Answer:
237.9 meters
Step-by-step explanation:
Let x represent the length of the tunnel.
Applying the Cosine Law, we have:
x² = 201² + 146² - 2*201*146*Cos(85)
x² = 61,717 - 58,692*0.0872
x² = 61,717 - 5,117.9424
x² = 56,599.0576
x = √56,599.0576
x = 237.9 m (nearest tenth)
Fufufucurufurutu duck girlfriend ivories Two turtles (2,4)
In the parallelogram PQRS
<h3>What is defined as the parallelogram?</h3>
- A parallelogram is a type of quadrilateral created by parallel lines.
- A parallelogram's angle between adjacent sides can vary, however the opposite sides must be parallel in order to be a parallelogram.
- A parallelogram is formed when the opposite sides of a quadrilateral are parallel as well as congruent.
For the given question;
In the parallelogram PQRS,
QR = PS = 5 (opposite side of parallelogram are parallel and equal).
Sum of all angles is 360.
∠Q = ∠S (opposite angles of parallelogram are equal)
∠P + ∠Q + ∠R + ∠S = 360
2∠P + 2∠Q = 360
2∠Q = 360 - 2∠P
2∠Q = 210
∠Q = 105
Thus, the angle Q is found as 105 degrees.
To know more about the parallelogram, here
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Yes of course because a shape is not nothing
Answer:
x = –7, x = 2, or x = 4 are factors of f(x).
Step-by-step explanation:
Given : f(x) = 5x³ +5x²-170x +280 and x + 7 is one factor .
To find : What are all the roots of the function.
Solution : f(x) = 5x³ +5x²-170x +280 .
We have given that x + 7 is factor that mean x = -7 is factor of f(x )
When we divide f(x) by x +7 we get
5x² -30x +40 =0
Taking common 5 from equation
5( x² -6x +8) =0
On dividing by 5 both sides
x² -6x +8 = 0
On factoring
x² -2x -4x +8 = 0.
Taking common x from first two terms and -4 from last two terms
x ( x -2) -4 (x -2) = 0
On grouping
(x-2) (x-4) = 0
x -2 =0
x =2
x-4 =0
x = 4
Therefore, x = –7, x = 2, or x = 4 are factors of f(x).
