51,200 divided by 52. (52 weeks in a year.) 984.615385 is answer. So each week he gets paid $984.62. So then we multiply that by 3 since we are finding 40% of 3 weeks of pay. $984.62x3= $2953.86. Then we multiply that by 40%.. $2953.86x40%= Answer is $11181.54

4 0

1 year ago

"Suppose that Novak Djokovic and Roger Federer are playing a tennis match in which the first player to win three sets wins the m

o-na [289]

Answer: it could end in 20 different ways.

Step-by-step explanation:

This match could be

3x0 D or F

3x1 D or F

3x2 D or F

For 3x0

We have 2 options: DDD or FFF

2.P₁ = 2.1 = 2

For 3x1

We have 6 options

DFDD FDFF

DDFD FFDF

FDDD DFFF

2.3.1 = 6

For 3x2

we have 12 options:

DFDFD FDFDF

DDFFD FFDDF

DFFDD FDDFF

FFDDD DDFFF

FDFDD DFDFF

FDDFD DFFDF

2.3.2 = 12

In total we could have 20 outcomes.

5 0

2 years ago

The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58° to 3

viva [34]

Answer:

119.45 m

Step-by-step explanation:

Given:

When angle of elevation of the sun changes from 58° to 36° the length of shadow of a pole increases by 90 m.

To find:

Length of pole = ?

Solution:

Kindly refer to the attached image.

$\triangle ABC$ represents the 1st angle of elevation of sun i.e. 58°

$\triangle ABD$ represents the 2nd angle of elevation of sun i.e. 36°

Change in shadow is represented by CD = 90 m

Let height of pole, AB = $h$ m

Let side BC = $x$ m

Now, let us apply tangent rules in $\triangle ABC, \triangle ABD$ one by one:

$tan\theta = \dfrac{Perpendicular}{Base}\\\Rightarrow tan58^\circ=\dfrac{AB}{BC}\\\Rightarrow tan58^\circ=\dfrac{h}{x}\\\Rightarrow x = 0.624h ..... (1)$

$tan36^\circ = \dfrac{h}{x+90}$

Putting value of $x$ using equation (1):

$tan36^\circ = \dfrac{h}{0.624h+90}\\\Rightarrow 0.726\times 0.624h+0.726\times 90 = h\\\Rightarrow h-0.453h =65.34\\\Rightarrow \bold{h = 119.45\ m}$

119.45 m is the height of pole.

7 0

2 years ago