The numerical expression that describes the amount of time it takes Imani to walk to school is x = 5y - 1.
<h3>How do we derive a numerical expression?</h3>
Let:
x = amount of time it takes Imani to walk to school
y = amount of time it takes Imani to ride to school = 3 minutes
The numerical expression that describes the amount of time it takes Imani to walk to school can be written as follows:
x = 5y - 1
Since it takes Imani three minutes to ride her bike to school, we can solve for x by substituting y = 3 as follows:
x = (5 * 3) - 1 = 15 - 1 = 14 minutes
Learn more about a numerical expression here: brainly.com/question/14642484.
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Area of a triange = 180 degrees
60 + 90 + 30= 180
180-30=150
Z=150 degrees
Answer:
546,397 people
Step-by-step explanation:
We solve for the above question, using the formula for Exponential growth
The formula is given as
P(t) = Po (1 + r)^t
Po = Initial population = 310,000
r = Exponential growth rate = 6.5% = 0.065
t = Time in years = 9
P(t) = Population size after time t
Hence:
P(t) = 310,000 × (1 + 0.065)⁹
P(t) = 546,396.82088 people
Approximately =546,397 people
The population will be 546,397 people after 9 years.
Answer:
=204.13 inches.
Step-by-step explanation:
Using the side x, we can use sine to find the hypotenuse of the triangle with the angle marked 30°.
Sin 30 =x/hypotenuse.
sin 30 = 27/hyp
hyp= 27/sin 30
=54 inches
We can also find the adjacent as follows.
Cos 30 = adjacent/ 54
Adjacent= 54 cos 30
=46.77 inches
Using the angles marked 45 we can find the hypotenuse of the isosceles triangle.
sin 45= x/hypotenuse
sin 45 =27/hypotenuse
hypotenuse = 27/sin 45
=38.18 inches
The hypotenuse of both the triangles making the isosceles triangle are 38.18 inches long.
Perimeter = 54+ 46.77+27+ 38.18+38.18
=204.13 inches.
