Answer:
4
Step-by-step explanation:
Here you need not completely solve 7992 squared. You can just take the last digit which in this case is 2 and solve for the square of that digit. 2 x 2 = 4. Now if it was a bigger digit which would result in a two digit number when squared you would take the last digit of that number. But, we don't need to do that here since 2 squared is 4.
Answer:
1 31/36 is your answer
Step-by-step explanation:
Find common denominators. Note that what you do to the denominator, you must do to the numerator;
(-7/18)(2/2) = (-14/36)
(-9/4)(9/9) = (-81/36)
Combine the terms:
(-14/36) - (-81/36)
Note that two negative signs directly next to each other equals a positive sign.
(-14/36) + 81/36
-14/36 + 81/36
(-14 + 81)/36
Combine like terms. Solve the parenthesis:
(67)/36
Change to a mixed fraction:
(67/36) = 1 31/36
1 31/36 is your answer.
~
X = 14
because 7 (14) + 9 is equal to 9 (14) - 19
Step-by-step explanation:
Use the Pythagorean Theorem: a^2+b^2=c^2
We can set up the equation like this: 11^2+y^2=61^2
= 121+y^2=3,721
=y^2=3600
= y = 60
Answer:
2.02 m
or 2 m 2 cm
Step-by-step explanation:
Imagine a triangle containing the 40° angle and that this angle is at the left. Then the height of the truck bed is 1.3 m and the "shortest possible length of the ramp" is the hypotenuse of this triangle. We need to find the length of this ramp, that is, the length of the hypotenuse.
The sine function relates this 40° angle and the 1.3 m height of the truck bed:
sin 40° = opp / hyp = 1.3 m / hyp
which can be solved for 'hyp' as follows:
1.3 m
hyp = ----------------- = (1.3 m) / 0.6428)
sin 40°
1.3 m
Thus, the length of the ramp must be less than -------------- or 2.02 m
0.6428
where this last result is to the nearest cm.
If the ramp is shorter the angle of the ramp will be smaller and the ramp angle considered safer.
