Answer:
<h2>x = 10√3</h2>
<u>Step-by-step explanation:</u>
cos 45° = base / hypotenuse
1/√2 = base / 15√2
15√2 = base√2
Base, = 15
sin 60° = perpendicular / hypotenuse
hypotenuse = x
√3/2 = 15 / x
x √3 = 30
x = 30 / √3
x = 10√3
I believe the X-coordinate of the midpoint would be (0.5,-0.5)
The answer is 13.2 m.
Because we are only given the hypotenuse, adjacent, and theta measurements.
the opposite side is always opposite theta. In this case, theta is 39 degrees. The hypotenuse is always the slant of the triangle, so it is 17 m. And adjacent is obviously the only one left, in this case, it is x.
You have to use sin, cos, or tan for this problem. You would use cos because cos = adjacent /hypotenuse (x/17)
so you would do cos(39) times 17
x = cos(39) * 17
x = .777 * 17
x = 13.21
And it says round to the nearest tenth, so it is 13.2 m.
Hope this helps.
The third equation is the correct one. After 100 years, about 115 grams will remain.
Answer:
86 or 32, depending on the correctness of the syntax
Step-by-step explanation:
We use PEMDAS:
Parentheses: 4(2)5 2-6/(-3)
Exponents: <em>I'm assuming that all the syntax is correct (so no exponents).</em>
Multiplication and Division: 40*2+6 = 80 + 6
Addition and Subtraction: 86
If you copy+pasted this expression, then the original equation would have been: (4(8 − 6)^5)/(2 − 6 ÷ (−3)). We can use PEMDAS:
Parentheses: (4(2)^5)/(2 - 6 ÷ (−3))
- We solve the parentheses individually using PEMDAS:
- Exponents: (4*32) <-- Numerator | Denominator -->(2 - 6 ÷ (−3))
- Multiplication and Division: 128 <-- Numerator | Denominator --> 2 + 2
- Addition and Subtraction: 128 < -- Numerator | Denominator --> 4
We now have the following fraction: 128/4
That simplifies to 32
