Shanika is making a decorative tablecloth for her small circular table. The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above ground.
Which design would give Shanika what she wants?
A. a circular piece of cloth with radius of 90 cm
B. a circular piece of cloth with radius of 110 cm
C. a circular piece of cloth with radius of 100 cm
D. a circular piece of cloth with radius of 130 cm
The answer is definatly NOT D. I think that the answer is A.
The design that should give Shanika what she wants is the radius of 90 cm.
Calculation of the design:Since The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above ground.
So, the radius is
= 40 + 60 - 10
= 90 cm
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If you know that the product (x) of two powers is 15^13 and the quotient (÷) of the same two powers is 5, what could the two powers be? How could you verify your answer?
Answer:
if u get it pls tell me
Step-by-step explanation:
help please show steps please I don't know what to do so I want to learn not just get the answer
John sold 32 poster prints of his artwork in September for a total of $126. In October, he sold 48 prints of his artwork for $240. If the relationship between the number of poster prints and total earnings is linear, what was the cost per print expressed as a slope(# of posters sold, $posters sold for)?(complete sentence answer
Given:
In September, John sold 32 prints of his artwork for $126.
In October, he sold 48 prints of his artwork for $240.
To find:
The cost per print expressed as a slope.
Solution:
Let y be the cost of x prints.
The relationship between the number of poster prints and total earnings is linear.
In September, John sold 32 prints of his artwork for $126. So, the line passes through (32,126).
In October, he sold 48 prints of his artwork for $240. So, the line passes through (48,240).
Now, the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{240-126}{48-32}[/tex]
[tex]m=\dfrac{114}{16}[/tex]
[tex]m=7.125[/tex]
The slope of the linear function 7.125.
Therefore, the cost of per print is $7.125.
The length of a rectangle is given by 6t + 5 and its height is √t, where t is time in seconds and the dimensions are in centimeters. Find the rate of change of the area with respect to time.
A'(t) =???
MARK AS BRAINLIST
Step-by-step explanation:
L = 6t+5
H = √t
A = L*H
= (6t+5) *√t = 6t√t + 5√t
A'(t) = 6t * 1/2*√t + √t * 6 + 5/2*√t
= 6t/2√t + 6√t + 5/2√t
Expression for the rate of change of the area with respect to time will be,
A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex] cm per second
It's given in the question,
Length of a rectangle is given by the expression(6t + 5) cm
Width or height of the rectangle is given by the expression,[tex]\sqrt{t}[/tex] cm
Area of the rectangle is given by,
Area = Length × Height
A = (6t + 5)(√t)
A = [tex]6t^{\frac{3}{2}}+5t^\frac{1}{2}[/tex]
Now find the derivative of area (A) with respect to time (t).
[tex]\frac{dA}{dt}=\frac{d}{dt}(6t^{\frac{3}{2}}+5t^\frac{1}{2})[/tex]
A' = [tex](6\times \frac{3}{2})t^\frac{1}{2}+\frac{5}{2} t^{-\frac{1}{2}}[/tex]
A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]
Therefore, expression for the rate of change of the area will be,
A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]
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you are planning a party for 12 people and you purchase 4 bags of candy.If you have a party for 21 people,how many bags of candy should you purchase
Answer:
7
Step-by-step explanation:
one bag of candy for every three people
12 ÷ 4 = 3
21 ÷ 7 = 3
Answer:
7
Step-by-step explanation:
Apply proportions:
People/bag of candy
[tex]\frac{12}{4}[/tex]
For 21 people
[tex]\frac{21}{x}[/tex]
Equal both expressions
[tex]\frac{12}{4} =\frac{21}{x}[/tex]
Solve for x:
[tex]x=21\frac{12}{4} \\x= \frac{21}{3} \\x=7[/tex]
You should purchase 7 bags of candy
4.1 times 3.14 times two
Answer:
In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ. Is this information sufficient to prove triangles DEF and OPQ congruent through SAS? Explain your answer.
Step-by-step explanation:
can you help me?
Answer:
25.748
Step-by-step explanation:
If you multiply 4.1 by 3.14, your answer comes out to 12.874. Multiply that by 2 and you get your answer of 25.748. Hope this helps.
in a neighborhood the ratio of houses with swing sets to houses without swing sets is 3 to 5. if the number with swing sets is 270 how many houses do not have swing sets
Answer:
450? why did I get that?
Step-by-step explanation:
The number of houses not having swing sets is 450.
Given that, in a neighbourhood, the ratio of houses with swing sets to houses without swing sets is 3 to 5 and the number with swing sets is 270.
We need to find out how many houses do not have swing sets.
What is the ratio?Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.
Let the number of houses that do not have swing sets be x.
So that the proportion is 3/5 = 270/x
⇒3x=270×5
⇒x=450
Therefore, the number of houses not having swing sets is 450.
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Jordan invested $97,000 in an account paying an interest rate of 1.6% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $109,700?
Answer:
t≈ 8
Step-by-step explanation:
\text{Compounded Monthly:}
Compounded Monthly:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=109700\hspace{35px}P=97000\hspace{35px}r=0.016\hspace{35px}n=12
A=109700P=97000r=0.016n=12
Given values
109700=
109700=
\,\,97000\left(1+\frac{0.016}{12}\right)^{12t}
97000(1+
12
0.016
)
12t
Plug in values
109700=
109700=
\,\,97000(1.0013333)^{12t}
97000(1.0013333)
12t
Simplify
\frac{109700}{97000}=
97000
109700
=
\,\,\frac{97000(1.0013333)^{12t}}{97000}
97000
97000(1.0013333)
12t
Divide by 97000
1.1309278=
1.1309278=
\,\,1.0013333^{12t}
1.0013333
12t
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\log\left(1.0013333^{\color{blue}{12t}}\right)
log(1.0013333
12t
)
Take the log of both sides
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\color{blue}{12t}\log\left(1.0013333\right)
12tlog(1.0013333)
Bring exponent to the front
\frac{\log\left(1.1309278\right)}{\log\left(1.0013333\right)}=
log(1.0013333)
log(1.1309278)
=
\,\,\frac{12t\log\left(1.0013333\right)}{\log\left(1.0013333\right)}
log(1.0013333)
12tlog(1.0013333)
Divide both sides by log(1.0013333)
92.3402971=
92.3402971=
\,\,12t
12t
Use calculator
\frac{92.3402971}{12}=
12
92.3402971
=
\,\,\frac{12t}{12}
12
12t
Divide by 12
7.6950248=
7.6950248=
\,\,t
t
Make Sense and Persevere A submarine
descends to of its maximum depth. Then it
descends another of its maximum depth. If it
is now at 650 feet below sea level, what is its
maximum depth?
help plz ive been stuck on this for a while now
Answer:1.20/5
Step-by-step explanation:
Answer:
9/10 or in decimal form 0.9
Step-by-step explanation:
-2 (3x - 6) + 4 (5x - 8) = 92
Answer: x=7
Step-by-step explanation:
help which one is it
Answer:
I think it's 3 units to the left and 6 units down
Step-by-step explanation:
Hope I helped!
What is the equation of the line that passes through the point (6,-4) and has a
slope of -1/6
Answer:
y = -1/6x-3
hope this helps
Answer:
x+6y+18=0
Step-by-step explanation:
we have to use (y-y1)=m(x-x1)
now,(x1,y1)=(6,-4),m=-1/6
so, (y+4)=-1/6(x-6)
or,6y+24=-x+6
or,x+6y+24-6=0
x+6y+18=0 is the required equation.
It’s the first one that I need help with
Answer:
4x-3(6x-1)=-11Step-by-step explanation:
6x-y=1
-y=-6x+1
y=6x-1
4x-3y=-11
4x-3(6x-1)=-11PLEASE HELP!!! MATH FINAL
Answer:
He Won 26 Box trolls and 11 Pikachus
Step-by-step explanation:
You subtract 37-11 which would get you 26
Square ABCD has vertices A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4). What is the area of square ABCD?
Answer:
that answer is b
Step-by-step explanation:
hope this helps
The area of square ABCD would be; 64 unit sq.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²] units.
Given that Square ABCD has vertices; A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4).
To find the distance from two of the vertices of the square. The distance formula is as follows;
√[(x-p)² + (y-q)²]
A(-4.5, 4), B(3.5, 4),
D = √[(x-p)² + (y-q)²]
D = √(3.5-(-4.5))² +(4 -(4))²
D = √(3.5-(-4.5))² +(4 -(4))²
D = √(64 + 0)
D = 8
Therefore, the side of the square is 8 units.
The area of the square = side x side
= 8 x 8
= 64 unit sq.
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Solve 5(x+9) - 4 = 71 for x
Answer:
x = 6
Step-by-step explanation:
5 times x is 5x, 5 times 9 is 45; 5x+49-4; 49 minus 4 is 45; 5x+45 = 75; now minus 45 from each side so it would now be 5x = 30; now divide; 30/5 = 6.
determine which postulate or theorem can be used to prove that
Answer:
ASA
Step-by-step explanation:
I need the answer!!!! The original price of Doritos is the same at both Wal-Mart and Kroger. Jon found out that Wal-Mart had Doritos on sale at $0.50 off per bag and bought four bags. Later that day, he found out that Kroger had Doritos on sale at $1 off per bag and bought six bags. If he paid the same amount at both stores, what was the original price of Doritos?
write an equation and solve by using the distributive property, combining like terms, and eliminating the variable on one side of the equation. You must SHOW YOUR WORK!!!!
Answer:
I believe it would be $2 per bag normally.
Step-by-step explination:
If you take $2 and subtract $.50 it is $1.50. Take that multiplied by the number of bags he bought (4), would mean he spent $6 at Wal-mart.
Now $2 subtracted my the sale of $1, is $1 per bag. If he bought 6 bags at Kroger, 1 multiplied by 6, would equal 6. Meaning he spent $6 at both stores if the price was $2.
Lexi runs the snack stand at Belleview Community Pool. This morning, she withdrew $150 from the stand's bank account to buy supplies. When the stand closed this evening, she deposited $437 from the day's sales. What was the total change in the stand's bank account relative to where it started?
Answer:
Step-by-step explanation:
Let the initial money in the account be y.
Lexi withdrew $150 from the stand's bank account to buy supplies. This will be:
= y - $150
Later, she deposited $437 from the day's sales. The money in the account will now be:
= y - $150 + $437
= y + $287
The total change in the stand's bank account relative to where it started will be the initial amount + $287.
Answer:
287
Step-by-step explanation:
Please answerrr!!! (don’t answer if you don’t know it) will give brainliest
Which line is steeper Line A or Line D? EXPLAIN. PLEASE HELP I WILL MARK BRAILIEST!!
Answer:
line A is steeper.
Line A´s slope is 1, while line d´s slope is 2/5
10 POINTS
Find intercepts and interpret their meaning.
Assignment
What is the x-intercept?
Answer:
-4
Step-by-step explanation:
The x- intercept is -4 because it is where the line crosses the x-axis.
(Help me ASAP please) Which table contains only corresponding X-values in a Y-values where the value of Y is 3 more than the quotient of X and 2?
Answer:
Step-by-step explanation:
first ,you put it in a equation :y=x/2 +3 and you get an ordered pair from the graph like 7 is x and 6.5 is y ,answer =7/2 =3.5 +3=6.5 and the y is also 6.5 so that is your answer.
Multiply 2.89x 23.2 =
8. The length of an actual road is
1,000 miles. If 1 inch represents
100 miles, what is the length of
the road on the map?
Answer:
It's A.
Step-by-step explanation:
Answer:
10 inches
Step-by-step explanation:
1,000 / 100 = 10
What is the slope of the graph of 3x - 3y = 6?
Answer:
pls help
Step-by-step explanation:
For each set of angle measurements, determine if they would form a triangle (Answer YES or NO for
each)
1. 120, 50, 10
2. 100, 91. 25
3. 90, 60, 30
4. 77, 54, 49
5. 177. 2,1
Answer:
1. yes
2. no
3. yes
4. yes
5. yes
Step-by-step explanation:
All triangles have 3 angle measurements that add up to 180
I did these all mentally so do double check :)
Are these expressions equivalent?
yes or no
Answer:
yes they are equivalent