Answer:
67.38°
Step-by-step explanation:
The diagonals of a rhombus intersect at their midpoints and make a right angle. They also divide the angles of the rhombus in two equal angles.
So, to find the acute angle of the rhombus, we can use the tangent relation of half this angle in the small triangle made when drawing the diagonals:
tan(angle/2) = 4 / 6
tan(angle/2) = 0.666
angle/2 = 33.69
angle = 67.38°
So the acute angle of the rhombus is 67.38 degrees.
Please check the image attached for better comprehension.
Assuming that you mean 100cm in length, I think I know the answer, but message me if I’m wrong so that I can correct myself!!!
Volume is L • W • H where L is length, W is width, and H is height.
To find the volume you have to multiply all the dimensions, so 100 * 30 * 12 = 36,000, and since its 3 dimensional we use cm^3 which is centimetres cubed.
Answer:
C) 2094.40
nearest answer.
Step-by-step explanation:
Since the given region is bounded by y = x, y = 10 and x = 0
⇒ 0 ≤ y ≤ 10
Radius and Height are 'y'
∴ The required volume
= ∫₀¹⁰2π(radius)(height)dy
= ∫₀¹⁰2π (y) (y) dy
= ∫₀¹⁰2π y² dy
= 2π ∫₀¹⁰ y² dy
Integrate y
= ![2\pi [\frac{y^3}{3}]_0^{10}](https://tex.z-dn.net/?f=2%5Cpi%20%5B%5Cfrac%7By%5E3%7D%7B3%7D%5D_0%5E%7B10%7D)
= ![2\pi [\frac{10^3}{3} - 0]](https://tex.z-dn.net/?f=2%5Cpi%20%5B%5Cfrac%7B10%5E3%7D%7B3%7D%20-%200%5D)
= 
where π is 3.142
= 2,094.66
Answer:
38
Step-by-step explanation:
2 + ( (15 + 3) * 2)
2 + (18 * 2)
2 + (36)
= <u>38</u>
I think the surface area is 38
