The circumference of the circle is 762π cm.
<h3>What is length of arc of a circle?</h3>
The length of arc a circle can is determined with the radius and central angle of the arc.
The radius of the circle is calculated as follows;

The circumference of the circle is calculated as follows;

Learn more about circumference of a circle here: brainly.com/question/9782777
The answers to the questions are
- The mathematical model is given as s = −16t2 + 1054
- The height after 4.5 seconds is 730 feet
- the time it would take to strike the ground is 8.11 seconds.
<h3>How to solve for the position of the object</h3>
The mathematical model of this problem would be written as
s = −16t2 + v0t + s0
s0 = 1054
then we would have
s = −16t2 + 1054
b. after 4.5 seconds the height is going to be
s = −16t2 + 1054
= −16(4.5)² + 1054
= -16 * 20.25 + 1054
= 730
C. the time that it takes to strike the ground
s = −16t² + 1054
= 16t² = 1054
t² = 1054/16
= 65.88
t = √65.88
t = 8.11
Hence the time it would take to strike the ground is 8.11 seconds.
Read more on velocity here:
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Answer:
The correct answer is 375 purple flowers.
Step-by-step explanation:
If all the F1 generation from true-breeding parents are purple than the genotype would be heterozygous i.e., Pp and Pp. Here P indicates the dominant allele which produces purple flower and p indicates the recessive allele of white flower.
So if we will cross the F 1 generation than the genotype would be PP, Pp, Pp, pp. That means 3 out of 4 offspring would be purple because three genotypes out of four have dominant purple allele(P).
So if out of 4 flower 3 is purple than according to calculation out of 500 flower 375 offspring would be purple(3/4*500= 375). Therefore the correct answer is 375 purple flowers should be produced.
Answer:
x = 25.5 degrees
Step-by-step explanation:
x is part of an isosceles triangle.
Since a is 51, the supplement (& biggest angle in the x isosceles) is going to be 180 - 51 = 129.
That leaves 51 for the rest of the angles, which we have to divide by 2.
51 / 2 = 25.5 degrees
Yes that is the answer 19