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:
2 sqrt(5) OR 4.5
Step-by-step explanation:
You have to know Pythagorean theorem to solve this question.
a^2 + b^2 = c^2
To use this theorem you have to have a right triangle. There are two right triangles in your image. The lower (larger) one has two sides labeled, so you can use Pythagorean thm to find the third side. There's a short cut, bc some right triangles have easy-to-memorize lengths of the sides. 3-4-5 is one of these number sets. A multiple of this is 6-8-10. We could've solved:
b^2 + 8^2 = 10^2
But it would've come out the same. The unlabeled side is 6.
We can use the 6 and the 4 on the smaller right triangle and use the Pythagorean thm again to solve for x.
4^2 + x^2 = 6^2
16 + x^2 = 36 subtract 16 from both sides.
x^2 = 20
Take the square root of both sides.
sqrt (x^2) = sqrt 20
x = 2 sqrt(5) which is approximately 4.472.
2 sqrt(5) is an exact answer if that is what they are asking for. 4.472 is an approximation to the nearest thousandth. It would be 4.47 to the nearest hundredth or 4.5 to the nearest tenth.
Answer:
78 inches
Step-by-step explanation:
perimeter of a kite formula: 2(a+b)
a= 18 inches
b= 21 inches
2(18+21)
2(39)
78 inches
Answer:
y = 2x - 3
Step-by-step explanation:
Parallel lines have the same slope
only the constant changes
y = 2x + b
To find "b"
Plug in point (3, 3)
3 = 2(3) + b
3 = 6 + b
Subtract 6 from both sides
-3 = b
The equation for the parallel line is
y = 2x - 3
Answer:
B.) 
Step-by-step explanation:
use the slope rule
Fill in values
Simplify
Simplify further
Done.
