Answer:
Step-by-step explanation:
a.6/1/2=x
b. 12
9514 1404 393
Answer:
49.3 feet
Step-by-step explanation:
Shadow lengths and object heights are considered to be proportional, so we have ...
tree height/(tree shadow) = Andrew's height/(Andrew's shadow)
height / (85 ft) = (5.8 ft)/(10 ft)
height = (85 ft)(5.8/10) = 49.3 ft
The tree is 49.3 feet tall.
Answer:
C
Step-by-step explanation:
Take sides AD and MP.
6 in. in ADCB is 3/2 * 4 in. in MPON
Step-by-step explanation:
Let's say the two digit number is 10x + y, where x is the first digit and y is the second digit.
The sum of the digits is 8:
x + y = 8
If 8 is subtracted from the number, the digits switch place.
10x + y − 8 = 10y + x
Simplify the second equation:
9x − 8 = 9y
Substitute from the first equation.
y = 8 − x
9x − 8 = 9 (8 − x)
9x − 8 = 72 − 9x
18x = 80
x = 4.444
There's a problem. x isn't an integer. Are you sure you copied the problem correctly? Perhaps you meant if 18 is subtracted from the number, the digits switch place.
9x − 18 = 9 (8 − x)
9x − 18 = 72 − 9x
18x = 90
x = 5
y = 8 − x
y = 3
So the number is 53.
First, let’s find the area of the larger square. We know that the smaller square extend out 2ft and is2ft up. Well take these measures, and subtract the 2ft from the 12 ft at the top, and get 10ft, then add the 2ft to the left side, and find that it’s 6ft. We have these measures: 6ft 6ft 10ft 10ft for the larger rectangle. Let’s find the area. The are formula for a rectangle is Base(10ft) times height(6ft) . Thus 60ftsqrd. Next, let’s do the smaller rectangle. We do the same formula, 4 times 2, and get 8ftsqrd, add them together: 60ft + 8ft = 68ft!
