The radius of the table top, rounded to 1 dp is 5.6 cm
From the question,
We are to determine the radius of the table top
First, we will determine the volume of the cylindrical wooden table
From the given information
Density = 0.42 g/cm³
Mass = 0.25 kg = 250 g
Using the formula
[tex]Volume = \frac{Mass}{Density}[/tex]
∴ [tex]Volume = \frac{250}{0.42}[/tex]
Volume = 595.238 cm³
Now, for the radius of the table top
Using the formula for volume of a cylinder
[tex]V = \pi r^{2}h[/tex]
Where V is the volume
r is the radius
and h is the height or depth
From the given information
h = 6cm
Putting the parameters into the formula
[tex]595.238 = \pi r^{2} \times 6[/tex]
∴ [tex]r^{2} = \frac{595.238}{6\pi }[/tex]
[tex]r^{2} =31.57835667[/tex]
[tex]r =\sqrt{31.57835667}[/tex]
r = 5.6 cm
Hence, the radius of the table top, rounded to 1 dp is 5.6 cm
Learn more here: https://brainly.com/question/11178104
Sally's bank account has $650 in it. Every week, Sally withdraws $50 to pay for her dog sitter.
What is the maximum number of weeks that Sally can withdraw the money so there is at least $75
remaining in the account?
Write and solve an inequality to find the solution.
Answer:
11 weeks
Step-by-step explanation:
If we multiply 50 by 11 we get 550 with a remainder of 100, if we're to take out another 50 for another week we would have 50 dollars remanding but the question says that we need to have at least 75 remaining so this will not be possible. Therefor 11 weeks is our answer.
I hope this helps have a great day :)
PLEASE HELP MEH!!!!!!!!!!!!!
Answer:
A) 15+ (-13) + (-2) = 0
Step-by-step explanation:
we start off with 15 cupcakes in total. Our number of cupcakes decreases when we give 13 to our friends. 15-13=2 so we have 2 cupcakes left. If we then give the remaining 2 cupcakes to our teachers, then we are left with 0 cupcakes.
The way to express this as an equation is 15 - 13 - 2 = 0 , which is equivalent to 15+(-13)+(-2)=0
Answer:
The first option.
Step-by-step explanation:
She originally has 15 cupcakes, if she gives 13 away to her friends and 2 away to her teacher then she would end up with 0, which rules out two options, but the second down would be someone giving her cupcakes, due to the addition symbol, so it's the first option.
Hope this helps and have a good day!:)
Will mark brainliest if you can resolve this problem ( 2 possible answers, NO LINKS OR ANSWERS WITHOUT EXPLANATION)
I can give u the permission of drawing the boxplot by:
- saving the picture or screenshot it ( it's better to screenshot it (Windows+ Logo+Shift+s) )
- drawing the answer on the screenshot Windows
- save the picture (Ctrl+s)
- and finally send it to brainly
(P.s: many people (those who are good at I.T) will argue with the procedure of doing the answer. But many people don't. So I gave the procedure step-by-step to you to show me the working) Thx
Here's the picture:
Answer:
Hopefully this is what you are looking for.
Step-by-step explanation:
Hope this helps!
Is the slope of AC the same as the slope of DF? Explain
Answer:
yes
Step-by-step explanation:
because df is -2/3 and ac is -6/9 which is the same as -2/3
#3: Classify the number below. Select all that apply.
-8
A. Real Number
B. Irrational
C. Rational
D. Integer
E. Whole
F. Natural
There are 20 marbles in a bag. 1/5 are red and others are blue. What is the ratio of red to blue marbles
Answer:
4:16 or 1:4
Step-by-step explanation:
1/5 of 20 = 4
there are 4 red marbles
there are 16 blue marbles
4:16 or 1:4
Answer:
1/5 to 4/5
Step-by-step explanation:
I took this quiz befrore and got a 100
8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. x = 10.
Which property is used in the last step to find that x = 10?
Answer:
Inverse Property of Multiplication
Step-by-step explanation:
Inverse Property of Multiplication is when you do inverse operations to get rid of a multiplied number (if that makes any sense). to solve 8x = 80 you do the inverse of multiplying by 8 (divide both sides of the equal sign by 8) to get x=10.
Solve.
4 Joe solved (2x + 4) > 2(2x + 8) + 1 as shown at the
right. What error did Joe make? Solve the inequality.
(8)
Answer:
Step-by-step explanation: 2x+4+=
what is the probability of flipping 3 coins on the same side that is getting either all heads or all tails? write the exact decimal answer withput rounding
please help,I WILL GIVE BRAINLIEST.
Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
Answer:
During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours.y = 5x + 3
During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. y = 5.5x + 2
Then using both equations will be:
y = 5x + 3
y = 5.5x + 2
Subtract the equations
0.5x = 1
x = 1/0.5 = 2
Therefore, the value of y will be:
y = 5x + 3 = 5(2) + 3 = 13
2 1/3 divided by 1 1/5 what is the answer as a fraction or mixed number in simplest form?
Answer:
1.9444444 is the answer or 35/18
Step-by-step explanation:
Answer:
10/3 or 3 (1/3)
Step-by-step explanation:
I used a calculator sorry i don't know how to explain it
a) Write an equation for the line of best fit.
Y=-0.007x+13.713
5. The data below shows the population of a city,
In millions of people, since 1950.
Year Population
1950 1.75
1960 1.68
1970
1.52
1980
1.16
TO
b) Estimate the population of the city in 2020.
1990
1.04
2000
0.98
Answer
Step-by-step explanation:
In millions of people, since 1950
Find x. Round your answer to the nearest tenth of a degree.
Answer:
42°
Step-by-step explanation:
8 is the opposite
12 is the hypotenuse
We know from SOHCAHTOA to use sine
Since we are looking for the angle, we use sin^-1
sin^-1(opposite/hypotenuse)=x
sin^-1(8/12)=x
Input into calculator
x=42°
Step-by-step explanation:
we use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
where the the side and related angle are always opposite to each other.
so,
12/sin(90) = 8/sin(x)
12/1 = 8/sin(x)
12 = 8/sin(x)
3 = 2/sin(x)
sin(x) = 2/3
x = 41.8103149...° ≈ 41.8°
triangle: 3x-1,4x+1,3x
perimeter:70cm
area:A2
find A
Answer:
A = 210 cm²
Step-by-step explanation:
Perimeter of the triangle = the sum of the sides of the triangle.
70 = (3x - 1) + (4x + 1) + (3x)
70 = 10x
7 = x The length of the sides of the triangle are 3x - 1 = 20; 4x + 1 = 29 and
3x = 21.
Looking at the given information, this triangle is a special type of triangle because the area of a triangle is Area = 1/2 bh and you do not know which side is the base and height of the triangle.
Trying a² + b² = c² to see if it is a right triangle. 20² + 21² = 29 ² ; yes it is a right triangle and now we know that the base and height is 20 and 21. The longest side is the hypotenuse in a right triangle
A = 1/2bh
A = 1/2 (20)(21)
A = 10 · 21
A = 210 cm²
Can someone plz help me? :(
Answer:
The answer is A
Step-by-step explanation:
Both equal 48
A 24 foot flagpole casts a 20 foot shadow of the building next to it is an 85 foot shadow find the height of the building
Answer: 102 foot / feet tall
Step-by-step explanation:
First, we have to find the unit rate . . . what is 24 divided by 20 ? 1.2/1
Second, multiply . . . what is 1.2 x 85 ? 102
( sorry if this is wrong - I forgot how to do the second part for a sec )
Brainliestttytttttdd
Answer: Answer C
Step-by-step explanation:
Only y=x-2 passes through both points as it starts pretty low and rises to the right through both points B and C
The answer is A. y= -2x + 1
PLEASE HELP ME!!! I"L GIVE BRAINLEST
3m + 3
m = -7
-12
-18
-16
24
Answer:
m = [tex]\frac{-421}{6}[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
x
Step 1: Simplify both sides of the equation.
3m+3m=−7−12−18−(16)x(24)
3m+3m=−7+−12+−18+(−384)
(3m+3m)=(−7+−12+−18+(−384))(Combine Like Terms)
6m=−421
6m=−421
Step 2: Divide both sides by 6.
[tex]\frac{6m}{6} =\frac{-421}{6}[/tex]
m = [tex]\frac{-421}{6}[/tex]
I really hope this help's :)Find the value of √1600×8²+√4225
Step-by-step explanation:
√1600×8²+√4225
40 x 64 + 65
= 2625
The table below shows the number of minutes a household phone is used daily based on the number of household members.
Which equation best models this set of data?
A. P = -20.2x^2 - 1.3
B. P= -20.2x - 1.3
C. P= 20.2X^2 + 1.3
D. P= 20.2x + 1.3
I'm pretty sure the answer would be D) P = 20.2x + 1.3 but the answer should be P = 19.2x + 1.3, but it isn't listed so it would be D
A tin of biscuits contains shortbread and choc-chip biscuits in the ratio 2:3 . The tin contains 80 biscuits. How many short-bread biscuits are there in the tin?
Answer:
32
Step-by-step explanation:
There are 80 biscuits inside the tin.
Also, they said that those biscuits are in the ratio
Short bread : Choc - chip
2 : 3
Altogether there are 5 shares ( 2 + 3)
And now you can divide 80 by 5 to find how many biscuits contain per a share.
80 ÷ 5 = 16
In the question, they asked us to to find the number of short biscuits inside the tin.
Let us find that.
There are 2 shares for short bread biscuits.
So,
Number of short biscuits ⇒ 2 × 16
⇒ 32
Hope this helps you :-)
Simplify using the laws of exponents.
[2⁴/2³]⁵
To know this answer we need to know how to solve it. Many people skip this part which makes their answer wrong.
It is asking us to simplify it using exponents.
Exponents are these little numbers beside a big number Telling it how much you multiply it by.
EXAMPLES
2^3 is just 2x2x2
2^4 is just 2x2x2x2
Notice the pattern? I hope so!
Now 2 to the power of 4 is 16. Our new equation looks like this
{16/2^3}^5.
Now 2 to the power of 3 is 8.
So, our new equation is
{16/8}^5
In which you get 2^5 which is just 2x2x2x2x2
And you get 32 as the final answer
I hope this helped and if you have questions just tell me!!
Can y’all help me plz.
Answer:
No. two inputs cannot have the same output
Step-by-step explanation:
This is not a function because -2 and 2 have the same output which is 4
HOPE THIS HELPS :)
Plz help me answer this. Find the area plz ASAP
Answer:
42 square centimeters
I think that is the right answer
sorry if it is wrong
Answer:
7×6= 42 square centimeters
Write these numbers from least to greatest 0.152 0.152 0.132 0.140 01212 0.1412 0.150 0.148
Step-by-step explanation:
0.1212 < 0.132< 0.140 < 0.1412 <0.148 <0.150 < 0.152
Xavier's living room is rectangular and measures 3 meters by 3 meters. Beginning in one
corner, Xavier walks the length of his living room and then turns and walks the width. Finally,
Xavier walks back to the corner he started in. How far has he walked? If necessary, round to
the nearest tenth.
I WILL GIVE BRAINLIEST Hey can someone tell me simply HOW to come to this conclusion? im a bit confiused as to how, dont want to cheat i want to learn. (P.S ive missed multiple grades which has left me with alot of gaps to fill.)
Answer:
(b) x +2y = 8
Step-by-step explanation:
There are at least a couple of ways to come to the conclusion.
1) use the given information to write the equation of the desired line
2) check to see which of the answer choices satisfies the requirement
__
1)The given line has two specified points on it. These can be used to find its slope. (Or, you can count grid square to see it has a rise of -1 for a run of +2.)
The slope formula is ...
m = (y2 -y1)/(x2 -x1)
m = (-4 -0)/(4 -(-4)) = -4/8 = -1/2
Comparing this to our grid square count, we see they are the same:
m = rise/run = -1/2
Now, we have a slope (-1/2) and a point (2, 3), so we can use these to write the point-slope equation of the desired line:
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
y -3 = -1/2(x -2) . . . . . point-slope equation of the desired line
y -3 = -1/2x +1 . . . . . . eliminate parentheses
1/2x +y = 4 . . . . . . . . add 1/2x +3 to both sides
x +2y = 8 . . . . . . . . . multiply by 2
__
2)Perhaps easier in this case is to try the given equations to see which is satisfied at the given point. There are two different left-side expressions to evaluate at the point (x, y) = (2, 3):
x +2y = (2 +2(3)) = 2+6 = 8
2x +y = 2(2) +3 = 4 +3 = 7
Only the equation ...
x +2y = 8
is satisfied at the given point.
_____
Additional comments
While I encourage you to learn to solve questions like this "from scratch", modern math curriculum is often "multiple choice."
When faced with multiple choices for answers, it is often easiest to ...
(a) eliminate the ones that are not self-consistent or that are false on their face;
(b) eliminate the ones that have an obviously fatal flaw (wrong sign of slope, too large or too small, for example);
(c) choose from the remaining ones the one that properly answers the question (satisfies all requirements).
__
When you solve a standard-form equation for y, you get ...
ax +by = c
by = -ax +c
y = -a/bx +c/b
That is, the slope of the line is -a/b.
For the two left-side expressions in the answer choices, the slopes are ...
x +2y ⇒ slope = -1/2
2x +y ⇒ slope = -2/1 = -2
The scales on the graph are the same in the x- and y-directions, so the shallow negative slope of the given line is clearly less than 1. That eliminates the last two answer choices already.
PLS HELPPPPPPPPPPPPPPPPPPPPPPP
how to find vertical asymptotes and horizontal asymptotes
Answer:
Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0. Degree of numerator is greater than degree of denominator by one: no horizontal asymptote; slant asymptote. Degree of numerator is equal to degree of denominator: horizontal asymptote at ratio of leading coefficients.
Step-by-step explanation: Correct me if i'm wrong lol.
Does anybody know what Savvas is? cause I don't know the answer to 6.4 x 3.7 can anybody help.
Answer: I'm not sure what Savvas is, but the answer to your second question is 23.68.
Step-by-step explanation: This can be solved using the stacking method of multiplication, like so:
6.4
x3.7
You would multiply this equation as if there are no decimals, (first doing 7x4, and then 7x6 + 2, then adding a zero to your ones place at the bottom, and doing 3x4, the 3x6 + 1), to get 2348. You then would add the decimals in by moving over 2 places to the left.