Answer:
396 in.^2
Step-by-step explanation:
The cushion is shaped like a cylinder with 14 inch diameter and 2 inch height.
We need to find the surface area of the cylinder.
diameter = 14 in.
radius = diameter/2 = 7 in.
height = 2 in.
A = 2(pi)r^2 + 2(pi)rh
A = 2(3.14159)(7 in.)^2 + 2(3.14159)(7 in.)(2 in.)
A = 395.84 in.^2
A = 396 in.^2
The amount of fabric that Maggie will need for manufacturing the cushion is 395.84 sq. inches.
What is the surface area of a cylinder?Supposing that a considered cylinder has radius of 'r' units and height 'h' units, then the surface area of that cylinder would be:
[tex]S = \pi r^2 + \pi r^2 + 2\pi r h = 2\pi r(r + h) \: \rm unit^2[/tex]
The table's diameter is of 14 inches. That means, its radius is of 14/2 = 7 inches.
The cushion is going to have 2 inches extra from all sides, so approximately, it is going to be like a cylinder with radius 7 inches and height 2 inches.
The fabric needed for making cushion (from outer side only) in terms of area is same as the surface area of cylinder with radius of 7 inches and height of 2 inches.
Thus, the amount of fabric that Maggie will need for manufacturing the cushion is [tex]S = 2\pi r(r + h) = 2\pi \times 7(7 + 2) \approx 395.84 \: \rm in^2[/tex]
Learn more about area of a circle here:
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the sum of 2 times a number and 4 equals 3
HELP ASAP
Answer:
The number is - ½
Step-by-step explanation:
Let the missing number be x
2x + 4 = 3
2x = 3 - 4
2x = - 1
x = - ½
Answer:
-1/2
Step-by-step explanation:
you have to make it like this and use a variable:
2x+4=3
take away 4 from both sides:
2x= -1
divide by 2:
x = -1/2
The length of a rectangle is the sum of the width and 1. The area of the rectangle is 20
units. What is the width, in units, of the rectangle?
Answer:
4 units
Step-by-step explanation:
Create an equation where w is the width of the rectangle
Use the area formula, A = lw.
Since the length is the sum of the width and 1, it can be represented by w + 1
Plug in this and the area into the formula, and solve for w
A = lw
20 = (w + 1)(w)
20 = w² + w
w² + w - 20
(w + 5)(w - 4)
Solve for w:
w + 5 = 0
w = -5
w - 4 = 0
w = 4
Since the width cannot be negative, the answer must be 4.
So, the width of the rectangle is 4 units.
Answer:
Solution :-We know that
Area = Length × Width
Area = w + 1 × w
Area = w² + w
w² + w - 20
w² + (5w - 4w) - 20
(w + 5)(w - 4)
Either
w = -5
or w = 4
Breadth can't be negative
So,
Breadth = 4 units
Based on the figure, which of the following equations is also true?
с
A sin 38°
17
17
B cos 38°
с
17
cos 52°
с
с
D tan 52°
17
Answer:
The correct answer is B.
Step-by-step explanation:
Because you know two of the angles in a triangle are 90° and 52°, you can infer that the third angle is 38°. There is a trigonometry rule that states the sine of an angle is equivalent to the cosine of 90° minus that angle, which you can apply to here. Since [tex]Sin(52[/tex]°[tex])[/tex] = [tex]\frac{17}{c}[/tex], you know that [tex]Cos(90[/tex]°[tex]-52[/tex]°[tex])[/tex] or [tex]Cos(38[/tex]°[tex])[/tex]also equals [tex]\frac{17}{c}[/tex], so choice B is the correct answer.
Solve for the given variable in the equation: ½ n - 3 = 5
n = _______
Answer:
The correct solution is "n = 16".
Step-by-step explanation:
The given equation is:
⇒ [tex]\frac{1}{2} n-3=5[/tex]
On adding "3" both sides, we get
⇒ [tex]\frac{1}{2} n-3+3=5+3[/tex]
⇒ [tex]\frac{1}{2}n=8[/tex]
On applying cross multiplication, we get
⇒ [tex]n=8\times 2[/tex]
⇒ [tex]n=16[/tex]
The circle shown has a radius of 4 cm.
Not drawn
to scale
Х
What is the length of the diameter of the circle?
Answer:
8 cm
Step-by-step explanation:
:)
a jug holds 2 cups of liquid. a recipe for fruit punch is 1/2 cups of orange juice. 1/4 cup of raspberry juice, 3/8 cups of grapefruit juice, and 5/8 cups of lemonade. the the jug big enough for the punch? explain
Help please due today!!
PLEASE HELP WILL MARK BRAINLIEST HELP QUICK
Answer:
first one is 16,956m^2 second one is 6 in
Type equation for the line shown in the graph
Answer:
y = [tex]\frac{1}{2}[/tex] x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 5) ← 2 points on the line
m = [tex]\frac{5-3}{2+2}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 5 ) , then
5 = 1 + c ⇒ c = 5 - 1 = 4
y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line
PLEASE HELP ASAP AND PLS HURRY NO LINKS
Samantha and her children went into a grocery store and she bought $7 worth of bananas and peaches. Each banana costs $0.40 and each peach costs $0.50. She bought a total of 15 bananas and peaches altogether. Determine the number of bananas and the number of peaches that Samantha bought.
Answer: 10 peaches and 5 bananas
Step-by-step explanation:
To solve the problem increase the cost by adding more peaches and less by adding more bananas
7 peaches = 3.50
8 bananas = 3.20 + 3.50 = 6.70
We need 30 more cents so add three more peaches
10 peaches = 5
5 x 0.4 = 2
2 + 5 = 7
A group of people are fundraising, and each person raises a certain amount of money for every mile they walk. Each person's fundraising is
represented below using d for the dollars that person raises and w for the miles that person walks
Answer:
lk
Step-by-step explanation:
on
348.562 in expanded form:
Answer:
300 plus 40 plus 8 plus 0.5 plus 0.06 plus 0.002
A number x is rounded to 1 decimal place and its 3.7
write down the error interval for x
The error interval for x would be (3.65, 3.75), indicating that the true value of x lies within this range.
Given that a number x is rounded to 1 decimal place and its 3.7.
We need to find the error of the interval for x,
To determine the error interval for the rounded number 3.7, we need to consider the possible range of values that could have been rounded to 3.7 when rounded to 1 decimal place.
When rounding to 1 decimal place, we look at the digit immediately to the right of the decimal point. If this digit is 5 or greater, we round up. If it is less than 5, we round down.
In this case, 3.7 is the rounded value, which means the original number could have been rounded up from a value greater than or equal to 3.65 or rounded down from a value less than 3.75.
Therefore, the error interval for x would be (3.65, 3.75).
Learn more about error interval click;
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14
km
Find the area of the triangle.
A)
52 km2
B)
84 km2
C)
168 km2
D)
336 km2
Answer:
its D
336 km2
Step-by-step explanation:
I need help on this question (^～^;)ゞ
Answer:
which part bro I need to know at least
Which is the opposite of -5?
Answer: 5
Step-by-step explanation: 5*-1=-5
The proportion of twins born in a town is p = 0.12. Suppose we randomly select 100 women from this town who
give birth in the next year. Which is the best description of the shape for the sampling distribution of ?
skewed left
skewed right
uniformly distributed
approximately Normal
Answer:
D: Approximately Normal
Step-by-step explanation:
I got it right on edg.
For 0 ≤ ϴ < 2π, how many solutions are there to tan(StartFraction theta Over 2 EndFraction) = sin(ϴ)? Note: Do not include values that are undefined for tan or sin(ϴ).
Answer:
3 solutions:
[tex]\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}} [/tex]
Step-by-step explanation:
So, first of all, we need to figure the angles that cannot be included in our answers out. The only function in the equation that isn't defined for some angles is [tex]tan(\frac{\theta}{2})[/tex] so let's focus on that part of the equation first.
We know that:
[tex]tan(\frac{\theta}{2})=\frac{sin(\frac{\theta}{2})}{cos(\frac{\theta}{2})}[/tex]
therefore:
[tex]cos(\frac{\theta}{2})\neq0[/tex]
so we need to find the angles that will make the cos function equal to zero. So we get:
[tex]cos(\frac{\theta}{2})=0[/tex]
[tex]\frac{\theta}{2}=cos^{-1}(0)[/tex]
[tex]\frac{\theta}{2}=\frac{\pi}{2}+\pi n[/tex]
or
[tex] \theta=\pi+2\pi n[/tex]
we can now start plugging values in for n:
[tex] \theta=\pi+2\pi (0)=\pi[/tex]
if we plugged any value greater than 0, we would end up with an angle that is greater than [tex]2\pi[/tex] so, that's the only angle we cannot include in our answer set, so:
[tex]\theta\neq \pi[/tex]
having said this, we can now start solving the equation:
[tex]tan(\frac{\theta}{2})=sin(\theta)[/tex]
we can start solving this equation by using the half angle formula, such a formula tells us the following:
[tex]tan(\frac{\theta}{2})=\frac{1-cos(\theta)}{sin(\theta)}[/tex]
so we can substitute it into our equation:
[tex]\frac{1-cos(\theta)}{sin(\theta)}=sin(\theta)[/tex]
we can now multiply both sides of the equation by [tex]sin(\theta)[/tex]
so we get:
[tex]1-cos(\theta)=sin^{2}(\theta)[/tex]
we can use the pythagorean identity to rewrite [tex]sin^{2}(\theta)[/tex] in terms of cos:
[tex]sin^{2}(\theta)=1-cos^{2}(\theta)[/tex]
so we get:
[tex]1-cos(\theta)=1-cos^{2}(\theta)[/tex]
we can subtract a 1 from both sides of the equation so we end up with:
[tex]-cos(\theta)=-cos^{2}(\theta)[/tex]
and we can now add [tex]cos^{2}(\theta)[/tex]
to both sides of the equation so we get:
[tex]cos^{2}(\theta)-cos(\theta)=0[/tex]
and we can solve this equation by factoring. We can factor [tex]cos(\theta)[/tex] to get:
[tex]cos(\theta)(cos(\theta)-1)=0[/tex]
and we can use the zero product property to solve this, so we get two equations:
Equation 1:
[tex]cos(\theta)=0[/tex]
[tex]\theta=cos^{-1}(0)[/tex]
[tex]\theta={\frac{\pi}{2}, \frac{3\pi}{2}}[/tex]
Equation 2:
[tex]cos(\theta)-1=0[/tex]
we add a 1 to both sides of the equation so we get:
[tex]cos(\theta)=1[/tex]
[tex]\theta=cos^{-1}(1)[/tex]
[tex]\theta=0[/tex]
so we end up with three answers to this equation:
[tex]\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}} [/tex]
Answer:
its D. 3
Step-by-step explanation:
for speed runners
Help me grade 9! Thankyou
Answer:
got ya
Step-by-step explanation:
A shipping container is in the shape of a right rectangular prism with a length of 5 feet, a width of 12.5 feet, and a height of 14 feet. The container is completely filled with contents that weigh, on average, 0.78 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
102 pounds
Step-by-step explanation:
Volume of Right rectangular prism = 12 * 8.5 * 4 = 408 cubic feet
Density = Mass / Volume
=> 0.25 = Weight of contents in container / Volume of container
=> 0.25 = Weight of contents in container / 408
=> Weight of contents in container = 0.25 * 408
=> Weight of contents in container = 102 pounds
Answer:
683lb
Step-by-step explanation:
Please help pleaseeee I really need answers only
☁️ Answer ☁️
5. IS E (none of these)
Because I got:
-125y^5/162x
6. X = 5/3
Hope it helps.
Have a nice day noona/hyung.
Answer:
5. C. (250xy⁴)/2436. C. x = 5/3
how do you get from 1/12 to 2/3? please hurry, i am confused
Answer:
to get to 2/3 from 1/12, add 7/12 to 1/12.
Step-by-step explanation:
8/12 is equivalent to 2/3
Θ lies in quadrant III, φ lies in quadrant I. cos θ = -8 /17 , cos φ = 15 /17 . What is cos (θ - φ)?
Answer:
cos(θ - φ) is -240/289
Step-by-step explanation:
The given parameters are;
The location of θ = Quadrant III
The location of φ = Quadrant I
cos(θ) = -8/17
cos(φ) = 15/17
By trigonometric identities, we have;
cos(θ - φ) = cos(θ)·cos(φ) - sin(θ)·sin(φ)
Given that 'θ' is in quadrant III, we have;
sin(θ) is negative
By Pythagoras' theorem, we have;
∴ sin(θ) = -√(17²- 8²)/17 = -15/17
Whereby 'φ' is in quadrant I, by Pythagoras' theorem, we have;
sin(φ) = √(17² - 15²)/17 = 8/17
∴ cos(θ - φ) = (-8/17) × (15/17) + (-15/17) × (8/17) = -240/289 = -0.83044982699
Quinn is a contestant on a quiz show. Quinn's score changes by -15 points for 4 questions in a row. ) What is the total change in Quinn's score?
Answer: Quinn is a contestant on a quiz show. Quinn's score changes by -15 points for 4 questions in a row. ) What is the total change in Quinn's score?
hope this help :}
Solve x/3 = 9.
anyone wanna help lol?
Answer:
x=27
Step-by-step explanation:
Answer:
The answer would be 27
Step-by-step explanation:
Times three by nine to get the value of x.
This app is so bad nowadays. No one answers your questions and if they do they respond with useless links...
Answer:
I know. It's a pain. I just put tons of points on and that seems to attract people.
Step-by-step explanation:
product of 2 and the difference between t and 1 is 14
Answer:
2x + t - 1 =14
Step-by-step explanation:
give me brainliest plz and hope this helps also i am very good at math so that is a reassurance that this is correct
HALPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP. Please no links :P
Answer:
it will be x < 2
Step-by-step explanation:
Because the circle means greater than or less than. And if the circle isn't fillied up it means it is greater than or equal to or less thanor equal to.
Jason and Pam recently bought a house. They financed the house with a $250,000, 30-year mortgage with a nominal interest rate of 77% compounded monthly. Mortgage payments are made at the end of each month. What would be their house payment?
Answer:
Annual payument (PMT)= $1,663.19
Step-by-step explanation:
Giving the following information:
Loan (PV)= $250,000
Monthly interest rate (i)= 0.07/12= 0.005833
Number of periods (n)= 12*30= 360 months
To calculate the monthly payment, we need to use the following formula:
Annual payument (PMT)= (PV*i) / [1 - (1+i)^(-n)]
Annual payument (PMT)= (250,000*0.005833) / [1 - (1.005833^-360)]
Annual payument (PMT)= $1,663.19
(8,1), (-2,-5) midepoint
Answer:
(3, -2)
Step-by-step explanation:
The x-coordinate of the midpoint of the line segment connecting (8, 1) and (-2, -5) is -2 plus half the horizontal distance from -2 to 8, which is 10, or 5. We add 5 to -2, obtaining 3 units.
The y-coordinate of the midpoint is found similarly. The vertical distance between the two given points is 1 - (-5), or 6 units. Half of that is 3 units. Adding 3 units to -5 yields -2.
The midpoint is (3, -2).
Thus, the coordinates of the midpoint at (-7, 6)