer that fits this condition.
What is the value of tan θ?
The value of tan 1 is 45 degree.
tangent is the trigonometric ratio.
we can find out the value of tangent by taking opposite side of the theta angle divided by the adjacent side of the theta angle.
tan Q = perpendicular of triangle /base of triangle.
sine theta divided by cos theta gives the value of tan theta.
tan Q = sin Q/ cos Q.
some formula of the tan Q are as follows,
1- tan Q = sin Q/cos Q
2- tan Q= 1 /cot Q
3-tan^2 Q =sec^2 Q -1
4- tan(90 - Q)=cot Q
5- tan (Q+π)=tan Q
6- tan (π-Q)=-tan Q
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Which graph shows the point K (6,9)?
Answer:
D. shows (6,9)
Step-by-step explanation:
(6,9)
x. y
x=6, y=9
A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. Create a system of equations that models how many of each type of computer the business should buy. 515x 285y
Answer:
515 x + 285 y = 11080
x + y = 30
Step-by-step explanation: