Jessica is returning home from a trip. The function d(t)=458-60t models the distance, in miles, that Jessica is from her house t hours after she began returning home. How far is Jessica from her home 5 minutes after she began returning home? A.

5 miles

B.

158 miles

C.

300 miles

D.

453 miles

D. 453 miles .

Step-by-step explanation:

Given: The function models the distance, in miles, that Jessica is from her house t hours after she began returning home.

At t = 5 minutes = hour     [1 hour = 60 minutes],

Distance covered by Jessica in 5 minutes =

Jessica is 453 miles from her home after 5 minutes she began returning home.

Hence, the correct option is D. 453 miles .

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.