Answer:
2√2
Step-by-step explanation:
<u>By </u><u>using </u><u>trigonometry,</u>
sin 45° = x/4
x = 4sin 45°
x = 2√2
<u>By </u><u>using </u><u>Pythagorean</u><u> </u><u>theorem</u><u>,</u>
Since you know that it is an isosceles triangle and it's also a right-angled triangle,
4² = x² + x²
16 = 2x²
x² = 8
x = √8
= 2√2
The answer of the question is D
Answer:
5
Step-by-step explanation:
given that x and y are proportional, they can be expressed as y = rx, where r is the proportionality constant. Thus, we can solve for r by doing y/x in any given point.
<span>When flipping two standard American quarters, there are four independent possible outcomes:
-Tails, tails
-Heads, heads
-Heads, tails
-Tails, heads
Looking, then, at these four outcomes, there are three of those that include at least one head. As such, the answer to this question is three possibly different ways for her to achieve the desired outcome.</span>
Answer:
D
Step-by-step explanation:
So we have the equation:
And we want to solve for x.
We can solve it by completing the square.
First, subtract 58 from both sides:
Divide the b term by 2 and square it:
So, add 9 to both sides:
On the left, the perfect square trinomial pattern. Add on the right. So:
Take the square root of both sides:
The square root of -49 is 7i:
Add 3 to both sides:
So, our answer is D.
And we're done!