Answer:
The ladder is 35.71 feet up the building
Step-by-step explanation:
Here, we want to calculate how far up the building is the ladder placed
We should picture a right angled triangle with hypotenuse 50 and one of the other sides as 35
To find the height in this case, we proceed to use Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides
In this case, let the height be
50^2 = 35^2 + h^2
h^2 = 50^2-35^2
h^2 = (50+35)(50-35)
h^2 = (85)(15)
h^2 = 1275
h = square root of 1275
h = 35.71 ft
Answer:
From least to greatest:
-2, 0.2, 1/2
Step-by-step explanation:
-2 is below 0. 0.2 is below 1/2 (0.5) and 0.5 is the highest.
Answer:
The number of friends that went out for dinner is 8
And their bill is $238
Step-by-step explanation:
Let's assume that the number of friends that went out for dinner to be x
And the bill for the dinner to be y
If each person contributed $32 and paid off the bill,they will have a balance of $18
32x - 18 = y_____equation 1
If each person contributed $35 and paid off the bill and also 15% tip,they will have a balance of $6.30
35x - 6.3 = y + (15% of y)
35x - 6.3 = y + (3y/20)
Open up the bracket
35x - 6.3 =(20y + 3y)/20
700x - 126 = 23y______equation 2
From equation 1,y = 32x - 18
Put the above in equation 2 and we have
700x - 126 = 23(32x -18)
700x - 126 = 736x - 414
collect like terms
36x = 288
x = 288/36
x = 8
Remember that equation 1 says that y = 32x - 18 and we now know that x = 8 .
Substitute and we have
(32 × 8) - 18
y = 238
The number of friends that went out for dinner is 8
And their bill is $238
For this case we have the following apple picking options, in dozens:
<em>Tyler:</em>
Tyler picked up a dozen.
<em>Olivia:</em>
Olivia collected 0.833 dozen apples.
<em>Samantha:</em>
Samantha collected 0.667 dozens of apples.
Thus, it is observed that Samantha collected the least amount of apples.
ANswer:
Samantha
Answer:
Option (1)
Step-by-step explanation:
We need a recursive formula.
The common ratio is 2.
- Eliminate options 2 and 4.
So, the answer is option 1.