Help I’ll mark you brainly!

Tim and Jim are working on a school project together. If he had to work by himself, it would take

Vladimir [108]

Answer: 6 hours

Step-by-step explanation:

Given, Tim and Jim are working on a school project together.

Tim takes 10 hours to complete the school project.

If Jim worked alone, it would take him 15 hours

Let t be the time they both take if they work together.

Then, $\dfrac{1}{t}=\dfrac{1}{\text{Time taken by Tim}}+\dfrac{1}{\text{Time taken by jim}}$

$\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{10}+\dfrac{1}{15}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3+2}{30}=\dfrac{5}{30}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow t=6$

So, it will take<u> 6 hours</u> to complete the school project together .

4 0

2 years ago

Doreen went to see her favorite sports team play. Her car can go 120 miles on one tank of gas. If she used 30% of a full tank of

son4ous [18]

Answer:

Doreen traveled 35 miles.

Step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35

3 0

2 years ago

Read 2 more answers

Given that x=3sinθ-2 and y=3cosθ+4.Show that (x+2)²+ (y-4)²=9

asambeis [7]

Answer:

First, plug-in x and y as 3sinθ-2 and 3cosθ+4 into the equation, respectively:

$((3\sin (\theta)-2)+2)^2 + ((3\cos (\theta)+4)-4)^2 = 9$

Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:

$(3\sin(\theta))^2+(3\cos(\theta))^2=9$

We can factor out 3^2 = 9 from both equations:

$9(\sin(\theta)^2+cos(\theta)^2) = 9$

We know from a trigonometric identity that $\sin(\theta)^2+cos(\theta)^2 = 1$ , meaning we can reduce the equation to:

$9(1) = 9$

$9=9$

And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sinθ-2 and y=3cosθ+4.

Hope this helped you.

7 0

2 years ago

How do you redraw a scale drawing with a new scale

rjkz [21]

Take measurements of what you want to draw, (e.g. a simple cube that is 100 cm x 100 cm x 100 cm.)
A full scale drawing would require you to draw the cube on a paper 100 cm x 100 cm x 100 cm.
If you want to 'scale', you would then redraw using new measurements. So, a 1/10 scale drawing would mean that you would redraw the cube on paper as 10 cm x 10 cm x 10 cm.
A 1/20 scale would be 5 cm x 5 cm x 5 cm. The same concept holds for all scale drawings.

3 0

2 years ago

Tessa had $90 in her checking account. She paid her cable/internet bill for $60. She deposited $50 from her part-time job before

Lady bird [3.3K]

90-60+50-65=15

$15 in her account

4 0

3 years ago

Read 2 more answers