Answer:
height = 4cm
Step-by-step explanation:
volume = п r² h
п = 3.14 (aprox.)
r = radius
h = height
volume = 616cm³
then:
616 = 3.14 * 7² * h
616 = 3.14*49*h
616 = 153,86 * h
h = 616 / 153.86
h = 4
height = 4cm
Answer:
Your answer is
Step-by-step explanation:
If u multiply 616cm^3 multipied by 7 cm gives you the correct answer because volume multiplied by radius=height of that particular object.Hope this helps....
Have a nice day!!!!
*PLEASE ANSWER TY* What is the volume of a hemisphere-shaped coffee if the width of the coffee cup is about 16.51 centimeters? (Use 3.14)
Answer:
Option (1)
Step-by-step explanation:
By the property of the liquids,
"Liquids have a fixed volume but don't have the fixed shape. If we put a liquid in a bottle or a cup it will acquire the shape of a bottle or cup."
In our question, coffee when kept in a cup will take the shape of the cup which is a hemisphere.
Volume of a hemisphere = [tex]\frac{2}{3}\pi r^{3}[/tex]
Where 'r' = radius of the hemisphere
Radius of the cup = [tex]\frac{16.51}{2}[/tex] cm
Volume of the hemisphere = [tex]\frac{2}{3}\pi (\frac{16.51}{2} )^{3}[/tex]
= [tex]\frac{2}{3}\pi (8.255)^3[/tex]
= 1177.5778
≈ 1177.58 cm³
Therefore, Option (1) will be the answer.
Find the distance across the lake. Assume the triangles are similar.
80 m
х
у
20 m
60 m
Answer:
A. L = 240 m
Step-by-step explanation:
use similar triangle
L / 60 = 80 / 20
L = (80 * 60) / 20
L = 240 m
The required distance across the lake is 240 m. Hence correct option is A.
Similar triangles, are those triangles which have similar properties i.e. angles and proportionality of sides.
Since, triangles are similar.
The ratio of their sides are also equal
60/20= L/80
L=80 x 3
L = 240 m
Thus, the required distance across the lake is 240 m.
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Is 4.05 repeating equivalent to 405/99
Answer:
No
Step-by-step explanation:
405 repeating is
405/999
not 405/99
405/99=4.090909090909....
4.05 repeating is not equivalent to 405/99.
What is the arithmetic operator?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities.
The division is to divide two numbers by each other example 2/4.
The division is a very common phenomenon in mathematics so we need to divide two numbers or expressions.
Subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
The most common mathematical operation is multiplication, which involves adding two or more integers to get a new multiplied number.
Given,
405/99
If we divide 405 by 99 then it will go 4 times and leave the remainder as 9.
Further, we make a decimal and again divide it will go 090909091 so it means it is repeating 09 four times.
Hence, 4.05 repeating is not equivalent to 405/99.
To learn more about the arithmetic operator
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The lines on a 2-cup liquid measuring cup divide each cup into eighths. If you measure 1 3/4 cups of water, between which two quantities can you be certain that your exact measurement will be?
Answer:
1 3/4 cups is between the 13th and 15th lines from the bottom.
Step-by-step explanation:
The bottom of the cup has no line and corresponds to 0 eights.
1st line up: 1/8 cup
2nd line up: 2/8 cup this is also called 1/4 cup
3rd line up: 3/8 cup
4th line up: 4/8 cup this is also called 1/2 cup
5th line up: 5/8 cup
6th line up: 6/8 cup this is also called 3/4 cup
7th line up: 7/8 cup
8th line up: 8/8 cup this is also called 1 cup
9th line up: 9/8 cup
10th line up: 10/8 cup this is also called 1 1/4 cup
11th line up: 1 3/8 cup
12th line up: 1 4/8 cup this is also called 1 1/2 cup
13th line up: 1 5/8 cup
14th line up: 1 6/8 cup this is also called 1 3/4 cup
15th line up: 1 7/8 cup
16th line up: 1 8/8 cup this is also called 2 cups
1 3/4 cups is between the 13th and 15th lines from the bottom.
Three people are standing on a Cartesian coordinate plane. Robert is standing at point $(4,3)$, Lucy at point $(6,1)$, and Liz at point $(1,7)$. How many units away is the farther person from Robert?
Answer: Liz, she is 5 units away from Robbert.
Step-by-step explanation:
Ok, the data that we have is:
Robert is at (4,3 )
Lucy is at (6, 1)
Liz is at (1, 7)
We want to find the units between Robert and the person that is farther away from him.
The distance between Robert and Lucy can be calculated as:
First we calculate the difference in the point or in the position vector:
(4, 3) - (6, 1) = (4 - 6, 3 - 1) = (-2, 2)
To calculate the exact distance, we need to calculate the magnitude of this point, this is:
For a point (x, y), the magnitude is M = √(x^2 + y^2)
Then we have:
D = √( (-2)^2 + 2^2) = √8
Now, the distance between Robert and Liz can be calculated in the same way:
(4, 3) - (1, 7) = (4 - 1, 3 - 7) = (3, -4)
The magnitude is:
D = √(3^2 + (-4)^2) = √(9 + 16) = √25 = 5
Now, we know that 5 > √8
Then the person that is farthest away from Robert is Liz, and she is 5 units away.
PLEASE help me with this question!!! REALLY URGENT!
Answer:
The third table is the correct answer
Step-by-step explanation:
Here in this question, we are concerned with determine which of the tables correctly represents what an exponential function is.
An exponential function is a function of the form;
y = x^n
where the independent variable x in this case is raised to a certain exponent so as to give the results on the dependent variable axis (y-axis)
In the table, we can see that we have 2 segments, one that contains digits 1,2 and so on while the other contains purely the powers of 10.
Now, let’s set up an exponential outlook;
y = 10^x
So we have;
1 = 10^0
10 = 10^1
1/10 = 10^-1
1000 = 10^3
1/100 = 10^-2
We can clearly see here that we have an increase in the value of y, depending on the value of the exponent.
However it is only this table that responds to this successive correctness as the other tables in the answer do have a point where they fail.
For example;
10^-2 is not 10 which makes the fourth table wrong
10^4 is not 100 which makes the first table wrong
we have same error on second table too
If two 2x2 matrices are inverses of each other, then multiplying them will result in what matrix below?
inverse of a matrix A is defined as [tex] AA^{-1}=I[/tex]
where I is the identity matrix of the respective order.
solve the following: - 3 raised to 1 by 5 the whole raised to 4 (3^1/5)^4
Answer:
8.30256
Step-by-step explanation:
Step 1: Write out expression
[tex]((-3)^{\frac{1}{5} })^{4(3^{\frac{1}{5} })^4[/tex]
Step 2: Use BPEMDAS to evaluate
[tex](-1.24573)^{4(3^{\frac{1}{5} })^4[/tex]
[tex](-1.24573)^{4(1.24573)^4[/tex]
[tex](-1.24573)^{4(2.40822)[/tex]
[tex](-1.24573)^{9.6329}[/tex]
= 8.30256
And we have our answer!
2. Calculate the amount of gallons needed to fill the pool shown below. (3 points)
Answer:
52,322 gal
Step-by-step explanation:
will make it simple and short.
vol = ( a + b ) * h/2 times the depth
vol = (10 + 4) x (40/2) x 30 = 8400 cu. ft. ---------->>> then convert to gal.
6.2288 gal
vol = 8400cu.ft. x ----------------- = 52,322 gal
1 cu.ft.
if 13 minute video played for 6 minutes what is the amount of percent played
Answer: 46.15%
Step-by-step explanation:
From the question, we are informed that a 13 minute video played for 6 minutes. The amount of percent played will be:
= 6/13 × 100
= 0.4615 × 100
= 46.15%
Which expression represents the number 12.3 rewritten in a+bi form?
12.3+0i
1+12.3i
12.3+i
0+12.3i
Answer:
The correct option is;
12.3 + 0i
Step-by-step explanation:
The form a + b·i is the complex number form where the variables a and b are real numbers and i is the square root of -1, √(-1) that is i² = -1. As the answer to √(-1), cannot be found among the real numbers, i, is known as an imaginary number.
As such a given complex number of the form a + b·i, has a real, part or component, a, and an imaginary part, b.
The number 12.3, is a real number, therefore, representing the number in a complex number format, the imaginary part, b, would be zero, as follows;
12.3 + 0·i
PLS HELP I WILL MARK BRAINLIST AND GIVE YOU A THANK YOU
Answer:
C
Step-by-step explanation:
Since the marked angles are vertical angles, they are congruent, meaning that they have the same angle measure. Therefore, the answer is 10x = 150.
Solve for X answer asap thanks
Answer:
Step-by-step explanation:
The formula we need for this is
4(4 + x) = 5(5 + 3) and
16 + 4x = 5(8) and
16 + 4x = 40 and
4x = 24 so
x = 6, choice C.
Just need to calculate the area of the shaded region, thanks
Answer:
Area of the shaded region= 82.2 cm²
Step-by-step explanation:
Please see attached picture for full solution.
I need help on this During the spring, Nina Milling assembles bicycles at The Wheeler Dealer. She is paid $12.00 for each bicycle assembled during a regular work week, $14.00 for each bicycle assembled on a Saturday, and $16.00 for each bicycle assembled on a Sunday. What is her total pay for a week in which she assembled the following number of bicycles? Mon. Tues. Wed. Thurs. Fri. Sat. Sun. 4 7 6 10 8 4 5
Answer:
$556
Step-by-step explanation:
4+7+6+10+8=35
35x12=420
4x14=56
5x16=80
420+56+80=556
Answer:
$556.
Step-by-step explanation:
So she is paid $12 dollars for every bicycle assembled on a weekday,
paid $14 dollars for every bicycle assembled on Saturday, and is
paid $16 dollars for every bicycle assembled on Sunday.
She assembled 4 on Monday, 7 on Tuesday, 6 on Wednesday, 10 on Thursday, 8 on Friday, 4 on Saturday, and 5 on Sunday.
In other words, she assembled on total of 4+7+6+10+8=35 bicycles during the weekdays. And she assembled 4 on Saturday and 5 on Sunday.
In other words, her total pay is:
[tex]\$12(35)+\$14(4)+\$16(5)=\$556[/tex]
Look at each pattern.
Identify the rule for each pattern.
Pattern A: 0, 3, 6, 9, 12, 15, 18,...
Pattern B: 0, 12, 24, 36, 48, 60, 72, ...
Answer:
pattern A is going by 3
pattern B is going by 12
Step-by-step explanation:
so you basically just have to add 3 for pattern a and add 12 for pattern B for each number
solving polynomial(2x+8)(-3y-8)
Answer:
-6xy - 16x -24y -64
Step-by-step explanation:
(2x+8)(-3y-8) =
To find the answer,
First multiply, the first number on both sides,
2x * -3y = -6xy
Then the first number on the left side and the second number on the right side,
2x * -8 = -16x
Then the second number on the left side and the first number on the right side,
8 * -3y = -24y
Then the second number on the left side and the second number on the right side,
8 * -8 = -64
Now add all the answers,
-6xy -16x -24y -64
Answer:
-6xy-16x-24y-64
Step-by-step explanation:
(2x+8)(-3y-8)
Foil
First 2x*-3y = -6xy
outer -8*2x = -16x
inner -3y *8 = -24y
last -8*8 = -64
Add them together
-6xy-16x-24y-64
You make a pattern bydrawing three similar rectangles. The widthof the smallest rectangle is45of the width ofthe medium-sized rectangle. The width ofthe medium-sized rectangle is45of thewidth of the largest rectangle. The largestrectangle is 12 inches long and 8 incheswide. Find the dimensions of the smallestrectangle. Explain your reasoning.
Answer:
5.12 in. by 7.68 in.
Step-by-step explanation:
In similar triangles, the ratios of the lengths of corresponding sides are equal.
width of medium triangle = 4/5 width of large triangle
width of medium triangle = 4/5(8 in.) = 6.4 in.
length of medium triangle = 4/5 length of large triangle
length of medium triangle = 4/5(12 in.) = 9.6 in.
width of small triangle = 4/5 width of medium triangle
width of small triangle = 4/5(6.4 in.) = 5.12 in.
length of small triangle = 4/5 length of medium triangle
length of small triangle = 4/5(9.6 in.) = 7.68 in.
Pens cost 15 pence each. Rulers cost 20 pence each. Write down an expression for the cost of x pens and x rulers.
Answer:
C = 35x pence
Step-by-step explanation:
1 pen costs 15 , thus x will cost 15x
1 ruler costs 20, thus x will cost 20x
Total cost (C) will then be
C = 15x + 20x = 35x pence
The total cost of pens and rulers, C = 35x pence
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Cost 1 pens is 15.
Then, cost for x pen is 15x
Cost of 1 ruler is 20
Then, cost of x ruler is 20x
So, the total cost is
= 15x + 20x
= 35x
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The projected worth (in millions of dollars) of a large company is modeled by the equation w = 206(1.1) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2011? A. 10%; $534.31 million B. 11%; $646.52 million C. 10%; $587.74 million D. 11%; $226.60 million
Answer:
Hey There!! The Correct answer is: The equation is w = 241(1.06)t
And here variable t represents the number of years since 2000.
In 2001 means t=2001 -2000 = 1
So we plug 1 for t in the given expression , that is w = 241(1.06)1 = 241 * 1.06 = 255.46
Therefore in 2001, it should be worth to 255.46.
And in the given expression 1.06=1 +0.06, where 0.06 is the annual percent of growth that is 6 % .
Hope It Helped!~ ♡
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The projected annual percent of growth is 10% and the company worth in 2011 will be $587.74 millions. Then the correct option is C.
What is an exponent?Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.
The projected worth (in millions of dollars) of a large company is modeled by the equation is given as,
[tex]\rm w = 206\times (1.10)^t\\\\w = 206\times (1+0.10)^t[/tex]
Then the projected annual percent of growth is 10%.
The variable t represents the number of years since 2000.
Then the company worth in 2011 will be
w = 206 × 1.1¹¹
w = $587.74 millions
The projected annual percent of growth is 10% and the company worth in 2011 will be $587.74 millions.
Then the correct option is C.
More about the exponent link is given below.
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*Do the equations have solutions? x2=x
Answer:
x = 1
Step-by-step explanation:
x² = x
x² / x = 1
x = 1
Check:
1² = 1
What are the conditions of floatation in a liquid?
Answer:
The conditions for a substance to float on liquid are given below:
When a substance displaces the liquid equal to its own weight.When the upthrust given by a liquid is more than the weight of a substance.
[tex] \mathrm{Hope \: I \: helped!}[/tex]
[tex] \mathrm{Best \: regards!}[/tex]
Linda and Juan went shopping. Linda spent $16 less than Juan. If we let w represent how much Juan spent, write an algebraic expression for how much Linda spent. Example for answer: 3x^2+1, x/5, (a+b)/c
Answer:
Step-by-step explanation:
Money spent by Juan = $ w
Linda spent $16 less than Juan. So, we have to subtract 16 from the money spent by Juan
Money spent by Linda = w - 16
describe importance of public participant
Answer:
the main aim of public participant is to encourage the public to have a meaningful input into the decision making process.
find all the missing elements. A=109 C=13 b=6 B=? a=? c=?
Answer:
B = 58°a = 6.6896c = 1.5915Step-by-step explanation:
Given two angles and the side between them, the first step must be to find the value of the third angle, the one opposite the given side. It will be ...
B = 180° -A -C = 180° -109° -13° = 58°
Using this information and the Law of Sines, you can find the remaining sides.
a/sin(A) = b/sin(B) = c/sin(C)
__
Then the missing sides are ...
a = b(sin(A)/sin(B)) = 6(sin(109°)/sin(58°)) ≈ 6.6896
c = b(sin(C)/sin(B)) = 6(sin(13°)/sin(58°)) ≈ 1.5915
The missing measures are ...
B = 58°
a = 6.6896
c = 1.5915
Answer: make sure to round !!B = 58°
a = 6.7
c = 1.6
Step-by-step explanation:
2c+17.6 =6 SOLVE --------------- 4 give your answer as a decimal get brainly
Answer:
[tex]\huge\boxed{x = -5.8}[/tex]
Step-by-step explanation:
2x + 17.6 = 6
Subtracting both sides by 17.6
2x = 6 - 17.6
2x = -11.6
Dividing both sides by 2
x = -11.6 / 2
x = -5.8
A student scored in the 60th percentile on her math exam. What does this student's score mean in relation to those of the other test takers? (4 points) a Her score was worse than those of 60% of all test takers. b Her score on the exam was 60%. c Her score was better than those of 60% of all test takers. d Her score was in the top 60% of all test takers' scores.
PLEASE HELP!!
Answer:
The correct option is;
c. Her score was better than those of 60% of all test takers
Step-by-step explanation:
Percentile Score is the score of an exam or test candidate with regard to the relative performance of the other persons that took part in the exam or test.
The percentile score is calculated by converting candidates scores into a scale consisting of the scores of all candidates and ranging from 0 to 100
A 60th percentile score means that the student performed better than 60% of all the candidates of the test and 40% of the test takers scored the same as or better than the student.
Answer:
c Her score was better than those of 60% of all test takers.
Step-by-step explanation:
A student scored in the 60th percentile on her math exam. showing she was the top 60 of all the test takers
Find the solution set for this equation M^2-4=0
Step-by-step explanation:
Hey, there !!
Let's simply work with it,...................
Here, theequation is,
[tex] {m }^{2} - 4 = 0 [/tex]
[tex]or \: {m }^{2} = 4[/tex]
[tex]or \: m = + - \sqrt{4} [/tex]
[tex]or \: m = + - \sqrt{ {2}^{2} } [/tex]
cancelling square and square root we get answer is,
= (+ - 2).
It means the value of m is plus(+) minus(-) 2.
Hope it helps...
what is the distance between (-3,0,1) and (5,2,0).
Answer:
4
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2}\\ =\sqrt{(5+3)^2+(2-0)^2+(0-1)^2} \\=\sqrt{64+4+1} \\=\sqrt{69}[/tex]
Evaluate a + b for a= 34 and b= -6
Answer:
Hey there!
a+b
34+(-6)
34-6
28
Let me know if this helps :)
