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3 years ago

PLEASE HELP!!Sin <k=A. 1/2B. (sqrt3)/3C. 2D. 2sqrt3

Mathematics

1 answer:

algol [13]3 years ago

4 0

Answer:

1/2

Step-by-step explanation:

Sine is opposite over hyp.

So the opp is 5 and the hyp is 10

5/10 equal 1/2

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The vertices of a pentagon are located at (-5, 3).(-5, – 3),(4, -3).(0, 0), and (4, 3).

Anton [14]

24 units because you add it all up

7 0

3 years ago

Greatfull in advance :)

nydimaria [60]

Answer:

160 m

Step-by-step explanation:

For the 15-deg angle, h is the opposite leg.

The hypotenuse is 628 m.

The trigonometry ratio that relates the opposite leg and the hypotenuse is the sine.

sin A = opp/hyp

$\sin 15^\circ = \dfrac{h}{628~m}$

$h = 628~m \times \sin 15^\circ$

$h = 162.54~m$

Rounded to 2 significant figures:

h = 160 m

5 0

3 years ago

A hemispherical tank is filled with water and has a diameter of 14 feet. If water

tigry1 [53]

Answer:

$44,826.72\ \text{pounds}$

Step-by-step explanation:

Given that,

The diameter of a hemispherical tank= 14 feet

Radius, r = 7 feet

water

Water weighs 62.4 pounds per cubic foot.

We need to find the total weight of the water in a full tank to the nearest pound.

The volume of the hemisphere is given by :

$V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3$

If water weighs 62.4 pounds per cubic foot, it means

$V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}$

So, the total weight of the water is $44,826.72\ \text{pounds}$ .

3 0

3 years ago

The sum of the 8th element and the 12th element of an arithmetic progression

jeka94

Answer:

448

Step-by-step explanation:

aₙ = a₁ + (n-1)d

a₈ = a₁ + (8-1)d = a₁ + 7d

a₁₂ = a₁ + 11d

a₈ + a₁₂ = 246 = 2a₁ + 18d a₁ + 9d = 123

a₁₀ + a₁₄ = a₁ + 9d + a₁ + 13d = 298 a₁ + 11d = 149

2d = 26

d = 13

a₁ = 6

a₃₅ = 6 + (35-1) x 13 = 448

7 0

3 years ago

Determine the equation of the line passing through the points (-7,4) and (0,6)

Goryan [66]

A(-7,4) and B(0,6);
A(x₁,y₁) and B(x₂,y₂)
Equation form : y =mx+b

1st Calculate the slope m:

m=(y₂-y₁)/(x₂-x₁) = (6-4)/(0+7), m = 2/7
the equation becomes: y= 2/7.x +b

2nd Calculate b. to that end you plug any coordinates (either A or B) in the equation y=2/7.x + b:
Let's say I selected B(0,6)

6=2/7(0) +b and b =6

The final equation : y =(2/7).x + 6

6 0

3 years ago

PLEASE HELP!!Sin <k=A. 1/2B. (sqrt3)/3C. 2D. 2sqrt3​

PLEASE HELP!!Sin <k=A. 1/2B. (sqrt3)/3C. 2D. 2sqrt3