a) The area of a circle with a circumference of 287 cm is approximately [insert calculated value] cm².
b) If the square inside the circle has an area of 36 cm², the area between the circle and the square can be calculated as [insert calculated value] cm².
a) To find the area of the circle with a circumference of 287 cm, we can use the formula:
Circumference = 2πr
Given that the circumference is 287 cm, we can solve for the radius (r):
287 = 2πr
Dividing both sides by 2π, we get:
r = 287 / (2π)
Using the value of π as 3.14, we can calculate the radius as:
r = 287 / (2 * 3.14)
Calculating the value of r, we find:
r ≈ [insert calculated value]
Now, we can find the area of the circle using the formula:
Area = πr²
Substituting the calculated value of r into the formula and using π = 3.14, we can determine the area of the circle.
b) Given that the area of the square inside the circle is 36 cm², we can determine the side length of the square by taking the square root of the area. The side length of the square is √36 = 6 cm.
The area between the circle and the square can be calculated by subtracting the area of the square from the area of the circle. We already know the area of the square (36 cm²) and we have calculated the area of the circle in part a. Subtracting the area of the square from the area of the circle will give us the desired result, which will be in cm².
Learn more about area of a circle here
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Find t. (Type just the number)
3t + 12°
66°
Answer:
18
Step-by-step explanation:
I need help with this please. Can someone help me?
If y=5 when x=-3, find x when y=-1
If y=25 when x=15, find y when x=6
Answer:
5. x=0.6 or 3/5 (it's just the fraction and decimal form)
6. y=10
Step-by-step explanation:
5. We are given y=5 and x=-3, so whenever and need to find x if y=-1
We need to find the "x" for the second proportion
Using this information we can create a ratio or proportion. To understand this better, (usingy=5 and x=-3) we can say that for every 5 of something (y) we have -3 of something (x). We can create a "key" using the proportionality:[tex]\frac{y}{x}[/tex]
here is our proportion [tex]\frac{5}{-3} *\frac{-1}{x}[/tex]
lets cross multiply first, 5x=-1(-3) this simplifies to 5x=3, divide 5 from both sides, 5x/5=3/5 and you x=3/5, so this means that x is 3/5 or 0.6 as decimal
6. Lets set up our "key" again [tex]\frac{y}{x}[/tex],
our ratio is for every 25 something (y) we have 15 something(x) or 25/15 or 25:15
[tex]\frac{25}{15} *\frac{y}{6}[/tex] this is our proportion, lets cross multiply to solve for "y"
25*6=15y this simplifies to 150=15y
lets divide both sides by 15, 150/15-15y/15 and we get our final answer
10=y so our why for this is 10
Answer:
6. [tex]\displaystyle 10 = y[/tex]
5. [tex]\displaystyle \frac{3}{5} = x[/tex]
Step-by-step explanation:
You are simply dealing with direct proportional relationships:
[tex]\displaystyle \frac{y}{6} = \frac{25}{15}; 10 = y[/tex]
These are considered equivalent improper fractions. When simplified, you get [tex]\displaystyle 1\frac{2}{3}.[/tex]
_______________________________________________
[tex]\displaystyle \frac{-1}{x} = \frac{5}{-3}; \frac{3}{5} = x[/tex]
If you look closely, you can tell that there is a 1 being used here, and that you need to divide it by the multiplicative inverse of [tex]\displaystyle \frac{5}{3},[/tex]which is [tex]\displaystyle \frac{3}{5},[/tex]and sinse both terms are negative integers, you leave the result as is.
I am joyous to assist you at any time.
What is the simplified form of the following expression?
Answer:
242
Step-by-step explanation:
Simplify the following:
11 ((9^2 - 5^2)/2^2 + 8)
Hint: | Evaluate 2^2.
2^2 = 4:
11 ((9^2 - 5^2)/4 + 8)
Hint: | Evaluate 5^2.
5^2 = 25:
11 ((9^2 - 25)/4 + 8)
Hint: | Evaluate 9^2.
9^2 = 81:
11 ((81 - 25)/4 + 8)
Hint: | Subtract 25 from 81.
| 7 | 11
| 8 | 1
- | 2 | 5
| 5 | 6:
11 (56/4 + 8)
Hint: | Reduce 56/4 to lowest terms. Start by finding the GCD of 56 and 4.
The gcd of 56 and 4 is 4, so 56/4 = (4×14)/(4×1) = 4/4×14 = 14:
11 (14 + 8)
Hint: | Evaluate 14 + 8 using long addition.
| 1 |
| 1 | 4
+ | | 8
| 2 | 2:
11×22
Hint: | Multiply 11 and 22 together.
| 2 | 2
× | 1 | 1
| 2 | 2
2 | 2 | 0
2 | 4 | 2:
Answer: 242
some please help FAST
PLEASE HELP ME, YOU’LL SAVE ME !!
Answer:
C or A
Step-by-step explanation:
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mark and some oh his friend's had eaten 505/8 pizzas. what is this written as a decimal?
5.375
5.325
5.625
5.725
Plz help! Is this right? Question is below!
Answer:
your correct!! hope I helped
After being hit, the puck travels along the ice at a constant speed. What might cause his motion to change?
The following triangle is isosceles. Write an equation and use it to solve for x.
Options:
x = 3
x = 2
x = 6
x = 4
Answer:
x = 6
Step-by-step explanation:
Since the sides are congruent (definition of isosceles triangle), the angles must also be congruent.
Step 1: Set up equation
4x + 20 = 8x - 4
Step 2: Solve for x
Subtract 4x on both sides: 20 = 4x - 4Add 4 to both sides: 24 = 4xDivide both sides by 4: 6 = xRewrite: x = 6What is the least common factor of 420 and 3500
Answer:
10500
Step-by-step explanation:
Answer:
It is 10500.
Hope this helps!
~Narancia
Consider the function f(x) = 10(x2 – 7x). What are the additive and multiplicative inverses?
O The additive inverse is g(x) = 10(x2 + 7x) and the multiplicative inverse is h(x) =
1
10(x2 - 7x)
1
O The additive inverse is g(x) = -10(x2 – 7x) and the multiplicative inverse is h(x)
10(x2 - 7x)
o The additive inverse is g(x) = 10(x2 + 7x) and the multiplicative inverse is h(x) = 1o (x2-7x).
O The additive inverse is g(x) = –10(x2 – 7x) and the multiplicative inverse is h(x) = 10 (x2 - 7x)
Answer:
The Answer is B
Step-by-step explanation:
Shana and Marie will update parts of their computer system. They will update the motherboard for $259.99, 2 USB
ports for $39.95 each, and the DVD drive for $79.49. Shana will save $12.50 per week and Marie will save $15.50
per week. Which inequality can be used to find w, the number of weeks it will take Shana and Marie to save enough
money for the parts?
Answer:
12.5w = 419.38
and
15.5w = 419.38
Step-by-step explanation:
find the total cost of all the computer parts.
= 259.99 + 2* 39.95 + 79.49 = $419.38
Shana will save $12.50 per week and Marie will save $15.50
per week
therefore we can create two inequalities
Shana:12.50 * w = 419.38
12.5w = 419.38
w = 419.38/12.5
w = 33.5504
Marie15.50*w = 419.38
15.5w = 419.38
w = 419.38/15.5
w =27.0568
There are 40 waffles in a stack, and one of them has a diamond hidden in it. If I
eat a waffle at random, what is the probability I need to go to the dentist after
breakfast?
Fraction:
Decimal:
Percentage:
GUYSS PLS HELP
Answer:
fraction = 2.5/100
decimal = 2.5
percentage = 2.5%
Step-by-step explanation:
100 divided by 40 = 2.5, then impliment 2.5 into the answers
Fraction math work....
Answer:
B
Step-by-step explanation:
1/4=4/16
1/8=2/16
Between these 3/16
Answer:
B 3/16inch
Step-by-step explanation:
i did this in class and it was right
year 8 maths PLS help with coordinate geometry below thank you:)
Answer:
a) 6 units
b) 6 units
c) 10 units
d) 15 units
Answer: a = 6
b = 6
c = 10
d = 15
Step-by-step explanation: Use the distance formula √(x2 - x1)^2 + (y2 - y1)^2
solve each equation
x^2+6x+9=1
Answer:x=-2,-4
Step-by-step explanation:
TIMED QUESTION.
The angles of a triangle are hº, (3h)º, and (h-5)°. What is the value of h?
Answer:
h=37
Step-by-step explanation:
h + 3h + (h-5) =180
5h-5=180
5h=185
divide by 5
1. So far this month Raul calculated that he will ear $40 in commission for his
$280 in product sales. If Raul would like for his commission to be $132, how much
does her need in sales? *
Answer:
Raul needs sales of $924.
Step-by-step explanation:
It looks like Raul earns commission at 1/7 of his sales. (40/280 = 1/7).
[tex]\frac{40}{280}=\frac{132}{x}\\ 40x = 280*132\\x=924[/tex]
1. What are the coordinates of B?
2. What are the coordinates of D?
The graph of a linear relationship is shown. Which equation best represents the relationship between x and y in the graph
Answer:
B. y = -3/4x + 5/2
Step-by-step explanation:
Take two points from the graph, let's use (-2, 4) and (2, 1):
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (1 - 4) / (2 - (-2))
= -3/4
Find y-intercept using slope above and anyone point:
y = mx + b
(1) = -3/4(2) + b
1 = -3/2 + b
b = 1 + 3/2
b = 5/2
Equation of line using m and b above:
y = mx + b
y = -3/4x + 5/2
Answer:
B. y = -3/4x + 5/2
Step-by-step explanation:
B. y = -3/4x + 5/2
Take two points from the graph, let's use (-2, 4) and (2, 1):
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (1 - 4) / (2 - (-2))
= -3/4
Find y-intercept using slope above and anyone point:
y = mx + b
(1) = -3/4(2) + b
1 = -3/2 + b
b = 1 + 3/2
b = 5/2
Equation of line using m and b above:
y = mx + b
y = -3/4x + 5/2
that is why hope it helps
In a board game, negative number cards represent moving backward and positive number cards represent moving forward. For example, Nuha drew a card with 444 and moved forward 444 spaces. Raha draws a card with 000. What does 000 represent in the board game? Choose 1 answer:
Answer:
you do not move forward or backward but instead, remain in the exact position
Step-by-step explanation:
** The numbers are repeated in this question 444 is actually 4 and 000 is actually 0 **
In these board games and in many other concepts zero (0) acts as a neutral value since it is neither a negative nor a positive. In this board game, drawing a card with a value of 0 means that you do not move forward or backward but instead remain in the exact position that you already are. Usually, this also means that your turn is skipped and there is no change in your board piece's/character's status or position in the game
Answer:
stay in the same spot because its 0
Step-by-step explanation:
1. What is the smallest increment
measured on the ruler?
Precision of the ruler=
AB
MAB=
Answer:
1mm
Step-by-step explanation:
Help me pls. Pls do this step by step. I will give he brainliest to the person who does it step by step.
Simplify:
b. x^3 +y^3 - (x + y)^3
Answer:
x^2 - x^3 - 3x^2y - 3xy^2
Step-by-step explanation:
x^3 +y^3 - (x + y)^3
Expand the expression
x^2 + y^3 - (x^3 + 3x^2y + 3xy^2 +y3)
Remove the parentheses
x^2 +y^3 -x^3 -3x^2y -3xy^2 - y^3
Remove the opposites
Answer:
x^2 - x^3 - 3x^2y - 3xy^2
Hope this Helps!
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
6y + 1
Step-by-step explanation:
add like terms
-4+6y+5
add like terms again
6y+1
The band members sold pumpkins in October to raise money for their annual tour. Marcus sold 4 small pumpkins, 2 medium-sized pumpkins, and 8 large pumpkins for $45.20. Shaun sold 7 small, 2 medium, and 5 large pumpkins for $35.45. Jose sold 2 small, 9 medium, and 16 large pumpkins for $93.40.
Answer:
small = 1.25
medium = 2.10
large = 4.50
Step-by-step explanation:
your equations would be
4x+2y+8z=45.2
7x+2y+5z=35.45
2x+9y+16z=93.4
solve using gaussian elimination.
hope this helps, plz vot eme the brainliest :)
The question is in the picture please explain.
Answer:
x = 78
Step-by-step explanation:
Look at Triangle DBH. Two of its angles are known. Let y = <DHB
47 + 31 + y = 180 All triangles have 180 degrees. Combine the left.
78 + y = 180 Subtract 78 from both sides.
78-78+y = 180-78 Combine
y = 102
Notice that y + x = 180 They form a straight line.
102 + x = 180 Subtract 102 from both sides.
x = 78
You should notice that x is an exterior angle. (I didn't at first).
Exterior angles are the sum of the two remote interior angles which in this case, are 31 + 47 = 78
Much shorter and much easier.
What is the measure of angle TGF?
A
28 degrees
B
58 degrees
C
86 degrees
D
94 degrees
Answer:
C
Step-by-step explanation:
Sum of angles in triangle is 180 degrees.
28°+58°+ x= 180 degrees
x=94 degrees
sum of angles on a straight line is 180 degrees
thus, 94 degrees + ? = 180 degrees
?= 86 degrees
angle TGF is 86 degrees
The variables x and y are related proportionally. When x = 4, y = 18. Find y when x = 24. When x = 24, y =
Answer:
when x = 24, y = 108
Step-by-step explanation:
The equation relating x and y is
y = kx ← k is the constant of proportion
To find k use the condition when x = 4 , y = 18, then
18 = 4k ( divide both sides by 4 )
4.5 = k
y = 4.5x ← equation of proportion
When x = 24, then
y = 4.5 × 24 = 108
3)
Simplify:
3^2 x 3^4
Answer:
3^6
Step-by-step explanation:
3^2= 9
3^4= 81
81×9 = 729
So
2+4=6
3^6=729
So 3^6
Answer:
729
Step-by-step explanation:
3^2= 3x3= 9
3^4= 3x3x3x3= 81
81x9=729
4+x = 5x+2. find x. 180 is the total of this equation
Answer:
x=
Step-by-step explanation:
4+x-2=5x+2-2
2+x-x=5x-x
2=4x
2/4
Answer:
x = 45.5
Step-by-step explanation:
Move one side of the equation to the other side of the equal sign.
4 + x = 5x + 2
x = 5x - 2
=4x - 2
Then put the 180 on the empty side because the total is 180.
180 = 4x - 2
Then solve for x
182 = 4x
45.5 = x
