Answer:
A) 1/45
B) 1/60
Step-by-step explanation:
<u>Part A</u>
The actual car has a length to width ratio of ...
length/width = (570 cm)/(180 cm) = 57/18 = 3 1/6
The rectangle on the screen has a length to width ratio of ...
length/width = (13 cm)/(4 cm) = 3 1/4
Relative to its width, the screen rectangle is longer than necessary for a model of the car. So, the scale factor will be determined by the width of the car relative to the width of the screen model.
For a model width of 4 cm, the scale factor is ...
model/life-size = (4 cm)/(180 cm) = 1/45
__
<u>Part B</u>
For a model width of 3 cm, the scale factor is ...
model/life-size = (3 cm)/(180 cm) = 1/60
generate by: Amplitude:5 Period:4
Phase shift:(3 to the right) Vertical shift:-2
x=3,g(x)= 3
x=4,g(x)= -2
x=5,g(x)= -5
x=6,g(x)= -2
x=7,g(x)= 3
the graph is like cos(x)
learn more about trigonometric graphs here:
brainly.com/question/18265536
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We can use linear combinations of the equations to eliminate variables.
3x - 4y = 1
-2x + 3y = 1
To eliminate y we'll make the linear combination of 3 times the first equation minus four times the second.
9x - 12y = 3
-8x + 12y = 4
Adding,
x = 7
We could solve for y directly but let's use another linear combination, twice the first plus three times the second:
2(3x - 4y) + 3(-2x + 3y)= 2(1)+3(1)
y = 5
Check: 3(7)-4(5)=1 good. -2(7)+3(5)=1 good.
Q18 Answer: (7,5)
y = -3x + 5
5x - 4y = -3
4y +1(5x - 4y) = 4(-3x + 5) + 1(-3)
5x = -12x + 20 -3
17 x = 17
x = 1
y = -3(1) + 5 = 2
Check: 5(1) - 4(2) = -3 good
Q19 Answer (1,2)
6x + 5y = 25
x = 2y + 24
6x = 12y + 144
5y = 25 - 12y - 144
17y = -119
y = -119/17= -7
x = 2y+24= 10
Check: 6(10)+5(-7)=25 good 2y+24=2(-7)+24=10=x good
Q20 Answer (10,-7)
3x + y = 18
-7x + 3y = -10
9x + 3y = 54
9x - -7x = 54 - -10
16x = 64
x=4
y = 18 -3x = 18-12=6
Check: 3(4)+6=18 good, -7(4)+3(6)=-10 good
Q21 Answer: (4,6)
Answer: 215 seconds
Step-by-step explanation:
This is a ratio problem so you can set up the ratio like this:
120 words : 100 second.
If you divide both sides of the ratio by 120 you get:
1 word: 0.8333 seconds
Multiply both sides of the ratio by 258 and you get:
258 words: 215 seconds.
Therefore typing 258 will take them 215 seconds.