Answer:
a) See figure attached
b) 
c) 
So then the heigth for the building is approximately 30 ft
Step-by-step explanation:
Part a
We can see the figure attached is a illustration for the problem on this case.
Part b
For this case we can use the sin law to find the value of r first like this:
Then we can use the same law in order to find the valueof x liek this:
And that represent the distance between Sara and Paul.
Part c
For this cas we are interested on the height h on the figure attached. We can use the sine indentity in order to find it.
And if we solve for h we got:
So then the heigth for the building is approximately 30 ft
Answer:
8 and 6
Step-by-step explanation:
Two numbers are such that their difference, their sum, and their product are to
each other as 1:7:24. Their product must equal what number?
:
Two numbers a & b
Let x = the multiplier
:
a - b = 1x
a + b = 7x
a * b = 24x
:
Add the 1st two equations
a - b = x
a + b = 7x
2a = 8x
a = 4x
or
x = .25a
:
a * b = 24x
Replace 24x; a = 4x therefore:
a * b = 6a
b = 6
;
Using the 1st equation
a - b = 1x
Replace b with 6 and x with .25a
a - 6 = .25a
a - .25a = 6
.75a = 6
a =
a = 8
:
Find the multiplier
a - b = x
8 - 6 = 2
:
Check this
a - b = 2 (1*2)
a + b = 14; (7*2)
a * b = 48: (24*2)
:
The numbers are 8 and 6; their products = 48
Yes. Then the formula of the resultant water will be: 4H₂O
That, means four molecules of water.
Answer:
12 cups of water
Step-by-step explanation:
This question has to do with conversion
We are told that she buy 1 quart and 1/2 gallon of water.
Hence,
1 quart of water = 4 cups of water
1 gallon of water = 16 cups of water
1/2 gallon of water = x
Cross Multiple
x = 1/2 × 16 cups of water
x = 8 cups of water.
Therefore, the total cups of water that she bought = 4 cups of water + 8 cups of water = 12 cups of water
0.97 * 3000
= (0.97 * 3)*1000
= 2.91*1000
=2910
