Answer:
Demetrius's account is $84 higher after the two transactions
Step-by-step explanation:
Let
x -----> original amount in Demetrius's account
y ----> amount in Demetrius's account after the deposit and the withdraws
we know that
The amount in Demetrius's account after the two transactions must be equal to the original amount in Demetrius's account plus the deposit minus the withdraws
so


therefore
Demetrius's account is $84 higher after the two transactions
Using trigonometric relations, we will see that:
sin(θ ) = -0.8
<h3>
How to get the sine of the angle?</h3>
For any point (x, y), the angle between the positive x-axis and the ray that connects the origin with the point (x, y) is:
θ = Atan(y/x)
In this case, the point is (3, -4), then the angle is:
θ = Atan(-4/3) = -53.13°
Then the sine of theta is:
sin(θ = -53.13°) = -0.8
If you want to learn more about trigonometric functions:
brainly.com/question/8120556
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Answer:
Vc = (π/3)✓17 ≈ 4.12 ft³
Step-by-step explanation:
h = ✓(4²+1²)
h = ✓17
V = πr²h/3
V = π(1)²✓17/3
V = (π/3)✓17 ≈ 4.12
9514 1404 393
Answer:
5544 square units
Step-by-step explanation:
Translation does not change the dimensions of the figure. The two figures together tell you the right triangle has a base of 154 units and a height of 72 units.
The area of a triangle is given by ...
A = 1/2bh
A = 1/2(154 units)(72 units) = 5544 square units
The areas of each of the triangles are 5544 square units.
Answer:
14
Step-by-step explanation:
We can find the sum of these numbers by adding them together.
The cumulative rule of addition lets us add numbers together in any order we want.
So, for 2 + 3 + 4 + 5 …
2 + 3 = 5
So now we have 5 + 4 + 5
5 + 4 = 9
Now we have 9 + 5
And 9 + 5 = 14
So, your answer is 14
Hope this helps!