Answer:
∠72°.
Step-by-step explanation:
If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:
Cross multiply:
Divide both sides by '20':
x = 72°.
Therefore, the measure of the central angle of the arc is ∠72°.
^^ they’re right so hope it helps
Answer:
-16
Step-by-step explanation:
Given the sequence:
b(n)=b(n−1)−7, where b(1)=−2
b(2)=b(2−1)−7
=b(1)−7
=-2-7
b(2)=-9
Therefore, the 3rd term of the sequence
b(3)=b(3−1)−7
=b(2)-7 (Recall b(2)=-9 from above)
=-9-7
b(3)=-16
The 3rd term of the sequence is -16.
We know, Volume of a Cone = πr² h/3
v = 3.14 * (6)² * 11.4/3
v = 3.14 * 36 * 3.8
v = 429.552
Now, for 1 m³, it costs = $20
So, for 429.552 m³, it will be: 20 * 429.552 = 8591
In short, Your Answer would be $8591
Hope this helps!
Answer:
23.6°
Step-by-step explanation:
In this question we have to use some trigonometry to work out angle XVW. Since we are working out angles all of the trigonometric functions will have to be to the ⁻¹. The first thing we need to identify is will formula will we use out of the following:
Sin⁻¹ = Opposite ÷ Hypotenuse
Tan⁻¹ = Opposite ÷ Adjacent
Cos⁻¹ = Adjacent ÷ Hypotenuse
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10 = Hypotenuse
4 = Opposite
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We know which formula to use because the length won't be in the triangle for example we will be using the Sin triangle because we don't have an adjacent. If we don't have an adjacent then the other formula's won't work.
Now we substitute in the values to find the value of angle XVW
Sin⁻¹ = Opposite ÷ Hypotenuse
Sin⁻¹ = 4 ÷ 10
The value of angle XVW is 23.57817848
