Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12 cm and is the longest side of ABC. Side DE measures 8 cm and is the longest side of DEF.
a)Triangle ABC is a scaled copy of triangle DEF with what scale factor?
b)Triangle DEF is a scaled copy of triangle ABC with what scale factor?
Answer:
a) 3/2 or 1.5
b) 2/3 or ≈.66
Step-by-step explanation:
AB corresponds to DE because they are both the longest sides of their respective triangles.
a) The scale factor would be what you would multiply 8 by to get 12. 12/8 is 3/2 or 1.5
b) The scale factor would be what you multiply 12 by to get 8. 8/12 is 2/3 or ≈.66
The total cost of production of spare parts of computer is given as C=4000x-100x²+x³ where x is the number of units of spare parts produced so that the average cost will be maximum?
Answer: 50
Step-by-step explanation:
Ok, we have the equation:
C=4000x-100x²+x³
Notice that the leading coefficient in this equation is positive, this means that as the value of x increases, also will the value of C.
Then we will not have a maximum, because as x →∞, C(x) →∞.
By doing an online search i found this same question, but with the change that we want to find x such that the average cost is minimum (this makes more sense).
Then let's do that:
The total cost for making x pieces is:
C(x) = 4000x-100x²+x³
Then the average cost, or the cost per piece, will be:
F(x) = C(x)/x = 4000 - 100*x + x^2
Notice that F(x) is a quadratic function with a positive leading coefficient, then the arms of the quadratic function will open upwards, this means that the minimum will be at the vertex.
To find the minimum, we must look at the zeros of the first derivation of F(x):
F'(x) = dF(x)/dx = -100 + 2*x
The zero is when:
F'(x) = 0 = -100 + 2*x
100/2 = x
50 = x
Then the number of x that minimizes the average cost is x = 50.
need some help please
Answer:
Dan
Step-by-step explanation:
To figure out who ate the most, you can convert each fraction to decimal form. Whichever value is the largest belongs to the person who ate the most of a Snickers.
6/7 = 0.86
3/4 = 0.75
0.86 is bigger than 0.75, which means that Dan ate more of a Snickers.
Find the value of x that will make A||B.
А
B
4x
2x
x = [?]
Answer:
x = 30Step-by-step explanation:
4x + 2x = 180
6x = 180
x = 30
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 54 ounces and a standard deviation of 10 ounces. a) 68% of the widget weights lie between and b) What percentage of the widget weights lie between 24 and 64 ounces? % c) What percentage of the widget weights lie below 74 ? %
Answer:
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 62 ounces and a standard deviation of 6 ounces. Use the Empirical Rule.
Step-by-step explanation:
Follow me.........
i need help, i don't get this problem
Emile paid $3.96 for 4 songs.
What is the unit rate and what does it mean?
Enter your answers in the boxes.
Answer:
$0.99
Unit rate is cost for 1 individual (song)
Step-by-step explanation:
$3.96/4
0.99
99 cents
A package of 6 pairs of insulated gloves cost 32.94. What is the unit price of the pairs of socks
Answer:
$5.49 each
Step-by-step explanation:
32.94 divided by 6
Need this ASAP
What is the constant of proportionality in the equationy=2x
Answer:
2
Step-by-step explanation:
[tex]y = 2x \\ \\ \frac{y}{x} = 2 \\ equating \: it \: with \: \\ \frac{y}{x} = k \\ \\ k = 2 \\ \\ [/tex]
Hence, constant of proportionality = 2
whats 2+2 super ez giving brainliest to correct 1
Answer:
4
Step-by-step explanation:
...........................
100000x559977332955 :)))))))))
Answer:
5.5997733e+16
Answer:
gsgdhxhdhhdbxbcbb ;)
Step-by-step explanation:
idkjwhdhdhhchchffh
Write the ratio in fractional notation in lowest terms. 28 inches to 42 inches
28 to 42 means 28/42
We now reduce 28/42 to lowest terms.
28 ÷ 7 = 4
42 ÷ 7 = 6
We now have 4/6.
We now reduce 4/6.
4 ÷ 2 = 2
6 ÷ 2 = 3
Final answer: 2/3
Express x ⩽ −5 or x ⩾ −1 in the form ∣x+a∣ ⩾ b
Answer:
[tex]\mid x+3\mid\ge 2[/tex]
Step-by-step explanation:
Inequalities
The solution for the inequality:
[tex]\mid x+a\mid\ge b[/tex]
Can be expressed as:
[tex]x+a\ge b[/tex]
OR:
[tex]x+a\le -b[/tex]
Subtracting a to both inequalities:
[tex]x\ge b-a[/tex]
[tex]x\le -b-a[/tex]
Comparing to the given solutions, we have:
[tex]b-a=-1[/tex]
[tex]-b-a=-5[/tex]
Adding both equations:
[tex]-2a=-6[/tex]
Solving:
a=3
b=2
Thus, the required inequality form is:
[tex]\mathbf{\mid x+3\mid\ge 2}[/tex]
To divide 2/3 divided by 5 first shade the diagram to represent the dividend.
Answer:
heb he hrhrjejenennsksksskskkskskjsjjee
Please answer this correctly without making mistakes
Answer:
The 2-yard pièce of cotton cloth for $13.26
Step-by-step explanation:
2 yards is 6 feet then it would be $2.21 per foot.
The 17 foot piece would cost $3.29 per foot.
To answer this question, you need to determine which one has a lower price per unit. In this scenario, you must divide the price of the cloths by their length in feet.
For the 2-yard piece of cotton cloth, first convert the length to feet. There are three feet in a yard, so the cloth is 6 feet. Then divide:
13.26/6=2.21
For the 17-foot piece of cotton cloth, simply divide:
55.93/17=3.29
The 2-yard piece of cotton cloth for $13.26 is the better buy because it has a lower unit price.
Hope this helps!!
Find the volume of the cylinder 9 cm and 23 cm 
A gym membership went from 8700 to 6400. What expression equals the percent of change?
Answer:
(6400-8700)/(8700)*100
Step-by-step explanation:
percent of change = (new value - old value)/(old value) * 100
percent of change = (6400 - 8700)/(8700) * 100
Solve the equation using the distributive property and properties of equality.
Negative 5 (a + 3) = negative 55
What is the value of a?Solve the equation using the distributive property and properties of equality.
Negative 5 (a + 3) = negative 55
What is the value of a?
Answer:
a=8
Step-by-step explanation:
-5(a+3)=-55
-5a-15=-55
-5a=-40
-40/-5=8
a=8
Answer:
The answer is C A = 8
Step-by-step explanation:
Took the test on edge
Please show work! Please and thank you!
Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept
Answer:
It is
X -6 -4 0 4 6
Y 8 6 2 -2 -4
Hey could you help me with this: A machine pours 250 millilitres of juice every 4 seconds. How many litres of juice does the machine pour every minute?`
Answer:
15000
Step-by-step explanation
4x15=60
60x250=15000
The rate of the juice poured by the machine every minute is 10 liters.
What is the ratio of two numbers?The ratio of two numbers a and b can be written as a : b = a/b.
The ratio of two quantities is the unit rate of one quantity with respect to the other.
The total amount of juice poured by machine is 250 ml.
And, the time taken for that is 4 second.
In order to find the rate in liter per minute, convert the time in seconds to minutes and volume in liters as follows,
60 second = 1 minute
⇒ 1 second = 1/60 minute
⇒ 4 second = 4/160 = 1/40 minutes.
And, 1 liter = 1000 milliliter
⇒ 1 milliliter = 1/1000 liter
⇒ 250 milliliter = 250/ 1000 = 1/4 liter
Now, the rate of juice poured per minute is given as,
1/4 ÷ 1/40
⇒ 1/4 × 40
⇒ 10 liter per minute
Hence, the machine pour every minute 10 liter of juice.
To know more about ratio click on,
brainly.com/question/13419413
#SPJ2
There are 134 Girl Scouts going camping each cabin can hold 8 girls. How many cabins will they need for all the Girl Scouts? Show all the work.
A baker bought a total of 12 pounds of apples and bananas for $10.20.
The system of equations {a+b=120.75a+1.05b=10.20 models this situation, where a is the number of pounds of apples, and b is the number of pounds of bananas.
How many pounds of each did the baker buy?
Find x and y. Give reasons to justify your solution. I will give brainliest PLS HELPPPPPPPP
Step-by-step explanation:
eog=90
27+3y=90
3y=63
y=21
aob=180
x+90+3x+18=180
x+3x+108=180
4x=180-108
4x=72
x=18
good luck dude
Answer: y= 21
x=18
Step-by-step explanation:
Lines x and y are parallel write an equation that represents the relationship between b and e. Explain how you know the equation is always true
Answer:
b+e= 180 degrees
Step-by-step explanation:
Because they are perpindicular
Answer:
Step-by-step explanation:
PLSSS HELP WILL MARK BRANLIEST!!
Which of the following expressions represents the area of the triangle above?
Select one:
A. ax2
B. x3
C. 2x3
D. 2a2x
Answer:
A
Step-by-step explanation:
the final answer after multiplying them all is 2ax^2, but since its a triangle you multiply that by 1/2 to get ax^2
2(2x + 1) = 2+11)
bruh what is the answer
Answer:
basically you're solving for x.
Step-by-step explanation:
x = 11/4 for exact form
in decimal form
x= 2.75
in mixed number form
x = 2 3/4
but in this case it's 2.75
Select the correct answer. Leeann works 20 hours per week and makes $15 per hour. What is her yearly pay? A. $10,100 B. $12,500 C. $15,600 D. $18,200
Answer:C
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer would be C, It would be 300$ an hour and then you multiply that by the amount of weeks you get the number in C.
Move vertices A, B, and C to create a triangle of your choice. Record the measures of the interior angles α, β, and γ for three different triangles. Then find the sum of the angle measures for each triangle.
Answer:
α β γ Sum of Interior Angles
75.96° 50.91 53.13° 180°
45° 126.87° 8.13° 180°
26.57° 135° 18.43° 180°
Step-by-step explanation: cause I did it
Answer:
S.A for Questions 1 and 2 for Edmentum and Plato
Like and Rate
True of False:the following polynomial is written in standard form
2x^4-x^3+5x^2+x-7
