Answer:
x=70
Step-by-step explanation:
Angle 1 will be 90° when it subtends a 180° arc. That means the sum of 100° and (x+10) must be 180°, so (x+10) = 80°.
We assume this is intended to mean ...
... (x +10)° = 80° . . . . . note the ° symbol added outside parentheses
... x +10 = 80 . . . . . divide by °
... x = 70 . . . . . . . . .subtract 10
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If the intent is (x+10°) = 80°, then x=70°.
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<em>Comment on the numbers here</em>
Units need to be properly specified in problems of this nature. <em>As written</em>, we probably should assume that 10 is <em>radians</em>, and x is a large negative number, about -8.60374 (radians), or -492.958°.
A number of radians is a "pure number." It has <em>no units</em>. The term "radians" is used to signify that the number is considered to be an angle measure.
The approximate value of x in the square that the diagonals meets to form four right angles is 5.7 units
<h3>Properties of a square.</h3>
- All the sides are equal.
- Opposite sides are parallel to each other.
- The diagonal intersects at right angle.
Using Pythagoras theorem the value of x can be found as follows:
c² = a² + b²
where
- c = hypotenuse
- a and b are other legs
Therefore,
8² = x² + x²
64 = 2x²
x² = 64 / 2
x = √32
x = 5.65685424949
x = 5.7 units
learn more on square here:brainly.com/question/12338379
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Answer:
1) Distance=Speed*time
90=(x+1)*(x)+(2x+5)(x-1)
90=x^2+x+2x^2-2x+5x-5
3x^2+4x-95=0
2) 3x^2+4x-95=0. Using quadratic formula, we get
x=(-4±sqrt(16-4*3*(-95)<u>)</u>)/6, x=5 or - 19/5 but since x also represents time, it can't be negative.
3) Total time take she took for the journey is x+x-1=2x-1=2*5-1=9 hours
Answer: Third option.
Please, see the detailed solution in the attache file.
Thanks
Answer: 
Concept:
Here, we need to know the power of imaginary numbers
i = √(-1)
i² = -1
i³ = -i
i⁴ = 1
Solve:
<u>Given function expression</u>
<u>Given the requirement of the question</u>
To find the expression for f(i)
<u>Substitute values into the expression</u>
<u>Simplify the exponents</u>
<u>Expand the parenthesis</u>
Hope this helps!! :)
Please let me know if you have any questions
