[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Area of the circle = 2464 cm².
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The radius of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
[tex]\sf\orange{The\:radius \:of\:the\:circle\:is\:28\:cm.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Let "[tex]r[/tex]" be the radius of the circle.
We know that,
[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr²}[/tex]
[tex]⇢ 2464 \: {cm}^{2} = \frac{22}{7} \times {r}^{2} \\\\ ⇢ {r}^{2} = 2464 \: {cm}^{2} \times \frac{7}{22} \\ \\⇢ {r}^{2} = \frac{17248}{22} \: {cm}^{2}\\ \\⇢ {r}^{2} = 784 \: {cm}^{2} \\ \\⇢ r = \sqrt{784 \: {cm}^{2} } \\ \\⇢ r = \sqrt{28 \times 28 \: {cm}^{2} } \\ \\⇢ r = 28 \: cm[/tex]
[tex]\boxed{Therefore,\:the\:radius \:"r"\:of\:the\:circle\:is\:28\:cm.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{Happy\:learning }}{\blue{!}}}}}[/tex]
Darla is painting a mural. She needs to paint a rectangular stripe that measures 1 half yard by 6 yards. Which is the area of the stripe?
Answer:
3 yards^2
Step-by-step explanation: Area of a rectangle=Length*Width. 6 yards*0.5 yards=3 yards^2
ABCD is a parallelogram in which cd = 7cm Ad = 5cm ND adc = 125.. Find correct to one decimal place the area of the parallelogram.
28.7cm²
Step-by-step explanation:
The sketch of the parallelogram is attached to this response.
As shown in the sketch,
h is the height of the parallelogram
ADC is 125°
AD = 5cm
CD = 7cm
Also
Since the adjacent angles of a parallelogram are supplementary (add up to 180°), it means that;
=> ADC + BCD = 180°
=> 125° + BCD = 180°
=> BCD = 180° - 125°
=> BCD = 55°
The area (A) of a parallelogram is given by;
A = b x h ----------(i)
Where
b = base of the parallelogram
h = height of the parallelogram
From the sketch,
b = CD = 7cm
h can be found by using the sine trigonometric function as follows
sin BCD = [tex]\frac{h}{BC}[/tex]
=> sin 55° = [tex]\frac{h}{5}[/tex]
=> h = 5 sin 55°
=> h = 5 x 0.8192
=> h = 4.096cm
Now, substitute the values of h and b into equation (i) as follows;
A = 7 x 4.096
A = 28.672
A ≅ 28.7 (to one decimal place)
Therefore, the area of the parallelogram is 28.7cm²
A company produce 6400 text book. The company packed 400 into each carton how many carton did they fill ?
Answer: 16
Step-by-step explanation: 6400 : 400 = 16
Please help with this question.
Answer:
The value of "h" = 32 unit
Step-by-step explanation:
Given:
In given parallelogram
Height for base 36 = 24
Height for base 27 = h
Find:
The value of "h"
Computation:
Area of parallelogram = Base x Height
For base 36
Area of parallelogram = 36 x 24
Area of parallelogram = 864 unit²
For base 27
Area of parallelogram = 27 x h
864 = 27 x h
The value of "h" = 864 / 27
The value of "h" = 32 unit
What is the probability of getting 1 red and then blue?
Answer:
Find the volume of this prism.
FAST PLEASE
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random. What is the approximate probability that exactly three of the cards are diamonds? 1% 4% 11% 44%
=====================================================
Explanation:
We'll involve the nCr combination formula here. This is because order doesn't matter.
There are n = 13 diamonds and we want to select exactly r = 3 of them.
So,
[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{13} C _{3} = \frac{13!}{3!*(13-3)!}\\\\_{13} C _{3} = \frac{13!}{3!*10!}\\\\_{13} C _{3} = \frac{13*12*11*10!}{3!*10!}\\\\_{13} C _{3} = \frac{13*12*11}{3!}\\\\_{13} C _{3} = \frac{13*12*11}{3*2*1}\\\\_{13} C _{3} = \frac{1716}{6}\\\\_{13} C _{3} = 286\\\\[/tex]
There are 286 ways to pick the three diamond cards. Then there are 52-13 = 39 ways to pick the fourth card that is either a spade, club of heart.
So we have 286*39 = 11,154 ways to pick the four cards given the conditions your teacher set.
This is out of 52C4 = 270,725 ways to pick four cards (use the nCr formula above with n = 52 and r = 4).
Divide the two values to get the answer:
(11,154)/(270,725) = 0.04120048019208
that rounds to 0.04 which converts to 4%
So there's roughly a 4% chance of getting exactly 3 diamond cards.
Answer:
4% (four percent)
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
Answer:37.68
Step-by-step explanation:
Do yk the anwser to my question?
Write 5 5/6 as an improper fraction
Answer:
the answer is 35/6 hope it helps:)
Answer:
The answer is 35/6
Step-by-step explanation:
Multiply the denominator by the whole number.
5 x 6 = 30
Then add the Numerator.
30 + 5 = 35
Now the answer is 35/6, you don't change the denominator.
Write [4^ squareroot 81] 5^
Answer:
(⁴√81)⁵
= [tex]81^{\frac{5}{4} }[/tex]
[tex]81^{\frac{5}{4} }[/tex]
= 243
Step-by-step explanation:
(⁴√81)⁵
(3)⁵
= 243
Answer:
the answer is B 81^4/5 I HOPED THIS HELPED
Find x to the nearest tenth.
Answer:
x = 11.3
Step-by-step explanation:
This is a right isosceles triangle
x² + x² = 16²
2x² = 256
x² = 128
x = 11.3
[tex] \sqrt] a3 - b3[/tex]
what is answer
Answer:
y=3-b linear function
Step-by-step explanation:
When finding the length of the hypotenuse of a right triangle, why might you approximate the answer? I NEED THIS ASAP I AM TIMED
Answer:
You would approximate because the hypotenuse might not be a perfect square.
Step-by-step explanation:
[algebra 2, word problems and expressions] hai! please help!
Answer:
The first one, f+2g+3t! :)
Step-by-step explanation:
F is worth 1 point so you don't need to add a number, g is worth 2 points, and t is worth 3 points.
Zeyad has a bag of 40 marbles. 10 of them are red. 12 are blue. 18 are white. He reaches into the bag without looking. What is the probability that Zeyad will select a white marble?
Answer:
9/20
Step-by-step explanation:
There are 40 marbles
18 are white
P( white marble) = number of white marbles / total number of marbles
= 18/40 = 9/20
What’s the least number of faces a polyhedron can have? And why?
Answer:
The minimum number of faces a polyhedron can have is 4 faces.
Step-by-step explanation:
We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).
Pleaseee HELP ASAP !!!
Answer:
A: (x-5.5)^2 + (y-4)^2=12.25
Step-by-step explanation:
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
15x2
ANSWER
Step-by-step explanation:
EXAMPLESmonomial:-20ybinomial:-25x+70ytrinomial:-13x+17y+√16Degree of polynomial of 15x^2 isDEGREE =2
A guitar is originally priced at $80. The online retailer gives a discount and the guitar is now priced at $44. Enter the percentage discount for the cost of the guitar. (PLEASE ANSWER THIS I NEED THE ANSWER BY TODAY RIGHT NOW!!!)
Answer:
The percentage discount for the cost of the guitar is 45%.
Step-by-step explanation:
First let's find the difference between the original price and the new price.
80 - 44 = 36
So the actual discount got the price down by $36.
To find the percentage discount we need to ask ourselves the question
36 is what percent of 80?
36 = X percent of 80
In math, of means multiply.
36 = X percent * 80
So to get the "X percent" part alone we divide by 80 on both sides.
36 divided by 80 = 0.45
36 is 45 percent of 80.
The percentage discount for the cost of the guitar is 45%.
PLEASE HELP ASAP PLZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
45%
Step-by-step explanation:
There are 450 people with over 3 people in their family. There are 1000 total people. 450/1000 is 45%
Create your proportions using the form to represent the flowing problem seven is what percent of 30?
Answer:
23.33%
Step-by-step explanation:
Let
x = percentage
Base = 30
Amount = 7
x% of 30 = 7
x/100 * 30 = 7
(x*30) / 100 = 7
30x / 100 = 7
Cross product
30x = 100 * 7
30x = 700
x = 700/30
x = 23.333333333333
Approximately,
x = 23.33%
!NOW! Bennett budgeted $6,000 to spend on food for the year. If he spent $400 each month,
which expression represents how much money Bennett had left after x months.
Answer:
Y=6000-400x
Step-by-step explanation:
Y=6000-400x where 6000 is beginning total, x represents how many months have passed, and 400x reduces the total by 400 for x number of months.
The equation of the line that has a slope and passes through the point (-1, -3) is 3x + 2y +3 = 0.
Answer:
below
Step-by-step explanation:
that is the procedure above
f(x) = x² , g(x) = x+1 find gof (2) , fog (2)
Answer:
Explanation:
Hey there!
Here;
f(X) = x²
and g(X) = X+1
To find: gof (2) and fog (2)
For gof (2),
gof = g{f(X)}
= g (x²)
= x²+1
Then;
gof(2) = 2²+1
= 4+1
= 5
Therefore, gof (2) is 5.
For fog(2),
fog (X) = f{g(X)}
= f(X+1)
= (x+1)²
= x²+2x+1
= x²+2x +1
Then;
fog(2) = 2²+2*2+1
= 4+4+1
= 9
Therefore, fog(2) = 9.
Hope it helps!
According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work? Round the answer to the nearest thousandth. P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction
1) 0.001
2) 0.002
3) 0.128
4) 0.899
Answer:
.899
Step-by-step explanation:
Important: (Worth 50 Points)
The number of adults at an amusement park, measured in hundreds of people, is represented by the function a(w)=−0.4w2+5w+9, where w is the number of weeks since the amusement park opened for the season.
The number of children at the same amusement park, measured in hundreds of people, is represented by the function c(w)=−0.2w2+9w+12, where w is the number of weeks since the amusement park opened for the season.
What function, f(w) , can be used to determine how many more children than adults are at the amusement park any week during the season?
f(w)=−0.2w2+4w+3
f(w)=−0.2w2+4w−3
f(w)=0.2w2+4w+3
f(w)=0.2w2+14w+3
Answer:
C. f(w) = 0.2w² + 4w + 3Step-by-step explanation:
The function f(w) is the difference of c(w) and a(w):
f(w) = c(w) - a(w) = − 0.2w² + 9w + 12 - (- 0.4w² + 5w + 9) =− 0.2w² + 9w + 12 + 0.4w² - 5w - 9 =0.2w² + 4w + 3Correct choice is C
David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually
Complete Question
David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually.how many stores does the restaurant operate in 2020?
Answer:
[tex]N_{11} \approx 749[/tex]
Step-by-step explanation:
From the question we are told that:
Number of Fast Food Restaurants [tex]P=200[/tex]
Number of years [tex]t=11yrs[/tex]
Rate [tex]r=12%[/tex]
Generally the equation for the Number of restaurant in operation in 2020 is mathematically given by
[tex]N(t)=Pe^{rt}[/tex]
Therefore
For t=11
[tex]N_{11}=200*e^{0.12*11}[/tex]
[tex]N_{11}=748.7[/tex]
[tex]N_{11} \approx 749[/tex]
6,347.2184 to the nearest thousandth
Answer: 6347.218
Step-by-step explanation:
Answer:6,347.218
Step-by-step explanation:
look at the thousandths place and then look at the number next to it if the number was 5 and above the answer would be 6,347.219 but in this situation it's not so you would keep everything the same but subtract the 0.0004
solve the equation:x²y²–x²–y⁴+y²=0
Solve for x. assume that lines which appear tangent are tangent. x=
Answer:
x = 8
Step-by-step explanation:
The product of the length of the exterior segment of a secant and the length of the secant is equal to the correpsonding operation with the other secant.
9(9 + 11) = 10(10 + x)
180 = 100 + 10x
10x = 80
x = 8
what is the larger fraction 5/6 or 8/10
Answer:
5/6
Step-by-step explanation:
5/6=0.84, 8/10= 0.8