Answer: The point values were chosen to give the desired relative weight between a free throw (1 point), a field goal (2 points), and a three-point goal (3 points). Originally, when Dr. James Naismith invented the game of basketball in 1891, goals were worth one point each
Step-by-step explanation:
What is the approximate area of the circle shown below? 70 in diameter
A. 15,394 in^2
B. 220 in^2
c. 3848 in^2
D. 110 in^2
Answer:
c
Step-by-step explanation:
area is radius squared times pi(3.14) the radius is half of the diameter they give you the diameter so divide it by 2 to get the radius then multipy that by pi(3.14)
The approximate area of the circle of the given diameter of 70 inches will equal 3848 in². Hence, option C is correct.
What is the area?The area of an object is the amount of two-dimensional space it occupies. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.
As per the given values in the question,
Diameter of circle = 70 inches
Then, the radius of the circle will be.
r = 70/2
r = 35 in²
Use the formula of the area of a circle,
[tex]A =\pi\ r^{2}[/tex]
A = 3.14 × 35²
A = 3848 in².
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all i need to know is what x and y is, so could someone help me pls n thx!!
Step-by-step explanation:
x and y are variables the represent a number
A bowl of cereal weights 60 oz. How heavy is it in kg?
Answer:
1 ounce=28.3495 grams
60 ounces=60*28.3495=1700.97 grams
1 kilogram=1000 grams
1700.97/1000=1.70097 kilograms
Step-by-step explanation:
Answer:
1.701
Step-by-step explanation:
your going to build a 3 foot by 7 garden.if you want to surround it by a 1 foot wide brick border , how many square feet will you need
Answer:
20
Step-by-step explanation:
Multiply 3 and 7 by 2 and you get 6 and 14 6+14=20 which is the perimeter
Hope that helps!
The number of square feet that you need to add will be 24 square feet.
What is the area of the rectangle?Let W be the rectangle's width and L its length.
The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be
Area of the rectangle = L×W square units
You're going to build 3 feet by 7 feet garden. If you want to surround it with a 1-foot wide brick border.
Then the area of the garden and border will be
A₁ = (3 + 2)(7 + 2)
A₁ = 5 x 9
A₁ = 45 square feet
The area of the garden will be
A₂ = 3 x 7
A₂ = 21 square feet
The number of square feet that you need to add will be
A = A₁ - A₂
A = 45 - 21
A = 24 square feet
The number of square feet that you need to add will be 24 square feet.
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Gracen went out to lunch. Her soda was $125, her hamburger (with cheese) cost $4.75, and she had apple pie for dessert that cost $2.50. She wants to leave a tip of 15%. How much should she leave?
Answer:
She would leave a tip of $1.28
Step-by-step explanation:
So first if we add all of the expenses together we get $8.50. So her who lunch was $8.50. If she wants to leave a 15% tip, it would be 15% of her total cost so, 15% of $8.50 is 1.275. Rounded that's $1.28. She would leave $1.28 tip.
Whoever Figures Out the name closest to mines wins !!
Answer:
hines?..................
Answer:
josiah
Step-by-step explanation:
lets play quizz
game code= 439 018
Answer:
ok
Step-by-step explanation:
Answer:
ok is that it I will try to join
Choose the correct way to end the sentence.
The lines 2x + 4y = 32 and y = –1/2x + 16 are
Answer:
parallel
Step-by-step explanation:
A "rigid motion" refers to which of the following?
change in neither size nor shape
change in both size and shape
change in shape but not size
change in size but not shape
Answer:
change in neither size nor shape
Answer:
Change in neither size or shape
Step-by-step explanation:
Rigid motion changes the location or direction of the object not their size or shape
find the derivative of ln(cosx²).
Answer:
[tex]\displaystyle \frac{dy}{dx} = -2x \tan (x^2)[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationBasic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \ln (\cos x^2)[/tex]
Step 2: Differentiate
Logarithmic Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}[/tex]Trigonometric Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}[/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}[/tex]Rewrite [Trigonometric Identities]: [tex]\displaystyle y' = -2x \tan (x^2)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
If a six-sided cube is rolled, what is the probability that it will land on a 4 or a 6?
Answer:
Step-by-step explanation:
What is probability of rolling a 1, 2, 3, 4, or 5 on a 6-sided cube?
If your 6-sided cube is the usual casino die used in the game of , then
P(rolling a 6)
=16⟹
P (rolling something other than a 6) = P(rolling a 1, 2, 3, 4, or 5) =
1 - P(rolling a 6) =
1−16=66−16=56.
Don’t let the word or throw you off in answering this problem.
enter the value of 3/4 + 7/12 - (-4)
Answer:
Fraction=16/3
(Decimal: 5.333333)
Step-by-step explanation:
3/4+7/12−(−4)
=4/3−(−4)
=16/3
use the multiplier method to decrease £56 by 14%
you must show your working.
Answer:
New value =
56 - Percentage decrease =
56 - (14% × 56) =
56 - 14% × 56 =
(1 - 14%) × 56 =
(100% - 14%) × 56 =
86% × 56 =
86 ÷ 100 × 56 =
86 × 56 ÷ 100 =
4,816 ÷ 100 =
48.16
56 decreased by 14% = 48.16
Absolute change (actual difference):
48.16 - 56 = - 7.84
Step-by-step explanation:
y = 3x + 5
a.Proportional
b.Non-proportional
Answer:
b
Step-by-step explanation:
fyiuariih0iyrf97uuohyyu
Determine the intercepts of the line.
4x – 3y = 17
y-intercept: (S,
O
x-intercept:
Answer:
y-intercept: [tex]y = \frac{4}{3} x - \frac{17}{3} [/tex]
x-intercept: [tex]x = \frac{3}{4} y + \frac{17}{4} [/tex]
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Problem: Find an equivalent ratio in simplest terms:
55:10
Answer: 11:2
Step-by-step explanation: 55:10 / 5:5 = 11:2
Think y=mx+b
Which graph represents the equation 12 = 3x+ 4y? Explain how you know.
Graph A
Graph B
Graph C
Answer:
Step-by-step explanation:
3x%2B4y=12 Start with the given equation
4y=12-3x Subtract 3+x from both sides
4y=-3x%2B12 Rearrange the equation
y=%28-3x%2B12%29%2F%284%29 Divide both sides by 4
y=%28-3%2F4%29x%2B%2812%29%2F%284%29 Break up the fraction
y=%28-3%2F4%29x%2B3 Reduce
Looking at y=-%283%2F4%29x%2B3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-3%2F4 and the y-intercept is b=3
Since b=3 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun
Also, because the slope is -3%2F4, this means:
rise%2Frun=-3%2F4
which shows us that the rise is -3 and the run is 4. This means that to go from point to point, we can go down 3 and over 4
So starting at , go down 3 units
and to the right 4 units to get to the next point
Now draw a line through these points to graph y=-%283%2F4%29x%2B3
So this is the graph of y=-%283%2F4%29x%2B3 through the points and
The diameter of a cake is 12 centimeters, and the area of one slice of cake is 4\pi\ cm.^24π cm. 2 . In terms of \piπ, how many full slices can you cut out of the cake?
Answer:
Total number of slices = 9 slices
Step-by-step explanation:
Given:
Diameter of a cake = 12 cm
Area of one slice = 4π cm²
Find:
Total number of slices
Computation:
Radius of cake = 12 / 2 = 6 cm
Area of circle = πr²
Area of circle = π(6)²
Area of circle = 36π cm²
Total number of slices = Area of circle / Area of one slice
Total number of slices = 36π / 4π
Total number of slices = 9 slices
Answer:
9 full slices
Step-by-step explanation:
Which expressions are equivalent to z + (z + 6)z+(z+6)z, plus, left parenthesis, z, plus, 6, right parenthesis ?
question- z+(z+6)=
Answer:
[tex]2(z+3)[/tex]
Step-by-step explanation:
We are given that the expression
[tex]z+(z+6)[/tex]
We have to find the expression which is equivalent to given expression.
[tex]z+z+6[/tex]
To find the equivalent expression we will combine like terms
Now, combine like terms we get
[tex](z+z)+6[/tex]
[tex]2z+6[/tex]
By using the property
[tex]a+a+..+a(n times)=na[/tex]
Therefore, the expression we get
[tex]2z+6[/tex]
Now, taking common 2
[tex]2(z+3)[/tex]
Hence, the expression which is equivalent to given expression is given by
[tex]2(z+3)[/tex]
Estimate the solution to the system of equations 7x−y=7 x+2y=6 i need help
Answer:
(4/3, 7/3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations of using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
7x - y = 7
x + 2y = 6
Step 2: Rewrite Systems
Equation: x + 2y = 6
[Subtraction Property of Equality] Subtract 2y on both sides: x = 6 - 2yStep 3: Redefine Systems
7x - y = 7
x = 6 - 2y
Step 4: Solve for y
Substitution
Substitute in x: 7(6 - 2y) - y = 7Distribute 7: 42 - 14y - y = 7Combine like terms: 42 - 15y = 7[Subtraction Property of Equality] Subtract 42 on both sides: -15y = -35[Division Property of Equality] Divide -15 on both sides: y = 7/3Step 5: Solve for x
Define original equation: x + 2y = 6Substitute in y: x + 2(7/3) = 6Multiply: x + 14/3 = 6[Subtraction Property of Equality] Subtract 14/3 on both sides: x = 4/3A chef has 7 pounds of potatoes. She needs more than 14 pounds for dinner. What
inequality describes the amount of potatoes the chef needs to buy?
Answer:
x +7 =14 this is not enough information to solve so it probably an algebraic expression so here what i think it is
Step-by-step explanation:
x + 7 =14
The ratio of boys to girls in the show are 11 to 17. If there are a total of 132 boys, what is the total of students in the show?
Answer:
216 studentsStep-by-step explanation:
The ratio of boys to girls:
b/g = 11/7If there are a total of 132 boys, then number of girls is:
132/g = 11/7g = 132*7/11g = 84Total number of students:
b + g = 132 + 84 = 216School A rented and filled 5 vans and 9 buses with 499 students. School B rented and filled 10 vans and 9 buses with 539 students. How many students can a bus carry?
Given:
School A rented and filled 5 vans and 9 buses with 499 students.
School B rented and filled 10 vans and 9 buses with 539 students.
To find:
The number of student a bus can carry.
Solution:
Let x be the number of student a van can carry and y be the number of student a bus can carry.
School A rented and filled 5 vans and 9 buses with 499 students.
[tex]5x+9y=499[/tex] ...(i)
School B rented and filled 10 vans and 9 buses with 539 students.
[tex]10x+9y=539[/tex] ...(ii)
Subtract (i) from (ii).
[tex]10x+9y-5x-9y=539-499[/tex]
[tex]5x=40[/tex]
[tex]x=\dfrac{40}{5}[/tex]
[tex]x=8[/tex]
Putting x=8 in (i), we get
[tex]5(8)+9y=499[/tex]
[tex]40+9y=499[/tex]
[tex]9y=499-40[/tex]
[tex]9y=459[/tex]
Divide both sides by 9.
[tex]y=\dfrac{459}{9}[/tex]
[tex]y=51[/tex]
Therefore, a bus can carry 51 students.
If 3^2+4^2+12^2=13^2
Then what is 7^2+8^2+__=___
Answer:
wt%ydsYRt5 ydsYRt5 Emre Emre Emre 6 ekmek pazar eba
Answer:
7^2+8^2+56^2 = 57^2
Step-by-step explanation:
If you look at it, you can decipher a pattern. 3x4 = 12, and then add and you get the number on the right.
So, with this we can infer it will go 7x8 = 56^2, which will be equal to 57^2
Kenichi took $72 to a concert. If he paid for 5 tickets that each cost d dollars, how much did he still have left? Write an expression to represent the difference in cost with d dollars.
Answer:
The expression represents the difference is (72 - 5d) dollars
Step-by-step explanation:
Let us solve the question
∵ Kenichi took $72 to a concert
∴ The total money with him = 72 dollars
∵ He paid for 5 tickets that each cost d dollars
→ That means he bought 5 tickets each cost d dollars
∴ The cost of the tickets he paid = 5 × d
∴ The cost of the tickets he paid = 5d dollars
∵ The money left with him = total money he has - the amount he spent
∵ The total money = 72 dollars
∵ The amount he spent = 5d dollars
∴ The money left with him = 72 - 5d
∴ The expression represents the difference is (72 - 5d) dollars.
How do you do this because I need help
Answer:
I believe it is B because it is the only solution near....sorry if I am wrong and also your school email is showing which could be bad..so please be careful with your personal info.
Step-by-step explanation:
Have a great day
Strategies for Rational Numbers Please help me
Answer:
i think its the same thing
Step-by-step explanation:
A snail travels at a rate of 2.15 feet per minute . Write a rule to describe the function. b. How far will the snail travel in 7 minutes?
Answer:
Step-by-step explanation:
its function = 2.15 f/min [ f is feet here]
distance travelled by snail in 7min = 2.15 x 7 = 15.05 feet
what is the area of the triangular flag below?
Answer:
Here is your answer
Step-by-step explanation:
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Find an
equivalent ratio in simplest terms:
24 : 40
Answer:
An equivalent ratio in simplest term is: 3 : 5