The best arrangement can be
3 rows and 4balls each rowSo
Length of one row=1.8(4)=7.2cmWidth=1.8(3)=5.4cmHeight=1.8(2)=3.6cmSo
TSA
2(LB+BH+LH)2(5.4(7.2)+(7.2)(3.6)+3.6(5.4))2(84.24)168.48cm²Total cost
168.48(0.01)1.685€In City Park, the playground takes up 3/8 of the area. The soccer field area is 1/3 of the playground area. The product 13×38 can be used to find the area of the soccer field. Which is the area of the soccer field?
The area of the city park will be equal to 3952 square units.
What is the area?The Area is defined as the space occupied by the two-dimensional geometry in a plane.
We have the following information:-
In City Park, the playground takes up 3/8 of the area:-
[tex]\rm PGA=\dfrac{3}{8}\times CP[/tex]
The soccer field area is 1/3 of the playground area.
[tex]\rm SF=\dfrac{1}{3}\times PGA[/tex]
The product 13×38 can be used to find the area of the soccer field
SF= 13 x 38=494 square units
Noe the PGA will be:-
PGA =3 x SF
PGA= 3 x494=1482 square unit
Now the area of the city park will be calculated as:-
[tex]\rm CP=\dfrac{8}{3}\times PGA\\\\\\CP=\dfrac{8}{3}\times 1482[/tex]
CP=3952 square unit
Hence the area of the city park will be equal to 3952 square units.
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What is 1/4 of 12? I can’t figure it out.
Answer:
3
Step-by-step explanation:
1/4 of 12 means (1/4) x 12
=> (1/4)x12
=> 12/4
=> 3
Answer: Heyaa! ~
Your Answer would be 3!
Step-by-step explanation:
We can write 1/4 of 12 as 1/4 × 12
To multiply fractions, follow the given steps:
Multiply the numerators.
Multiply the denominators.
Reduce the resultant fraction to its lowest terms.
Now,
1/4 × 12 = (1 × 12) / 4 = 12/4 = 3
Meaning the answer is.. 1/4 of 12 = 3
Hopefully this helps you!
Simplify:
2r + 7 + 11r + 3
Answer:
13r+10
Step-by-step explanation:
1. Combine Like Terms
(2r+11r)+(7+3)
13r+10
Answer:
13r+10
Step-by-step explanation:
2r+7+11r+3
collect like terms
2r+11r+7+3
13r+10
SOMEONE PLEASE HELP ME
Answer:
A= 77/2 or 38.5 cm^2 and p= 29.5 cm
Step-by-step explanation: Remember the formula for area and perimeter for a triangle A=1/2bh and P= a+b+c. So the equations would look like A=1/2 x 11 x 7 and P= 11 + 11 + 7.5 and that'll result in A= 77/2 or 38.5 cm^2 and p=29.5 cm.
A sociologist wishes to test . the sociologist takes a sample of size 100 and calculates a standardized test statistic of -2.34. to calculate a p-value for the test in excel, the sociologist should use:
Answer:
One-sample Z-test
Step-by-step explanation:
As the sample size is greater than 30, assuming the data is a simple random sample, and that the data has a normal distribution, the sociologist should conduct a one-sample z-test to calculate the p-value.
What is the Slope-Intercept form of the equation of a line that passes through the point (5,-3) and is parallel to the line y = 2x +3?
Answer:
123456098765432112345678900000000000000000000000987654444443221111111111122222233333333333334444444444455555555555556666666666666667777777777888888888889999999000
Step-by-step explanation:
I’m confused on where you got the numbers from. Did you get them from the amount of full squares each shape takes up?
A square simply means a shape that has four equal sides and four equal angles.
How to illustrate the square?Your information is incomplete. Therefore, an overview of a square will be given.
A square is a quadrilateral. It's also a rectangle that has two equal length adjacent sides. The four angles are equal to 90° each and are congruent to each other.
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53. (a) if the symbol [tex]\lbrack\rbrack[/tex] denotes the greatest integer function defined in example 10 , evaluate
(i) [tex]\lim _{x\rightarrow-2^+}\lbrack x\rbrack[/tex]
(ii) [tex]\lim _{x\rightarrow-2}\lbrack x\rbrack[/tex]
(iii) [tex]\lim _{x\rightarrow-2.4}\lbrack x\rbrack[/tex]
If x is between two consecutive integers such that n ≤ x < n + 1, then the greatest integer function [x] maps x to the largest integer smaller than x so that [x] = n.
(i) If x is approaching -2 from above, that means x > -2. As x gets closer to -2, we essentially have -2 < x < -1, so that [x] will approach
[tex]\displaystyle \lim_{x\to-2^+} [x] = \boxed{-2}[/tex]
(ii) However, if x is approaching -2 from below, then x < -2, so that [x] = -3. In other words
[tex]\displaystyle \lim_{x\to-2^-} [x] = -3 \neq -2[/tex]
Because the one-sided limits do not match, the two-sided limit
[tex]\displaystyle \lim_{x\to-2} [x] ~~\boxed{\text{does not exist}}[/tex]
(iii) -2.4 lies between -3 and -2, so
[tex]\displaystyle \lim_{x\to-2.4} [x] = \boxed{-3}[/tex]
Kent multiplies both sides of the equation below by an expression. k startfraction 12 over k endfraction = 8 then he moves all the terms to one side of the equal sign in the resulting equation. which equation must he solve now?
The resulting equation that Kent has when he moves all the terms to one side of the equal sign is k² - 8k + 12 = 0
What is quadratic equation?A quadratic function is a function that usually has a single variable and it is raised to the power of 2. An example is x² + 10x + 25 = 0
Given this equation: k + 12/k = 8
If both sides are multiplied by k, the equation becomes: k² + 12 = 8k
If all the terms are moved to one side of the equal sign: k² - 8k + 12 = 0
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Answer:
d
Step-by-step explanation:
edge
Which of the following functions is represented in the graph shown?
f(x) = −2cos(2x) + 1
f(x) = −4cos(2x) − 1
f(x) = −2cos(x) − 1
f(x) = −4cos(x) + 1
Answer:
[tex]f(x)=-2\cos(2x)+1[/tex]
Step-by-step explanation:
Recall the general cosine equation
Function: [tex]f(x)=a\cos(bx+c)+d[/tex]Amplitude: [tex]|a|[/tex]Period: [tex]\frac{2\pi}{|b|}[/tex]Vertical Shift: [tex]-\frac{c}{b}[/tex]Midline: [tex]y=d[/tex]Identify amplitude
[tex]\text{Amplitude}=\frac{\text{Max-Min}}{2}=\frac{3-(-1)}{2}=\frac{4}{2}=2[/tex]
Identify period and solve for b
[tex]\frac{3\pi}{2}-\frac{\pi}{2}=\pi\\ \\\frac{2\pi}{|b|}=\pi\\ \\2\pi=b\pi\\\\2=b[/tex]
Identify midline
[tex]y=d=1[/tex]
Final Equation
[tex]f(x)=-2\cos(2x)+1[/tex]
Also, the reason why [tex]a=-2[/tex] is because a cosine function starts at its maximum, but since it starts at its minimum, the value of [tex]a[/tex] must be negative and causes the wave to flip about the midline.
PLEASE HELP !!!!!!!!
Answer:Angle BCE
Step-by-step explanation:
look across from point C
find the volume of the compound shape.
[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]v = \frac{4}{3} \times \pi \times {2}^{3} [/tex]
[tex]v = 33.51 \: {m}^{3} [/tex]
Volume of the cylinder:[tex]v = \pi {r}^{2} h[/tex]
[tex]v = \pi \times {2}^{2} \times 6[/tex]
[tex]v = 75.40 \: {m}^{3} [/tex]
Total volume:[tex]v = 75.40 + 33.51[/tex]
[tex]v = 108.91 \: {m}^{3} [/tex]
Hence, the volume of the given compound shape is 108.91 cubic meters.
sphere:
= 33.51 m^3
cylinder:
= 75.40 m^3
all together:
= 108.91 m^3
#3. estimate the perimeter and area of the figure to the nearest whole number
Answer:
Perimeter = 29 unitsArea = 37 square unitsStep-by-step explanation:
Perimeter
1 + 2(3) + 6 + 8 + √(5² + 6²)15 + 6 + √6121 + 8 (nearest whole number)29 unitsArea
2 x 2 + 3 x 6 + 1/2 x 5 x 64 + 18 + 1537 square unitshow to answer this question ?
The sides
12-3a
12-3a
4(2a-5)=8a-40
so for perimeter we + them
(12-3a)+(12-3a)+(8a-40)
=
2a-16
A cuboid with dimensions 45 cm by 16 cm by 12 cm is cut to form smaller cubes of
length 4 cm. What is the maximum number of cubes that can be obtained?
Answer:
135 cubes
Step-by-step explanation:
Volume of cuboid :
45 x 16 x 12720 x 128,640 cm³Volume of a small cube :
(4)³64 cm³Number of cubes :
n = 8,640/64n = 135 cubesThe phythagorean spiral is a spiral composed of right angles triangle. Using the information provided on the spiral calculate p
The right angle triangle has an angle that is 90° while the other angles makes up 90° too.
What is a right angle triangle?Your information is incomplete. Therefore, an overview of right angle triangle will be given. It should be noted that a right angle triangle simply means a triangle that has aright angle which is 90°.
The hypothenuse is the longest side in a right angle triangle which is the side facing the 90°.
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Find two positive consecutive odd integers such that the square of the large integer is one less than twice the square of the smaller integer.
Step-by-step explanation:
x, x+2 are the two positive consecutive of integers (x + 2, because the minimum distance between 2 odd numbers is always 2, as there can never be 2 odd numbers directly following each other; and neither can even numbers, by the way).
(x+2)² = 2×x² - 1
x² + 4x + 4 = 2x² - 1
0 = x² - 4x - 5
we can solve this by factoring.
that means we need to find a and b so that
(x - a)(x - b) = x² - 4x - 5 = 0
and x = a and x = b are the 2 solutions of the quadratic equation.
x² - ax - bx + ab = x² - 4x - 5 = 0
x² - (a+b)x + ab = x² - 4x - 5 = 0
a+b = 4
ab = -5
that means that either a or b has to be 5 and the other -1.
so, the result is
(x - 5)(x + 1) = 0
x = 5
or
x = -1
are the possible solutions.
since we are only looking for positive integers, x = -1 is not a valid solution.
and only x = 5 remains as valid solution.
therefore, the 2 positive consecutive odd integers are
5, 7
please please answer (-2)(-4)(-1)(-7)(1) = and explain
Answer:
56
Step-by-step explanation:
(-2)(-4)(-1)(-7)(1) =
(8)(-1)(-7)(1) =
(-8)(-7)(1) =
(56)(1) = 56
hope this helps
have a good day
A helicopter is flying over a straight highway between
two exits, A and B. The angle of depression from the
helicopter to exits A and B are 28° and 45°,
respectively. If the exits are 4 miles apart, find the
height of the helicopter
Answer:
about 1.3885 miles ≈ 7331 ft
Step-by-step explanation:
The height of the helicopter can be found using the tangent relation, which we know relates the sides and angles of a right triangle by ...
Tan = Opposite/Adjacent
__
setupWith reference to the attached diagram, the above relation can be used to find the lengths of AC and BC, which we know total 4 miles.
tan(28°) = h/AC ⇒ AC = h/tan(28°) = h·tan(90° -28°) = h·tan(62°)
tan(45°) = h/BC ⇒ BC = h/tan(45°) = h·tan(90° -45°) = h·tan(45°)
The total distance between A and B is then ...
AB = AC +BC
4 = h·tan(62°) +h·tan(45°) = h(tan(62°) +tan(45°))
solutionDividing by the coefficient of h, we have the value of h:
h = 4/(tan(62°) +tan(45°)) = 4/(1.88073 +1) ≈ 1.38854 . . . . miles
In feet, that is ...
(1.38854 mi)(5280 ft/mi) = 7331 ft
The height of the helicopter is 1.38854 miles, or 7331 feet.
You roll a 6-sided die.
What is P(greater than 4 or factor of 5)?
Answer:
P(greater than 4 or factor of 5) = 1/3
Step-by-step explanation:
→ let A be the set {the numbers greater than 4}
then A : {5 , 6}
p(A) = 2/6
→ let B be the set {the factors of 5}
then B : {1 , 5}
p(B) = 2/6
P(greater than 4 or factor of 5) = p(A∪B)
Formula =================
p(A∪B) = p(A) + p(B) - p(A∩B)
………………………………………………
A∩B : {5}
then
cardA∩B = 1
Then
p(A∩B) = 1/6
Finally :
p(A∪B) = p(A) + p(B) - p(A∩B)
= 2/6 + 2/6 - 1/6
= 3/6
= 1/3
The volume of a cone is 48π cm3. If this cone is placed inside of a cylinder with the exact same sized base and height, how much empty space is left in the cylinder?
Answer:
32π cm^3.
Step-by-step explanation:
The volume of a cone is 1/3 of the volume of a cylinder with the same base area and height.
So the empty space = 2/3 * 48π
= 32π cm^3.
Juanita has 2 rolls of film with 36 exposures and 3 rolls of film with 24 exposures. How many photos can she take with this film? She can take ____ pictures
Answer:
65 pictures because 24+36+3+2
find the zeros f(x)=x^2+4x-12
Answer:
Step-by-step explanation:
f(x)=x2−4x−
12Set x2−4x−
12 equal to 0.x2−4x−
12
=
0
Solve for
x
.
x
=
6
,
−
2
What is 10% of 695,000
Answer:
69500
Step-by-step explanation:
[tex]\frac{695000}{x}=\frac{100\%}{10\%}\\\frac{x}{695000}=\frac{10}{100}\\\Rightarrow x=69500[/tex]
A packed box that is being shipped will be weighed in order to calculate the correct postage needed. The total weight of a packed box will be the combined weight of the empty box and the product that is placed in the box. Jasmine is currently packing medium-sized boxes. Before packing her first box, Jasmine measured the weight of the empty medium-sized box to be 0.88 pounds. After packing the box, Jasmine measured the total weight of the box to be 7.24 pounds.
Complete the following equation so that it can be used to find the weight, w, of the product inside the first box that Jasmine packed, and then find the weight of the product.
0.88 pounds + w pounds = 7.24 pounds
The weight of the product inside the first box is
pounds ____?
Answer: 6.36lb
Step-by-step explanation:
Step-by-step explanation:
Total Weight of the package = weight of product + weight of box
Weight of empty box =0.88lb
Total weight of the box is =7.24lb
Let Weight of product inside box=w
Let wet of empty box =y
Total weight = F
Then,
F=y+w
Since F=7.24lb. y=0.88
Then, w=F-y
w=7.24-0.88
w=6.36lb
The weight of the product is 6.36lb
hope this helps :)
what is the exponent of 24?
Answer:
576
Step-by-step explanation:
24 squared which means 24 multiplied by itself(24)
I hope my answer is okay
Please help me solve these problems *all of them solved. I have been struggling the other day doing these. please give me the answers and the explanation.
Step-by-step explanation:
Q1. volume of a cylinder
Ans. The way you find a volume of a regular object is multiplying the base area by height Here the base area is a circle so formula would be pi times r square (πr^2). To get the volume multiply it by 4. Final answer would be π(3)^2*4
In circle H with m/GHJ = 82 and GH = 12 units, find the length of arc GJ.
Round to the nearest hundredth.
H
The length of the arc GJ is 17.17 units if the in circle H with m/GHJ = 82 and GH = 12 units.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have angle GHJ = 82 units
Length of GH = 12 units
We know:
s = 2πr(θ/360)
s = (2π)12(82/360)
s = 17.17 units
Thus, the length of the arc GJ is 17.17 units if the in circle H with m/GHJ = 82 and GH = 12 units.
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Pls answer I’ll mark brainly
Answer:
52 miles
Step-by-step explanation:
since 1 unit is 26 miles and the distance from Daytona beach to Orlando on the map is 2 units just multiply 26 by 2 to get 52 miles
Can somebody please help me?
Answer:
1 23/36
Step-by-step explanation:
hope this helped