Answer:
The radius of the cup is 3.1 cm.
Step-by-step explanation:
First, we the volume of a right cylinder is [tex]V = πr^{2} h[/tex].
V = volume of the cylinder[tex]π[/tex] = pir = radius of the cylinderh = height of the cylinderNow, using the information that was given to us, we can plug what we know into the equation: [tex]450=πr^{2}(15)[/tex].
From here, we simply solve for r by isolating it to find the radius. *Remember, what we do to one side we must do to the other.
Divide both sides by 15 to cancel it out on the right: [tex]30=πr^{2}[/tex]Divide both sides by pi to cancel it out on the right: [tex]9.549296586=r^{2}[/tex] (do not round until you have your final answer)Square root both sides to cancel out the exponent on the right: [tex]3.090193616=r[/tex]Round to the nearest tenth to get [tex]r=3.1[/tex]Write the equation 2x - 4y = 14 in slope-intercept form, and then find the slope and y-intercept.
Answer:
y = 1/2x - 7/2
Slope: 1/2
Y-intercept: (0, -7/2)
Step-by-step explanation:
We know the slope-intercept form of an equation of a line is y = mx + c where slope is m and y-intercept is c.
So, -4y = (-2)x + 14 [divide both sides by -4]
-4/-4 = -2/-4 + 14/-4
y = 1/2 -7/2
Hence the slope = 1/2 and y-intercept = -7/2.
The femur is the upper leg bone, and the tibia is one of the lower leg bones. the average length of the fumer is 50.5 cm,and the average length of the tibia is 43.03 cm. estimate the total length of the leg if the bones were placed end to end
10 identical spheres of radius 7cm are to be painted. What is the total area of surface to be painted
Answer:
Surface area = 4 π r2 square units
Step-by-step explanation:
calculate the area of this trapezium:
b = 15cm
h = 6cm
top part = 9cm
PLEASE I NEED THIS ASAP !!!
Answer:
72
Step-by-step explanation:
hopefully you dont need work since you need it asap :(
Answer:
Step-by-step explanation:
1/2 (a+b) x h
a+b = 9+15= 24 / 2 = 12
12 x 6 = 72cm2
necesito esto resuelto porfa! en 20 minutos
Carlita has a swimming pool in her backyard that is rectangular with a length of 24 feet and a width of 14 feet. She wants to install a concrete walkway of width c around the pool. Surrounding the walkway, she wants to have a wood deck that extends w feet on all sides. Find an expression for the perimeter of the wood deck.
The required, expression for the perimeter of the wood deck is 4w + 76 + 8c.
The length of the rectangular region will be the original length of the pool plus twice the width of the walkway since the walkway will extend out from both sides of the pool:
Length of rectangular region = 24 + 2c
Similarly, the width of the rectangular region will be the original width of the pool plus twice the width of the walkway:
Width of rectangular region = 14 + 2c
Now, to find the perimeter of the wood deck, we need to add up the lengths of all four sides of the rectangular region. Each side will have a length of w, since the wood deck extends w feet on all sides:
Perimeter of wood deck = 2(w + Length of rectangular region) + 2(w + Width of rectangular region)
Substituting the expressions we found for the length and width of the rectangular region, we get:
Perimeter of wood deck = 2(w + 24 + 2c) + 2(w + 14 + 2c)
= 4w + 76 + 8c
Therefore, the expression for the perimeter of the wood deck is 4w + 76 + 8c.
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can someone help me asap !!
Answer:
The answer is negative. Answer choice B
Step-by-step explanation:
Here is the question:
-3^40(5.6/2.1)
According to order of operations, we must do -3^40 first.
Its important to note that -3^40 is different than (-3)^40. In the problem you specified, the ^40 only applies to the 3, not -3. So, first we do 3^40 which is a huge number. And then, we need to add a negative symbol to that huge number. So now we have a massive negative number multiplied by 5.6/2.1, which is obviously positive. Obviously, a negative number multiplied by a positive number is still negative. Therfore, the answer is negative.
I hope my answer helped you :)
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(2x+1)(x^2+8x-3)
help standard form
Answer:
[tex]2x^3+17x^2+2x-3[/tex]
Step-by-step explanation:
[tex]\left(2x+1\right)\left(x^2+8x-3\right)\\=2xx^2+2x\cdot \:8x+2x\left(-3\right)+1\cdot \:x^2+1\cdot \:8x+1\cdot \left(-3\right)\\=2x^3+17x^2+2x-3[/tex]
In this equation, the variables were isolated to simplify the problem, following the order of operations. Negative-three either became an exponent or positive integer, 3, subtracted by a byproduct of the previous equation.
2. Find the area and the perimeter of these figures.
Answer:
A = 16.78 km squared
P = 14.28 km
Step-by-step explanation:
Area of triangle: (5*4)/2 = 10
Area of Semi-circle: (πr2)/2 = 6.28
Area of figure: 10 + 6.28 = 16.78
Perimeter: 5 + 3 + (2πr)/2 = 8 + (2π) = 8 + 6.28 = 14.28
Hope this helps!
Answer:
i don't know the perimeter but I do know the area hope this helps if it doesn't I am sorry
Ok for area for a triangle is 1/2 ×base×height and for a semi circle it is pi (π)or 3.14 or 22/7×rsquare with is radius x radius
Step-by-step explanation:
lets start with the triangle so it is 1/2×3/1×5/1×4/1 =30/1 =30sqkm
now for the semi circle it is 22/7×2/1×2/1=88/7=12.5÷2=6.2 why is 4/1 turned into 2/1 it is because you are finding area and 4 is the diameter but we need radius so the radius is half of the diameter
so 30+6.2=36.2kmsq
please explain how to do this
what is the mean of each question?
Formula for finding mean:
Mean = (a1 + a2 + ... + an) / n
Mean is another word for average; average number of a data set.
Problems with steps:
---------------------------------------------------------------------------------------
1) 9, 3, 6
Average = Sum/Count
Sum = 18/6
Count = 3
2) 14, 12, 17, 9
52/4
Mean = 13
3) 15,8,10,5,7
= 45/5
Mean = 9
4) 18,19,11
= 48/3
Mean = 16
5) 4,20,16,4
= 44/4
Mean = 11
6) 12,11,12,20,15
= 70/5
Mean= 14
7) 19,8,3
= 30/3
Mean = 10
8) 7,13,6,2
= 28/4
Mean = 7
9) 12,15,17,2,14
60/5
Mean = 12
10) 10,18,8
= 36/3
Mean = 12
11) 5,2 ,0,1
= 8/4
= 2
12) 3,9,5,16,7
= 40/5
Mean = 8
SOLVED !
Hope this helps!
- ROR
Given that (a+b√3)(2-√3)= 5√3-4, find the values of a and b
Answer:
a=π-3/5,B =π-2/5
Step-by-step explanation:
product of roots
sum of roots
which expression gives the length of arc ab of the circumference of the circle is 40 cm
Answer:
110 / 360 * 40 pi
Step-by-step explanation:
Give circumference = 40 pi (NOT 40 cm as posted)
AB covers a fraction of 360 complete circle 110/360 ths
110/360 * 40 pi units
2y=-x+9
3x - 6y=-15
pls helpppp
Answer:
Step-by-step explanation:
The given equations are:
1) 2y = -x + 9
⇒ x = 9-2y
2) 3x - 6y = -15
⇒3x = 6y - 15
x = 2y - 5
Equating the values of x, we get:
9 - 2y = 2y - 5
9 + 5 = 4y
14 = 4y
y = 3.5
Using this value of y in equation 1 we get:
x = 9 - 2(3.5) = 2
So, the solution set is (2, 3.5)
0.75x + 0.8(x + 10) = 101
what is x
Step-by-step explanation:
0.75x + 0.8(x + 10) = 101
0.75x + 0.8x + 8 = 101
1.55x = 101 - 8
1.55x = 93
x = 93 ÷ 1.55
x = 60
There is a pair of parallel sides in the following shape 6,4,8 what is the area of the shape?
Simplify the expression. Write your answer as a power.
((-3)²)⁴
The simplified expression is
Answer:
this is your answer
[tex] {9}^{4} [/tex]
[tex]\large{\sf \boxed{(\sf -3)^8}}[/tex]
Explanation:[tex]\rightarrow \sf ((-3)^2)^4[/tex]
apply exponent rule: [tex]\sf \bf \left(a^b\right)^c=a^{bc}[/tex]
[tex]\rightarrow \sf (-3)^8[/tex]
What is the (LCD) 1/6and 1/3
Answer:
The LCD of 1/6 and 1/3 is 6.
Step-by-step explanation:
Rewriting input as fractions if necessary:
1/6, 1/3
For the denominators (6, 3) the least common multiple (LCM) is 6.
LCM(6, 3)
Therefore, the least common denominator (LCD) is 6.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
1/6 = 1/6 × 1/1 = 1/6
1/3 = 1/3 × 2/2 = 2/6
these box plots show daily low temeratures for a samle of days in two different towns
which statement is the most appropriate comparsion of the centers
The correct statement about the center of both box plots is the median for Town A, 30° is greater median for Town B, 25°
What is the correct statement?A box plot is used to study the distribution of a dataset. The box plot consists of two lines and a box. The two lines are known as whiskers. The whiskers represent the minimum and maximum numbers.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
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What is bigger 1.97x 1.97 × 0.11 inches or 1.89 x 5.42 x 5.2 inches
Answer:
1.89 x 5.42 x 5.2 inches
Step-by-step explanation:
Use your calculator or multiply it yourself, times all of them together.
I kinda need help with this
Applying the leg rule, the value of x in the given right triangle is: A. 6.
What is the Leg Rule?The leg rule for solving a right triangle having an altitude is expressed as:
hypotenuse/leg = leg/part.
In the image given we have the following:
Hypotenuse = 4 + 5 = 9 units
Leg = x
Part = 4
Plug in the values into the leg rule formula:
9/x = x/4
(x)(x) = (9)(4)
x² = 36
x = √36
x = 6 units.
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if A squared plus B squared = C squared, what would it be if you timesd it by 2 waht would u get?
PLEASE HELP ILL LIKE AND ITS WORTH 20 points !!
Answer:
EG=
[tex] \frac{28 }{ \sqrt{3} } [/tex]
EF=
[tex] \frac{56}{ \sqrt{3} } [/tex]
Step-by-step explanation:
You have to memories Trigonometric ratios of 60
simplify the expression
4x(x + 1) (3x − 8) (x + 4)
Answer:
4×(x+1)(3x-8)(x+4)= (4x²+4)(3x-8)(x+4)= (12x³-32x²+12x²-32)(x+4)= (12x³-20x²-32)(x+4)= 12x⁴+48x³-20x³-80x²-32x²-128x= 12x⁴+28x³-112x²-128x
Fawzia has an action figure collection of 500 action figures. She keeps 58% of the action figures on her wall. How many action figures does she keep on her wall?
Answer:
290
Step-by-step explanation:
Formula :
Number of action figures on wall = Total number of figures × % of figures on wall
=============================================================
Given :
⇒ Total number of action figures = 500
⇒ % of action figures on wall = 58%
=============================================================
Solving :
⇒ Action figures on wall = 500 × 58%
⇒ Action figures on wall = 500 × 58/100 (all % are ratios of 100%)
⇒ Action figures on wall = 5 × 58
⇒ Action figures on wall = 290
Total action figures
58% of 5000.58(500)2.9(100)290action figuresDone!
If UW = 9x – 9, what is UW in units?
Answer
36 units
Step-by-step explanation:
UW = UV + VW
9x-9 = 2x - 4 + 4x + 10
9x - 9 = 6x + 6
3x = 15
x = 5
UW = 9(5) - 9 = 45 - 9 = 36
answer is 36 units
What does X= please help
Answer:
27
Step-by-step explanation:
The first angle you get with 180-61 = 119
The second angle you get by the rules of the circle which is 68/2 = 32
And finally X= 180 - 119 - 32 = 27
help me pleaseeeeeeeeeeeeeee
Answer:
C
Step-by-step explanation:
Evaluating the options :
Option A
⇒ 5/2x + 7/2 = 3/4x + 14
⇒ 2.5x - 0.75x = 14 - 3.5
⇒ 1.75x = 10.5
⇒ x = 6
⇒ No ×
===========================================================
Option B
⇒ 5/4x - 9 = 3/2x - 12
⇒ 1.5x - 1.25x = -9 + 12
⇒ 0.25x = 3
⇒ x = 12
⇒ No ×
=========================================================
Option C
⇒ 5/4x - 2 = 3/2x - 4
⇒ 1.5x - 1.25x = -2 + 4
⇒ 0.25x = 2
⇒ x = 8
⇒ Yes √
C is the right answer.
The figure, polygon ABCD is dilated by a factor of 2 to produce A B C D with the origin as the center of dilation
In the polygon ABCD, the production of point A' and point D' is (-2,-2) and (4,-2) respectively.
What is the transformation rule?In coordinate planes, the rule of transformation involves interchanging the x and y values on the plane such that:
[tex]\mathbf{(x,y) \to (k_x, k_y)}[/tex]
where;
k = scale factorFrom the given information:
The scale factor = 2the origin as a center of dilation for image vertices = (0, 0)Now, using the coordinate vertices:
A = (-1, -1)D = (2, -1)The corresponding coordinate of the image vertices is as follows:
A(-1,-1) → A'(2 × (-1), 2 × (-1))
A' = (-2,-2)
D(2,-1) → A'(2 × (2), 2 × (-1))
D' = (4,-2)
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Find the equation of the lien shown.
Answer:
y = [tex]\frac{1}{2}[/tex] x
Step-by-step explanation:
the equation of a line passing through the origin is
y = mx ( m is the slope )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 3) ← 2 points on the line
m = [tex]\frac{3-0}{6-0}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
y = [tex]\frac{1}{2}[/tex] x ← equation of line