[tex]\rule{200}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]
The radius of a circle is 10 m. Find its area to the nearest whole number.
[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We're asked to find the area of the circle, which we can find using the following formula:-
[tex]\bold{Area_{(circle)}=\pi r^2}[/tex]
Where:-
π = pi [3.14...]r=radius (10 m)What we need to do to find the area:-[tex]\dagger[/tex] Substitute 10 for r and 3.14 for π:-
[tex]\hookrightarrow\sf{A=3.14\times(10^2)}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\bold{A=3.14\times100}[/tex]
[tex]\bigstar[/tex] On further simplification,
[tex]\bold{A=314}[/tex]
[tex]\bigstar[/tex] The Area is:-
[tex]\bold{A=314\:m^2}[/tex]
[tex]\square\!\!\!\!\!\!\bigstar[/tex] Note:- Area is always measured in units² (units squared)
Good luck with your studies.[tex]\rule{300}{3}[/tex]
How do you find the frequency in statistics?
Answer:
Count the tally marks to determine the frequency of each class. The relative frequency of a data class is the percentage of data elements in that class. The relative frequency can be calculated using the formula fi=fn f i = f n , where f is the absolute frequency and n is the sum of all frequencies
please solve
5x+3x-2x=
Answer:
hope it help you
Step-by-step explanation:
[tex]5x + 3x - 2x \\ 8x - 2x \\ 6x[/tex]
Answer:
6x
Step-by-step explanation:
Take x as the common factor and calculate.
5x + 3x - 2xx (5 + 3 - 2)x (8 - 2)6xEach point on the edge of a circle is equidistant from the center of the circle. The center of a circle is located at (6, 3). Which point on the y-axis could be on the edge of the circle if the distance from the center of the circle to the edge is 10 units?
(0, –1)
(0, 1)
(0, 5)
(0, –5)
Answer: (0, –5)
Step-by-step explanation:
Don’t worry the other person is right
Step-by-step explanation:
What is the greatest common factor of the numerator of ?
The greatest common factor of the numerator and denominator of the rational expression is x - 4
How to determine the greatest common factor?The fraction expression is given as:
[tex]\frac{5x-20}{x^2-2x-8}[/tex]
Factorize the numerator and the denominator
[tex]\frac{5x-20}{x^2-2x-8} = \frac{5(x-4)}{(x- 4)(x + 2)}[/tex]
Cancel out the common factor
[tex]\frac{5x-20}{x^2-2x-8} = \frac{5}{(x + 2)}[/tex]
The common factor that was canceled out is x - 4
Hence, the greatest common factor of the numerator and denominator of the rational expression is x - 4
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please help me with this question!
Answer:
figure
Step-by-step explanation:
it out urself
thanks
Hoping to increase pizza sales on Tuesdays, a new pizza restaurant prints and disperses the following coupon through email and fliers in a neighborhood marketing magazine
After ten weeks of the coupon offer, the owner of the restaurant needs to decide if the restaurant should continue to run the same special or offer a new one. Use the data collected in the table to determine whether or not the coupon appears to be generating sales for the restaurant.
Week Total
Sales
1 $859
2 $1,176
3 $1,480
4 $1,365
5 $1,576
6 $1,498
7 $1,180
8 $1,964
9 $1,634
10 $1,580
Part A: don’t answer
Part B: Use the total sales for weeks 4 and 9 to write an equation for the line of best fit. In your final answer, include all of your calculations.
Part C: in terms of the slope of the equation for the line of best fit, explain whether or not you think the coupon is responsible for the restaurant's increase or decrease in pizza sales on Tuesdays. Use complete sentences in your answer.
Part D: Assuming that the pizza restaurant wishes to continue the coupon for an additional five weeks, use the equation for the line of best fit to predict the restaurant's sales for the Tuesday of the 15th week.
—
B) y = 53.8x + 1149.8
C) Total Sales increase from one week to the next by $53.8.
Therefore, it is true to say that the paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter.
D) The restaurant's sales for the Monday of the 15th week is expected to be $1956.8
What is equation of line?The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.
B) As by scatter plot,
The total sales for week 4 is given as 1,365 while that of week 9 is 1,634.
Therefore, we shall determine the equation for the line of best fit using the points;
( 4, 1365) and ( 9, 1634)
The first step would be to determine the slope of this line;
slope = (1634 - 1365)/ (9 - 4)
= 53.8
The equation of the line in slope-intercept form is thus;
Sales = 53.8(Week) + c
We need to determine c, the y-intercept. We can use the point ( 4, 1365);
1365= 53.8(4) + c
c = 1365-215.2
c = 1149.8
The equation of the line of best fit is thus;
y = 53.8x + 1149.8
C) The slope of the equation for the lines of best fit was found to be 53.8.
This value is positive which implies
Total Sales increase from one week to the next by $53.8.
The slope in regression is defined as the change in y for every unit change in x.
Therefore, it is true to say that the paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter.
D) The equation for the line of best fit was found to be;
y = 53.8x+ 1149.8
where y denotes the total sales and x the corresponding week. We are required to determine y when x is 15;
y = 53.8(15) + 1149.8
y = 1956.8
Therefore, the restaurant's sales for the Monday of the 15th week is expected to be $1956.8.
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is this image a function
The mapping diagram given is a function.
-Hope it helps!!
What is the perimeter of the parallelogram?
Answer:
2(a+b)
Step-by-step explanation:
Someone help me please
Answer:
Step-by-step explanation:
Carpet costs $8.30 per square foot. How much will it cost to carpet the room? Show your work.
The area is 812ft
Answer:
about 98 dollars to cover the whole room in carpet
Step-by-step explanation:
The Carpet costs $8.30 per square foot, so 812 ÷ 8.30 = 97 with remainder. Therefore 98 as a rounded total ✅
alfredo va a comprar 850 dolares si cada dolar cuesta en promedio 2945 pesos cuanto dinero en pesos debe llevar alfredo
Answer:
He will need $2,503,250 pesos.
Step-by-step explanation:
2,945 x 850 = 2,503,250
What is the difference of the y coordinate (0,3) and the y coordinate (4,0)
Answer:
3
Step-by-step explanation:
The difference of the two y-coordinates is found by ...
a) identifying the y-coordinates
b) computing their difference.
__
Each ordered pair lists the y-coordinate second.
(0, 3) ⇒ y-coordinate = 3
(4, 0) ⇒ y-coordinate = 0
The difference of the y-coordinates is ...
3 -0 = 3
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
I believe that is the diameter.
Answer:
C. Diameter
Step-by-step explanation:
Circumference: The distance around the edge outside of the circle.
Diameter: The distance across the circle that goes through the center.
Radius: The distance halfway across the circle, which is half the diameter.
Center: The point or dot in the middle of a circle.
Which function rule is represented by the table?
y=4x-1
y=3x+2
y=2x+3
y=x+2
Answer:
[tex]y=2x+3[/tex]
Step-by-step explanation:
Sure hope this helps you
Which expression has the greatest value?
(options are included in the image)
Answer:
(b) 16^(3/2)
Step-by-step explanation:
Your calculator is a good source of information about the values of numerical expressions.
__
Here, all of the expressions have a value of 16 except 16^(3/2). That has the greatest value.
_____
Additional comment
Assuming you're familiar with powers of 2 and the rules of exponents, you can evaluate these without a calculator:
∛(64²) = ∛(2^6)² = (2^12)^(1/3) = 2^4
16^(3/2) = (2^4)^(3/2) = 2^6 . . . . . has the greatest value
√(16²) = ((2^4)^2)^(1/2) = 2^(4·2/2) = 2^4
∛(8^4) = ((2^3)^4)^(1/3) = 2^(3·4/3) = 2^4
__
8= 2^3; 16 = 2^4; 64 = 2^6
(a^b)^c = a^(bc)
A root is equivalent to a fractional power. The cube root is the 1/3 power, for example.
3x-y= 17
-x+y= -7
Help please
Answer:
y = -2
x = 5
Step-by-step explanation:
3x - y = 17
-x + y = -7
here we can find the sum of the two equations
2x = 10
x = 5
now we can just plug in the value of x to find y
-(5) + y = -7
y = -2
Given right triangle abc with altitude bd drawn to hypotenuse
ac. if ad = 8 and dc = 32, what is the length of bd?
i need some help with this question.
The scale factor will be 1.5. The corresponding angles are congruent because the size is changed not the angles.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
Adnan wants a larger garden.
He draws the triangle ΔPQR to show his original garden.
He wants to enlarge a garden, so he uses a dilation to form the image of the triangle ΔPQ'R'.
He uses vertex P as the center of the dilation.
The ratio of the corresponding sides will be given as
PQ'/PQ = Q'R'/QR = R'P/RP = 1.5
The scale factor will be 1.5.
The corresponding angles are congruent because the size is changed not the angles.
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What is the quotient? startfraction 2 y squared minus 6 y minus 20 over 4 y 12 endfraction divided by startfraction y squared 5 y 6 over 3 y squared 18 y 27 endfraction startfraction 2 over 3 (y minus 5) endfraction startfraction 3 (y minus 5) over 2 endfraction startfraction (y minus 5) (y 2) squared over 6 (y 3) squared endfraction startfraction 3 (y 5) (y minus 2) over 2 (y 2) endfraction
The quotient of two fractions, (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27), is: 3(y - 5)/2
What is a Quotient?Quotient can be described as the result you get from dividing a term by another term.
Let's find the quotient of (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27)
Quotient = (2y² - 6y - 20)/(4y + 12) ÷ (y² + 5y + 6)/(3y² + 18y + 27)
Change the division sign to multiplication sign and turn the second fraction upside down
(2y² - 6y - 20)/(4y + 12) × (3y² + 18y + 27)/(y² + 5y + 6)
Bringing out the common terms, we would have:
2(y² - 3y - 10)/4(y + 3) × 3(y² + 6y + 9)/(y² + 5y + 6)
Factorize
2(y - 5)(y + 2)/4(y + 3) × 3(y + 3)(y + 3)/(y + 3)(y + 2)
Cancel out common factors
= 3(y - 5)/2
Quotient = 3(y - 5)/2
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Answer:b
Step-by-step explanation:
lol
There are 3 items in an order. They cost $14.65, $8.49, and $10.99. The sales tax for this order is 7.5%.
What is the total cost of the order?
$34.13
$35.84
$36.52
$36.69
Answer:
(d) $36.69
Step-by-step explanation:
The total cost of the order is the sum of the costs of the items and the tax on that subtotal.
__
The price after tax can be found using the multiplier (1 +tax rate) applied to the subtotal.
total cost = ($14.65 +8.49 +10.99)×(1 +0.075) = $34.13×1.075
total cost = $36.69
Answer: $36.69
Step-by-step explanation: K12 Test 8.02 Grade 7 Semester B Test - Part 1
How do I answer this?
Answer:
I dontknow what ur question is but I think u just have to measure the length of 50 ° on ur protector use a compass
What is the length of the hypotnuse in a right triangle with sides lengths of 8 and 15
Answer:
Hypotenuse = 17
Step-by-step explanation:
if: a = 8, b = 15 c = hypotenuse:
[tex]c=\sqrt{a^{2}+b^{2} }[/tex]
[tex]c = \sqrt{(8)^{2} +(15)^{2} } =\sqrt{64+225}=\sqrt{289} =17[/tex]
Hope this helps
the length of one base of a trapezoid is 19 meters and the length of the other base is 27 meters. find the length of the median.
Answer:
23 m
Step-by-step explanation:
the median is calculated as
half the sum of the parallel bases , then
median = [tex]\frac{19+27}{2}[/tex] = [tex]\frac{46}{2}[/tex] = 23
Mina had a disco for her birthday. For every 2 boys at the disco, there were 3 girls. There were 35 children at the disco in total. How many boys were at the disco?
There were 14 boys at Mina's disco for her birthday.
What is a ratio?A ratio is a quantitative value that shows the number of times a certain value is in another value.
The number of boys at the disco can be calculated as shown below:It is given that for every 2 boys at the disco, there were 3 girls. This means that the ratio of boys to girls at the disco is 2:3.
Let the proportionality constant be x.
Therefore total boys and girls are 2x and 3x respectively.
There are 35 kids at the disco. This means that the number of boys plus girls is 35. It can be written as shown below:
2x + 3x = 35
⇒ x = 35/5
⇒ x = 7
Total number of boys = 2x
= 2 * 7
= 14 boys
Therefore the total number of boys at the disco is 14.
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please 40 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1.cannot
2.can
3.cannot
4.can
Step-by-step explanation:
it's actually quite simple. if the angles add up to 180°, it is a triangle. so if they don't, then its not a triangle.
21+28+41= 90 -> not a triangle
65+45+70=180 -> triangle
48+52+54=154 -> not a triangle
16+40+124=180 -> triangle
davion bought a new controller for $32. he also bought a stuffed elephant for his brother. he paid everything with 4 twenty dollar bills.if he got $18 back in change how much did the stuffed animal cost?
Answer:
$30
Step-by-step explanation:
First we will find how much money Davion paid with.
4 * $20 = $80
Now we can find how much the stuffed animal cost using the controller cost and change received.
Let x be the cost of the stuffed animal
80 = 32 + 18 + x
80 = 50 + x | subtract 50 from both sides
30 = x
This means the stuffed animal cost $30.
That is your answer
- Kan Academy Advance
Find the prime factorization of 1296
METHOD WAY!
Answer:
[tex]1296 = 6 \times 6 \times 6 \times 6 = {6}^{4} = {2}^{4} \times {3}^{4} [/tex]
Which is the correct solution to ‐3x<21?
Answer:
Top right
Step-by-step explanation:
When mult/dividing by a negative number, the sign always flips.
can someone please help me solve these math problems they are about triangle proofs
Answer:
Besides the givens:
12.
AC = EC, BC = DC; Definition of Midpoint
<ACB = <ECD; Vertical Angles Theorem
Triangle ABC = Triangle EDC; SAS Congruence Postulate
13.
AD = CD; Definition of Median
BD = BD; Reflexive Property
Triangle ABD = Triangle CBD; SSS Postulate
Step-by-step explanation:
None necessary.
somebody please help me with this
Answer:
1/21
Step-by-step explanation:
there are 7 songs total
3 rock sounds, 2 reggae songs and 2 country songs
probability of choosing both country songs without returning the first song = probability of choosing country song first time × probability of choosing country song second time
probability of choosing a country song first time = # of country songs / # of total songs
# of country songs = 2
total # of songs= 7
so probability of picking a country song = 2/7
if she doesn't return the disc there are 7 - 1 = 6 more songs left and 2 - 1 = 1 is country
probability of choosing country song second time
again probability = # of country songs / total # of songs
here there are only 6 songs total and 1 of them are country
so probability = 1/6
we have probability of choosing both country songs without returning the first song = probability of choosing country song first time × probability of choosing country song second time
first probability = 2/7
second probability = 1/6
total probability = 2/7 × 1/6 = 1/21
