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3 years ago

18. A secretary works a 40-hour week and is paid a basic rate of $22.50 per hour.

1 answer:

8 0

40 hours at $22.50 is $900. The additional 12 hours at $33.75 is $405.
900+405= 1305 so the secretary’s total wage is $1305

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A boat traveled 240 miles downstream and back. The trip downstream took 12 hours. The trip back took 24 hours. What is the speed

RoseWind [281]

Answer:

rate boat = 15 mph

rate current = 5 mph

explanation:

d = r * t

t = d/r

240 / (r_boat + current) = 12 Multiply both sides by r_boat + r_current.

240 = 12(r_boat + current)

240/ (r_boat - current) = 24 Multiply both sides by r_boat - r_current

240 = 24*(r_boat - current)

Since the distances are the same in both equations, you can equate the right side of each.

12 (r_boat + current) = 24(r_boat - current) Divide by 12

r_boat + current = 2 (r_boat - current) Remove the brackets.

r_boat + current = 2*r_boat - 2* current add 2 currents to both sides

r_boat + 3currents = 2*r_boat Subtract r_boat both sides

3 currents = r_boat.

240 = 12*(r_boat + current. Divide by 12

20 = r_boat + current Put 3 currents in for r_boat

20 = 3currents + 1 current Combine

20 = 4 currents Divide by 4

5 = current

The rate of the current = 5 miles / hour

3 currents = r_boat

3*5 = rate_boat

15 = rate of the boat

8 0

2 years ago

A circular railroad-crossing sign has a diameter of 30 inches.

Angelina_Jolie [31]

Diameter = 30

30/2 = 15 15 is the radius

To find area:

3.14 x 15 x 15 = 706.5

706.5 is the answer

6 0

2 years ago

If 4 raffle tickets is 6 dollars how much is 1 raffle ticket

sertanlavr [38]

4/6 = 1/x cross multiple so x= 1.5 dollars

8 0

3 years ago

Prove :<br>sin²θ + cos²θ = 1<br><br><br>thankyou ~

Gnom [1K]

Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

$\sf\longrightarrow sin^2\theta + cos^2\theta = 1$

Imagine a right angled triangle with one of its acute angle as $\theta$ .

The side opposite to this angle will be perpendicular .
Also we know that ,

$\sf\longrightarrow sin\theta =\dfrac{p}{h} \\$

$\sf\longrightarrow cos\theta =\dfrac{b}{h}$

And by Pythagoras theorem ,

$\sf\longrightarrow h^2 = p^2+b^2 \dots (i)$

Where the symbols have their usual meaning.

Now , taking LHS ,

$\sf\longrightarrow sin^2\theta +cos^2\theta$

Substituting the respective values,

$\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\$

$\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\$

$\sf\longrightarrow \dfrac{p^2+b^2}{h^2}$

From equation (i) ,

$\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\$

$\sf\longrightarrow \bf 1 = RHS$

Since LHS = RHS ,

Hence Proved !

I hope this helps.

5 0

2 years ago

Can you do this because it is confusing to me

erica [24]

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder is 1330.4644 cm³.

<h3>What is a cylinder?</h3>

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.

Given the height of the cylinder is 14 cm, while the diameter of the cylinder is 11 cm. Therefore, the volume of the cylinder can be written as,

The volume of the cylinder = (π/4)×(D²) × H

= (π/4)×(11)² × 14

= 1330.5 cm³

Hence, the volume of the cylinder is 1330.5cm³.

Learn more about Cylinder:

brainly.com/question/12248187

#SPJ1

3 0

2 years ago