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1 year ago

How do you answer this?

Mathematics

1 answer:

gulaghasi [49]1 year ago

5 0

Answer:

75.7°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle. You are given all three sides of the triangle, so you can make use of at least two different trig functions to find the missing angle.

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

<h3>cosine</h3>

The hypotenuse is 65, and the side adjacent to the unknown angle is 16. That tells you ...

cos(?) = 16/65

The inverse function is used to find the angle value:

? = arccos(16/65) ≈ 75.7°

<h3>tangent</h3>

The side opposite the angle of interest is 63. Then you have ...

tan(?) = 63/16

The inverse function is used to find the angle value:

? = arctan(63/16) ≈ 75.7°

_____

<em>Additional comments</em>

When using trig functions on a calculator, you need to make sure the angle mode is set to what you want. Here, we want angles in degrees, so we have set that as the angle mode. The [DEG] icon in the lower left corner of the display confirms this.

We can't tell what you're supposed to round the value to. The attachment gives enough digits for you to be able to round to whatever precision you need.

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What is( 5×100)+(6x10)+(8×1/10)+(9×1/1,000) in standard form

nadya68 [22]

Answer:

6x^10+2504/5+(9*1/1,0)

Step-by-step explanation:

Hope this helps :)

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3 years ago

The function f(t) = t2 + 6t − 20 represents a parabola.

Novay_Z [31]

Part A: f(t) = t² + 6t - 20
  u = t² + 6t - 20
+ 20 + 20
u + 20 = t² + 6t
u + 20 + 9 = t² + 6t + 9
u + 29 = t² + 3t + 3t + 9
u + 29 = t(t) + t(3) + 3(t) + 3(3)
u + 29 = t(t + 3) + 3(t + 3)
u + 29 = (t + 3)(t + 3)
u + 29 = (t + 3)²
- 29 - 29
u = (t + 3)² - 29

Part B: The vertex is (-3, -29). The graph shows that it is a minimum because it shows that there is a positive sign before the x²-term, making the parabola open up and has a minimum vertex of (-3, -29).
------------------------------------------------------------------------------------------------------------------
Part A: g(t) = 48.8t + 28 h(t) = -16t² + 90t + 50
| t |   g(t) | | t | h(t) |
|-4|-167.2| | -4 | -566 |
|-3|-118.4| | -3 | -364 |
|-2| -69.6 | | -2 | -194 |
|-1| -20.8 | | -1 | -56 |
|0 |   -28 | | 0  |   50 |
|1 | 76.8 | |  1 | 124 |
|2 | 125.6| | 2 | 166 |
|3 | 174.4| | 3 | 176 |
|4 | 223.2| | 4 | 154 |
The two seconds that the solution of g(t) and h(t) is located is between -1 and 4 seconds because it shows that they have two solutions, making it between -1 and 4 seconds.

Part B: The solution from Part A means that you have to find two solutions in order to know where the solutions of the two functions are located at.

4 0

3 years ago

Read 2 more answers

In a long division exercise the divisor is 8x5−4x. What is the degree of the remainder for which the division process can be st

labwork [276]

Answer:

The degree of the remainder should be 4 for the division process to be stopped

Step-by-step explanation:

From the question, we have the degree of the divisor as 5

So, for the division process to be stopped, the degree of the remainder should be one less than the degree of the divisor

Once the degree of the remainder is less than the degree of the divisor, we have no option that to stop and not proceed further with the division

So in the case of the particular question, the degree of the remainder should be of degree 4

4 0

2 years ago

Find the slope of the line passing through the points (-8,-3) and (-3,4)

Artemon [7]

Answer:

The slope is 1.4

Step-by-step explanation:

Have a great day!!!

Kono Dio Da!!!

6 0

3 years ago

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Suppose that 20° of boys opted for mathematics and 40% of girls opted for mathematics. What is the probability that a student op

ankoles [38]

Answer: 30%

Step-by-step explanation:

Let A be the probability of a student opting for mathematics - it consists of either boy opting for mathematics or girl opting for mathematics. As there is "or" we need to sum these probabilities.

$P(A) = P(B)* P(M|G) + P(G)*P(M|G)$

$P(A) = \frac{1}{2} * \frac{20}{100} + \frac{1}{2} * \frac{40}{100}$

$P(A) = 3/10 = 0.3$

=> 30%

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2 years ago