Answer:
37°
Step-by-step explanation:
∠ECF= ∠ACG
∠ACG= 90° - ∠GAC= 90° - 53°= 37°
Answer:
f(x)= 1 - 2x
Step-by-step explanation:
Answer:
Factor by which kinetic energy increase = 4 times
Step-by-step explanation:
Given,
- Mass of the car, v1 = 1500 kg
- initial speed of car = 35 miles/h

= 15.64 m/s
Initial kinetic energy of the car is given by,


= 183606.46 J
- Final velocity of car v2 = 70 miles/hour

= 31.29 m/s
So, final kinetic energy of car is given by


= 734425.84 J
Now, the ratio of final to initial kinetic energy can be given by,

Hence, the kinetic energy will increase by 4 times.
Answer:
80 < 93 < 121 < 127
Step-by-step explanation:
For a geometric series,

Formula to be used,
Sum of t terms of a geometric series = 
Here t = number of terms
a = first term
r = common ratio
1). 
First term of this series 'a' = 3
Common ratio 'r' = 2
Number of terms 't' = 5
Therefore, sum of 5 terms of the series = 
= 93
2). 
First term 'a' = 1
Common ratio 'r' = 2
Number of terms 't' = 7
Sum of 7 terms of this series = 
= 127
3). 
First term 'a' = 1
Common ratio 'r' = 3
Number of terms 't' = 5
Therefore, sum of 5 terms = 
= 121
4). 
First term 'a' = 2
Common ratio 'r' = 3
Number of terms 't' = 4
Therefore, sum of 4 terms of the series = 
= 80
80 < 93 < 121 < 127 will be the answer.
Answer:
25/11 divided by 5/22 = 10
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 11 on the left side and the dividend 25 on the right side like this:
1 1 ⟌ 2 5
Step 2:
The divisor (11) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:
0
1 1 ⟌ 2 5
Step 3:
Multiply the divisor by the result in the previous step (11 x 0 = 0) and write that answer below the dividend.
0
1 1 ⟌ 2 5
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.
0
1 1 ⟌ 2 5
- 0
2
Step 5:
Move down the 2nd digit of the dividend (5) like this:
0
1 1 ⟌ 2 5
- 0
2 5
Step 6:
The divisor (11) goes into the bottom number (25), 2 time(s). Therefore, put 2 on top:
0 2
1 1 ⟌ 2 5
- 0
2 5
Step 7:
Multiply the divisor by the result in the previous step (11 x 2 = 22) and write that answer at the bottom:
0 2
1 1 ⟌ 2 5
- 0
2 5
2 2
Step 8:
Subtract the result in the previous step from the number written above it. (25 - 22 = 3) and write the answer at the bottom.
0 2
1 1 ⟌ 2 5
- 0
2 5
- 2 2
3
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 25 divided by 11 calculated using Long Division is: