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poizon [28]
3 years ago
10

What are the values of the trigonometric ratios for this triangle?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0

Answer:

sin© = 3/5

Cos© = 4/5

Tan© = 3/4

Explanation:

The opposite (opp) side of the right angle triangle is the side facing the angle ©

The hypothenus (hyp) side is the longest side,

The adjacent (adj) side is the third side.

sin© = opp/hyp

Cos© = adj/hyp

Tan© = opp/adj

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A caterer makes 15 3/4 quarts of tomato soup. He pours 2 cups of soup into each bowl. How many quarts of soup are in each bowl?
Sindrei [870]

<u>ANSWER:  </u>

There are 0.5 quarts in each bowl. There are 31 fully filled bowls. And left over soup is 1 cup of soup.

<u>SOLUTION: </u>

Given, a caterer makes $15 \frac{3}{4}$ which is equal to $\frac{63}{4}$ quarts of tomato soup.  

He pours 2 cups of soup into each bowl.  

Now let us find how many quarts of soup are in each bowl?  

We know that, 1 us liquid quart equals to 4 us cups.

Then, 1 quart = 4 cups

1 cup = \frac{1}{4} quarts

Here, in each bowl caterer pours two cups,

So, 2 cups = $2 \times \frac{1}{4}$ quarts

= \frac{1}{2} = 0.5 quarts

Hence, there are 0.5 quarts in each bowl.

Now let us find how many 2-cup bowls of soup can the caterer fill to the top?  

From above part, we know that, each bowl has 0.5 quarts.

Then, total bowls with 2- cups of soup = $\frac{\text {total soup}}{\text {soup in one bowl}}$

$=\frac{\frac{63}{4}}{\frac{1}{2}}$

=\frac{63}{4} \times \frac{2}{1}$$=\frac{63}{2}$$=31.5$

Here, 0.5 means that a bowl which is not filled to the top. So there are 31 fully filled bowls.

Now, let us find how many cups of soup are left over?

From above part we saw that, there are 31 fully filled bowls but there is a bowl with 0.5 quarts and which is not fully filled.

So, it is the amount of soup which is left over. i.e. 0.5 times of a bowl.

We know that, each bowl will have two cups.

Here left over bowl has half of it filled with soup

So the left over soup is 1 cup of soup.

5 0
3 years ago
A basketball player made 40% of the shots she attempted.if she made 32 baskets, how many shots did she attend?
malfutka [58]
32 divde by 2 = 16 (50%) 
32 divde by 10 = 3.2 (10%) 
16 - 3.2 = 12.8 (40%)
3.2 times 4 = 12.4 (40%)

You would round the number to the nearest whole because you can't make a . of a shot. Therefore the answer would be that she made 12 shots.

Hope this helps! 
6 0
3 years ago
GUYS AGAIN PLEASE HELP 1 MILLION POINTS, get it wrong i report you!!
Evgesh-ka [11]

Answer:

Sweats heavily , I hope the answer is FALSE

Step-by-step explanation:

Is it right. Please mark Brainliest if is.

4 0
3 years ago
Which figures will have a volume that is greater than 100 cubic units? Select two options.
igor_vitrenko [27]

Answer:

B and D

Step-by-step explanation:

5 0
2 years ago
A car is traveling at a speed of 79 feet per second. (a) what is its speed in kilometers per hour?
AysviL [449]
79 ft/s = 0.0240792 km/s

0.0240792 x 60 = 1.444752 km/minute
<span>1.444752 x 60 = </span><span>86.68512 km/hour
</span>
Ans: 86.69 km/h
6 0
3 years ago
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