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VARVARA [1.3K]
3 years ago
8

6 numbers are shown

Mathematics
1 answer:
Sonja [21]3 years ago
8 0

Answer:

-1\frac{1}{2}, -\frac{3}{4}, -\frac{37}{50}, \frac{5}{4}, 1\frac{1}{4}, 2\frac{3}{4}

Step-by-step explanation:

1\frac{1}{4} , -1\frac{1}{2},  -\frac{37}{50}, -\frac{3}{4}, 2\frac{3}{4},  \frac{5}{4}

Order everything, negative to the left side and positive to the right side

<u><em>Negative numbers:</em></u>

-1\frac{1}{2}, -\frac{37}{50}, -\frac{3}{4}

<u><em>Positive numbers:</em></u>

1\frac{1}{4}, 2\frac{3}{4}, \frac{5}{4}

<em><u>Now order it on a number line:</u></em>

-1\frac{1}{2}, -\frac{3}{4}, -\frac{37}{50}, \frac{5}{4}, 1\frac{1}{4}, 2\frac{3}{4}

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So I'm in an online class of geometry and one of the units is trig. but no matter how long i keep learning or trying to learn th
Arturiano [62]

Answer and explanation:

There are six main trigonometric ratios, namely: sine, cosine, tangent, cosecant, secant, cotangent.

Those ratios relate two sides of a right triangle and one angle.

Assume the following features and measures of a right triangle ABC

  • right angle: B, measure β
  • hypotenuse (opposite to angle B): length b

  • angle C: measure γ
  • vertical leg (opposite to angle C): length c

  • horizontal leg (opposite to angle A): length a
  • angle A: measure α

Then, the trigonometric ratios are:

  • sine (α) = opposite leg / hypotenuse = a / b
  • cosine (α) = adjacent leg / hypotenuse = c / b
  • tangent (α) = opposite leg / adjacent leg = a / c

  • cosecant (α) = 1 / sine (α) = b / a
  • secant (α) = 1 / cosine (α) = b / c
  • cotangent (α) = 1 / tangent (α) = c / b

Then, if you know one angle (other than the right one) of a right triangle, and any of the sides you can determine any of the other sides.

For instance, assume an angle to be 30º, and the lenght of the hypotenuse to measure 5 units.

  • sine (30º) = opposite leg / 5 ⇒ opposite leg = 5 × sine (30º) = 2.5
  • cosine (30º) = adjacent leg / 5 ⇒ adjacent leg = 5 × cosine (30º) = 4.3

Thus, you have solved for the two unknown sides of the triangle. The three sides are 2.5, 4.3, and 5.

7 0
3 years ago
Heather has divided ​$5400 between two​ investments, one paying 8​%, the other paying 5​%. if the return on her investment is ​$
Phantasy [73]

Answer:

$2500 at 8%.

$2900 st 5%.

Step-by-step explanation:

Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.

We have been given that Heather has divided ​$5400 between two​ investments. We can represent this information as:

x+y=5400...(1)

The return on her investment is ​$345.  

Earnings from the investment at 8% will be 8% of x.

Earnings from the investment at 5% will be 5% of y.

(\frac{8}{100})x+(\frac{5}{100})y=345...(2)

0.08x+0.05y=345...(2)

We will use substitution method to solve our system of equations. From equation (1) we will get,

x=5400-y

Substituting this value in equation (2) we will get,

0.08(5400-y)+0.05y=345

432-0.08y+0.05y=345

-0.08y+0.05y=345-432

-0.03y=-87

\frac{-0.03y}{-0.03}=\frac{-87}{-0.03}

y=2900  

Therefore, Heather has invested an amount of $2900 at 5%.

Let us substitute y=2900 in equation (1) to solve for x.

x+2900=5400

x+2900-2900=5400-2900

x=2500

Therefore, Heather has invested an amount of $2500 at 8%.

6 0
3 years ago
I need help ASAP. If TU=10 and ST=15, What is the measure of the radius of the circle?
Svetach [21]

Answer:

5.6

Step-by-step explanation:

Use pythag to get SU. 10^2 + x^2 = 15^2, this will give you x = 11.2. 11.2 is the diameter of SU so divide it by 2 to get the radius. 11.2/2= 5.6.

3 0
2 years ago
I have a negative balance of $153 in my saving account. Every week, I save $17 and deposit it into my saving account. How many w
Komok [63]

Answer: 17x=153

It would take 9 weeks to reach a balance of 0.

Step-by-step explanation:

So what you would do, you would do as follows; you have a situation where is says "every week'' so you would put 17x=153. So to solve that, you would divide 153 by 17, and that's how you would get your answer of 9.

8 0
3 years ago
Whats 2+2 i dont know what it is
SOVA2 [1]

Answer:

4

Step-by-step explanation:

2+2=4

thanks:D

5 0
3 years ago
Read 2 more answers
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