Lorinda has 10 books on her bookshelf. 6 of these books have blue covers, and 4 have red covers.

Mathematics

1 answer:

crimeas [40]3 years ago

5 0

Answer:

there is 60% chance it is blue and 50% its a fantasy one.

Step-by-step explanation:

6 out of 10 = 60%

3 out of 6 or 2 out of four is 50%

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How do I start off these problems?

Marina CMI [18]

First of all you have to make them equal to each other. What I mean is the following
3x+20=2x+40
Then you should just solve for x

8 0

3 years ago

2. Use the following picture for this question:

Art [367]

Answer:

a. $24\sqrt{3}$ and 41.6

b. 52.1

Step-by-step explanation:

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is $\sqrt{3}$

Thus, we can write $Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}$

Approximate value (rounded to nearest tenth): $24\sqrt{3} =41.6$

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

$Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1$