Answer:
2
Step-by-step explanation:
Your slope is your change in y over your change in x. The ordered pair is in the form of (x,y), so you subtract the y's and put that in your numerator (top)and subtract your x's and put that in your denominators (bottom).
2 - (-4) would be your top number. To subtract a negative number is the same as adding a positive, so 2 - (-4) is the same as 2 +4, so your top number is 6.
Now, to find the bottom number, you subtract the x's.
5-2 which is 3.
We now have the top and the bottom number
6/3 which is the same as 2.
Answer:
E) 613.9 m2
Step-by-step explanation:
sum of measures of interior angles of a polygon of n sides:
(n - 2)180
For a pentagon:
(5 - 2)180 = 3(180) = 540
measure of one interior angle of a regular pentagon:
540/5 = 108
Draw a segment from the center of the pentagon to the top vertex. Now you have a right triangle.
The triangle has a 90 deg angle where the segment in the figure meets the side of the pentagon. Let half of the side of the pentagon be x. x is a side of the right triangle.
For the 54 deg angle in the triangle, 13 m is the opposite leg, and x is the adjacent leg.
tan A = opp/adj
tan 54 = 13/x
x = 13 m/tan 54 = 9.445 m
x is half of the side of the pentagon.
2x is the side of the pentagon.
2x = 2(9.445 m) = 18.89 m
The given 13 m segment is the apothem of the pentagon.
A = nsa/2
where n = number of sides, s = length of 1 side, a = length of apothem
A = (5)(18.89 m)(13 m)/2
A = 613.9 m^2
Answer: E) 613.9 m2
Answer:
Radical: 5√13
Decimal: 18.0
Step-by-step explanation:
Given the dimension of the board given as 10ft by 15ft
If the board is nailed diagonally, the length of the bracing board will be gotten using the pythagoras theorem;
d² = 10² + 15²
d² = 100 + 225
d² = 325
d = √325
Expressing in radical form;
d = √325
d = √25*13
d = 5√13
Hence the length of the board in radical form is 5√13 feet
Express in decimal form;
d = √325
d = 18.0
Hence the length of the board to the nearest tenth is 18.0 feet
Use the map app there's like photo math which might help there are other math apps you can look up to help you answer this
Answer is 12
Explanation: First combine like terms, so add 11 to 73.
Then, divide 84 by 7 to get n alone and you get 12.
