Answer: x= 0.463
Step-by-step explanation:
Given the equation √5 cos(x) − 2 = 0
To make 'x' the subject of the formula
√5cosx = 2
Cosx = 2/√5
Cosx = 0.89
x = arccos 0.89
x = 0.463
Answer:
C
Step-by-step explanation:
Answer:
x = 
Decimal Form: 2.5
Step-by-step explanation:
1) First, you have to simplify 2 − 3x + 3 to −3x + 5.
−x = −3x + 5
2) Next, You add 3x to both sides.
−x + 3x = 5
3) Then, Simplify −x + 3x to 2x.
2x = 5
4) Lastly, you divide both sides by 2 and you're done!
x = 
Decimal Form: 2.5
Answer:
Volume of the frustum = ⅓πh(4R² - r²)
Step-by-step explanation:
We are to determine the volume of the frustum.
Find attached the diagram obtained from the given information.
Let height of small cone = h
height of the large cone = H
The height of a small cone is a quarter of the height of the large cone:
h = ¼×H
H = 4h
Volume of the frustum = volume of the large cone - volume of small cone
volume of the large cone = ⅓πR²H
= ⅓πR²(4h) = 4/3 ×π×R²h
volume of small cone = ⅓πr²h
Volume of the frustum = 4/3 ×π×R²h - ⅓πr²h
Volume of the frustum = ⅓(4π×R²h - πr²h)
Volume of the frustum = ⅓πh(4R² - r²)
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