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vladimir2022 [97]
4 years ago
5

A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walks once around the track a

t the average rate of 3 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement?A. 0.5< t < 0.75
B. 1.75< t < 2.0
C. 2.0 < t < 2.5
D. 2.5 < t < 3.0
E. 3 < t < 3.5
Mathematics
1 answer:
Xelga [282]4 years ago
6 0

Answer:C 2.0< t < 2.50

Step-by-step explanation:

Diameter of circular lake = 2 miles

Radius of the circular lake= 1 mile

Circumference of the circular lake = 2 pi

Speed of Joanna = 3mph

Time t= distance/ speed = circumference of lake / speed

t = 2 pi/ 3 = (2 × 3.142) / 3

t = 6.284/3 = 2.09

This is greater than 2 but less than 2.5, therefore statement C is correct

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It takes a ant farm 3 days to comsume 1/2 of an apple.At that rate,in how many days will the ant farm consume 3 apples?
VladimirAG [237]

Answer:

18

Step-by-step explanation:

In three days, the ant farm consumed 1/2 an apple. In 6 days the ant farm will consume 1 apple. We can multiply 6 days by 3 for three apples.

6(3)=18 days

3 0
3 years ago
Find the area of this regular polygon (trigonometry) !!! Please and thank you !! Bogus answers reported
777dan777 [17]
If we join the Center with different corners of the polygon,we find 10 Isoceles triangle with equal side=9.14cm, Making an angle of 36° between the equal sides.

Area of 1 triangle= a*b*sinC/2
= 9.14*9.14*Sin36°/2
= 9.14*9.14*0.587/2
=24.51 cm^2

Area of 10 triangle= 24.51*10
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6 0
4 years ago
One-third of the difference of a number and nine is negative fifteen. What is the number?​
Tems11 [23]

hi <3

lets call the unknown number 'x' for now and form an equation from what we know

1/3(x-9) = 15

now multiply both sides by 3

x - 9 = 45

add 9 to both sides

x = 54

hope this helps :)

3 0
3 years ago
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Find the equation of the line. Use exact numbers.<br><br> y = ?x + ?
gavmur [86]

Answer:

y = -2x + 5

Step-by-step explanation:

The y intercept is the point where the line meets the y axis, and it meets at 5.

The slope is -2/1, because it goes down 2 and over 1.

4 0
3 years ago
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You live on a triangular piece of land with a base of 121 yards and
morpeh [17]

The area of triangular piece of land in acres is 1 acre.

Further Explanation:

In order to find the area of the triangular piece of land in acres we have to find the area in yards

<u>Given:</u>

Base = 121 yards

Height = 80 yards

Area = \frac{1}{2} * base * height\\ = 0.5 * 121 *80\\=4840\ square\ yards\\Square\ Yards\ in\ one\ acre=4840\ square\ yards\\So,\\Area\ in\ acres = \frac{4840}{4840} \\= 1\ acre

So, the area of triangular piece of land in acres is 1 acre.

Keywords: Area of triangle, conversion from yards to acre

Learn More at:

  • brainly.com/question/4054269
  • brainly.com/question/4354581
  • brainly.com/question/4459688

#LearnwithBrainly

6 0
3 years ago
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