Answer:
C. (2,4)
Step-by-step explanation:
Answer:
1202404.6
Step-by-step explanation:
1,200,000 + 2400 =1202400
1202400 + 4.6 = 1202404.6
By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.
<h3>How to prove this point lies on the unit circle?</h3>
In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 120
Reference angle = 60°.
For the coordinates, we have:
sin(-120) = -sin(60) = -1/2.
cos(-120) = -cos(60) = -√3/2.
By applying Pythagorean theorem, we have:
z² = x² + y²
z = √((-1/2)² + (-√3/2)²)
z = √(1/4 + 3/4)
z = √1
z = 1.
Read more on unit circle here: brainly.com/question/9797740
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Answer: 45 years old
Step-by-step explanation:
<u>Given:</u>
- Father's age is thrice the sum of ages of his two children
- After five years, his age will be twice the sum of their ages
Let x be the two children's current age and 3x be the father's current age
<u>Solve:</u>
Set equation
3x + 5 = 2 ( x + 10 )
Expand parenthesis
3x + 5 = 2x + 20
Subtract 5 on both sides
3x + 5 - 5 = 2x + 20 - 5
3x = 2x + 15
Subtract 2x on both sides
3x - 2x = 15
x = 15
15 × 3 = 45 years old
Hope this helps!! :)
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Answer:
The flip flops cost $25.56 after the discount and tax.
Step-by-step explanation:
A pair of flip flops is $30. This is our starting amount.
The tax will be applied on the price the flip flops are bought for. This means we must apply the discount first.
The discount is 20%. Let's find what the flip flops were sold for.
If the discount is 20%, the flip flops were sold for 80% of their original price. Let's find 80% of 30.
80% of 30 = ?
0.80 • 30 = ?
= 24
The flip flops were sold for $24.
Now we have to apply a 6.5% tax. To find the amount of money added to the total, we need to find 6.5% of 24.
6.5% of 24 = ?
0.065 • 24 = ?
= 1.56
The tax was $1.56.
We need to add the tax to the discounted price.
1.56 + 24 = ?
= 25.56
The flip flops cost $25.56 after the discount and tax.
Hope this helps!