Answer:
30 miles
Step-by-step explanation:
Given that:
Alex has some target to run a certain number of miles by the end of the month.
Goal already achieved = 40% of the total goal
Number of miles already run by Alex = 12 miles
To find:
Number of miles that Alex is trying to run by the end of month?
Solution:
We have to find nothing but the goal of Alex here.
Let the number of miles that Alex is trying to run by the end of the month = 
miles
As per question statement:
40% of total number of miles to be run = 12 miles
OR
Total number of miles that Alex is trying to run by the end of the month = <em>30 miles</em>
Answer:Brielle will run the half marathon race faster.Brielle will take 1 hour 44 minutes and 48 seconds, Joshua will take 2 hours 37 minutes and 12 seconds
Step-by-step explanation:
10 / 1.25 = 8
8 minutes a mile
18 / 1.5 = 12
12 minutes a mile
Brielle will run the half marathon race faster.
8 x 13.1 =104.8
12 x 13.1=157.2
104.8 - 60=
44.8
60 seconds x .8= 48
Brielle will take 1 hour 44 minutes and 48 seconds
157.2 - 120 = 37.2
60 seconds x .2 = 12
Joshua will take 2 hours 37 minutes and 12 seconds
<h2><u>Circle Equations</u></h2>
<h3>Write the standard form of the equation of the circle with the given characteristics.</h3><h3>Center: (0, 0); Radius: 2</h3>
To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,
- <u>(h, k)</u> is the center; and
- <u>r</u> is the radius
Substitute the values of the center and radius to the standard form.
<u>Given:</u>
<u>(0, 0)</u> - <u>center</u>
<u>2</u> - <u>radius</u>
- (x - h)² + (y - k)² = 2²
- (x - 0)² + (y - 0)² = 4
- x² + y² = 4
<u>Answer:</u>
- The equation of the circle is <u>x² + y² = 4</u>.
Wxndy~~
Answer:
The value of angle B is 33.69°
Step-by-step explanation:
You can find out using Tangent Rule, tanθ = oppo./adj. where opposite and adjacent are the length of triangle :
oppo. = AC = 6 units
adj. = BC = 9 units
θ = ∠B
tan ∠B = AC/BC
tan ∠B = 6/9
∠B = tan^(-1) (6/9)
= 33.69° (near. hundredth)
