Answer:
Correct answer: b = 1 and a = √2
Step-by-step explanation:
Given:
Right triangle
One leg with length 1 unit
One acute angle α = 45°
a, b = ?
The theorem says that two acute angles in a right triangle are complementary, ie their sum is 90 degrees.
α + β = 90° ⇒ β = 90° - 45° = 45°
β = 45° this means that the other angle is also 45 degrees
The theorem says that across the equal angles are equal sides.
Accordingly the other leg b is one unit ⇒ b = 1
Finally, we apply Pythagoras' Theorem:
b² + 1² = a²
a² = 1 + 1 = 2 ⇒ a = √2
a = √2
God is with you!!!
Answer:
y = -1
x = 9
(9, -1)
Step-by-step explanation:
1) Since "x" equals <em>-4y+5, </em>substitute that into the bottom equation for x: -4y+5+2y=7
2) Combine like terms: -2y+5=7
3) Subtract 5 from both sides: -2y=-2
4) Divide both sides by -2: y=-1
Now you have figured out that <em>y= -1 </em>
1) Substitute <em>-1 </em>for <em>y </em>in the top equation: x=-4(-1)+5
2) Solve: x=4+5
3) x=9
Now you have figured out that <em>x=9 </em>
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The final answer is (9, -1)
Hope this helps! :)
How many boxes are there: 1450 / 120 = 145/12 =12(1/12)
12 boxes have how many popped kernels: 1/12 x 1450 = 1440
What is the remaining popped kernels: 1450-1440=10
Therefore, the last box have 10 popped kernels.
If she has 3 cheeses and wants to bring in cheese for 12 days she has 3 and splits it up into 12 days so thats 3/12 which is 0.25 per day