Answer:
Below in bold.
Step-by-step explanation:
sin θ = 4 cos θ
Note that tan θ = sin θ / cos θ so we
Divide both sides by cosθ:
tan θ = 4
θ = 75.96
= 75 degrees 58 minutes.
Answer:
708.496×1
2×354.248
177.124
×4
Step-by-step explanation:
Here are 3 ways.
You would divide 708.496 with some numbers and you have different ways.
Hope this helped!
Answer:
The pebble will hit the ground 8.29 second after it is thrown.
Step-by-step explanation:
Given that,
The height of the pebble after t seconds is given by the equation
h= -16t²+24 t+900.
When the pebble hit the ground, the height of the pebble will be zero.
So putting h=0 in the given equation.
0 = -16t²+24 t+900
⇒-4(4t²-6t-225)=0
⇒4t²-6t-225=0
Applying quadratic formula
, here a=4, b= -6 and c= -225.

⇒ t = 8.29, -6.79
Since time can not negative.
∴t=8.29 seconds.
The pebble will hit the ground 8.29 second after it is thrown.
Answer:
The correct option is 1.
Step-by-step explanation:
Two triangles are called similar if all the corresponding angles are congruent or all corresponding sides are in same proportion.
In triangle MNO and triangle RTS.
(Given)
(Given)
According to the angle sum property, the sum of all interior angles of a triangle is 180 degree. Since two corresponding angles are congruent, therefore third angle is also congruent.

Since all corresponding angles are congruent, therefore the triangles MNO and RTS similar.
The triangle are congruent by AA rule of similarity. Each triangle has two congruent angles, therefore both triangles are similar. Option 1 is correct.