Answer:
Radius, r = 3.8 inch
Step-by-step explanation:
A roll of gift-wrapping paper can cover 232.2 sq. in. Jimmy wants to wrap a soccer ball that he is giving as a gift.
We need to find the maximum radius of the ball that Jimmy can wrap. The volume of a spherical shaped object is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
r = radius of the ball
[tex]r=(\dfrac{3V}{4\pi})^{1/3}\\\\r=(\dfrac{3\times 232.2}{4\times 3.14})^{1/3}\\\\r=3.8\ \text{inch}[/tex]
So, the maximum radius of the ball that Jimmy can wrap is 3.8 inches. Hence, this is the required solution.
The maximum radius of the ball that Jimmy can wrap is 3.8 inches.
Maximum radius of the ball
The maximum radius of the ball is calculated from volume of a sphere.
V = ⁴/₃πr³
where;
r is radius of the spherical ball232.2 = ⁴/₃πr³
3(232.2) = 4πr³
696.6 = 4πr³
r³ = 696.6/4π
r³ = 55.433
r = (55.433)^¹/₃
r = 3.8 in
Thus, the maximum radius of the ball that Jimmy can wrap is 3.8 inches.
Learn more about radius here: https://brainly.com/question/390660
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A cylindrical tin of height 15 cm and radius 4 cm is filled with sand from a rectangular box. How many times can the tin be filled if the dimensions of the box are 50 cm by 40 cm by 20 cm?
Answer:
Volume of Box / volume of tin = number of tins required
Volume of box =50*40*20= 40000 cu.cm
Volume of Tin = pi*r^2*h=pi*4^2*15 = 754 cu.cm
4000/754= 53 tins (rounded off)
Step-by-step explanation: i'm sorry if this is a bit complicated but i hope it answers your question. Take care.
approximate the value of √5 to the nearest hundredth
Answer:
2.24
Step-by-step explanation:
[tex]\sqrt{5}[/tex] = 2.236067977...
Rounded to the nearest hundredth = 2.24
Answer: 2.24
Step-by-step explanation:
Use a calculator of some sort and find the square root of 5. Round to two decimal places after the whole number.
Isabella watched the cashier scan the 7 items in her shopping cart. The scanned prices were
$9.00 $9.00 $8.00 $5.00 $7.00 $4.00 $7.00
What was the median price of the items?
Answer:
$7.00
Step-by-step explanation:
First you have to order the prices from least to greatest-
$4.00, $5.00, $7.00, $7.00, $8.00, $9.00, $9.00
Median means the number in the middle so you find the middle number which is $7.00 (the 4th number from least to greatest)
What is the area of the triangle?
8
10
6
units
Answer:
A = 24 units^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
The base is 6 and the height is 8
A = 1/2(6) *8
A = 24 units^2
You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-2,-3),
(-2,4), (5,4) and (5,-3). Find the perimeter in yards and the area in square yards of the floor.
Answer:
Perimeter = 28 yards
Area = 49 square yards.
Step-by-step explanation:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).
Using distance formula, we get
[tex]AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7[/tex]
Similarly,
[tex]BC=\sqrt{(5-(-2))^2+(4-4)^2}=7[/tex]
[tex]CD=\sqrt{(5-5)^2+(4-(-3))^2}=7[/tex]
[tex]AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7[/tex]
It is conclude that, [tex]AB=BC=CD=AD[/tex].
From the given points it is clear that all sides lie on either vertical or horizontal lines.
Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.
Perimeter of square floor is
[tex]P=4a=4(7)=28\text{ yards}[/tex]
Area of square floor is
[tex]A=a^2=7^2=49\text{ sq. yards}[/tex]
Therefore, the perimeter is 28 yards and the area is 49 square yards.
The sum of 3c2d3 + (-5c2d3) + 10c2d3 is
Answer:
8c to the pwr of 2 d to the pwr of 3
Step-by-step explanation:
i think
Answer: To find the SUM of this expression, you end up with 8c^2*d^3. (Vote me brainliest please)
Hello, this is the owner sister, but can you please help me?b Please dont remove this for silly things
AC =
Round your answer to the nearest hundredth.
B
6
70degrees
A
?
с
Answer:
AC ≈ 2.18 units
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan70° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6}{AC}[/tex] ( multiply both sides by AC )
AC × tan70° = 6 ( divide both sides by tan70° )
AC = [tex]\frac{6}{tan70}[/tex] ≈ 2.18 ( to the nearest hundredth )
What is a salesperson's commission on a $1000 sale if the commission rate is 20%?
Solve the equation.4[x+1/3]=20
Answer:
[tex]x=\frac{14}{3}[/tex]
Step-by-step explanation:
Open the brackets.
[tex]4x +\frac{4}{3}=20[/tex]
[tex]4x=\frac{56}{3}[/tex]
[tex]x=\frac{14}{3}[/tex]
Answer:
So first we need to divide both sides by four. The four on the left side will cancel out and the right side will become 5. Next we have
x+1/3=5
Now we need to subtract both sides by 1/3. The 1/3 will cancel out and the 5 will become 4 2/3.
All we will be left with is x
x = 4 2/3
someone plz help me!
answer
d is the answer to the question
84 is 30% of what number?
2.8
25.2
280
2520
Answer:
280
Step-by-step explanation:
30%=30/100=0.3
Let's call the mystery number x.
84=0.3x
84/0.3=0.3x/0.3
x=84/0.3=280
Hope this helps!
I'm so sorry but I forgot and some of my notes are at school ( don't mind the yellow/orange high light )
Answer:
its a scalene triangle
Step-by-step explanation:
find the product of -8 (-12)
Answer:
-8(-12) = 96
Step-by-step explanation:
The word product, in mathematical terms, is the answer you get after multiplying something. So, to find the product of -8(-12), you have to multiply. A negative times a negative is equal to a positive, so -8 times -12 is equal to positive 96.
50 POINTS!! WILL MARK BRAINLIEST FOR CORRECT ANSWER!
The diagram shows a cuboid.
The height of the cuboid is 6cm.
The volume is 90cm3
What is the area of the shaded face?
Answer:
The area of the face is 15 cm^2
Step-by-step explanation:
The formula for volume is
V = Bh where B is the area of the base and h is the height
90 = B * 6
Divide each side by 6
90/6 = 6B/6
15 = B
The area of the face is 15 cm^2
Answer:
15cm^2
Step-by-step explanation:
width will be 6cm since its side face is square.
V=lwh
90cm^3=l*6cm*6cm
90cm^3=36cm^2*l
l=90cm^3/36cm^2
l=2.5cm
so the area of the shaded face will be..
A=l×W
A=2.5cm*6cm
A=15cm^2
What's the center of the circle with the equation
(x−9)^2+(x+16)^2=25?
(9,−16)
(−9,16)
(3,−4)
(−3,4)
Answer:
Center = (9, -16)
Step-by-step explanation:
So you already have the center in the equation.
The base form is [tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) = center.
Center = (9, -16)
Round 100.9052 to the nearest 10th
Answer:
100.9
Step-by-step explanation:
The 10th place is the one one right after the decimal, in this case 9. Since there's a 0 next to the nine you don't have to change anything. Thus you get 100.9
Rod has to read a book which has p pages. He plans to read r pages each day for d days.
Write an equation for the number of pages left, b, in the book, after d days.
Answer:
Look at the attachment
The equation is an illustration of a linear function.
The equation for the number of pages left in the book is [tex]b =p- rd[/tex]
The total number of pages is:
[tex]Total = p[/tex]
The daily rate is:
[tex]Rate = r[/tex]
So, the number of pages read in d days is:
[tex]Pages = Rate \times Days[/tex]
This gives
[tex]Pages = r \times d[/tex]
Multiply
[tex]Pages = rd[/tex]
The number of pages left (b) is then calculated as:
[tex]b =Total - Pages[/tex]
So, we have:
[tex]b =p- rd[/tex]
Hence, the equation for the number of pages left in the book is [tex]b =p- rd[/tex]
Read more about linear equations at:
https://brainly.com/question/14323743
multiply: (sqrt10 +2 sqrt8)(sqrt10-2 sqrt8)
Answer:
(√10 +2√8)(√10 -2√8)=
(10 -8√5 + 8√5 -32)
10+0-32
10-32
= -22
Hope this helps.
Answer:
The other person is right, A. -22
Step-by-step explanation:
I’m confuse I need help
Answer:
f(-5) = -5/4
Step-by-step explanation:
Answer:
Answer is -1/20
Step-by-step explanation:
Hope this helps.
3a) What is the side length of the following square?*
Answer:
5.831
Step-by-step explanation:
This is a similar problem to the last 2 you posted.
Start at bottom vertex. Go up 5. Go left 3.
c^2 = a^2 + b^2
c^2 = 5^2 + 3^2
c^2 = 25 + 9
c^2 = 34
c = sqrt(34)
c = 5.831
Vanessa has 40 gallons of water to her new fish pond in her backyard and wants to add more water. Her pond can hold a maximum of 256 gallons. Her garden hose can add 48 gallons of water in 2 minutes.
Answer:
A) 24*m + 40 ≤ 256
B) She could leave the house running for at most 9 minutes
Step-by-step explanation:
The missing questions are:
Part A. Create an inequality to represent the number of minutes, m, Vanessa could run the garden hose to add more water to the pond without adding the maximum amount in case of rain.
Part B. Select all the amounts of time, in minutes, that Vanessa could leave the house running.
A) 48 gallons of water in 2 minutes is the same as 24 gallons per minute. Considering that her pond can hold a maximum of 256 gallons, it already has 40 gallons, and that the flow rate is 24 gallons per minute, the inequality is:
24*m + 40 ≤ 256
B) Solving the previous equation:
24*m ≤ 256 - 40
m ≤ 216/24
m ≤ 9
Help me on this maths please
Answer: √300.89 or 17.3
Step-by-step explanation:
a^2 + b^2 = c^2
6.7^2 + b^2 = 16^2
b^2 = 16^2 - 6.7^2
= 256 - 44.89
b = √211.11 = 14.5
here to this question we have to use Pythagoras theorem that is
[tex] {a}^{2} + {b}^{2} = {hypotnuse}^{2} [/tex]
here,
a=6.7
b=x (cuz' we don't know it's value)
c= hypotenuse =16
now, substitute these values in the above formula then we get,
[tex] {6.7}^{2} + {x}^{2} = {16}^{2} \\ = 14.529[/tex]
as the answer should be given to 1 decimal place we get 14.529
A teacher purchased a 1-foot long sub to share amongst a group of 4 students but decided to eat 1/3 of it. after dividing the rest of the sub into equal parts how much of a sub will each student receive please an answer and a question im confused
Answer:
2 inches
Step-by-step explanation:
Answer:
2 inches each
Step-by-step explanation:
1 foot = 12 inches
1/3 of 12 =4
left over :12 - 4 = 8
8/4 =2
Wyatt has 222 one dollar bills, 222 five dollar bills, and 222 ten dollar bills. How much money does he have in all?
Answer:
$3,552.00
Step-by-step explanation:
First, you need to multiply 222 by 5. You will get 1110. Next, you need to multiply 222 by 10. You will get 2220. Now you take the 222 1 dollar bills and add it to the 1110 dollars, then add the 2220 to that. You will get the final number of 3552.
Here's the equation in what I call "Long Boi Form:"
222x5=1110 222x10=2220 1110+2220+222=3552
Here's the equation in what I call "Short Boi Form:" [Use this only if you
know PEMADAS!!!]
222+(222x5)+(222x10)=3552
Answer:
b
Step-by-step explanation:
PLEASE HELP THIS IS URGENT I AM BEING TIMED!!
Given the following list of data, is 9 the mean, the median, or the mode?
2, 7, 9, 8, 9, 4, 6
Answer:
The mode (number with the highest frequency or number with most appearance)
Answer:
Mode
Step-by-step explanation:
The number that occurs the most is 9.
what is the relationship between angles 6 and 7
Answer: D; vertical angles
Step-by-step explanation: We could conclude thee are vertical angles because of the same measurement of each we could also see that they correspond each other and are therefore similar angles.
Concluding, that the answer would be D; vertical angles
Hope this helps
<3
-Carrie
P.S. It would mean a lot if you marked brainliest
Solve the formula A= 8/2 for r.
Answer:
The steps are :
[tex]A = \pi {r}^{2} [/tex]
[tex] \frac{A}{\pi} = {r}^{2} [/tex]
[tex]r = \sqrt{ \frac{A}{\pi} } [/tex]
Therefore, the answer is B.
Answer: the answer is B.
Can someone help me on these 2 questions?
Answer:
1. y=3
2. z= 27/4 or 6.75
What is the value of x? answers: A) 76° B) Impossible to determine C) 56° D) 62°
Answer:
C) 56 deg
Step-by-step explanation:
The 28-degree angle shown is adjacent to an angle. Let's call that other angle y. y and the 28-deg angle add up to a right angle. That makes these two angles complementary. Their measures add to 90 deg.
28 + y = 90
y = 62 deg
The two marks on the sides of the upper triangle show that they are congruent, making the upper triangle isosceles. The angles opposite the congruent sides of a triangle are congruent. The upper angle on the left side of the upper triangle also measures 62 degrees.
The sum of the measures of the angles of a triangle is 180 deg.
62 + 62 + x = 180
124 + x = 180
x = 56
Answer: C. 56 deg