Answer:
The height of the lamp is 18.33 ft
Step-by-step explanation:
We can think in two triangle rectangles, one with cathetus of:
5.5ft and 6ft (the one formed by the woman ad her shadow)
And another triangle with cathetus equal to:
6ft + 14ft (the distance between the end of the shadow and the lamp)
And the other cathetus is the height of the lamp, H.
As bot triangles will share an angle (the one formed by the end of the shadow and the hypotenuse) then the triangles are equivalent, so the quotient between their cathetus will be equal, this is:
H/(6ft + 14ft) = 5.5ft/6ft
H/(20ft) = 5.5ft/6ft.
H = (5.5ft/6ft)*20ft = 18.33 ft
Answer:
84 cups of water will leak out after 2 weeks
Step-by-step explanation:
* Lets how many how to change oz to cup
- One cup contains 8 oz
- We can use the ratio to solve this problem
- A hose is leaking water at a rate of 2 oz/h
- We need to find how many cups of water will leak out after 2 weeks
∵ The rate of the water leak out is 2 oz/hr
∵ 1 cup contains 8 oz
∴ 1 oz = 
cup
∴ 2 oz = 2 × = 
= 
cup
∴ The rate of the water leak out = cup/h
∵ 1 day = 24 hours
∵ 1 week = 7 days
∴ 1 week = 7 × 24 = 168 hours
∵ The number of hours in 1 week is 168
∴ The number of hours in 2 weeks = 168 × 2 = 336 hours
⇒ cups : hours
⇒ : 1
⇒ x : 336
- By using cross multiplication
∴ x = 336 ×
∴ x = 84
- x represents the number of cups of water leak out
<em>84 cups of water will leak out after 2 weeks</em>
Step-by-step explanation:
15t + 30 = 20t | -15t
30 = 5t
t = 30/5 = 6
20 + 5t = -6t + 86 | + 6t
20 + 11t = 86 | -20
11t = 66
t = 6
18t + 20 = 24t + 50 | -18t
20 = 6t + 50 | -50
-30 = 6t
t = -30/6 = -5
18t - 2 = 10t + 54 | -10t
8t - 2 = 54 | +2
8t = 56
t = 56/8 = 7
7t - 5 = 15t + 91 | -7t
-5 = 8t + 91 | -91
-96 = 8t
t = -96/8 = -12
Answer:
$34.50
$1.01
Step-by-step explanation:
For these two problems, you must find a percent of a number. Since percentages can easily be turned into decimals, this is easy to do. First, turn the percent into a decimal by moving the decimal point two to the left; so, 6.25% becomes 0.0625. Then, multiply this number by the cost, 32.47. Finally add that, 2.02, to the cost to get the final answer, $34.50. For the next question do the same. Turn the percent into a decimal and then multiply that by the cost to get the total tax, $1.01.
Answer:
Step-by-step explanation:
A coin has two faces, a head (H) or tail (T). Tossing a coin twice in succession would give the following sample size;
{HH, HT, TH, TT}
Given that: A = first toss is heads, B = second toss is heads, then:
i. P(A) = {HH, HT} = 2
ii. P(B) = {TH} = 1
iii. P(A∩B) = {HH} = 1
iv. P(B /A) = 
