Answer: 14
Step-by-step explanation:
Okay so it asks in all, which means morning distance + afternoon distance
We got the afternoon distance so now we have to find the morning one
it says the afternoon distance (6), is 25% less than the morning distance.
Which means the afternoon distance is 0.75 of the morning distance.
so 0.75x = 6, x = 6/0.75 = 8
Then you add 8 to 6 to get 14
STEP 1:
convert meters to centimeters
100 cm= 1 meter
= 100 cm/m * 2.5 m
= 250 cm
STEP 2:
x= length of first shelf
2x+18= length of second shelf
x-12= length of third shelf
x+4= length of fourth shelf
since the whole board has to be used, add lengths of all shelves and set it equal to the whole length of the board (250 cm).
x + (2x+18) + (x-12) + (x+4)= 250 cm
combine like terms
5x + 10= 250
subtract both sides by 10
5x= 240
divide both sides by 5
x= 48
STEP 3:
find length of second shelf
= 2x + 18
= 2(48) + 18
= 114 cm
CHECK:
x + (2x+18) + (x-12) + (x+4)= 250
48 + (2(48)+18) + (48-12) + (48+4)= 250
48 + (96+18) + 36 + 52= 250
48 + 114 + 36 + 52= 250
250= 250
ANSWER: Shelf two is 114 cm.
Hope this helps! :)
Answer:
16
Step-by-step explanation:
count number to number which increase
2+2
4+3
7+4
11+5
To get the perimeter of the trapezoid, we will add the lengths of the 4 sides together.
So, first we will need to get the length of each side.
Base of trapezoid = 8 - 2 = 4 unitsThe upper edge of the trapezoid = 6 - 4 = 2 unitsNow, for the two side edges, we can note that
they are both equal. So, we need to get only one length (as the other would be the same). I will get the length of the left side.
Coordinates of the start point are (2,4) which represent (x1,y1)
Coordinates of the end point are (4,9) which represent (x2,y2)
To get the distance between the two points, we will use the rule attached in the image below as follows:
distance = sqrt ((4-2)^2+(9-4)^2)
distance = √29
Therefore, each of the side edges equal √29 unitsFrom the above, we can now easily get the perimeter as follows:perimeter = 6 + 2 + √29 + √29
perimeter = 8 + 2√29 units
Based on the above calculations, the best choice would be:D. 8 + 2√29 units
Add up the sides and you will get your perimeter