Answer:
D
Step-by-step explanation:
72.25 in^2
The minimum possible area of each square cardboard piece that is used to produce circular drink coasters is 72.25 in².
What is the equation of a circle?The equation of the circle is the equation that is used to represent the circle in the algebraic equation form with the value of the center point in the coordinate plane and measure of radius.
The standard form of the equation of the circle can be given as,
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here (h,k) is the center of the circle, and (r) is the radius of the circle.
A company produces circular drink coasters. the equation which represents the size of a coaster is,
[tex]x^2+y^2=18.06[/tex]
The units are in inches. This equation can be written as,
[tex]x^2+y^2=(280/16)[/tex]
[tex]x^2+y^2=(17/4)^2[/tex]
Compare it with the equation of the circle, we get,
h=0
k=0
r=17/4 inch
The radius of the circular coaster is 17/4. Its diameter of it is,
[tex]d=2\times \frac{17}{4}\\ \\d=\frac{17}{2}[/tex]
Now, each coaster is cut from a square piece of cardboard. The diameter of the circular coaster will be equal to the side of the square piece of cardboard.
a=d=17/2 inch
The area of the square is the square of its side. Thus, the area of a square piece of cardboard is,
A=a^2
A=(17/2)^2
A=75.25inch^2
Thus, the minimum possible area of each square cardboard piece that is used to produce circular drink coasters is 72.25 in².
Learn more about the equation of circle here;
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Which pair shows equivalent expressions?
Help quick please!
Answer:
i think A
Step-by-step explanation:
what is the solution of sqaure root -4x = 100
Answer:
I’m pretty sure it’s -2500
Step-by-step explanation:
Answer:
I think it would be x = -2500
Step-by-step explanation:
You square both sides to get rid of the square root and get -4x = 10000 then divide 10000 by -4 to get -2500
Joe has to take two quizzes tomorrow. He has only enough time to study for one of them. The science quiz has 6 true or false questions. The english quiz has 4 multiple choice questions.
Answer:
C) English
Step-by-step explanation:
I don't really know how to explain it, so I'll show you instead.
For science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.
So,
0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.016
For English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.
So,
0.25 x 0.25 x 0.25 x 0.25 = 0.004
They will have to study English (0.004) because it is lower than science (0.016).
The quiz he should study is; English because the probability of getting all questions correct is 0.004 which is lower than for science (0.016).
How to find Probability?We are told that for science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.
Thus;
P(6) = 0.5⁶ = 0.016
We are told that for English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.
Thus; P(4) = 0.25⁴ = 0.004
Thus, we conclude that they will have to study English because the probability of getting all questions correct is 0.004 which is lower than for science (0.016).
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Ben earns an annual income of $12,800 a year. The income tax he has to pay is 15%. What is the amount of income tax in dollars and cents that Ben has to pay? thanks!
A $1,664
B $10,880
C 12,000
D $1,920
Find 15% of 12,800,
[tex]\frac{15}{100}[/tex] ×[tex]\frac{12,800}{1}[/tex]
= 1,920
The enrollment at a university increased from 16,000 students to 20,000 students over a period of 5
years. What is the percent increase in enrollment?
difference
net/
Answer:
25%
Step-by-step explanation:
Initial no of students = 16,000
Final no of students = 20,000
We need to find the percent increase in enrollment.
The increase in no of students = 20,000 - 16,000
= 4000
Percentage = (increase/initial no of students) × 100
[tex]\%=\dfrac{4000}{16000}\times 100\\\\=25\%[/tex]
Hence, the percent increase is 25%.
There are 3 times as many dogs as cats.
If the total number of dogs and cats is 16, how many dogs are there?
Answer:
there are 12 dogs.
Step-by-step explanation:
d= dogs now plug in the 4 into your equation.
c= cats d=3(4)
d+c=16 d=12
3c+c=16
4c=16 SO THEREFORE THERE ARE 12 DOGS :)
c=4
change the following to a mixed number 48/10 simplify
I think it's ''4 4/5"..
write 5/6 - 7/9 in simplest form
9514 1404 393
Answer:
1/18
Step-by-step explanation:
18 is a suitable denominator for both fractions:
5/6 = 15/18
7/9 = 14/18
Then the difference is ...
5/6 -7/9 = 15/18 -14/18 = (15 -14)/18 = 1/18
Please help UwU
also hope your day is going GREAT
if correct i will give BRAINIEST
Answer:
b bro and u get a good day too
Answer:
Pretty sure its C >:]
Explanation:
It's the third option because if you put a piece of paper in the corner its a lil more than 90 degrees, so it wouldn't be B (there's a little more white space left). And it obviously wouldn't be A because that's self explanatory, lol.
And you can't make a perfect square in the inside of the angle so that's another way to tell.
Extra:
I hope you have an amazing day too,, you seem very nice ^-^ good luck on your schoolwork today :]
A .14kg baseball is dropped from rest. It has a momentum of .78kg x m/s just before it lands on the ground. For what amount of time was the ball in the air?
Answer
what r the options? a b c d?????
i wuld say it is 2.5
Step-by-step explanation:
What is the vertex of the equation f(x)=-4(x+2)^2+1
Answer: (-2,1)
Step-by-step explanation:
Step-by-step explanation:
and then we will have access you to get the information you want to cry because you have to be around and he said why he was about the feudal of his heart is the only way he could get his life back to
The volume of a storage tank is 3,375 cubic meters. The storage tank is in the shape of a cube. What is the length of each side?
4. After taking 20% off the original price, Amber paid $35 for her dress. What was the original price? A. $63.75 B. $54.25 O C. $49.50 D. $43.75
Answer: D. $43.75
Step-by-step explanation:
Identify the GCF of 36 and 24
6
12
2
8
Answer:
12...you already figured it out but alr
Step-by-step explanation:
5x-18+8x-10=180 solve for x
Answer:
x mean multiply xd
Step-by-step explanation:
Answer:
x=16
Step-by-step explanation:
Which point represents 27 on the graph?
O Point A
O Point C
O Point D
O Point E
3(c+4) what's da answer
Answer:
c=4
Step-by-step explanation:
3(c+4)
3c+12
c=4
I hope this is correct and have a great day
If I say I’m sick on Tuesday at 8pm and they say I have 72 hours till I can work again and I work at 12 am what time and what day will I work on?
Answer:
Saturday
Step-by-step explanation:
I think
plz help me on this final i beg of u!!!
Answer:
[tex] \frac{1}{2} [/tex]
Step-by-step explanation:
Its asking for how long did she watch for both videos.
[tex] \frac{3}{8} + \frac{1}{8} = \frac{4}{8} [/tex]
4/8 is half. so simplest form would be
[tex] \frac{1}{2} [/tex]
Answer:
1/2 minutes
Step-by-step explanation:
you add the two fractions together and because they have a common denominator you just add across.
1/8+3/8=4/8
now we simplify
the numerator and denominator can both be divided by 4.
4÷4=1
8÷4=2
1/2
please help me solve
Answer:
CD
Step-by-step explanation:
Answer:
3rd one
Step-by-step explanation:
The base of a 15 foot ladder is 9 feet from a building. The top of the leaning ladder reaches and makes contact with the building’s roof. On the corner of the building, a 6 foot flagpole is erected on the roof. What is the height from the base of the building to the top of the flagpole? Please show your work.
9514 1404 393
Answer:
18 feet
Step-by-step explanation:
The ladder length represents the hypotenuse of a right triangle with a base of 9 and an unknown height (h). We can find that height by using the Pythagorean theorem.
9² +h² = 15²
h² = 225 -81 = 144
h = √144 = 12
So, the ladder extends 12 feet up the side of the building. That is the height of the roof. The top of the flagpole is 6 feet above that, so the top of the flagpole is ...
12 ft + 6 ft = 18 ft
above the ground.
The height to the top of the flagpole is 18 feet.
Answer:These are the following dimensions:
1
.
base
=
5
f
t
2
.
hypotenuse
=
15
f
t
3
.
height
=
?
f
t
To solve for the height, use the Pythagorean Theorem, which is:
a
2
+
b
2
=
c
2
where:
a
=
height
b
=
base
c
=
hypotenuse
Substitute your known values into the equation to find the height:
a
2
+
b
2
=
c
2
a
2
+
(
5
)
2
=
(
15
)
2
a
2
+
25
=
225
a
2
=
200
a
=
√
200
a
=
10
√
2
⇒
simplify the radical
a
≈
14.14
f
t
∴
, the ladder goes approximately
14.14
f
t
up the building
Step-by-step explanation:
Last month you spent $30 on clothing. This month you spent 150% of what you spent last month. Set up a proportion to model this situation. How much did you spend this month?
You spent $*blank* this month.
Answer:
$45
Step-by-step explanation:
x=1.5(30)
x=45
What is the length of the unknown leg in the right triangle
Answer:
i think it might be 15m
Step-by-step explanation:
What is 90985 rounded off to the nearest thousand?
A.90000 B.91000 C.90900 D.100000
Answer:
B. 91000
Step-by-step explanation:
what does 1+1 equal i need help
a baseball player got 13 hits in 50 times at bat. what percent of her times at bat did she get a hit
Answer:
26%
Step-by-step explanation:
The cost of a raffle ticket is $2. There is also a one-time $5 fee to be part of the raffle. Which of the following expressions could be used to represent the total cost of being in the raffle and buying m tickets?
2 m + 5
10 m
5 m + 2
7 + m
Answer:
2m+5
Step-by-step explanation:
the x value is 2 and the y intercept is 5
Which equation can be used to solve forz in the following diagram?
(6z- 15)°
Choose 1 answer.
z= (6z-15)
O z-(6z-15) = 90
O z+(6z- 15) = 90
4 of 7
Answer:
C.
THis is a right angle making it 90°
Therefore, 6x-15) + x = 90
Step-by-step explanation:
If the radius is 21 cm and the angle at
center of circle is 140° then the length of
the arc is ?
Step-by-step explanation:
Given: Radius , r =21 cm
The angle at the center of the circle, n° =140°
Length of an arc =?
W.K.T Formula, Length of an arc = 2πr( n°÷360°) units
= 2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Answer:
2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Step-by-step explanation:
P5(A)-2135-7-MATH 1. Out of 1,200 students served at lunch, 660 chose the hamburger meal. What percent of the students chose the hamburger meal?
