What is AD? There is no picture...
Final answer:
The length of AD is calculated using the given formula, which is a proportion involving the length of AC and the variables a, c, and d. One must plug in the values for these variables and solve the equation to find the length of AD.
Explanation:
To find the length of AD, we use the given formula which indicates a proportional relationship between the lengths on a line segment. The formula involves variables that define the lengths of specific segments of the line, as well as the ratios between them. In this case, the formula is (Length AD) = (Length AC) × (a-d)/(a-c). Here's a step-by-step explanation:
Identify the length of AC. This is the distance between points A and C.Determine the values of a, c, and d. These values are typically provided or can be calculated based on additional information about the geometric configuration.Substitute the values into the formula and calculate the length of AD.This formula can be used to calculate the length of a line segment extending beyond the segment AC or that lies between points A and C, depending on the values of the variables involved.
Find the measure of each interior angle of a regular convex dodecagon. Show equations and all work that leads to your answer.
The exterior angles to any convex polygon sum to 360 degrees in measure, so that for a regular dodecagon (12-gon) each exterior angle has measure
[tex]\dfrac{360^\circ}{12}=30^\circ[/tex]
Exterior angles are complementary to interior angles, which means each interior angle has measure
[tex]180^\circ-30^\circ=\boxed{150^\circ}[/tex]
Solve the equation for x: c a−x/x−a =5x Answer: , a ≠ − 1/5
Answer:
[tex]\large\boxed{x=-\dfrac{1}{5}}[/tex]
Step-by-step explanation:
[tex]\dfrac{a-x}{x-a}=5x\\\\\dfrac{(a-x)}{-(a-x)}=5x\qquad\text{cancel}\ (a-x)\\\\-1=5x\qquad\text{divide both sides by 5}\\\\-\dfrac{1}{5}=\dfrac{5x}{5}\to\boxed{x=-\dfrac{1}{5}}[/tex]
10 points help due tomarrow
Answer:
[tex]\boxed{0.2}[/tex]
Step-by-step explanation:
Convert [tex]\dfrac{12}{60}[/tex] to a decimal
Step 1. Reduce the fraction to its lowest terms.
Divide both numerator and denominator by their greatest common factor (12)
[tex]\dfrac{12}{60} =\dfrac{1}{5}[/tex]
Step 2. Convert the denominator to a power of 10
Multiply both numerator and denominator by 2.
[tex]\dfrac{1}{5} \times \dfrac{2}{2} = \dfrac{2}{10}[/tex]
Step 3. Divide the numerator by the denominator
Dividing by 10 moves the decimal point one place to the left.
[tex]\dfrac{2}{10} = \boxed{0.2}[/tex]
y is two times the value of x
The equation is y=
Y=2x should be correct
Y is two times the value of X, which can be represented as Y = 2X.
This indicates a directly proportional relationship between Y and X, where Y increases as X increases.
A moving person travels 24 feet in 7 seconds.The moving sidewalk has a length of 180 feet.how long will it talk to move from one end of the sidewalk to the other
Answer:
=53 seconds.
Step-by-step explanation:
24ft=7sec
180
180 x 7
_______=52.5=53
24
the art museum charges $13 for each adult admission and $8 for each child the total bill for the 182 people from a achool trip was $1606 how many adults and children went to the museum?
Answer:
152 kids and 30 adults
Step-by-step explanation:
To solve this, we must create a system of equations
Suppose:
x = the number of adults
y = the number of children
We know that a total of 182 people attended the trip.
So:
x + y = 182
This equation represents the number of people attending the trip.
To find out the cost, look at the problem.
It costs 13$ for one adult and 8$ for a child.
So:
13x + 8y = 1606
This equation represents the total cost to attend the museum. Now, we must solve.
[There are two ways to solve a system of equations, substitution and adding/subtracting. I will use adding and subtracting. The steps to solving the system of equations is in the photos below]
The final answer is 152 kids and 30 adults
I hope this helps!!! :)
What is the simplified
square root of 130??
I’m really stuck
Answer:
The square root of 130 would be 11.4017543. Rounding to the nearest tenth, we would get 11.4, because the value 0 is below 5. Rounding 11.4 to the nearest whole number, we would get 11, because the value 4 is below 5. So either 11 or 11.4 works, depending on if you are looking for a decimal or a whole number.
Hope this helps ya :D
Final answer:
The simplified square root of 130 is √130 and cannot be further simplified using integers as 130 does not have pairs of identical prime factors.
Explanation:
The question asks for the simplified form of the square root of 130. To simplify a square root, you want to factor the number under the square root into its prime factors and look for pairs of identical factors, because the square root of a pair of identical factors is just that number. In this case, 130 = 2 x 5 x 13, and since there are no pairs of identical factors, we cannot simplify it further without using a decimal or fractional answer. Therefore, the simplified square root of 130 is √130, which cannot be further simplified using integers.
Footware manufacturing is projected to decrease output by 8.4% from 2006 to 2016. If footware manufacturing had 1.8 billion dollars of output in 2006, approximately how much output is expected in 2016?
Answer:
The output expected in 2016 is 1.6488 x 10 ^9 or 1.6488 billion
Step-by-step explanation:
The output is decreased by 8.4% from 2006 to 2016.
Amount of output in 2006 = 1.8 billion dollars
Decrease in output = 8.4%
We need to find the 8.4% of 1.8 billion dollars and then subtract the result from 1 billion dollars.
We know 1.8 billion = 1,800,000,000 or 1.8 x 10^9
8.4% of 1.8 billion = 8.4/100 * (1.8 x 10^9)
= 151200000
So, Output expected in 2016 = 1.8 x 10^9 - 151200000
= 1648800000 or 1.6488 x 10 ^9
So, the output expected in 2016 is 1.6488 x 10 ^9 or 1.6488 billion.
Answer:
It would be D
Step-by-step explanation:
$1.65 billion
I know the answer but I need to understand HOW to get it. Bailey will roll a number cube and flip a coin for a probability experiment. The faces of the cube are labeled 1-6. The coin can land on heads or tails.If Bailey rolls the number cube once and flips the coin once which list contains only the outcomes in which the number cube lands on a number greater than 4.
The right answer was a list with says:
5, Heads
5, Tails
6, Heads
6, Tails
Answer:
Total output= H5, H6,T5, T6
Step-by-step explanation:
Bailey will roll a number cube and flip a coin for a probability experiment.
The faces of the cube are labeled 1-6= 6 possible outcomes
The coin can land on heads or tails= 2 possible outcomes
If Bailey rolls the number cube once= 1 output
and flips the coin once = 1 output
Total output will be combined outcome of cube and coin:
possible outcome of cube= 1, 2, 3 , 4 , 5, 6
possible outcome of coin= H, T
(H for heads and T for tails)
Total output =possible combined outcome of cube and coin= H1, H2, H3 , H4 , H5, H6, T1, T2, T3 , T4 , T5, T6
Now
the outcomes in which the number cube lands on a number greater than :
reduces the total required output by removing the combination when the number cube lands on a number less than or equals to 4
therefore removing H1, H2, H3 , H4 and T1, T2, T3 , T4 from the total outcome will result in following list:
Total output= H5, H6,T5, T6 i.e.
5, Heads
5, Tails
6, Heads
6, Tails !
What is the smallest prime factor of 1821?
Answer: 3×607
Step-by-step explanation:
Prime factor is a number that can be divided by itself and 1 to get the quotient 0. so according to 1821 this can be divided by 1 and 3 to get a 0 quotient so because 1(unique number ) is not considered as a prime factor 3 is the answer for this question.
Please answer right away
Answer:
0.42
Step-by-step explanation:
There are 12 different paths to the end. Five of those paths lead to money.
p(winning money) = 5/12 = 0.42
What are the solutions of the equation 4x+21=−(13)x+4+6 ?
Answer is -11/17.
I've attached an image to show you how I got this answer.
11/17 THERE YOU GO YOU ARE WELCOME
What is the value of X?
These angles are vertical angles meaning that they are equal to each other. Here is the equation for this problem:
x + 40 = 3x
Combine like terms
(x-x) + 40 = 3x - x
40 = 2x
Isolate x
40/2 = 2x/2
x = 20
Hope this helped!
I need help please?!!!!!):
The mean is the average, add the numbers together and divide by the quantity of numbers:
10 + 12 + 15 + 12 + 13 + 11 + 10 + 13 = 96
96 / 8 = 12
The mean is 12
The median is the middle value.
Rearrange the numbers from smallest to largest:
10 , 10 , 11 , 12 , 12 , 13 , 13 , 15
There are an even amount of numbers, so find the middle two values, add together and divide by 2:
12 + 12 = 24 /2
Median = 12
In a circle with a 12-inch radius, find the length of a segment joining the mid-point of a 20 inch cord and the center of the circle
Check the picture below.
If. F(x) =-3x2-2 and g(x)=4x+2 what is value of (f+g)(2)
Answer:
[tex](f + g) (2) = -4[/tex]
Step-by-step explanation:
We have the functions
[tex]F(x) =-3x^2-2[/tex]
And
[tex]g(x)=4x+2[/tex]
We want to find [tex](f + g) (x)[/tex]
Then
[tex](f+g)(x) = f(x) + g(x)\\\\(f+g)(x) = -3x^2-2 + 4x+2\\\\(f+g)(x)= -3x^2 +4x[/tex]
finally we find [tex](f + g) (2)[/tex]
[tex](f + g) (2) = -3(2)^2 + 4(2)\\\\(f + g) (2) = -3*4 + 8\\\\(f + g) (2) = -12+ 8\\\\(f + g) (2) = -4[/tex]
Answer:
(f+g)2 = 20
Step-by-step explanation:
18. if F(x) =-3x2-2 and g(x)=4x+2 what is value of (f+g)(2)?
We know, (f+g)2= f(2) + g(2)
We will put 2 in the place of x for f(x) and g(x) and then find their result.
Solving:
(f+g)2= f(2) + g(2)
=3(2)^2 -2 + 4(2) +2
= 3(4) -2 + 8 +2
= 12 -2 +8 +2
= 20
So, (f+g)2 = 20
Please do help I'm very confused
Answer: 1,760 centimeters
Step-by-step explanation: Your Answer is above
What is the value of f(15) for the given function? What does this value mean in the context of the situation you described in part a?
Answer:
[tex]f(15)=525\ ft^{2}[/tex]
f(15) is the area of the rectangular garden for a width of 15 ft
Step-by-step explanation:
we know that
[tex]f(x)=x(2x+5)[/tex]
where
x----> is the width of the rectangular garden
(2x+5) ----> is the length of the rectangular garden
so
f(15) -----> is the value of f(x) for x=15 ft
That means
f(15) is the area of the rectangular garden for a width of 15 ft
substitute the value of x and solve
[tex]f(15)=15(2(15)+5)[/tex]
[tex]f(15)=525\ ft^{2}[/tex]
Answer:f(15) is the area of the rectangular garden for a width of 15 ft
Step-by-step explanation:
we know that
where
x----> is the width of the rectangular garden
(2x+5) ----> is the length of the rectangular garden
so
f(15) -----> is the value of f(x) for x=15 ft
That means
f(15) is the area of the rectangular garden for a width of 15 ft
substitute the value of x and solve
Step-by-step explanation:
Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. What is the solution to the system?
Answer:
Infinitely many solution
Step-by-step explanation:
The given equations are:
y = 3x + 2
3y = 9x + 6
We graph the two equations as shown in the attachment.
We can see that the second equation is lying on top of the first one.
This means that, they have infinitely many solutions.
Answer:
The provided system of equations have infinitely many solutions.
Step-by-step explanation:
Consider the provided system of equations:
y = 3x + 2 and 3y = 9x + 6
Now use the graphing technology in order to draw the graph of the equations.
The graph of the provided system of equations is shown in figure 1:
As it can be observed that the second equation is lying on top of the first one.
Therefore, they have infinitely many solutions.
Jerry has 61 percent on khan. She needs to get 100 percent in one week. How much percent should she get each night to reach her goal of 100%??????????.
Answer:
She would need to complete 5.57 each noght to reach her goal of 100%.
Step-by-step explanation:
39/7 is equal to 5.57
How do you do this?
Express the area of a rectangle with length 5m4 and width 6m2 as a monomial
To express the area of a rectangle as a monomial, multiply the length and width. This gives 30m6.
Explanation:The area of a rectangle is calculated by multiplying its length and width. For a rectangle with length 5m4 and width 6m2, to express the area as a monomial, you multiply these two together. So, the area A = 5m4 * 6m2.
In terms of exponents, when we multiply terms with the same base (in this case, m), we add up the exponents. Thus, A = 30m4+2 = 30m6. Therefore, the area of the rectangle expressed as a monomial is 30m6.
Learn more about Monomial here:https://brainly.com/question/9183135
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Can someone please help me with this question please.
Step-by-step explanation:
[tex](a)\\h-\text{number of hours}\\\\8\dfrac{1}{5}\cdot h=32\dfrac{4}{5}\\(b)\\\text{convert the mixed numbers to the improper fractions}\\\\\dfrac{8\cdot5+1}{5}h=\dfrac{32\cdot5+4}{5}\\\\\dfrac{41}{5}h=\dfrac{164}{5}\qquad\text{multiply both sides by 5}\\\\41h=164\qquad\text{divide both sides by 41}\\\\h=4[/tex]
[tex]\text{Answer:\ 4\ hours}[/tex]
If the area of BAC=8, what is the area of EDF. Enter a decimal rounded to the tenths.
PLEASE NEED HELP
Answer:
4.5 in²
Step-by-step explanation:
Given that the triangles are similar then
linear ratio of corresponding sides = 3 : 4, then
ratio of corresponding areas = 3² : 4² = 9 : 16
let the area of ΔEDF be x then by proportion
[tex]\frac{x}{9}[/tex] = [tex]\frac{8}{16}[/tex] ( cross- multiply )
16x = 72 ( divide both sides by 16 )
x = 72 ÷ 16 = 4.5
Area of ΔEDF = 4.5 in²
618 runners registered for the marathon. Of these runners 0.8% completed the race in under 2 hr 15 min. a) how many runners completed the race in this time?
EXPLAIN HOW TO SOLVE THIS
Answer:
Exact = 4.944 Rounded = about 5 Reality = 4 since there can’t be 99.4% of an human.
Step-by-step explanation:
0.8/100 = x/618
618(0.8) = 100x
494.4 = 100x
/100. /100
x = 4.944
The number of runners that completed the race in under 2 hr 15 min will be 5 approximately.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
618 runners registered for the marathon. Of these runners, 0.8% completed the race in under 2 hr 15 min.
Let "N" be the number of runners who completed the race. Then the equation is given as,
0.8% = (N / 618) x 100
0.008 = N / 618
N = 0.008 x 618
N = 4.944
N ≈ 5
The number of runners that completed the race in under 2 hr 15 min will be 5 approximately.
More about the percentage link is given below.
https://brainly.com/question/8011401
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which statements are true about the ordered pair (-1,5) and the system of equations x+y=4 x-y=-6
Answer:
A) x+y=4
B) x-y=-6
We add both equations and get
2x = -2 so x = -1
and y = 5
So the ordered pair (-1, 5) is the solution to the equations.
Step-by-step explanation:
find the first five terms of a1=1/3 and d=1/2
Answer:
1/3, 5/6, 4/3, 11/6, 7/3.
Step-by-step explanation:
This is an arithmetic sequence where you add 1/2 to each term to get the next one.
a1 = 1/3 so a2 = 1/3 + 1/2 = 5/6, and a3 = 5/6 + 1/2 = 4/3.
The first 5 terms are:
1/3, 5/6, 4/3, 11/6, 7/3.
Which function is the inverse of (x) = -5x-42
Answer:
f-1(x) = (-1/5)x - 42/5
Step-by-step explanation:
f(x) = -5x - 42
Switch the x and y
x = -5y - 42
solve for y
-5y = x + 42
y = (-1/5)x - 42/5
How do I solve this?
Check the picture below.
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 m³. What is the volume of the sphere? 6 m² 7 m³ 14 m³ 28 m³
Answer: Third option
[tex]V_s=14\ m^3[/tex]
Step-by-step explanation:
The volume of a sphere is:
[tex]V_s=\frac{4}{3}\pi r^3[/tex]
Where r is the radius of the sphere
The volume of a cylinder is:
[tex]V_c = \pi r ^ 2 h[/tex]
Where h is the height of the cylinder and r is the radius
We assume that the height of the sphere is its diameter or 2 times its radius.
Then [tex]2r = h[/tex]
[tex]V_c= 21\ m^3=\pi r ^ 2 h[/tex]
[tex]V_c= 21\ m^3=\pi r ^ 2(2r)[/tex]
We solve the equation for r
[tex]\frac{21}{2\pi}=r ^ 3\\\\r= \sqrt[3]{\frac{21}{2\pi}}\\\\r=1.495\ m[/tex]
The radius of the cylinder is equal to the radius of the sphere
Finally
[tex]V_s=\frac{4}{3}\pi (1.495)^3[/tex]
[tex]V_s=14\ m^3[/tex]
A car cost $20,000 when it was purchased. The value of the car decreases by 8% each year. Find the rate of decay each month and select the correct answer below. −0.006924% −0.006667% −0.666667% −0.0081%
To find the monthly rate of decay, we convert the annual decay rate of 8% to a monthly rate using the formula for compound interest. The monthly rate comes out to be approximately -0.6734%, which is closest to the provided option of -0.667%.
To find the monthly rate of decay for a car that depreciates 8% annually, we should convert the annual decay rate to a monthly decay rate assuming compound interest. This calculation involves using the formula for converting an annual percentage rate to a monthly rate when compounded monthly:
Monthly rate = [tex](1 + Annual rate)^(1/12)[/tex] - 1
Substitute the given annual rate of decay (-0.08 or -8%) into the formula:
Monthly rate = [tex](1 - 0.08)^(1/12)[/tex] - 1
This calculation gives us:
Monthly rate = [tex](0.92)^(1/12)[/tex] - 1
Approximately -0.006734
Expressed as a percentage, the monthly rate of decay is approximately -0.6734%, which means the correct answer is not exactly presented in the choices. However, the closest value from the options provided is -0.667%.