The answer is 3 50 means 3 in this situation
Vertical stretch by a factor of 14 means multiplying the function value by 14.
So, vertical stretch will result in:
14x
Flipping over y-axis means changing the sign of x.
So, the resultant function will be:
G(x) = -14x
Thus, the A option is the correct answer
Answer:
"jitesh" travels 24 m towards south and then takes a turn at east and moves 5m towards it find his distance and displacement
tati
Step-by-step explanation:
"jitesh" travels 24 m towards south and then takes a turn at east and moves 5m towards it find his distance and displacement
Answer: B) m∠TPS = m∠RPQ
Step-by-step explanation:
Given that ΔPQR is similar to ΔPTS
We know that of two triangles are similar then their corresponding angles are equal in measure and corresponding sides are proportional.
Therefore, If ΔPQR is similar to ΔPTS, then
m∠TPS=m∠RPQ
m∠STP=m∠RQP
m∠PTS=m∠PQR
Therefore, from the given options, only B is the right options, i.e. m∠TPS = m∠RPQ
Answer and explanation:
There are six main trigonometric ratios, namely: sine, cosine, tangent, cosecant, secant, cotangent.
Those ratios relate two sides of a right triangle and one angle.
Assume the following features and measures of a right triangle ABC
- right angle: B, measure β
- hypotenuse (opposite to angle B): length b
- angle C: measure γ
- vertical leg (opposite to angle C): length c
- horizontal leg (opposite to angle A): length a
- angle A: measure α
Then, the trigonometric ratios are:
- sine (α) = opposite leg / hypotenuse = a / b
- cosine (α) = adjacent leg / hypotenuse = c / b
- tangent (α) = opposite leg / adjacent leg = a / c
- cosecant (α) = 1 / sine (α) = b / a
- secant (α) = 1 / cosine (α) = b / c
- cotangent (α) = 1 / tangent (α) = c / b
Then, if you know one angle (other than the right one) of a right triangle, and any of the sides you can determine any of the other sides.
For instance, assume an angle to be 30º, and the lenght of the hypotenuse to measure 5 units.
- sine (30º) = opposite leg / 5 ⇒ opposite leg = 5 × sine (30º) = 2.5
- cosine (30º) = adjacent leg / 5 ⇒ adjacent leg = 5 × cosine (30º) = 4.3
Thus, you have solved for the two unknown sides of the triangle. The three sides are 2.5, 4.3, and 5.