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3 years ago

A tree 4.7 m tall casts a shadow 8.2 m long. Calculate the angle of elevation of the sun.

Mathematics

1 answer:

EleoNora [17]3 years ago

3 0

Answer:

9.45

Step-by-step explanation:

A^2 + B^2 = C^2

4.7^2 + 8.2^2 = C^2

22.09 + 67.24 = C^2

89.33 = C^2

Square Root It

C = 9.45

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Hey I’ve got the answer for the first question but I’m stuck on this one 5^-3 X 2^-1

Phantasy [73]

Answer:

See below

Step-by-step explanation:

6ˣ = 1/216
6ˣ = 1/6³
6ˣ = 6⁻³
x = -3

5⁻³ × 2⁻¹ =
1/5³ × 1/2 =
1/(125×2) =
1/250 or 0.004

8 0

2 years ago

Which statement about the inequality 215<235 is true? On the vertical number line, 215 is located below 235. On the vertical

masha68 [24]

On vertical line 215 is located below 235

4 0

3 years ago

I need help answering the question in the picture provided

adoni [48]

answer:

(a).

Equation of circle is x² + y² - 25 = 0

(b).

(-5, 0) » yes

(√7, 1) » no

(-3, √21) » no

(0, 7) » no

Step-by-step explanation:

(a).

If centred at origin, centre is (0, 0)

General equation of circle:

${ \boxed{ \bf{ {x}^{2} + {y}^{2} + 2gx + 2fy + c = 0}}}$

but g and f are 0:

${x}^{2} + {y}^{2} + c = 0 \\ but : \\ c = {g}^{2} + {f}^{2} - {r}^{2} \\ c = { - 25}$

8 0

3 years ago

Please help, I’ve looked everywhere and haven’t found any answers!

Sergio [31]

Answer:

m = 4 + (2n)/(3)

Step-by-step explanation:

Move all terms that contain m to the right side and solve it.

7 0

3 years ago

PLEASE HELP: The mass of a ball is 128 g. It has a density of 0.5 g/cm³. What is the volume of the ball? Show your work and plac

tiny-mole [99]

Answer:

Part 1) The volume of the ball is 256 cm³

Part 2) The radius of the ball is 3.94 cm

Step-by-step explanation:

Part 1) we know that

The density is equal to divide the mass by the volume

D=m/V

Solve for the volume

The volume is equal to divide the mass by the density

V=m/D

In this problem we have

m=128 g

D=0.5 g/cm³

substitute

V=128/0.5=256 cm³

Part 2) what is the radius of the ball?

we know that

The volume of the sphere (ball) is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$V=256\ cm^{3}$

assume

$\pi =3.14$

substitute and solve for r

$256=\frac{4}{3}(3.14)r^{3}$

$768=(12.56)r^{3}$

$r^{3}=768/(12.56)$

$r=3.94\ cm$

7 0

3 years ago