Answer:
<h2>
√34sin(x + 0.33π)</h2>
Step-by-step explanation:
The general form of the equation acosx + bsinx = Rsin(x + e) where R is the resultant of the constants 'a' and 'b' and e is the angle between them.
R = √a²+b²

Given the function f(x) = 3 cos x + 5 sin x, comparing with the general equation;
a = 3, b = 5
R = √3²+5²
R = √9+25
R =√34

in radians;

3 cos x + 5 sin x = √34sin(x + 0.33π)
8 1-and-a-half blocks would be 12 blocks, and so 12/17, because 12 blocks in 17 mins., so you divide 12 by 17 to get ---- blocks per minute, which is 12/17 as a fraction, or approx. 0.705882353 blocks per minute.
Answer: The missing statements are,
In first blank: ∠2≅∠1
In second blank: AC≅AC
In third blank: Reflexive
Step-by-step explanation:
Since, The hypotenuse angle theorem states that if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent to each other.
Here, given:
∠D and ∠B are right angles.
DC ║ AB
Prove: Δ ADC ≅ Δ CBA
Statement Reason
1.∠D and ∠B are right angles 1. Given
2. ∠2 ≅ ∠1 2. If lines are parallel then interior angles
are equal
3. AC≅AC 3. Reflexive
4.Δ ADC ≅ Δ CBA 4. Hypotenuse angle theorem
Answer:
x=3y+15
Step-by-step explanation:
Formula : 2 x pie x radius
1. 2x3.14x3=18.84in
2.2x3.14x6=36.48yd
3.2x3.14x4=25.12ft
4.2x3.14x12=75.36yd