The area of the quarter circle is equal to one-fourth area of the circle. Then the area of the quarter circle is 86.59 square inches.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A corner shelf is 1/4 of a circle and has a radius of 10.5 inches.
Then the area of the quarter circle will be
[tex]\rm Area = \dfrac{\pi r^2}{4}\\\\\rm Area = \dfrac{\pi \times 10.5^2}{4}\\\\\rm Area = \dfrac{\pi \times 110.25}{4}\\\\\rm Area = \dfrac{346.36}{4}\\\\\rm Area = 86.59 \ \ in^2[/tex]
The area of the quarter circle is 86.59 square inches.
More about the circle link is given below.
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Lauren bought 10 packs of dog toys. If there are 10 dog toys in each pack, how many packs of dog toys did Lauren buy?
10 packs of dog toys; or 100 dog toys all together.
Step-by-step explanation:
If Lauren bought 10 packs of dog toys, and there are 10 dog toys in each pack, you could simply multiply 10•10, which would come out to 100 dog toys.
write an equation of a line perpendicular to the line 1/2x - 5 , passing through the point (-1 , 7)
y=-2x+5
Calculations ↓First of all we need to determine the slope of the line perpendicular to y = 1/2x - 5 .
The slopes of perpendicular lines are opposite reciprocals.
So we take 1/2 , turn it over , and change it's sign :
[tex]^1/_2\:\:\:--- > ^2/_1\:\:\:--- > 2\:\:\:--- > -2[/tex]
The slope of the line perpendicular to y = 1/2x-5 is -2 .
Since we're also given a point that the line crosses , we can write the line's equation in point - slope form :
y-y₁=m(x-x₁)
y-7=-2(x-(-1)
y-7=-2(x+1)
Now convert to slope intercept :
y-7=-2x-2
add 7 on both sides :
y = -2x+5[tex]\footnotesize\text{hope\:helpful}[/tex]
what is the perimeter of 273
Answer:
91
Step-by-step explanation:
given perimeter = 273
perimeter of equilateral triangle = 3a
3a = 273
a = 273/3
a = 91
hence, length of side of the triangle is 91
Jack bought five bracelets and one necklace
for $24. Jill bought six bracelets and four
necklaces for $54. Write an equation for each
person. Use b to represent the number of
bracelets and n to represent the number of
necklaces
Answer:
Jack: 4 x 6 = 24
Jill: 5.4 x 10 = 54
Step-by-step explanation:
Jack:
5 + 1 = 6
24 ÷ 6 = 4
4 = $4 per item
Jill:
6 + 4 = 10
54 ÷ 10 = 5.4
5.4 = $5.4
B: 11
N: 5
Hope this helps!
4.5cm
4) What is the surface area for the shape to the
right?
A
B
72cm
Acm
9.0cm
С
e
С
27.5
*4.5
81
D
e
8.1cm
22
8.1
72
60
44
26
18.0
7.2 2
19
1648
1648
1905
129384
3210
7.2cm
4.5cm
B
26.0
funar in her famous cookie recipe.
Answer:
203.67
Step-by-step explanation:
all those numbers are confusing, but this is what i get from the picture
triangle area formula = 1/2 base * height
rectangle area formula = L * W
AB = 1/2 base * height, = 1/2 * 9 * 4, = 18
ab is the same as AB =18
C = 8.1 * 4.5 = 36.45
D = 8.1 * 7.2 = 58.32
E = 8.1 * 9 = 72.9
added together = 203.67
What fraction of the square is shaded if the line inside divides the square into two equal parts?
Find the volume of the cone shown as a decimal rounded to the tenth. 22m 12m
Answer:
b
Step-by-step explanation:
the volume (V) of a cone is calculated as
V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius , h is the height )
here diameter = 12 , so r = 12 ÷ 2 = 6 and h = 22 , then
V = [tex]\frac{1}{3}[/tex]π × 6² × 22
= [tex]\frac{1}{3}[/tex]π × 36 × 22
= [tex]\frac{1}{3}[/tex]π × 792 ( cancel 3 and 792 by 3 )
= π × 264
≈ 829.4 m³ ( to the nearest tenth )
a copy machine can reduce the size of the material being copied. A diagram measure 16 cm wide by 20 cm long is reduced if the diagram on the reduced copy is 15 cm long what is its width
the population of rats in nyc is estimated to be 3000000 currently. the rat population is growing by 1% per month. what is the estimated population of rats in 5 years?
Answer:
5,450,000
Step-by-step explanation:
The population can be modeled by an exponential function with a growth rate of 1% per month. The time of interest, 5 years, is 60 months.
__
population = (initial value) × (1 + growth rate per month)^(months)
p = 3,000,000 × (1.01^60) . . . . . . population in 60 months
p ≈ 5,450,000 . . . . in 5 years
The estimated population of rats in nyc is about 5,450,000 in 5 years.
Can someone help with the question?
A password contains exactly 7 letters. How many passwords are possible if letters cannot be used more than once?
A. 8,031,810,176
B. 3,315,312,000
C. 823,543
D.657,800
Answer:
B
Step-by-step explanation:
This is a combination problem. For the first letter, there are 26 possible letters in the alphabet to use. For the second, we cannot use the letter used in the first, so there are only 25 possible letters. Repeat this for the remaining 5 letters.
1st - 26
2nd - 25
3rd - 24
4th - 23
5th - 22
6th - 21
7th - 20
To find the number of possible passwords, simply multiply all these numbers together. 26*25*24*23*22*21*20 = 3,315,312,000. Therefore B is the correct answer.
Answer:
B
Step-by-step explanation:
The answer is B
you can find answers for questions like these on quizlet.
Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.
Answer:
12/35
Step-by-step explanation:
tan = opposite side / addjesent side
Tan (A) = 12 / 35
What is the value of f(-3)
Answer:
4
Step-by-step explanation:
the closed circle falls on 4
Round 0.293263 to the ten thousandths place
Answer:
0.293263 rounded to the ten thousandths place
=0.2933
Answer:
0.2933
Step-by-step explanation:
0.293263 is the decimal you have to round.
0.293263 (the first 2 is in the tenths place)
0.293263 (the 9 is in the hundredths place)
0.293263 (the first 3 is in the thousandths place)
0.293263 (the second 2 is in the ten-thousandths place)
0.293263 (the 6 is in the hundred-thousandths place)
0.293263 (the second 3 is in the millionths place)
They tell you to round the decimal to the ten thousandths place.
The second 2 is in the ten-thousandth place (0.293263).
To round digits you look at the number to its right, if it is 5-9 you round the number up, if it is 0-9 you leave the number as it is.
The number to the right of the number we're rounding (the 2 in the ten-thousands place) is a 6, 6 is a 5-9 number so we round the ten-thousands place digit up 1 number, (from 2 to 3).
And we have our rounded number 0.2933
Hope that helped... Chow!
which of these are examples of a statistical question's?
A) how many computers are in the school's lab?
B) how many letters are in the word direction?
c) what are the favorite books of each member of the book club?
b) how many people volunteered to help at the community's Christmas festival?
e) how many video games were purchased last year by each student in Mr. hills math class
Answer:
See below for answers and explanations
Step-by-step explanation:
A is not a statistical question because there's only a specific value of computers in the lab
B is not a statistical question because there is only one answer, which is 9 letters
C is a statistical question because members can have different favorites (or they find it hard to choose one).
D is not a statistical question because there is only one amount of people that helped out.
E is not a statistical question because each student purchased their own amount of video games and data can be collected for each individual student
What is the coefficient of the x to the power of 4 y to the power of 3 term in the expansion of (x-2y) the the power of 7?
Answer:
-280
Step-by-step explanation:
step-by-step explanation: so ( x-2y)^7 expanded is: x^7-14 x^6y+84x^5y^2-280x^4y^3+560x^3 y^4-672x^2y^5+448xy^6-128y^7. The x^4y^3 term would then be -280 x^4y^3,meaning the coefficient (the number before the variables) here is 280
A rectangular prism has a volume of 240 cubic feet. If the length is 4 feet and the width is 4 feet, what is the height of
the prism?
Answer:
Let's use the formula for the volume of a rectangular prism;
V = l · w · h
Where 'l' represents the length, 'w' stands for the width, and 'h' displays as the height. (V evidently stands for the volume)
What we know:
Volume = 240 ftLength = 4 ftWidth = 4 ftWhat we need to find out:
HeightLet's plug in what we know into the formula:
V = l · w · h
240 = 4 · 4 · h
Now let's solve for h:-
240 = 16 · h
240 = 16h
Get rid of h's co-efficient by dividing 16 from both sides because the inverse operation of multiplication(since 16 is being multiplied by h) is division.
÷16 ÷16
Finally, you would end up with a result of:
15 = h
Hence, the height of this prism is 15 feet.
If a+5=b, then what is the value of (b-a)^4
Answer:82
Step-by-step explanation:
90 + 90 × 10%
= 90 + 90 × 0.10
= 90 + 9
= 99
i need to learn how to do this
Heyy i need help pls :(
Answer:
First one x = 14
Step-by-step explanation:
First one
The sum of the interior angles of a triangle = 180
so
(180-124) + (180-6x) + 2x = 180
x = 14
Determine the most appropriate model for the data in the table.
Please help
Answer:
An exponential model will be the best for the data.
Step-by-step explanation:
If you chart this data (either using a calculator, excel, or an online tool like desmos), it is clear that the curve is exponential.
Furthermore, if you run regression, you can find that the curve [tex]4*2^x[/tex] fits the data quite nicely.
PLEASE HELp
find the degree for the two points below using the circle
Answer:
Step-by-step explanation:
what is the answer? tap on the image
Answer:
D
Step-by-step explanation:
The distance between point C and the y axis is 2 units
The distance between point A and the y axis is 9 units
2<9
D
Answer:
its d, point c is closer to the y-axis than point a
Step-by-step explanation:
In a telephone poll, 3 people said they like shopping and 16 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the number of people who like shopping
Answer:
16:3
Step-by-step explanation:
Thats the way ratios work
If L = 3 inches, W = 2 inches, and H = 5 inches, what is the volume of the rectangular prism?
Answer:
3 x 2 x 5 = 30
Step-by-step explanation:
To calculate a rectanglars prism all you have to do is multiply the length, width and height together.
How many ways can we list the names Bobby, Billy, Mickey, Sally, Betty, Jimmy, Mary, and Fred? Show your work and leave your answer in either exponential or factorial form.
Answer:
40,320
Step-by-step explanation:
8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
The factorial of a natural number is denoted with n! and is equal to the product of all the natural numbers in sequence from 1 to n.
What is a Factorial?This refers to the different ways a thing can be arranged from an available selection of items.
Hence, given that we do not have the complete information, we can only give you a general overview of how to solve a factorial and get answers.
Read more about factorials here:
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Which statement is true about the streets? Select ALL that apply.
A. First Street intersects with Second Street and Third Street.
B. Second Street is perpendicular to Third Street.
C. First Street and Third Street are parallel.
D. Second Street and Third Street are parallel.
E. First Street is perpendicular to Second Street and Third Street.
Answer:
A and D and E
Step-by-step explanation:
Street 2 and 3 are parallel and Street 1 is intersecting it
Answer:
The anserws are A and D.
Step-by-step explanation:
PLS I GIVE BRAINLIEST
The size of the angle QUP in the system formed by the equilateral triangle QUR, the equilateral triangle PUT and the square RUTS is equal to 150°.
How to determine a missing angle within a geometrical system
By Euclidean geometry we know that squares are quadrilaterals with four sides of equal length and four right angles and triangles are equilateral when its three sides have equal length and three angles with a measure of 60°. In addition, a complete revolution has a measure of 360°.
Finally, we must solve the following equation for the angle QUP:
m∠QUR + m∠QUP + m∠PUT + m∠RUT = 360
60 + m∠QUP + 60 + 90 = 360
m∠QUP + 210 = 360
m∠QUP = 150
The size of the angle QUP in the system formed by the equilateral triangle QUR, the equilateral triangle PUT and the square RUTS is equal to 150°. [tex]\blacksquare[/tex]
To learn more on quadrilaterals, we kindly invite to check this verified question: https://brainly.com/question/13805601
During his winter vacation, George reunited skis and boots for 5 days from the slope slayer ski shop. The shop charges the same rate for each day of a rental. Including a $7.50 application fee, George paid a total of $177.25 to rent skis and boots.
What is the rate of change, in dollars per day, for the function that represents George’s rental cost.
A. 7.50
B. 33.95
C. 35.45
D. 42.95
Answer:
B. 33.95
Step-by-step explanation:
177.25 - 7.50 = 169.75
169.75/5 = 33.95
How do you write – 6 5/9 as a decimal?
Answer: 6.56
Step-by-step explanation:
Here are the detailed math steps we use to convert 6 5/9 mixed number to decimal form:
Step 1: Multiply the whole number by the denominator:6 × 9 = 54
Step 2: Add the product you got in Step 1 to the numerator:54 + 5 = 59
Step 3: Divide the sum from Step 2 by the denominator:59 ÷ 9 = 6.555556
That's it folks! The answer to 6 5/9 in decimal form is displayed below:
6 5/9 ≈ 6.56