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3 years ago

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Mathematics

1 answer:

worty [1.4K]3 years ago

8 0

Answer:

P = 15.71 cm

Step-by-step explanation:

Given that,

The diameter of the semicircle, d = 10 cm

Radius, r = 5 cm

The perimeter of the semicircle is given by :

$P=\dfrac{\text{The perimeter of the circle}}{2}\\\\=\dfrac{2\pi r}{2}\\\\=\pi r\\\\=3.142\times 5\\\\=15.71\ cm$

So, the perimeter of the semicircle is 15.71 cm.

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HELPPPPP! Points scored in a basketball game vary directly with shots taken. If a player scores 50 points , and takes 40 shots ,

Veseljchak [2.6K]

Answer:

Points scored in a basketball game vary directly with shots taken.

This means that this question can be solved

by proportions, using a rule of three.

How many would she have scored if she takes 60 shots?

Using a rule of three:

50 points - 40 shots

x points - 60 shots

Applying cross multiplication:

4x = 50 × 60

Divide from both sides

x = 50 × 1.25 = 75

Answer is 75

Step-by-step explanation:

Here is a easier explanation if you didn't understand clearly:

It asked for how many 60 shots would score.

You would look at the first time he scored which is 50 and took 40 shots. Divide them

50 ÷ 40 = 1.25 or 1.5

So now you know each point scores 1.25 or 1.5

Now you multiply 1.25 or 1.5 with how many shots to see how much was scored and in this case 60 shots.

60 × 1.25 or 60 × 1.5

& They both end up equaling just the same, 75.

Hope it made sense :)

3 0

3 years ago

How can you rewrite simple rational expressions in different forms using long division?

zalisa [80]

Step 1: Factor both the numerator and denominator of the fraction. Step 2: Reduce the fraction. Step 3: Rewrite any remaining expressions in the numerator and denominator. Step 1: Factor both the numerator and denominator of the fraction.

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3 years ago

A closed container has 6.08 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams. Which of the following shows

ipn [44]

Total mass = 6.08 x 10^23 * 1.67 x 10^-24 = 1.01536

7 0

3 years ago

Read 2 more answers

Naomi has 45 minutes to get ready for school she spends x minutes getting dressed write an expression that respetents the number

andriy [413]

ANSWER

$(45 - x) \: minutes$

EXPLANATION

Total minutes Naomi has at her disposal is 45 minutes.

The number of minutes she spends getting dressed is

$x$

To find the number of minutes she still has to get ready, we subtract the minutes spent from the total minutes.

The number of minutes she still have to get ready is

$(45 - x) \: minutes$

5 0

3 years ago

A bag contains purple marbles and blue marbles, 41 in total. The number of purple marbles is 4 less than 2 times the number of b

Andreas93 [3]

Answer:

There are 26 purple marbles in the bag.

Step-by-step explanation:

1) We have purple (p) and blue (b) marbles in a bag, and 41 marbles total so:

p+b = 41

2) we want to know how many purple marbles we have, so let's rearrange for p:

p = 41 - b

3) Our problem gives us an expression for the purple marbles in terms of the blue, let's write it using math symbols instead of words:

<em>"The number of purple marbles is 4 less than 2 times the number of blue marbles."</em>

so: p = 2b - 4

3) Now we're going to plug this in (or substitute it) for our p in our first equation, and solve for b

p = 41 - b

2b - 4 = 41 - b (substitution)

2b = 45 - b ( add 4 to both sides)

3b = 45 (add b to both sides)

b = 15 (divide both sides by 3)

4, last step!)

Now we know we have 15 blue marbles, that's great! But we still want to know how many purple marbles we have.

41- 15 = 26 purple marbles

4 0

3 years ago