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2 years ago

There are 8 times as many females as males on the maths course at university. What fraction

Mathematics

1 answer:

Serga [27]2 years ago

4 0

Answer:

8/9 of the course are males.

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Suppose each edge of the cube shown in the figure is 10 inches long. Find the sine and cosine of the angle formed by diagonals D

tatiyna

Check the picture below.

$sin(EDG )=\cfrac{\stackrel{opposite}{10}}{\underset{hypotenuse}{10\sqrt{3}}}\implies sin(EDG )=\cfrac{1}{\sqrt{3}}\implies sin(EDG )=\cfrac{1}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}} \\\\\\ \stackrel{\textit{rationalizing the denominator}}{sin(EDG )=\cfrac{\sqrt{3}}{\sqrt{3^2}}\implies sin(EDG )=\cfrac{\sqrt{3}}{3}} \\\\[-0.35em] ~\dotfill$

$cos(EDG )=\cfrac{\stackrel{adjacent}{10\sqrt{2}}}{\underset{hypotenuse}{10\sqrt{3}}}\implies cos(EDG )=\cfrac{\sqrt{2}}{\sqrt{3}}\implies cos(EDG )=\cfrac{\sqrt{2}}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}} \\\\\\ \stackrel{\textit{rationalizing the denominator}}{cos(EDG )=\cfrac{\sqrt{6}}{\sqrt{3^2}}\implies cos(EDG )=\cfrac{\sqrt{6}}{3}}$

4 0

2 years ago

A family wants to remodel a house and spend at most $135,000 total for the entire project. a)If the builder wants to make a 15%

Troyanec [42]

Jjjbbjujbujbb. In un cmk bye j Sheeeeeeeesh

3 0

2 years ago

Ian has 20 football cards, and Jason has 44 baseball cards. They agree to trade such that jason

Alina [70]

Answer:

12 trades

Step-by-step explanation:

Let's call 'x' the number of trades they will do.

After each trade, the number of cards Ian has increase by 1 (he gives 1 but receives 2), and the number of cards Jason has decrease by 1 (he receives 1 but gives 2), so after x trades, the number of cards Ian has is 20 + x, and Jason has 44 - x.

To find the number of trades when they will have the same amount of cards, we have that:

20 + x = 44 - x

2x = 24

x = 12 trades

8 0

3 years ago

Anybody can solve it ??<br><br>

Galina-37 [17]

Answer:

Calculus can be arranged in 5040 different ways in which the letter C's do not come together.

Step-by-step explanation:

Please mark as brainliest

8 0

2 years ago

A group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people's names into a hat. The first name d

nirvana33 [79]

Answer:

Step-by-step explanation:

A group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?

100

10! (10 factorial)

Youre Welcome! :)

5 0

3 years ago