Answer:
B) 37.68 ft
Step-by-step explanation:
The diameter is 12 because the square's side is 12. The circumference is diameter * pi. 12 * 3.14 = 37.68.
Hope I Helped
melissa looks around at a school assembly. she notices her younger sister directly to her right and her older brother 12 meters directly ahead of her if melissa's brother and sister are 13 meters apart how far apart are melissa and her younger sister?
Answer:
It was actually 8
Step-by-step explanation:
I don't actually know why it's 8, I just got it wrong on ixl. So yeah, it's 8
Melissa and her younger sister are 5 meters apart.
Explanation:In this scenario, Melissa's younger sister is directly to her right and her older brother is 12 meters directly ahead of her. Since her brother and sister are 13 meters apart, we can use the Pythagorean theorem to find the distance between Melissa and her younger sister.
Let's call the distance between Melissa and her younger sister 'x'. We can set up a right triangle with Melissa, her brother, and her sister as the vertices.
Using the Pythagorean theorem, we have:
x^2 + 12^2 = 13^2
Simplifying the equation, we get:
x^2 + 144 = 169
x^2 = 169 - 144
x^2 = 25
Taking the square root of both sides, we find:
x = 5
Therefore, Melissa and her younger sister are 5 meters apart.
Describe the transformation
Answer:
transformation of what
Step-by-step explanation:
A table top is in the shape of an equilateral triangle. If the perimeter of the
table top is 255 inches, what is the length of one side of the table?
A. 765 inches
B. 258 inches
C. 252 inches
D. 85 inches
Answer: The correct answer is D: 85 inches
Step-by-step explanation: The figure specified in the question is an equilateral triangle and one of it's properties is that all three sides have equal measurements.
The perimeter simply is a measurement of the lengths that runs around the entire shape. In other words the perimeter of a triangle is given as
Perimeter = 3L
Where L is the length of one side of the triangle.
If the perimeter of the table top is given as 255 inches, then we can now express it more properly as follows
255 = 3L
Divide both sides of the equation by 3
85 = L
Therefore the length of one side of the table measures 85 inches.
Find the inverse of the function. State any restrictions on the domain.
f(x) = x^2 + 9
The function is not invertible if you think of it as
[tex]f:\mathbb{R}\to\mathbb{R}[/tex]
because it is not injective: [tex]f(x)=f(-x)[/tex]
So, if we restrict the domain to the positive numbers only:
[tex]f:\mathbb{R^+}\to\mathbb{R}[/tex]
Note that the range is actually [tex][9,\infty)[/tex], so we can be more precise and write
[tex]f:\mathbb{R^+}\to[9,\infty)[/tex]
To find the inverse, we solve the expression for x:
[tex]y=x^2+9 \iff y-9=x^2 \iff x=\pm\sqrt{y-9}[/tex]
But since we restricted to positive values of x, the inverse is
[tex]x=\sqrt{y-9}[/tex]
To find the inverse of the function f(x) = x² + 9, swap x and y and solve for y. The inverse function is f^(-1)(x) = ± √(x-9), with a domain restricted to x ≥ 9.
To find the inverse of the function f(x) = x^²+ 9, we need to switch the roles of x and y and solve for y. The given function is y = x² + 9. Swap x and y to get x = y² + 9. Rearrange this equation to solve for y in terms of x: y² = x - 9. Taking the square root of both sides gives us y = ± √(x-9). Therefore, the inverse function is f^(-1)(x) = ± √(x-9), and the domain is restricted to x ≥ 9.
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how do you find the perimeter of an equilateral triangle when given area
Step-by-step explanation:
To find perimeter, you need to add all the sides of the shape.
The area of a traingle is 1/2 bh.
You must find the "b" in order to find the perimeter.
Example:
A triangle has an area of 18 cm^2.
Therefore, the triangle has a 6 cm base and 6 cm height.
Then multiply the base by three to get 18 cm. That is your perimeter.
The polygons in each pair are similar.
Find the scale factor of the smaller figure to the larger figure.
A) 8 : 9
B) 2 : 7
C) 1 : 2
D) 3 : 4
It's C) 1 : 2 (not asking, just informing)
Answer:
C) 1 : 2
Step-by-step explanation:
We want to find the scale factor of the smaller figure to the larger figure.
The scat factor is given by:
image length: corresponding object length
This time the smaller shape is the image and the bigger shape is the object:
The scale factor is :
6:12
Divide each term of the ratio by 6 to get:
1:2
What is the equation of the line that passes through the point (-7,4)and has a slope of 0?
Answer:
y = 4
Step-by-step explanation:
Use point slope form: (y - y1) = m(x - x1)
(y - 4) = 0(x - (-7))
y - 4 = 0(x + 7)
y - 4 + 4 = 0 + 4
y = 4
Answer: y = 4
NGO has a collection of dimes and quarters with a total of $3.50. The number of dimes is 7 more than the number of quarters. How many of each coin does he have?
Answer: $24.50
Step-by-step explanation: $3.50 times 7 equals $24.50
Factor X^2-y^2 using snowflake method
Answer:
(x+y)(x-y)
This is just the difference of squares.
The expression [tex]X^2 - y^2[/tex] can be factored using the difference of squares rule, resulting in the Factoring form [tex](X - y)(X + y)[/tex].
The equation you're asking about, [tex]X^2 - y^2[/tex], is an example of a difference of squares, a key concept in algebra. In general, the formula [tex]a² - b²[/tex] can be factored into [tex](a - b) (a + b)[/tex]. So for the expression [tex]X^2 - y^2[/tex], we can apply this rule to factor it into [tex](X - y)(X + y)[/tex].
Here is a step-by-step explanation:
Identify that the equation is in the form of [tex]a²-b²[/tex], where 'a' is X and 'b' is y
Apply the formula to get [tex](X-y)(X+y)[/tex]
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5 and 1/2 divided by 1/4
Answer:
22
Step-by-step explanation:
5 1/2 divided by 1/4 is the same thing as times 4
5 1/2 times 4 equals 22 since 5*4 is 20 and 1/2 times 4 is 2
20+2 equals 22
If Maria arrives 55sec after traveling 110meters how fast was she going
Answer:2meters per second
Step-by-step explanation:
Speed=distance/time
Speed=110/55
Speed=2
Answer:
2 meters/ second
Step-by-step explanation:
2×55=110
Multiply and simplify. Show work to earn full credit. (4 points) (7x-6)(3x^2-4x+5)
Answer:
21x³ - 46x² + 59x - 30
Step-by-step explanation:
21x³ - 28x² + 35x - 18x² + 24x - 30
= 21x³ - 46x² + 59x - 30
Step-by-step explanation:
7x ( 3x^2 - 4x + 5) - 6 ( 3x^2 - 4x +5)
21x^3 - 28x^2 + 35x - 18x^2 + 24x - 30
21x^3 - 46x^2 +59x - 30
George weeded 1/5 of the garden and Summer weeded some too. When they were done 2/3 was left of the garden. How much did Summer weed.
Answer:
Step-by-step explanation:
Step one) Figure our what peace of information you need to find and write down what information you already know.
•George weeded 1/5 of the garden.
•At the end 2/3 of the garden was left, which means that 1/3 of the garden was weeded.
•Now we need to figure out how much Summer weeded.
Step Two) Find the LCM (Lowest common multiple) of 5 and 3.
The LCM of 5 and 3 is 15.
Step three) Change the denominator of both problems to 15. Now the information you have should be:
•George weeded 3/15 of the garden. (We get the 3 on top because we multiplied 5 x 3 to get 15 so we multiply the numerator by 3 as well.)
•At the end there was 10/15 left. (We get the ten on top because the bottom was multiplied 3 x 5 to get 15, so then we take the numerator which is 2 and multiply that by 5 as well.)
•Now we know that if 10/15 weren’t picked that means that 5/15 were picked.
•We still need to figure out the amount that was picked by Summer.
Step 4)
Now we will use all the previous information to do the final step.
If a total of 5/15 were picked, and 3/15 of those were picked by George, then we do the problem:
5-3=2
Answer: Sally picked 2/15.
Test points for the intervals are shown. Select the test points that make the inequality true. x = –15 x = 0 x = 30
Answer: 1 and 3
x = –15
x = 30
Step-by-step explanation:
Answer: A and C
Step-by-step explanation:
trust me bro
What is another way to write x^2 *x^4
Answer:
x^6
Step-by-step explanation:
x^2*x^4=x^(2+4)=x^6
Which is the closest to the height of a giraffe?
Answer:15-20 ft
Step-by-step explanation:
What is the answer to 2(-1)+10
Answer: -8
Step-by-step explanation:
2(-1) +10
Open the bracket
2 x ( -1) + 10; be mindful of the sign, as negative multiplied by positive equals negative
-2 + 10
-8
I hope this helps.
Answer:
8
Step-by-step explanation:
Use PEMDAS: Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction
Step 1: Multiply 2 and -1
2(-1) + 10
-2 + 10
Step 2: Add -2 and 10
-2 + 10
8
Answer: 8
Add 3 to x subtract the result from 1 then double what you have
If you add 3 to x you have [tex]3+x[/tex]
Subtract this from 1: [tex]1-(3+x)=1-3-x=-2-x[/tex]
Double this: [tex]2(-2-x)=-4-2x[/tex]
The required answer is 4 + 2x.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
The given expression is,
Add 3 to x subtract the result from 1 then double
Convert it to the numerical expression,
Add 3 to x = 3 + x
subtract the result from 1 = 3 + x - 1
⇒ subtract the result from 1 = 2 + x
Now double of result = 2(2 + x)
⇒ double of result = 4 + 2x
this is the required solution.
Thus, the required answer is 4 + 2x.
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If 8x - 4 = 6x - 10, find the value of 5x
Answer:
5x= -15(negative)
Step-by-step explanation:
find the value of x (x= -3) add multiply by 5
The price of a video game increases by 20%, then decreases by 10%. If the final price is $46.98,
what was the original price?
Answer:
The original price was $43.50
Step-by-step explanation:
Let
x ----> the original price of a video game
we know that
1) The price of a video game increases by 20%
so
[tex]100\%+20\%=120\%=120/100=1.20[/tex]
The final price is equal to the original price multiplied by 1.20
so
[tex]1.20x[/tex]
2) The price of a video game decreases by 10%
so
[tex]100\%-10\%=90\%=90/100=0.90[/tex]
The final price is equal to the price at this moment multiplied by 0.90
so
[tex]0.90(1.20x)=1.08x[/tex]
we have that
[tex]1.08x=46.98[/tex]
solve for x
[tex]x=46.98/1.08\\x=\$43.50[/tex]
Solve the equation
5x + 8 - 3x = -10
OX= -9
O x = -1
ON=1
O X = 9
Answer:
A. X= -9 hope this helps alot
The requried solution of equation 5x + 8 - 3x = -10 is x = -9. Option A is correct.
We can simplify the equation by combining like terms:
5x + 8 - 3x = -10
2x + 8 = -10
2x = -10 - 8
2x = -18
x = -18/2
x = -9
Therefore, the solution to the equation is x = -9.
Hence, the answer is option (A) x= -9.
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3. Sarah's parents give her a $100.00 allowance at the
beginning of each month. Sarah spends her allowance on
comic books. The graph below represents the amount of
money Sarah spent on comic books last month.
What is the rate of change ?
What does the rate of change represent ?
Answer:
See explanation section
Step-by-step explanation:
Requirement A)
According to the graph, whenever Sarah purchased one comic book, she lost $5 from her allowance. Now the allowance remain after purchasing one comic book = ($100 - 5) = $95
Whenever she purchased three comic books, she lost $5 × 3 = $15 from her allowance. Now the allowance remain after purchasing three comic books = ($100 - 15) = $85. In that way, she lost her $50 after purchasing 10 comic books from her allowance. Therefore, the rate of change is $5.
Requirement B)
It represents that she spent $5 on her each comic book. It also represents that her each book decreases her allowance by $5.
Answer:
a) -5
Step-by-step explanation:
a) slope = (90-100)/(2-0) = -5
b) rate of change represents the deduction in amount left when one more book is purchased.. which is the cost of one book
Which of these strategies would eliminate a variable in the system of equations?
\begin{cases} -7x + 2y = 5 \\\\ 3x - 5y = -5 \end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
−7x+2y=5
3x−5y=−5
The solution for given equations [tex]-7x+2y=5[/tex] and [tex]3x-5y=-5[/tex] are x = -0.517 and y = 0.6896.
Step-by-step explanation:
The given is,
[tex]-7x+2y=5[/tex]..........................(1)
[tex]3x-5y=-5[/tex]........................(2)
Step:1
Equation (1) is multiplied by 5 ( Eqn(1) × 5)
[tex]-35x+10y=25[/tex].........................(3)
Equation (2) is multiplied by -2 ( Eqn (2) × -2 )
[tex]-6x+10y=10[/tex].........................(4)
Step:2
Subtract the equation (3) and (4),
[tex]-35x+10y=25[/tex]
[tex]-6x+10y=10[/tex]
( - )
[tex](-35x+6x)+(10y-10y)=(25-10)[/tex]
[tex]-29x=15[/tex]
[tex]x = - \frac{15}{29}[/tex]
x = -0.517
From the x value equation (2) becomes,
[tex]3(-0.517)-5y=-5[/tex]
[tex]-1.551-5y=-5[/tex]
[tex]-5y = (-5+1.551)[/tex]
[tex]-5y= -3.449[/tex]
[tex]y =\frac{3.449}{5}[/tex]
y = 0.6898
Step:3
Check for solution,
[tex]-7x+2y=5[/tex]..........................(1)
[tex](-7)(-0.517)+(2)(0.6898)=5[/tex]
[tex]3.619+1.3796=5[/tex]
5 = 5
Result:
The solution for given equations [tex]-7x+2y=5[/tex] and [tex]3x-5y=-5[/tex] are x= -0.517 and y = 0.6896.
Find the volume of the cylinder in terms of . The diagrams are not drawn to scale.
43.35pi m cubed
51pi m cubed
56.78pi m cubed
73.695pi m cubed
Answer:
43.35pi m cubed
Step-by-step explanation:
Volume of a cylinder
= pi r^2 h
Where r = radius
h = height
Given r = 1.7m and
h = 15m
Volume = pi x (1.7)^2 x 15
= pi x 1.7 x 1.7 x 15
Multiply through
Volume = 43.35 pi m cubed
Two increased by the product of a number and 9 is greater than or equal to 25.
Answer:
x≥2.56
Step-by-step explanation:
first we can write the inequality
2+9x≥25
we can now solve this with algebra
9x≥23
x≥2.56
one winter, a group of students measured snowfall totals at their school. This chart shows how many inches of snow the students measured each month. How much snowfall did they receive in January and February combined?
December: 3.6
January: 8.6
February: 2.8
To calculate the total snowfall in January and February, we add the snowfall measurements for both months. The total snowfall for January (8.6 inches) and February (2.8 inches) is 11.4 inches.
Explanation:The question involves adding the amounts of snowfall for two different months, which is a basic arithmetic operation covered in mathematics. To find the total snowfall in January and February combined, we simply add the snowfall totals for each month.
According to the given information, there were 8.6 inches of snow in January and 2.8 inches in February.
Total snowfall for January and February combined is 8.6 + 2.8 = 11.4 inches.
If we consider the additional provided information, we can infer that since the schools closed and more than three inches of snowfall triggers a closure, it's reasonable to assume that in at least one of these months the snowfall was above three inches.
0.08 is 1/10 of what number?
Since the answer calls for a decimal, we will convert 1/10 into a decimal, which works out to be 0.1. Now, we multiply 0.1 by 0.08, which results in the decimal place moving one position to the left. Therefore, the answer is *0.008.*
K/6 = 15/18
Solve the proportion
Answer:
k = 5
Step-by-step explanation:
Step 1: Cross multiply
k/6 = 15/18
k(18) = 6(15)
18k = 90
Step 2: Divide both sides by 18
18k / 18 = 90 / 18
k = 5
Answer: k = 5
Another way to do it is to multiply both sides by 6
k/6 * 6 = 15/18 * 6
k = 90 / 18
k = 5
Answer: 5
Step-by-step explanation: To solve for k in the given proportion, we use the means-extremes property. The product of the extremes, (k)(18), equals the product of the means, (6)(15).
So we have (k)(18) or 18k = (6)(15) or 90.
Now we have the equation 18k = 90.
Dividing both sides by 18, k = 5.
It's a good idea to check the answer in these types of problems so if we plug a 5 back in for k in the original proportion, we have [tex]\frac{(5)}{6}= \frac{15}{18}[/tex] which is a true statement since 15/18 reduces to 5/6.
If 12 bagels are 5 dollars then how many bagels can you get for $50
Answer: 120 bagels
Step-by-step explanation:
If it goes from five dollars to fifty dollars you multiply by ten
You must o the same thing to the amount of bagels to get the answer
5 times 10 is 50
12 times 10 is 120
Answer:
120
Step-by-step explanation:
12-5
24-10
36-15
48-20
60-25
72-30
84-35
96-40
108-45
120-50
What is the volume of 8x12x10
Answer:
960
Step-by-step explanation:
You multiply all of the numbers together to get 960
Answer:
v = 960 (units)^3
Step-by-step explanation:
v = lwh
v = 8 * 12 * 10
v = 960 (units)^3