Answer:
3.8888888 (non terminating decimal)
Step-by-step explanation:
3 8/9 can be worded as "3 plus 8/9".
Step 1: Divide 8 by 9, you get 0.8888888888 ( non terminating decimal)
Step 2: Add 3
The result is 3.8888888 (non terminating decimal)
I think the first on is A the second one D and the third one B
Answer:
units
Step-by-step explanation:
Considering an equilateral triangle, the measure of the angles are 60ᵒ each and the sides have equal length of 2 units. If the equilateral triangle is divided into two equal right triangles, we have angles 30ᵒ, 60ᵒ and a right angle.
Let the value of the side opposite 60ᵒ angle be represented by x., the side opposite the right angle is 2 units, and that opposite the 30ᵒ is 1 unit.
Applying the Pythagoras theorem to determine the unknown side of the triangle, we have;
= +
= +
4 = + 1
= 4 - 1
= 3
⇒ x =
The length of the side opposite 60ᵒ angle is units.
Answer:
a = 15 when b = 9
Step-by-step explanation:
3 a plus b equals 54 in symbolic terms is 3a + b = 54.
Now, if b = 9, 3a + b = 54 becomes 3a + 9 = 54.
Subtracting 9 from both sides yields an equation for 3a:
3a = 45
Dividing both sides by 3 yields a = 15 when b = 9
First, let's write an equation for the situation.
Jim's weight is 30 pounds less than Tom's, so his weight is:
n - 30
If Tom's and Jim's weights add to 210:
n + (n - 30) = 210
Solve for n:
2n - 30 = 210
2n = 240
n = 120
Tom weighs 120 pounds.