The answer for your question is
and the linear graph is closed and to the left
Answer: 175 ft squared
Step-by-step explanation: A= a + b / 2h= 20 + 152 · 10 = 175
Answer:
-25.17 miles per gallon.
-It costs $49.02 to fill your tank.
Step-by-step explanation:
-To find the miles per gallon, you can use a rule of three:
17.2 gallons → 433 miles
1 gallon → x
x=(1*433)/17.2= 25.17
If your gas tank holds 17.2 gallons, you car can drive 25.17 miles per gallon.
-To find the cost to fill your tank, you have to multiply the price per gallon for the amount of gallons that the tank can hold:
$2.85*17.2=$49.02
It costs $49.02 to fill your tank.
To solve this, let us first imagine a smaller triangle
created by the head of Jim (A), the top of the lamp post (B), and somewhere on
the body of the lamp post which is directly perpendicular to the head of Jim
(C).
CB = 16 – 6 = 10 ft
AC = 4 ft
Calculate for angle B using tan function:
tan B = AC / CB
B = tan^-1 (4 / 10)
B = 21.8°
Now imagine a bigger triangle created by the tip of
shadow (D), the top of the lamp post (B), and the base of the lamp post (E).
BE = 16 ft
B = 21.8°
We can calculate for DE using tan function:
tan B = DE / BE
(16 ft) tan 21.8 = DE
DE = 6.4 ft
Since Jim is 4ft away from the base of the lamp post,
therefore the length of the shadow is:
6.4 ft – 4 ft
= 2.4 ft
Therefore the length of Jim’s shadow is 2.4 ft long