Answer:
84 (nearest whole number)
Step-by-step explanation:
If x = 10,
Longest leg = (7 x 10) + 4 = 74
Shortest leg = 4 x 10 = 40
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse of a right triangle):
⇒ 74² + 40² = c²
⇒ 7076 = c²
⇒ c = √7076 = 84.11896...
⇒ hypotenuse = 84 (nearest whole number)
<span>15x+12=45+4x </span>⇒15x - 4x = 45 - 12 ⇒ 11x = 33 ⇒ x = 3
Answer:
12.6
Step-by-step explanation:
If 21 divided by 5 is 4.2, you should multiply 3 by 4.2 you'll then get 12.6. to double check, do 5 divided by 3, which is 1.67, and 21 divided by 12.6 is also 1.67. so side OP is 12.6! :)
Answer:the smallest possible sum of the two numbers is 537
Step-by-step explanation:
Two three-digit numbers are made up of six different digits.
To interpret this, let the two three digit numbers be;
ABC and. DEF
The first digit of the second number is twice as big as the last digit of the first number.
Interpret;
D=2C
The first digit of the first number can be 1, the second digit 0 and the third digit 2.
102.
For the second number:
D=2C
The first digit is 4, second digit 3 and last digit 5 since no repetition of digits
435.
Answer:the smallest possible sum of the two numbers is
102+435= 537
S(t) = 3.82 - 0.2t
Step-by-step explanation:
After 7 weeks, the ice is 2.42 meters thick. The ice loses 0.2 meters of thickness per week; this means on the 7th week, it has lost 7(0.2) = 1.4 meters of thickness.
This means the ice started at 2.42+1.4 = 3.82 meters thick.
Our function will start at the original thickness of the ice, 3.82 meters.
Since the ice is losing thickness, we will subtract; it loses at a rate of 0.2 meters per week (t), which gives us 0.2t. This is subtracted from the original, 3.82 meters, giving us
S(t) = 3.82 - 0.2t
