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4 years ago

If the point (3/5,4/5) corresponds to an angle theta in the unit circle, what is csc ?

1 answer:

7 0

We have a triangle:
the side opposite the angle Ф is 4/5,
The side adjacent the angle Ф is 3/5

1) we calculate the hypotenuse, by the Pythagoras Theorem:
h=√[(4/5)²+(3/5)²]=1

2) we calculate the csc of Ф
csc Ф= hypotenuse / opposite side

csc Ф=1/ (4/5)=5/4

Answer: e. 5/4

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Write each decimal as a fraction or mixed number in simplest form. 1 3/8

Mnenie [13.5K]

3/2

Step One: 1 3/8, transform the number into a improper fraction:

To have a mixed number in to a improper fraction, you need to use addition and multiplication. For 1 3/8, We first multiply the denominator (8, also know to be the bottom number of the fraction) to the whole number (1). 8x1= 8
NOTE: The original denominator (8) will be use for are improper, again playing as the denominator, we only multiply the denominator for the numerator (which is the top number of a fraction).
After multiplying, we'll add are product with the numerator (3) for the process. 8+3= 12
Now we have both numerator and denominator for 1 3/8, we can create the improper fraction. 12 as the numerator and 8 as the denominator. 12/8
We still need to simplify the number. To that, we need the biggest whole number, or rather I call it the lowest number, that can be divide both in 12 and 8.
4 can be divide by both number so: 12/4= 3 and 8/4=2
Now 3 is are simplify numerator and 2 is are simplify denominator.

8 0

3 years ago

B = 54°, b=15, c= c = ? (Round answers to the nearest hundredth.)

zaharov [31]

Answer:

18.54

Step-by-step explanation:

sine is opposite/hypotenuse, and you have opposite (b=15), so use that

sin(54) = 15/c

c = 15/sin54

then use calculator

c = 18.54

8 0

2 years ago

If two boxes of cereal and a jug of milk cost $8.50, and three boxes of cereal and two jugs of milk cost $14.00, how much does a

Citrus2011 [14]

Answer:

Step-by-step explanation:

Let c represent the cost of a box of cereal and let m represent the cost of a jug of milk.

Create a system of equations:

2c + m = 8.5

3c + 2m = 14

Solve by elimination by multiplying the top equation by -2:

-4c - 2m = -17

3c + 2m = 14

Add them together and solve for c:

-c = -3

c = 3

So, a box of cereal costs $3

3 0

3 years ago

Find the values of x when y=1

kirill [66]

Answer:

$x=1+\sqrt{5}, 1-\sqrt{5}$

Step-by-step explanation:

$x^{2} -2x-4=0$
$(x-1)^{2} -1-4=0$
$(x-1)^{2} -5=0$
$(x-1)^{2} =5$
$x-1=\sqrt{5} ,-\sqrt{5}$
$x=1+\sqrt{5} , 1-\sqrt{5}$

FINAL ANSWER

$x=1+\sqrt{5} , 1-\sqrt{5}$

In Decimal Form (Rounded to 3 significant figures)

x≈-1.24, 3.24

6 0

4 years ago

Read 2 more answers

What values of b satisfy 3(2b+3)^2 = 36

Maslowich

$\frac{-3 +/- 2 \sqrt{3} }{2}$

Start by dividing both sides by 3. Then take the square root of both sides. Then subtract 3 from both sides and divide by 2.

5 0

3 years ago

Read 2 more answers