A) reflection over y-axis
b) dilation with scale factor 2 (non-rigid transformation)
c) reflection over x-axis
d) stretching across y-axis, non-rigid transformation
Answer:
y ≈ 240.3 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relation between an angle and the sides adjacent and opposite is ...
Tan = Opposite/Adjacent
In this triangle, the interior angle at lower right is the same as the one marked at upper left: 31°. y is the side opposite that angle, and 400 ft is the side adjacent. Then the relation is ...
tan(31°) = y/(400 ft)
Multiplying by 400 ft gives ...
y = (400 ft)·tan(31°) ≈ 240.3 ft
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The triangle interior angle at lower right and the angle marked 31° are "alternate interior angles" relative to the transversal marked x and the (parallel) horizontal lines in the figure. Alternate interior angles always have the same measure.
In geometry problems like this one, it means the angle of elevation (above the horizontal) is equal to the angle of depression (below the horizontal).
The price dropped by 0.08 dollars (subtract 3.20 and 3.12)
Divide this price drop over the original price
0.08/3.20 = 0.025 = 2.5%
<h3>The percent change is -2.5%</h3>
The negative is to indicate a price drop or decrease
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If you want, you can use the formula below
P = 100*(N - S)/S
where N = 3.12 is the new price and S = 3.20 is the start price, so
P = 100*(N-S)/S
P = 100*(3.12-3.20)/3.20
P = -2.5%
we get the same answer as before
Answer:
a) 1/7 liters of petrol is used for each mile
Step-by-step explanation:
Justin fills his car with 40 litres of petrol. After travelling 35 miles it's down to 35 litres.
From the above statement:.
The difference is :
40 litres - 35 liters = 5 liters
Hence:
After travelling 35 miles he used 5 liters
(a) How much petrol does the car use each mile?
This is calculated as:
35 miles = 5 Liters
1 mile = x liters
Cross Multiply
35x = 5 Liters
x = 5/35
x = 1/7 liters
Hence, for each mile, 1/7 liters of petrol is used
Answer:
8.75 tons
Step-by-step explanation:
3500 pounds to tons is 1.75 so 1.75 tons x 5 cars= 8.75 tons.