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3 years ago

40 is 50 percent of which number

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

4 0

Answer:

Step-by-step explanation:

80 divided by 1/2 = 40 therefore 40 is 50% of 80

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Find the total volume of the composite figure below. Round to the nearest thousandth.

cestrela7 [59]

Answer:

The volume of the composite figure is approximately 3567.198 cubic feet.

Step-by-step explanation:

The composite figure consists in the combination of a right cone and a cuboid. The volume of the composite ( $V$ ), in cubic feet, figure can be determined by this expression:

$V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h + w\cdot H \cdot l$ (1)

Where:

$r$ - Radius of the circle of the right cone, in feet.

$h$ - Height of the cone, in feet.

$w$ - Width of the cuboid, in feet.

$H$ - Height of the cuboid, in feet.

$l$ - Length of the cuboid, in feet.

If we know that $r = 10\,ft$ , $h = 10\,ft$ , $w = 20\,ft$ , $H = 7\,ft$ and $l = 18\,ft$ , then the volume of the composite figure is:

$V = \frac{1}{3}\cdot \pi \cdot (10\,ft)^{2}\cdot (10\,ft) + (20\,ft)\cdot (7\,ft)\cdot (18\,ft)$

$V = \left(\frac{1000\pi}{3} + 2520\right)\,ft^{3}$

$V \approx 3567.198\,ft^{3}$

The volume of the composite figure is approximately 3567.198 cubic feet.

3 0

3 years ago

Evaluate −2(2/5)^10x for x=1/5.

kenny6666 [7]

Answer:

-8/25

Step-by-step explanation:

I took the test and i got it right

8 0

2 years ago

Given that tan θ ≈ 1.072, where 0 < θ < , 2 π find the values of sin θ and cos θ.

anygoal [31]

Answer:

The answer to your question is

sin Ф = 0.731 and sinФ = -0.731; cos Ф 0.682 and cos Ф = -0.682

Step-by-step explanation:

tan Ф = 1.072, 0 < Ф < 2 π, tan Ф is positive, find the solution in the first and third quadrangle.

- tan Ф = opposite side / adjacent side

- 1.072 / 1 = opposite side / adjacent side

- opposite side = 1.072 and adjacent side = 1

Calculate hypotenuse

c² = a² + b²

c² = 1.072² + 1²

c² = 2.149

hypotenuse = c = 1.466

First quadrangle

sin Ф = 1.072 / 1.466 = 0.731

cos Ф = 1 / 1.466 = 0.682

Third quadrangle

sin Ф = -1.072 / 1.466 = -0.731

cos Ф = -1 / 1.466 = -0.682

5 0

2 years ago

2x(x - 1) + 3x – 3 = 0

lozanna [386]

Answer:

x = -3/2 or x = 1

Step-by-step explanation:

3 0

2 years ago

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If the number of types of massages is represented by 4x + 3 and the number of types of manicures is represented by -6x + 5 and t

svetlana [45]

Answer:

Step-by-step explanation:

If the number of types of massages is represented by 4x + 3 and the number of types of manicures is represented by -6x + 5 and the number of types of pedicures is represented by 8x - 7, what is the expression for the total number of services they have to choose from?

6 0

2 years ago