Answer:
Kenny traveled 19.5 miles
Step-by-step explanation:
Explanation:
Draw altitude AD to segment BC such that point D is on BC. This creates right triangles ADB and ADC.
Hypotenuses AB and AC are given as congruent. Leg AD in each triangle is congruent to itself by the reflexive property of congruence.
Then the triangles ADB and ADC are congruent by the HL congruence theorem.
Angles B and C are corresponding parts of congruent triangles, so are congruent by CPCTC.
Answer:
c₁ = 1/2 cos⁻¹ (2/π) = 0.44
c₂ = -1/2 cos⁻¹ (2/π) = -0.44
Step-by-step explanation:
the average value of f(x)=2 cos(2x) on ( − π/ 4 , π/ 4 ) is
av f(x) =∫[2*cos(2x)] dx /(∫dx) between limits of integration − π/ 4 and π/ 4
thus
av f(x) =∫[cos(2x)] dx /(∫dx) = [sin(2 * π/ 4 ) - sin(2 *(- π/ 4 )] /[ π/ 4 - (-π/ 4)]
= 2*sin (π/2) /(π/2) = 4/π
then the average value of f(x) is 4/π . Thus the values of c such that f(c)= av f(x) are
4/π = 2 cos(2c)
2/π = cos(2c)
c = 1/2 cos⁻¹ (2/π) = 0.44
c= 0.44
since the cosine function is symmetrical with respect to the y axis then also c= -0.44 satisfy the equation
thus
c₁ = 1/2 cos⁻¹ (2/π) = 0.44
c₂ = -1/2 cos⁻¹ (2/π) = -0.44
A= adult /s=student
170/150= factor out the 10 out of each .you are left with 17 adult and 15 children .17/15
Answer:
x=6.5
Step-by-step explanation:
Don't worry I just know
