Answer:
Radius of sphere is 21 cmStep-by-step explanation:
Given:
A sollid piece of iron in the form of a cuboid of dimensions 49cm × 33 cm× 24 cm , is moulded to form a solid sphere.To Find:
Radius of the sphereSolution:
Volume of sphere = Volume of cubiod
↠ 4/3 πr³ = LBH
↠ 4/3 × 22/7 × r³ = 49 × 33 × 24
↠ 4/3 × 22/7 × r³ = 38808
↠ 4 × 22/7 × r³ = 38808/3
↠ r³ = 38808 × 3 × 7/4 × 22
↠ r³ = 441 × 21
↠ r³ = 9261
↠ r = 21 cm
Hence,
Radius of sphere is 21 cmAnswer:
21.00 cm to the nearest hundredth.
Step-by-step explanation:
The volume of the sphere will be equal to the volume of the cuboid.
So 4/3 π r^3 = 49*33*24 where r = radius of the sphere.
r^3 = (49*33*24 ) / 4/3 π
r^3 = 38808 / 4.18879
= 9264.728
r = ∛9264.728
= 21.0028 cm.
Find the transpose of the matrix.
[8 6 1]
[2 -5 8]
[3 1 4]
Answer:
[tex]\left[\begin{array}{ccc}8&2&3\\6&-5&1\\1&8&4\end{array}\right][/tex]
Step-by-step explanation:
To find the transpose all we do is change the rows into the columns and change the columns into rows.
So simply:
[tex]\left[\begin{array}{ccc}8&2&3\\6&-5&1\\1&8&4\end{array}\right][/tex]
Answer:
Flip the elements around, aka, transpose!
[8 2 3]
[6 -5 1]
[1 8 4]
If ABC~ DEF, what is the scale factor of ABC to DEF?
Answer:
that would be 1/2 because its the only one that could reduce the numbers.
Step-by-step explanation:
hope this helps,
kleann
The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
The triangle ΔABC is similar to the triangle ΔDEF. Then the ratio of the corresponding sides will be constant. Then the scale factor is calculated as,
SF = 10 / 20
SF = 1 / 2
The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.
More about the dilation link is given below.
https://brainly.com/question/2856466
#SPJ7
Last year. Samara practiced playing the violin for 26 hours the piano for 35 hours, the flute for 41 hours, and the drums for 18 hours How many days in total did she practice playing her musical instruments? Explain Your answer.
Answer:
5 days
Step-by-step explanation:
26+35+41+ 18 = 120
120/24 = 5
Backyard World buys plastic pools from a supplier with an invoice amount of $17,500. The terms of the sale are 5/10, n/30. If the retailer sends a partial payment of $8,300 on the discount date, what is the net amount still due?
Answer:
I think it $10800
Step-by-step explanation:
I have not read how to sole
Descriptive Measures Instructions: Use the following data set to find the sample statistics for the following data set. (Round answers to the nearest hundredth, if necessary.
{51,48,42,43,48,48,46,15,29,45,47,55,46,35,47,48,54,26,53,42}
Find n
Answer:
(1) N or n = 20
(2) = 43.4
(3) σ = 9.78 and s = 10.04.
Step-by-step explanation:
: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 points)
Part B: Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth. (3 points)
Answer:
A rational number: 5.4, which also can be written as 27/5
Irrational number:
sqroot 28
approx= 5.29
Step-by-step explanation:
5.4 is a rational number because it is a terminating decimal. That means it ends after the 4, there are no more numbers. Also it can be written as a ratio (looks like a fraction) 27/5.
Sqroot28 is irrational. Since 28 is not a perfect square, when you squareroot it you get a number with a neverending decimal
sqroot28 = 5.2915026221...
since the decimal does not repeat or end it cannot be written as a ratio, so it is not rational
sqroot28 ~= 5.29
PLEASE HELP WILL MARK BRAINLIST
If the ratio of the rectangular prisms' volumes is 1:8, what is j?
17. Which quotient will be larger? Explain
how you can tell without dividing.
3,444 : 42
4,368 : 42
Answer:
4,368 / 42
Step-by-step explanation:
I can tell without answering the problems because if you have a larger amount to divide by, it would lead to people having a higher amount. Meanwhile having a smaller amount to divide by.
Annie traveled 2/7 parts of her trip in the first hour, and then 1/8 parts in the second hour. She plans to rest when she has completed half of her trip. Is it time for Annie to rest? If it is not, what part of the trip does Annie still need to travel before she can rest?
Write one hundred ten million in expanded notation using exponents.
Answer:
1.10 x 108.
Step-by-step explanation:
Carly and Carter are comparing bedrooms. They are each getting new carpet and are trying to figure out which room will be the most expensive to cover with carpet. (The rooms are both rectangular) Carly's bedroom is 15.3 ft. long and 8.7 ft. wide. Carter's bedroom is 14.4 ft. long and 9.6 ft. wide. Which bedroom will be the most expensive to cover with carpet? Explain your steps for figuring out the area of the floor for each bedroom and determining your answer. Make sure to Show your math steps as well.
Answer:
Carter's bedroom would cost more to carpet than Carly's because the floor area of the former is about five square feet greater than the floor area of Carly's bedroom.
Step-by-step explanation:
The area of either of these floors is found by multiplying length by width:
A = L*W.
Carly's bedroom is 15.3 ft by 8.7 ft; multiplying, we get A = 133.11 ft^2
Carter's is 14.4 ft by 9.6 ft: A = 138.24 ft^2
Carter's bedroom area (138.24 ft^2) is about 5 ft^2 larger than Carly's and would thus cost more to carpet.
if 0.002 is rewritten as 2 x 10x what is the value of x
Answer:
0.0001
Step-by-step explanation:
2 x 10 x 0.0001 equals 0.0002. If you want confirmation do on a calculator
Answer:
10,000
Step-by-step explanation:
you move the decimal point 3 places to the right to end up with 2 so add as many zeros as many times you moved the decimal point from the 0.002.
The width of a rectangular garden is 9 feet, and its length is 12 feet. Three of these expressions equal the perimeter of the garden, in feet. Which expression does NOT?
Answer:
breadth does it 9 feet
12 feet
People use water to cook, clean, and drink every day. An estimate of 22.8% of the water used each day is for cleaning. If a family uses 68.4 gallons of water a day for cleaning, how many gallons do they use every day?
Answer:
I got 15.6
Step-by-step explanation:
I subtracted 28.8 percent from 68.4 then subtracted that number from 68.4
*HIGHER POINTS* Solve for m<A
Answer:
The answer should be about 114.
Step-by-step explanation:
Of you look at the shape of the other angles. B and D seem to be about 90 and the shape of A is just a little bit bigger than ninety. I started by adding 78, 90, and 90 together which gave me 246. Then I subtracted 246 from 360 which gave me 114. I had estimated the answer to be around 110.
brainliest and 50 points
find the area of the regular polygon.
A) 187.2
B) 887.5
C) 110.4
D) 63
Answer:
A) 187.2
Step-by-step explanation:
Area of a regular polygon = 1/2(apothem × perimeter)
The perimeter of the triangle can me calculated by multiplying the side length by 3 ( because the polygon shown has 3 sides )
Side length = 20.8 , so perimeter = 3 × 20.8 = 62.4
Now we can find the area
Remember area of a regular polygon = 1/2(apothem × perimeter)
Apothem = 6 and perimeter = 62.4
So area = 1/2(6×62.4)
==> multiply 6 and 62.4
area = 1/2(374.4)
==> multiply 374 and 1/2
area = 187.2
Evaluate the expression when a=5 and b=28.b+(30)/(a)
Answer:
34
Step-by-step explanation:
Just substitute in the valuesThis would give 28 + 30/5 = 28 + 6 = 34The inverse of the logarithmic function f(x) = log0.5x is f−1(x) = 0.5x. what values of a, b, and c complete the table for the inverse function?
The value of a for the inverse function is 2, the value of b for the inverse function is 1, and the value of c for the inverse function is 0.25.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The inverse of the logarithmic function [tex]f(x) = \log_{0.5} x[/tex] is [tex]f^{-1}(x) = 0.5^x[/tex]
For x = −1 in the inverse function, then the value of a will be
[tex]f^{-1}(x) = 0.5^{-1}\\\\f^{-1}(x) = 2[/tex]
The value of a is 2.
For x = 0 in the inverse function, then the value of b will be
[tex]f^{-1}(x) = 0.5^{0}\\\\f^{-1}(x) =1[/tex]
The value of b is 1.
For x = 2 in the inverse function, then the value of c will be
[tex]f^{-1}(x) = 0.5^{2}\\\\f^{-1}(x) = 0.25[/tex]
The value of c is 2.
More about the function link is given below.
https://brainly.com/question/5245372
Answer:
a.2
b.1
c.0.25
Second part: Graph B (2nd) one
Step-by-step explanation:
2q^2+5+2q+–3+10+–5q
how do I do this?
Answer:
First you add up all the numbers and then the unknowns.
Step-by-step explanation:
2q^2+12-2q-5q
2q^2+12-3q
2q^2-3q+12
Pls help I don’t know
Answer:
20 units
Step-by-step explanation:
Count the squares
Answer:
20 units
Step-by-step explanation:
Break up the shape into 5 squares. Each square is 4 units. Multiply 5 by 4, which is 20.
what is (1/4)^2x+3=2^5x+4
find the value of x?
Answer:
[tex] x = - \frac{10}{9} [/tex]
Help me with these, just say sometimes, always, or never. Correct answers please and no links. Correct answers get brainly
Answer:
12. sometimes
13. always
14. always
Step-by-step explanation:
Exponential functions with a positive base are defined for all real numbers. Such functions will always have a positive value.
__
12)The larger the base, the faster the decay for x < 0. In that part of the domain, 2^x > 10^x. (sometimes)
__
13)See the initial comment. (always)
__
14)See the initial comment. (always)
Raquel has 4 brownies. She wants to give an equal share to each of her friends. How would Raquel share these brownies equally among herself and 5 friends? What is the estimate equation????????
please tell me the estimatie and eqaution asap!!!!
Answer:
4/5
Step-by-step explanation:
divide brownies by friends
Help me fast please 50 POINTS giving 50 points and brainliest its only 5 questions
Answer:
2x^2+1=5-2x
2x^2+1-5+2x
2x^2-4+2x=0
x^2-2+x=0
x^2+x-2=0
(x+2)(x-1)
x1= -2
x2= 1
Answer:
[tex]2x^2+1=5-2x2x^2+1-5+2x2x^2-4+2x=0x^2-2+x=0x^2+x-2=0(x+2)(x-1)x1= -2x2= 1[/tex]
Step-by-step explanation:
I hope this helps and have a good day!
4
Required
Mr. Sanchez's class sold fruit pies for $1.73 each and Mr. Kelly's class sold bottles of fruit juice for $1.44 each.
Together, the classes sold 83 items and earned $130.83 for their school. Write and solve a system of equations
that models this prolem. Show all your work!
The system of equations of the number of bottles in both classes has two distinct equations
Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles
How to solve the system of equations?
The given parameters are:
Mr. Sanchez = $1.73
Mr. Kelly = $1.44
Represent the number of bottles in both classes with x and y,
So, we have the following equations
1.73x + 1.44y = 130.83
x + y = 83
Next, we plot the graphs of the equations
From the graph (see attachment), we have:
(x,y) = (39,44)
Hence, Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles
Read more about system of equations at:
https://brainly.com/question/14323743
Kenny has $500 in an account. The interest rate is 5% compounded annually.
To the nearest cent, how much interest will he earn in 1 year?
Answer:
$525
Step-by-step explanation:
new value = starting value(1 + rate)^years
new value = 500(1 + .05)^1
new value = 500(1.05)
new value = $525
Answer:
25
Step-by-step explanation: Im not sure how to do it thats just what IXL says
define the volume of 30 cm 24 cm 52 cm
Answer:
37,440
Step-by-step explanation:
To find volume the formula is : Length x Width x Height... So 30 x 24 x 52 = 37, 440
:D
Expand and simplify (2x−12)^2. Is this a special product?
Answer:
Step-by-step explanation:
(2x−12)^2 can be factored into 2^2*(x - 6)^2, which in turn becomes
4(x^2 - 12x + 36). Yes, this is a special product of the form
(a - b)^2 = a^2 - 2ab + b^2.
What is the slope of the line that passes through (9,3) and (2,1)
Answer:
2/7
Step-by-step explanation:
[tex]slope = \frac{1 - 3}{2 - 9} \\ = \frac{ - 2}{ - 7} \\ = \frac{2}{7} [/tex]
Estimate
10
12
−
3
8
using benchmark values. Your equation must show the estimate for each fraction and for the solution.
Answer:
Step-by-step explanation:
Pls give brainlest if right.
10/20-3/6 ?
