Answer:
24.2
Step-by-step explanation:
There is but one answer to this. It appears below.
Let's try it out and see what happens. We'll do it the way it sits.
Sin 40/8 = sin(x) / 7 Multiply both sides by 7
7* Sin(40) / 8 = sin(x)
Sin(40) = 0.6428
7 * 0.6428 / 8 = sin(x)
.56245 = sin(x)
x = sin-1(0.56245)
x = 34.23
Rounded to the nearest tenth, it is 24.2
Answer: 6.9
Step-by-step explanation:
Answer:
$920
Step-by-step explanation:
The amounts added are the arithmetic sequence ...
1, 2, 3, ... 40
The average term of this sequence is (1 +40)/2 = 20.5. The sum of the terms of this sequence is the number of terms (40) multiplied by the average term (20.5). That product is ...
40·20.5 = 820
Chu-Li will have added $820 to her bank in 40 weeks, so the total there is ...
$100 +820 = $920 . . . amount Chu-Li will have 40 weeks from now
Answer: 250 mi
Step-by-step explanation:
Here we can think in a triangle rectangle:
The distance from Birmingham to Atlanta is roughly 150 mi, and this is one of the cathetus.
And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.
Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.
Now we can apply the Pythagorean's theorem:
A^2 + B^2 = H^2
Where A and B are the cathetus, and H is the hypotenuse:
Then:
H = √(A^2 + B^2)
H = √(150^2 + 200^2) mi = √(62,500) mi = 250 mi
Then the estimated distance from Atlanta to Nashville is 250 mi
It will take exactly 4 years for these trees to be the same height
Step-by-step explanation:
A gardener is planting two types of trees:
- Type A is 3 feet tall and grows at a rate of 7 inches per year
- Type B is 5 feet tall and grows at a rate of 1 inches per year
We need to find in how many years it will take for these trees to be the
same height
Assume that it will take x years for these trees to be the same height
The height of a tree = initial height + rate of grow × number of years
Type A:
∵ The initial height = 3 feet
∵ 1 foot = 12 inches
∴ The initial height = 3 × 12 = 36 inches
∵ The rate of grows = 7 inches per year
∵ The number of year = x
∴
= 36 + (7) x
∴
= 36 + 7 x
Type B:
∵ The initial height = 5 feet
∴ The initial height = 5 × 12 = 60 inches
∵ The rate of grows = 1 inches per year
∵ The number of year = x
∴
= 60 + (1) x
∴
= 60 + x
Equate
and 
∴ 36 + 7 x = 60 + x
- Subtract x from both sides
∴ 36 + 6 x = 60
- Subtract 36 from both sides
∴ 6 x = 24
- Divide both sides by 6
∴ x = 4
∴ The two trees will be in the same height in 4 years
It will take exactly 4 years for these trees to be the same height
Learn more:
You can learn more about the rate in brainly.com/question/10712420
#LearnwithBrainly