The first figure has 3 angles, the second one has 4 angles, the third one has 5 angles so the next one will have 6 angles.
The violet figures inside stick with each side of the outer figures in the middle, so the last figure will look more less like in the attachment.
Answer:
= 
units
Step-by-step explanation:
x₁ = 2 ; y₁ = 5
x₂ = 6 ; y₂ = -1
D = 
=
=
= 
D = units
Answer:
$7153.03
Step-by-step explanation:
To find the total amount after 3 years, we can use the formula for compound tax:
P = Po * (1+r/n)^(t*n)
where P is the final value, Po is the inicial value, r is the rate, t is the amount of time and n depends on how the tax is compounded (in this case, it is semi-annually, so n = 2)
For our problem, we have that Po = 5000, r = 12.3% = 0.123, t = 3 years and n = 2, then we can calculate P:
P = 5000 * (1 + 0.123/2)^(3*2)
P = 5000 * (1 + 0.0615)^6
P = $7153.029
Rounding to the nearest cent, we have P = $7153.03
Answer:
Step-by-step explanation:
so you will move constant to the right side and change the sign. 72x=223-7
then you will subtract the numbers 72x=223-7 and that will give you 72=216
then you will divide both sides by 72 and that will give you
- x=3 .
The cosine is the ratio of hypotenuse and base. Then the measure of the angle ∠L will be 60°.
<h3>What is trigonometry?</h3>
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The right-angle triangle is given below.
The length of the hypotenuse is 16 and the base length is 5.
Then the measure of the angle ∠L will be
cos L = 5 / 10
cos L = 1 / 2
L = cos⁻¹ (1 / 2)
L = 60°
More about the trigonometry link is given below.
brainly.com/question/22698523
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