Answer:40 feet.
Step-by-step explanation:
Traffic sign is 8 feet.
It's shadow is 10 feet.
Traffic sign is,
8/10=0.8 times of shadow.
So, the phone is,
50*0.8
=40 feet.
Answer:
Inside the jar there's 16 nickels and 35 quarters.
Step-by-step explanation:
Since there are only nickels and quarters in the jar, the sum of the number of nickels and the number of quarters inside it must be equal to the total number of coins in the jar. So
nickels + quarters = 51
We know the total value inside the jar, to obtain this value we must multiply the amount of each kind of coin by it's value and sum it. So we have:
0.05*nickels + 0.25*quarters = 9.55
We now have two equations and two variables, so we can solve them as follows:
nickels + quarters = 51
0.05*nickels + 0.25*quarters = 9.55
From the first equation:
nickels = 51 - quarters
0.05*(51 - quarters) + 0.25*quarters = 9.55
2.55 - 0.05*quarters + 0.25*quarters = 9.55
0.2*quarters = 9.55 - 2.55
quarters = 7/0.2 = 35
nickels = 51 - 35 = 16
Inside the jar there's 16 nickels and 35 quarters.
Answer:
The correct option is A.
A) m, because ΔABC ~ ΔEDC
Step-by-step explanation:
Consider the both triangles.
<B = 60°
<D = 60°
<B and <D are congruent
<ACB = 90°
<DCE = 90°
<ACB and < DCE are also congruent.
As sum of the angles of triangle is 180°
<A = 180° - <ACB - <B
<A = 180° - 90° - 60
<A = 30° = m
<E = 180° - <DCE - <D
<E = 180° - 90° - 60°
<E = 30°
As m = 30°
<E = <CED = m
As segment AD cuts segment BE, which results in formation of two triangle, and as all angles of both triangles are equal, both triangles are similar.
Answer: Option C) The solution contains points in three quadrants of the coordinate plane.
Please, see the attached files.
Thanks.
a. The bridge can hold at most 1000 pounds. This tells you everyone's accumulative weight needs to be less than or equal to 1000. The problem does not give your friend's weight... yet. Let x = your friend's weight.
Your friend's weight (x) plus your weight (156) plus everyone else's weight (675) must be less than or equal to (≤) 1000 pounds.
x + 156 + 675 ≤ 1000
Combine like terms (the constants) to simplify and get your final inequality:
x + 831 ≤ 1000
b. Now, we find out your friend weighs 182 pounds. x = 182. We plug this into the above equation. If it results in a true statement, then you both can walk across the bridge.
182 + 831 ≤ 1000
1013 ≤ 1000, is not a true statement.
No. You both cannot walk across the bridge as is because the weight of the people on the bridge would be 13 pounds over the weight limit.
