Given:
Quadrilateral ABCD is similar to Quadrilateral WXYZ.
[tex]AB =15,\ WX =25,\ XY =15[/tex] and [tex]YZ =20[/tex].
To find:
The measure of BC.
Solution:
We know that the corresponding sides of similar figures are proportional.
It is given that Quadrilateral ABCD is similar to Quadrilateral WXYZ. It means their corresponding sides are proportional.
[tex]\dfrac{AB}{WX}=\dfrac{BC}{XY}=\dfrac{CD}{YZ}=\dfrac{AD}{WZ}[/tex]
Now,
[tex]\dfrac{AB}{WX}=\dfrac{BC}{XY}[/tex]
After substituting the given values, we get
[tex]\dfrac{15}{25}=\dfrac{BC}{15}[/tex]
[tex]\dfrac{3}{5}=\dfrac{BC}{15}[/tex]
Multiply both sides by 15.
[tex]\dfrac{3}{5}\times 15=\dfrac{BC}{15}\times 15[/tex]
[tex]9=BC[/tex]
Therefore, the measure of BC is 9 units.
What is the median of the data set? 32, 41,43,50,70,73,80,88
Answer:
60
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
1) Find the two middle numbers: 50 and 70.
2) Take the average of both #'s to get your answer: 60.
what are the solutions of the equation x^4+3x^2+2=0? use u substitution to solve
Answer:
x=1, x=-1
Step-by-step explanation:
Answer:
The statement is false for any value of x. ( SEE IMAGE BELOW)
Step-by-step explanation:
Since the left- hand side is always positive, the statement is false for any value of x
Qs =-20+ 3p
Qd = 220- 5p
Answer:
The answer is below
Step-by-step explanation:
What is the equilibrium price and the quantity for the market whose quantity demanded and quantity supplied are given: Qd=220-5P and Qs= -20+3P?]
Solution:
The equilibrium price of a goods is the price at which the quantity of goods supplied is equal to the quantity of goods demanded. The equilibrium price can be determined by the supply and demand curve. The equilibrium price is the price at which the point of intersection of the supply and demand curve.
At equilibrium:
[tex]Q_s=Q_d\\\\-20+3p=220-5p\\\\220+20=3p+5p\\\\8p=240\\\\p=30[/tex]
The equilibrium price is 30.
The equilibrium quantity = 220 - 5p = 220 - 5(30) = 70
10. Fill in the blank to make an equal problem 2,165 + ______ + 1,678 = 6,414
Answer:
2,165 + 2571 + 1,678 = 6,414
Step-by-step explanation:
We can say;
=> 2,165 + unknown number + 1,678 = 6,414
So let's add like terms first;
=> 3,843 + unknown number = 6,414
=> unknown number = 6,414 - 3,843
=> unknown number = 2571
Hope this helps!
Answer:
2571
Step-by-step explanation:
Let x be the blank.
2165 + x + 1678 = 6414
3843 + x = 6414 (combine like terms)
x = 2571
Which figure can be formed from the net?
6 cm
4 cm
4 cm
6 cm
4 cm
4 cm
6 cm
6 cm
Answer:
It's the fourth option, the bottom right one
The last one is the answer to the right. look at the base you can understand it from there, the net that shows from the question is a square base pyramid so that means you have to look for square base and that will give you the correct answer.
Mac traveled to three cities on one highway. The total distance one way was 320 miles. The distance from his original location to the first city was 20 miles more than half the distance from the first city to the second city. The distance from the second city to the third city was 75 miles less than the distance from the first city to the second city. Let x represent the distance from the original location to the first city, y represent the distance from the first city to the second city, and z represent the distance from the second city to the third city. Place the correct sets of column entries in the augmented matrix that models Mac's situation
Answer:
827
Step-by-step explanation:
this is the answer !!
Can someone answer this I’ll give brainliest
Answer:
7/13
Step-by-step explanation:
Arrange the numbers so that the number of girls in year 10 is the numerator, and the total number of girls is the denominator. (140/260) Simplify this by dividing both numbers by 20.
what is equivalent to 4 to the power of 3
Answer:
64
Step-by-step explanation:
because you multiply 4 by it self
A project to build a new bridge seems to be going very well since the project is well ahead of schedule and costs seem to be running very low. A major milestone has been reached where the first two activities have been totally completed and the third activity is 60 percent complete. The planners were expecting to be only 50 percent through the third activity at this time. The first activity involves prepping the site for the bridge. It was expected that this would cost $1,420,000 and it was done for only $1,300,000. The second activity was the pouring of concrete for the bridge. This was expected to cost $10,500,000 but was actually done for $9,000,000. The third and final activity is the actual construction of the bridge superstructure. This was expected to cost a total of $8,500,000. To date they have spent $5,000,000 on the superstructure. Calculate the schedule variance, schedule performance index, and cost performance index for the project to date.
Answer:
Scheduled Variance = $850,000.00
Schedule Performance Index = 1.05
Cost Performance Index = 1.11
Step-by-step explanation:
Note: See the attached excel file for the calculations of Total Actual Cost to Date, Budgeted Cost of Work Scheduled (BCWS), and Budgeted Cost of Work Performed (BCWP).
From the attached excel file, we have:
Total Actual Cost to Date = $15,300,000
Total BCWS = $16,170,000
Total BCWP = $17,020,000
Therefore, we have:
Scheduled Variance = Total BCWP - Total BCWS = $17,020,000 - $16,170,000 = $850,000.00
Schedule Performance Index = Total BCWP / Total BCWS = $17,020,000 / $16,170,000 = 1.05
Cost Variance = Total BCWP - Total actual cost to date = $17,020,000 - $15,300,000 = $1,720,000
Cost Performance Index = Total BCWP / Total actual cost to date = $17,020,000 / $15,300,000 = 1.11
What is the length of a diagonal in the given picture? Round your answer to the nearest whole number. Write the numerical value
I don’t get this one but the question was something about finding the equation.
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Answer:
y = -(x -3)^2 +2
Step-by-step explanation:
The vertex form of the equation for a parabola is ...
y = a(x -h)^2 +k
where the vertex is (h, k) and the value 'a' is a vertical scale factor.
The value of 'a' can be found by looking at the y-value of points ±1 either side of the vertex relative to the vertex. Here, the vertex y-value is +2 at x=3, and either side goes down 1 unit (to y=1) for 1 unit to the right or left. So, a = -1.
Using the values we've read from the graph for the vertex (h, k) = (3, 2) and the scale factor a = -1, we can write the equation as ...
y = -(x -3)^2 +2
At the beginning of the week, Josh had 323232 computer games, 133\33, percent as many computer games as Peter had. By the end of the week, Josh gave 25\%%, percent of his computer games to Peter. How many computer games did Josh and Peter each have by the end of the week
Answer:
[tex]Josh =24[/tex]
[tex]Peter = 32[/tex]
Step-by-step explanation:
Given
Beginning of Week
[tex]Josh = 32[/tex]
[tex]Josh = 133\% * Peter[/tex]
First, we calculate the amount Peter has at the beginning of the week
[tex]Josh = 133\% * Peter[/tex]
Make Peter the subject
[tex]Peter = \frac{Josh}{133\%}[/tex]
[tex]Peter = \frac{32}{133\%}[/tex]
[tex]Peter = \frac{32}{1.33}[/tex]
[tex]Peter = 24[/tex]
When Josh gave out 25%.
The number (n) of computers is:
[tex]n = Josh * 25\%[/tex]
[tex]n = 32 * 25\%[/tex]
[tex]n = 8[/tex]
This means that Josh gave out 8 computers.
So, the amount they both have is:
[tex]Josh =32 - 8[/tex]
[tex]Josh =24[/tex]
[tex]Peter = 24+8[/tex]
[tex]Peter = 32[/tex]
differentiate y=x⁴(1-2x⁵)⁶(5-8x³)².
Step-by-step explanation:
Let [tex]y(x)=f(x)g(x)h(x)[/tex] where
[tex]f(x) = x^4[/tex]
[tex]g(x)= (1 -2x^5)^6[/tex]
[tex]h(x)= (5 - 8x^3)^2[/tex]
so that
[tex]y(x) = x^4(1 -2x^5)^6(5 - 8x^3)^2[/tex]
Recall that the derivative of the product of functions is
[tex]y'(x)=f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)[/tex]
so taking the derivatives of the individual functions, we get
[tex]f'(x) = 4x^3[/tex]
[tex]g'(x) = 6(1 - 2x^5)^5(-10x^4)[/tex]
[tex]h'(x) = 2(5 - 8x^3)(-24x^2)[/tex]
So the derivative of y(x) is given by
[tex]y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2 + x^4 6(1 -2x^5)^5(-10x^4)(5 - 8x^3)^2 + x^4(1 -2x^5)^6 2(5 - 8x^3)(-24x^2)[/tex]
or
[tex]y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2[/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 60x^8(1 -2x^5)^5(5 - 8x^3)^2[/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 48x^6(1 -2x^5)^6 2(5 - 8x^3)[/tex]
The atmosphere of a certain planet is made up of many
elements. What part of the atmosphere is made up of Element
2?
I’ll make you a brilliant answer plsss help
Joe has 23 carnival ride tickets and it takes 3 tickets to ride the roller coaster how many times can he ride the coaster how many tickets will he have left over
Answer:
JIKA ANDA YANG
Step-by-step explanation:
yang bales anak yang
[tex]5 { \frac{3 \frac{ + > }{?} }{?} }^{?} [/tex]
Answer:
20
Step-by-step explanation:
He has 23 carnival ride tickets and it takes 3 tickets to ride a roller coaster
so 23 - 3 = 20
A number - _______ = previous number
Answer:
1
Step-by-step explanation:
When we substract 1 from any number then will get just previous number.
Example :
Let any number 17
17-1 =16
16 is the just previous number of 17
Therefore, A number -1 = previous number
Answer will be 1
HELP ASAP 35 POINTS
Answer:
Given function:
y = -x² + 6Fill in the table by substituting the value of x:
x = 0 ⇒ y = - 0² + 6 = 6x = 1 ⇒ y = - 1² + 6 = 5x = -1 ⇒ y = -(-1)² + 6 = 5x = 2 ⇒ y = -2² + 6 = 2x = -2 ⇒ y = -(-2)² + 6 = 2The graph is attached
Which statement describes the solution set of function f? f(x)= 3x^2 - 4x - 2
Answer:
Vertex form
( 2 /3 , − 10 /3 )
x and y intercepts
Y intercept ( 2 + √ 10 /3 , 0 ) , ( 2 − √ 10/ 3 , 0 )
X intercept ( 0 , − 2 )
Step-by-step explanation:
The correct statement that describes the solution set of the function f is Two real solutions. So, correct option is C.
To determine the solution set of the function f(x) = 3x² - 4x - 2, we can consider the nature of the solutions by examining the discriminant of the quadratic equation.
The discriminant, denoted as Δ, is calculated as b² - 4ac, where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.
In this case, the quadratic equation is 3x² - 4x - 2 = 0. Comparing it to the general form, we have a = 3, b = -4, and c = -2.
The discriminant is given by Δ = (-4)² - 4(3)(-2) = 16 + 24 = 40.
Based on the value of the discriminant (Δ = 40), we can determine the nature of the solutions:
If Δ > 0, there are two distinct real solutions.
If Δ = 0, there is one real solution.
If Δ < 0, there are two complex solutions.
Since Δ = 40, which is greater than 0, the correct statement that describes the solution set of the function f is:
C- Two real solutions.
To learn more about function click on,
https://brainly.com/question/29046119
#SPJ2
Complete question is:
Which statement describes the solution set of function f? f(x) = 3x² - 4x - 2
A- One real solution and one complex solution
B- Two complex solutions
C- Two real solutions
D- One real solution
What Is the length or segment of XY?
Answer choices are
4.5
6.70
9
7.28
What is the probability of the spinner landing on 1 or 3
Answer:
Assuming there are 3 possibilities for the spinner, the answer is [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Mark buys a used car for $12,000. The value of the car depreciates 10% per year from the time he bought the car.
The value of Mark's car, V(t), can be represented by which of the following functions?
V(t) = –0.90t + 12,000
V(t) = –0.10t + 12,000
V(t) = 12,000(0.10)t
V(t) = 12,000(0.90)t
Answer:
option D
Step-by-step explanation:
r = 10% = 0.10
[tex]v(t) = P (1 - r)^t\\\\V(t) = 12000(1 - 0.10)^t\\\\V(t) = 12000\times (0.9)^t[/tex]
A public health organization reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds. A sample of 15 babies is studied. Round the answers to three decimal places. Part 1 of 4 (a) What is the probability that exactly 5 of them weigh more than 20 pounds
Answer:
0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.
Step-by-step explanation:
For each baby, there are only two possible outcomes. Either they weigh more than 20 pounds, or they do not. The probability of a baby weighing more than 20 pounds is independent of any other baby, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A public health organization reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds.
This means that [tex]p = 0.3[/tex]
A sample of 15 babies is studied.
This means that [tex]n = 15[/tex]
What is the probability that exactly 5 of them weigh more than 20 pounds
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{15,5}.(0.3)^{5}.(0.7)^{10} = 0.206[/tex]
0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.
In order to safely land, the angle that a plane approaches the runway should be no more than 15°. A plane is approaching Ottawa Macdonald–Cartier International Airport to land. It is at an altitude of 500 m and a horizontal distance of 3 km from the start of the runway. At what angle is the plane approaching and is it safe for the plane to land?
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Answer:
9.5°, yes
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
The distance opposite the angle of elevation is the plane's height, 500 m. The distance adjacent to the angle of elevation is the horizontal distance to the plane, 3 km = 3000 m. Then the angle is found from ...
tan(α) = 500/3000 = 1/6
α = arctan(1/6) ≈ 9.46°
The plane is approaching at an angle of 9.46°. It is safe to land, since that angle is less than 15°.
_____
Additional comment
The usual descent angle for most commercial air traffic is 3°. Some airport geography demands it be different (steeper). A higher descent angle can put undue stress on the landing gear.
hkiojhguyhvjln kiuhbjv hgvytcf gv
Answer:we had in dog C criminal seyyyyy and hbu have a dog in a car accident in a dog and he got to the house to go back and he said
Step-by-step explanation:
Please check my function,
Tell my function right or not, And if not please tell me how to correct
Answer:
yes, i think it is correct :)
Step-by-step explanation:
does anyone know the answer?
Answer:
is it correct please tell
-2.666
A researcher is concerned that graduate students get less than the recommended 8 hours of sleep a night. She selects a random sample of 45 students at a local university and asks them how much sleep they get on a typical night.
Answer:
H0 : μ = 8
H1 : μ < 8
Test statistic = - 7.51
conclude that there is statistical significance that student at the school get less than 8 hours of sleep on average.
Step-by-step explanation:
The hypothesis :
H0 : μ = 8
H1 : μ < 8
The test statistic :
(xbar - μ) ÷ (s/√(n))
Sample data :
1.75, 2, 2.25, 2.25, 2.5, 3, 3.5, 3.5, 3.5, 3.75, 4, 4.25, 4.5, 4.5, 4.5, 4.75, 5.25, 5.5, 5.75, 5.75, 5.75, 6, 6, 6, 6.25, 6.25, 6.25, 6.5, 6.5, 6.5, 6.75, 7, 7, 7, 7.5, 7.5, 7.75, 8, 8.25, 8.25, 8.25, 8.5, 8.75, 9, 9
Using calculator :
Sample mean, xbar = 5.71666
Sample standard deviation, s = 2.04
The test statistic :
(5.7166 - 8) ÷ (2.04/√(45))
-2.28 / 0.3041052
= - 7.5085
= - 7.51
Degree of freedom = 45 - 1 = 44
Pvalue(-7.51, 44) = 0.00001
α = 1% = 0.01
Since Pvalue < α ; we reject H0 and conclude that there is statistical significance that student at the school get less than 8 hours of sleep on average.
Help me solve this please !
Answer:
The answer is D, 14. This is because those bars are asking for absolute value, meaning you simply change any negative to a positive and give its value in general instead of as a negative or positive
Julio wants to purchase a truck. The purchase price of the truck is $ 38 , 000.00 The dealership will allow him to pay cash or finance the truck for a down payment of $ 5 , 000.00 and 60 monthly payments of $ 750.00. Julio chooses to finance the truck. Answer the following questions. a) What is the amount financed? b) What is the total amount of monthly payments? c} What is the amount of the finance charge?
Answer:
1000000 kexvixevixev84fvi4fddeyhxe
Do 8feet + 10feet + 12feet make a right triangle
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Answer:
no
Step-by-step explanation:
If triangle side lengths are an arithmetic sequence (have a common difference), they must have the ratios 3:4:5 to make a right triangle. Here, the ratios of the side lengths are 4:5:6, so will not be a right triangle.
