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Stella [2.4K]
3 years ago
12

Find a if ZB = 25°, ZC = 48°, AC = 5.

Mathematics
2 answers:
Tpy6a [65]3 years ago
8 0

Answer:

11.3

Step-by-step explanation:

a = AC × sin(A)/sin(B)

Now <A =180-25-48 = 107

a = 5×sin(107)/sin(25)

a ≈ 11.3

Answered by GAUTHMATH

Andrej [43]3 years ago
4 0
11.3 my man, math 4ever
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In a bowl of fruit there are green grapes and black grapes in the ratio 3:4.If there are 24 green grapes how many black grapes a
xxMikexx [17]

Answer:

If there are 24 green grapes, then there would be 32 black grapes!

Step-by-step explanation:

First, identify what you know.

1) In a bowl of fruit, there are green grapes, and black grapes.

2) The ratio of green grapes to black grapes is 3:4

3) There are 24 green grapes

Simply divide 4 by 3!

4/3 = 1.3

24 x 1.3 = 32

Hope this helps! :)

5 0
3 years ago
Read 2 more answers
Find the solution set of the following quadratic equations using the quadratic formula.
oksian1 [2.3K]

Answer:

<h3>                1)  x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2</h3><h3>                2)   x_1=-\dfrac13\,,\quad x_2=-3    </h3>

Step-by-step explanation:

<h3>1)</h3>

x^2 - 7x + 9 = 0\quad\implies\quad a=1\,,\ b = -7\,,\ c=9\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot9}}{2\cdot1}=\dfrac{7\pm\sqrt{49-36}}2\\\\x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2

<h3>2)</h3><h3>3x^2 + 10x=-3\\\\3x^2+10x+3=0\quad\implies\quad a=3\,,\ b =10\,,\ c=3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-10\pm\sqrt{10^2-4\cdot3\cdot3}}{2\cdot3}= \dfrac{-10\pm\sqrt{100-36}}6\\\\x_1=\dfrac{-10+\sqrt{64}}6=\dfrac{-10+8}6=-\dfrac13\,,\qquad x_2=\dfrac{-10-8}6=-3</h3>
7 0
3 years ago
Please I need this quick!!! 15 points
professor190 [17]
Let the number be n.

Then:

n^2 + (1/n)^2 = 82/9; find n.  Find the LCD; it is 9n^2.

Mult all 3 terms by 9n^2:
                                                                  82*9n^2
9n^4 + 9 = (82/9)(9n^2)  =>    9n^4 + 9 = ------------  
                                                                        9
Then 9n^4 - 82n^2 + 9 = 0

I used my graphing calculator to find that n = 3.  

Let's check:     is 3^2 + (1/3)^2 = 82/9?
                        Is   9   + 1/9 = 82/9?
                        Is  81 + 1 = 82?   YES.  So, n=3 is a solution.

7 0
3 years ago
You are road tripping down the California coast and you notice you need to fill up your gas tank. In CA, sales tax is 2.25%. You
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Answer:

<em>$1.26</em>

Step-by-step explanation:

So you just have to find 2.25% of 56.

To find a certain percentage of something, you multiply it. Let's write out a sentence explaining what you need to do. You have to find:

2.25% of 56

Whenever you've got a sentence like this, all you've got to do is change the word "of" to a multiplication symbol. And now you've got an expression:

2.25% × 56

Let's convert the percentage to a decimal. To do this, you simply remove the percent symbol, then move the decimal point 2 places to the left.

2.25% = 0.0225

And now you have:

0.0225 × 56

Then you just do the math! I am assuming you already know how to do decimal multiplication so I'm not going to explain the process here.

But once you multiply 0.0225 × 56, you get an answer: 1.26

Hope this was helpful to you, and don't forget to choose the Brainliest answer!

7 0
3 years ago
A city received 2 inches of rain each day for 3 days. The meteorologist said that if the rain had been snow, each inch of rain w
hodyreva [135]
60 inches since there is 2 inches of snow for 3 days, so that equals 6 inches for 3 days and then you just have to multiply 6 by 10 and you get 60 inches of snow, or 5 feet
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3 years ago
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