We will see that the cube must be 10.23 inches tall.
How tall is the cube?
The volume of the cube must be equal to the volume of the 4 spheres. Remember that the volume of a sphere of radius R is:
V = (4/3)*3.14*R^3
In this case, the radius is 4 inches, so we can write:
V = (4/3)*3.14*(4 in)^3 = 267.95 in^3
Then the volume of the 4 spheres is:
4*267.95 in^3 = 1,071.79 in^3
The volume of a cube of side length S is given by:
V = S^3
Then we must have:
S^3 = 1,071.79 in^3
S = ∛(1,071.79 in^3) = 10.23 in
We conclude that the cube is 10.23 inches tall.
If you want to learn more about spheres, you can read:
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Q 06. Payson is thrice as fast as Amen at completing a task. They both pick up a task together, and complete it in 5 days. How many days will Amen take to do it alone? Ops: A. O 10 days B. O 20 days C. O 25 days D. O 15 days
Fraction are ratio of two integers. It will take Amen 20 days to do the task alone
Proporions and fractionsFrom the given question, we have the following information
Let the number of days Amen can take to complete a task be x
If Payson is thrice as fast as Amen at completing a task, then the number of das Payson takes will be 3x
If they both pick up a task together, and complete it in 5 days, then;
1/x + 1/3x = 1/5
Find the LCM
3+1/3x = 1/5
4/3x = 1/5
Cross multiply
3x = 20
Determine the time taken by Amen:
x =20/3
This shows that it will take Amen 20 days to do the task alone
Learn more on proportions here: https://brainly.com/question/19994681
Simplify the expression 4(2f−5g) + 6g.
Answer:
8f-14g is the answer
Step-by-step explanation:
I need tho know the answer to 9/10 divided by 6/1
Answer: 3/20
Step-by-step explanation:
Inital Equation:
[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{6}{1}[/tex]
Find the Recipricol of 6/1:
It's: 1/6
Multiply the Recipricol of 6/1 (1/6) by 9/10
9/10 x 1/6 = 9/60
Simplify
9/60 = 3/20
Answer: 3/20
=
An apple costs twice as much as a banana.
Using the equations 2a + 4b = 2.00 and
a=2b, where a is the cost of one apple
and b is the cost of one banana, what are
a and b?
zat 45:28
=
A a= $0.25; b = $0.25
(B) a= $0.25; b = $0.50
C a= $0.50; b = $0.25
=
D a= $0.50; b = $0.50
10. Which statement is false?
Answer:
C is true
Step-by-step explanation:
The only true answer is C.
If a is 2 times greater than b, then:
A. is not possible because both sides are equal
B. is not possible because b is 2 times greater
D. is not possible because both sides are equal
The winners of a carnival game draw a ticket from a box to determine their prize. Each winner draws a ticket and places it back into the box before the next draw. Every winner has a 33% chance of getting cotton candy, a 46% chance of getting a shirt, and a 21% chance of getting a key chain.
The game operator wants to simulate what could happen for the next ten winners. So for each winner he generates a random whole number from 1 to 100. The range of values that the game operator can use to represent a winner is 1 to 3. What is the percentage of winners who got a shirt
Answer:
He generates a random whole number from 1 to 3.
Step-by-step explanation:
Each winner has 3 possibilities, gets cotton candy, gets a shirt, or gets a keychain. We can asign each of this possibiltiies a number, 1 for cotton candy, 2 for the shirt and 3 for a keychain. So, for a simulation, its enough to take one of this whole numbers for each winner.
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
in²
The figure contains a triangle. One side is 13 inches. A second side is 7.5 inches. The angle between the given sides is 94 degrees.
Answer:
Area = 48.6 in²
Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between the two sides)
This rule is illustrated in the attached image.
Now, we have:
first side = 13 in
second side = 7.5 in
The angle included between the two sides = 94 degrees
The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5 * 13 * 7.5 * sin(94)
Area of triangle = 48.63 which is approximately 48.6 in²
Hope this helps :)
Which of the following represents a set of irrational numbers?
A: {√3, √16, √21, √25}
B: {3.1, 1.234..., √36, π}
C: {12π/4, √2/4, 1.121214…, √5 }
D {23.1, 1.234, √36, 4π }
Answer:
C
Step-by-step explanation:
[tex]\text{All other options contain rational numbers, such as} ~\sqrt{36} , \sqrt{25}, \sqrt{16}[/tex]
Round to the nearest thousandth, then subtract: 2.87349 1.54324
Answer:
1.33
Step-by-step explanation:
2.87349 rounded to the nearest thousandth is 2.873 because the number next to it (4) is less than 5.
1.54324 rounded to the nearest thousandth is 1.54324 is 1.543 because the number next to it (2) is less than 5.
Then you do 2.873 - 1.543 and that = 1.33. So 1.33 is your final answer :)
Law of Cosines
HELP!!!!!
Answer:
[tex]\displaystyle 21 \approx c[/tex]
Explanation:
Solving for Angles
[tex]\displaystyle \frac{a^2 + b^2 - c^2}{2ab} = cos\angle{C} \\ \frac{a^2 - b^2 + c^2}{2ac} = cos\angle{B} \\ \frac{-a^2 + b^2 + c^2}{2bc} = cos\angle{A}[/tex]
Do not forget to use [tex]\displaystyle arccos[/tex] or [tex]\displaystyle cos^{-1}[/tex]towards the end, or the result will be thrown off.
Solving for Edges
[tex]\displaystyle b^2 + a^2 - 2ba\:cos\angle{C} = c^2 \\ c^2 + a^2 - 2ca\:cos\angle{B} = b^2 \\ c^2 + b^2 - 2cb\:cos\angle{A} = a^2[/tex]
Take the square root of the result in the end, or you will throw yourself off.
Well, let us get to work:
[tex]\displaystyle 13^2 + 29^2 - 2[13][29]cos\:41 = c^2 \\ 169 + 841 - 754cos\:41 = c^2 \\ 1010 - 754cos\:41 = c^2 \\ \\ \sqrt{440,94897651...} = \sqrt{c^2} \\ 20,99878512... = c \\ \\ \boxed{21 \approx c}[/tex]
I am joyous to assist you at any time.
Pls pls pls pls help po
Answer:
1. you will multiply base times height:
16m * 12m = 192 sq m
2. same steps but just multiply it by two because its "twice as long"
18 cm * 6 cm = 108 * 2= 216
3. now for this one sice we are finding the base we will have to divide the 432 by 18 = 24
4. same steps like in question 1:
12 * 5 = 60
5. same steps like in question 1:
7 * 10 = 70
Step-by-step explanation:
hope this helps and have a great day!! :)
What is the constant of proportionality shown in the
table?
Answer:
0.5
Step-by-step explanation:
An equation is written as :
y = kxk is the constant of proportionalityTaking the first row data (x = 2, y = 1),
y = kx1 = 2kk = 1/2k = 0.5Answer:
Option A, 0.5
Step-by-step explanation:
Step 1: Determine the slope/proportionality
[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]Slope = \frac{1.5-1}{3-2}[/tex]
[tex]Slope = \frac{0.5}{1}[/tex]
[tex]Slope =0.5[/tex]
Answer: Option A, 0.5
Handsome Jack is buying a pony made of Diamonds
Answer:
so what should we do?!?!?!?!¡!?!
The vertices of a rectangle are located at (2, 5), (4, 3), (-2, -3) and (-4, -1).
What is the approximate perimeter of the rectangle?
Answer:
8
Step-by-step explanation:
P=2(l+w)=2·(1+3)=8 The length was 1 and the width was 3.
Which of these is equal to sin 58°?
Answer:
C Cos32
Step-by-step explanation:
How would I solve I need to know Asap and what is the answer
Answer:
A) 5
Step-by-step explanation:
distance = √(distance between x coordinates² + distance between y coordinates²)
the horizontal distance between the two points is 4
the vertical distance between the two points is 3
to prove this, if you started at Q and went 4 points right and then 3 points up, you would get to P
distance = √(4²+3²) = √25 = 5
Describe a data set that has the same mean, median, and mode.
I not really understanding this question could somebody help
Answer: Okay, so you probably already know this but,
The mean - is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set.
Add up all of the numbers and divide by the number of numbers in the data set. The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number.
The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
Step-by-step explanation:
In a perfectly symmetrical distribution, the mean and the median are the same. This example has one mode (unimodal), and the mode is the same as the mean and median. In a symmetrical distribution that has two modes (bimodal), the two modes would be different from the mean and median.
hope this helps you!!
Answer:
One of the many examples is {0, 0, 0, 0, 0}
Step-by-step explanation:
The mean is the average of a data set.
The median is the number in the middle (or between the 2 middle numbers) of a data set that is placed from least to greatest.
The mode is the value that shows up the most times in the data set.
A few examples of a set with the same mean, median, and mode could be any number repeated in a data set:
{0, 0, 0, 0, 0}
This would work because the mean is 0, the median is 0, and the mode is 0.
The width of a golden rectangle is 15 feet. Find the perimeter of the rectangle to the nearest foot
39 feet
64 feet
79 feet
72 feet
96 feet
In a golden rectangle, the sides of the rectangle are as per the golden ratio. The perimeter of the golden rectangle with a width of 15 feet is 79 feet.
What is a golden rectangle?In a golden rectangle, the sides of the rectangle are as per the golden ratio. The rectangle is given the name rectangle because of the fact that the ratio is the golden number 1.618.
In a golden rectangle, the sides of the rectangle are as per the golden ratio. Since the width of the rectangle is 15 feet, therefore, the length of the rectangle will be 1.618 times the width,
Length of the rectangle = 1.618 × 15 feet = 24.27 feet
Now, the perimeter of the rectangle can be written as,
[tex]\rm \text{Perimeter of the rectangle} = 2(Length+ Width) \\\\\text{Perimeter of the rectangle} = 2(24.27+15)\\\\\text{Perimeter of the rectangle} = 78.54 \approx 79\ feet[/tex]
Hence, the perimeter of the golden rectangle with a width of 15 feet is 79 feet.
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After learning so much about how art and culture are connected, it is time to explore different cultural pieces of art.
I WILL GIVE BRAINLIST
For this activity, you will search online and find a piece of art from four different cultures. You will need to copy or screenshot the four pieces of art that you decide on, and insert them into your written assignment.
You may choose any type of art from any culture that you like, but please keep in mind the appropriateness of your choices.
One you have selected your four pieces of art, you will answer several questions about each one and briefly discuss the piece.
Questions and points to discuss for each piece of art:
What culture is your piece of art from?
Why did you choose this piece?
What does this piece tell you about the culture?
Think daily life, food, celebrations and rituals, nature, and overall lifestyle.
How is this piece of art different from the rest of your choices?
Answer:
What culture is your piece of art from?
Italian Renaissance
Why did you choose this piece?
Beacuse its a beautiful piece of artwork made by one of my favorite artist.
Step-by-step explanation:
Evaluate without using a mathematical table
1000(√0.0128÷200)
Answer:
0.5656854249
Step-by-step explanation:
1000(0.0128/200)
1000(0.11314/200)
1000(0.0005656854)
=0.5656854249
Beth currently brings in an annual salary of $37,000 and anticipates a raise of 5% every year. What will her salary be in 14 years? If necessary, round your answer to the nearest cent.
Beth salary in 14 years would be $62900.
What is the simple interest?Simple interest is the borrowing amount added only to the principal amount.
Given, Beth currently brings in an annual salary of $37,000 and anticipates a raise of 5% every year.
To find the interest rate:
The formula to calculate the simple interest is;
S.I. = P x T x R / 100 ,
Where S.I. is simple interest , P is principal amount, T is time period and R is interest rate in a year.
And according to the question,
P = 37000, T = 14 years and R = 5%
Substituting all the values to the formula,
S.I. = P x T x R / 100
S.I. = 37000 x 14 x 5 / 100
= 25900
Beth final salary = principal amount + interest rate
= 37000 + 25900
= 62900
Therefore, Beth salary after 14 years is $62900.
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9876x 96- 703
WILL MARK BRAINLEST
Answer:
947393
Step-by-step explanation:
In the accompanying diagram, angle ACD is an exterior angle of triangle ABC, angle A =3x, angle ACD is =5x, and angle B=50. What is the value of x ?
The value of x in the triangle ABC is 25.
How to find angles in a triangle?The interior angles of the triangle are given as m∠A = 3x and m∠B = 50°.
The exterior angle of the triangle is given as m∠ACD = 5x.
The sum of angle in a triangle is equals to 180 degrees. Therefore,
3x + 50 + (180 - 5x) = 180
3x + 50 - 5x + 180 = 180
3x - 5x + 50 + 180 = 180
-2x + 230 = 180
subtract 230 from both sides
-2x + 230 - 230 = 180 - 230
-2x = -50
divide both sidesby -2
-2x / -2 = -50 / -2
x = 25
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9) Center: (-2,9) Point on Circle: (-5, 18)
Answer:
[tex](x+2)^2+(y-9)^2=[/tex] 90
Step-by-step explanation:
The centre is (-2,9) so the first part of the equation will be (x+2)^2 + (y-9)^2 and to get the second half, you know the point on the circle which you can use to find the radius. So the triangle formed would be 3 long, 9 high and using Pythagoras you can do:
[tex]3^2+9^2=r^2[/tex]
9+81= [tex]r^2\\[/tex]
90 = [tex]r^2[/tex]
and this equation ends with r^2 so you can substitute that back into the equation so together it will be
[tex](x+2)^2+(y-9)^2=[/tex] 90
The height of the rectangle and the triangle are the same. The base of the triangle is half the base of the rectangle.
What is the area of the composite figure?
A. 225
B. 300
C. 375
D. 450
Step by step explanation: The last answer i wrote was wrong, so i retook the quiz and got 100% and this was right.
Answer:
.C ,375
I HOPE THIS helps i just know i got connect shons
Please help on math.
Answer:
255cm²
Explanation:
To find the area of the triangle we must us a formula which is base x height ÷ 2 divide. So on the left side it is 17 cm and on the right without the triangle it is 10 so the triangle is 7cm tall. Next on the bottom without the triangle it is 22 and with it is 12 so the base is 10 now we multiply them which will be 70 then divide it by 2 which is 35cm².
And dont forget the squared!!
3/5 = 24/40 =?/60. what comes at the question mark?
Answer:
? = 36
Step-by-step explanation:
Knowing that 3/5 and 24/40 is equal
Therefore we can either use:
3/5 = ?/60 or 24/40 = ?/60
I will use 3/5 = ?/60
Let ? = x
Hence we have
3/5 = x/60
Multiply both sides by 10
6 = x/6
Multiply both sides by 6
x = 36
Therefore, the question mark = 36
Let's check the answer by Simplifying the fraction:
3/5 = 36/60
3/5 is in already simplify
36/60 simplify = 3/5
3/5 = 3/5
Thus, the question mark = 36
[RevyBreeze]
Step-by-step Solution:
Let the "?" be known as "x".
Given equation:
3/5 = 24/40 = x/60
Therefore, we obtain the following equations:
Equation 1: 3/5 = 24/40Equation 2: 3/5 = x/60Equation 3: 24/40 = x/60Clearly, the second and the third equation have the "x" variable included. Therefore, we will only focus on the second and third equations.
3/5 = x/6024/40 = x/60Note: We can choose any equation to solve for x. The value of x in both equations will be the same as 3/5 = 24/40.
Determining the "x" variable in Equation 2:
⇒ 3/5 = x/60⇒ 5x = 60 × 3 [Cross multiplication]⇒ 5x = 180 [Simplifying]⇒ 5x/5 = 180/5 [Dividing]⇒ x = 36 [Simplifying]Determining the "x" variable in Equation 3:
⇒ 24/40 = x/60⇒ 40x = 24 × 60 [Cross multiplication]⇒ 40x = 1440 [Simplifying]⇒ 40x/40 = 1440/40 [Dividing]⇒ x = 36 [Simplifying]Therefore, the value of "?" is 36.
how to find the missing angle when given two sides of a right triangle?
Answer:
Step 1 The two sides we know are Opposite (300) and Adjacent (400).
Step 2 SOHCAHTOA tells us we must use Tangent.
Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.
Step 4 Find the angle from your calculator using tan-1
I need help pls I need to get to 80%
Answer:
False (no)
Step-by-step explanation:
A polygon needs at least three straight sides and angles
I have NO IDEA how to do! Please help with this one!!!! 50 pts
[tex]\displaystyle \int \dfrac{dx}{5x^2 -10x +15}\\\\\\=\displaystyle \int \dfrac{dx}{5(x^2-2x+3)}\\\\\\=\dfrac 1 5 \displaystyle \int \dfrac{dx}{x^2-2x+3}\\\\\\=\dfrac 15 \displaystyle \int \dfrac{dx}{x^2 -2x +1^2 -1 +3}\\\\\\=\dfrac 15 \displaystyle \int \dfrac{dx}{(x-1)^2+2}\\\\\\=\dfrac 15 \displaystyle \int \dfrac{du}{u^2 +\left(\sqrt 2 \right)^2}~~~~~~~~~;[x-1 =u \implies dx = du]\\\\\\\\[/tex]
[tex]=\dfrac 1 {5\sqrt 2} \tan^{-1} \left( \dfrac u{\sqrt 2}\right)+C~~~~~~;\left[\displaystyle \int \dfrac{dx}{a^2 +x^2} = \dfrac 1a \tan^{-1} \left( \dfrac xa \right) +C\right]\\\\\\=\dfrac{1}{5\sqrt 2} \tan^{-1} \left( \dfrac{x-1}{\sqrt 2}\right)+C[/tex]
Use the formula, I = PRT, to find the time if | = $387.50, P = $1,550, and R = 12.5%
Answer:
T = 2
Step-by-step explanation:
Take the given formulaer
I = PRT
And plug in the variables you know (I, P, R)
387.50 = 1,550(.125)T
(12.5% becomes .125 after you divide it by 100, because precents are really just fractions out of 100)
387.50 = 193.75T
T = 2