A bird sitting on top of a stop sign notices a piece of food on the ground, 11 ft from the base of the stop sign. If the bird has to look
down at a 39° angle of depression in order to see the piece of food,
what is the approximate distance from the bird to the food?
(Assume the stop sign is at a right angle to the ground.)
sin 39° = 0.63
cos 39° = 0.78
tan 39° = 0.81
A. 8.58 ft
C. 14.10 ft
B. 13.58 ft
D. 17.46 ft

3+x

step-by-step explanation:

this would be 35. 35 + 5 = 40. you take the known constant and subtract by the answer of the equation and you get y.

the transitive property of equality.

step-by-step explanation:

the correct answer is:

the transitive property of equality.

explanation:

we know that  ∠bcd is congruent to  ∠pbc. we also know that  ∠pbc is congruent to  ∠bad.

we can substitute  ∠bad for  ∠pbc in the first angle congruence statement to give us:

∠bcd is congruent to  ∠bad.

algebraically, the transitive property states if a=b and b=c, then a=c. it basically allows us to substitute equal values. since that is what we did, this is the transitive property.

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the exponential expression to find the value of the cd, in dollars, after t years will be:  

step-by-step explanation:

formula of compound interest:   , where final value after years,   initial value, rate of interest in decimal and number of compounding in a year.

oliver plans to purchase a $1,500 certificate of deposit (cd) at his bank. that means,  

the cd will earn 2.3% interest, compounded semi-annually.

so,   and  

now, plugging these values into the above formula, we will

(rounded to the nearest ten-thousandth)

so, the exponential expression to find the value of the cd, in dollars, after t years will be: