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Klio2033 [76]
3 years ago
14

Which equation can be used to solve for c?

Mathematics
2 answers:
AlladinOne [14]3 years ago
5 0
From the given triangle in the photo, the lengths of the sides are 3m and a, the hypotenuse is c. One angle, opposite of 3m is given to be 50 degrees C. The right equation that would solve c is,
                                         sin (50 degrees C) = 3m / c
Thus, the answer is the first choice. 
Liula [17]3 years ago
5 0

Answer:

Option (a) is correct.

Step-by-step explanation:

Given a right angled triangle with given dimensions.

We have to find an equation that can be used to solve for side c,

Consider the given triangle ABC,

We know for ∠B = 50° , we have perpendicular = 3 m and hypotenuse is c,

Trigonometric ratio that defines the relation between  perpendicular and  hypotenuse is Sine.

Using trigonometric ratio,

\sin\theta=\dfrac{Perpendicular}{ hypotenuse}

\sin 50^{\circ}=\frac{AC}{AB}

\sin 50^{\circ}=\frac{3}{c}

Thus, Option (a) is correct.

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Answer:

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20/10 by 2/1

6 0
3 years ago
The height after t seconds of an object projected upward with an initial velocity of 48 feet per second from a 210-foot tower ca
svetlana [45]

Given:

The height h of an object after t seconds is

h=-16t^2+48t+210

The height of a neighboring 50-foot tall building is modeled by the equation h=50.

The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.

To find:

The statement which describes the validity of these solutions.

Solution:

We have,

h=-16t^2+48t+210

Here, t is the time in seconds.

For t=-2,

h=-16(2)^2+48(-2)+210

h=-64-96+210

h=50

For t=5,

h=-16(5)^2+48(5)+210

h=-400+240+210

h=50

So, the value of h is 50 at t=-2 and t=5.

We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.

The solution t = 5 is the only valid solution to this system since time cannot be negative.

Therefore, the correct option is C.

6 0
3 years ago
Find the two small as possible solutions ​
solong [7]

Answer:  \bold{b)\quad \dfrac{5}{6},\ \dfrac{25}{6}}

<u>Step-by-step explanation:</u>

12cos\bigg(\dfrac{2\pi}{5}x\bigg)+10=16\\\\\\12cos\bigg(\dfrac{2\pi}{5}x\bigg)=6\\\\\\cos\bigg(\dfrac{2\pi}{5}x\bigg)=\dfrac{1}{2}\\\\\\cos^{-1}\bigg[cos\bigg(\dfrac{2\pi}{5}x\bigg)\bigg]=cos^{-1}\bigg(\dfrac{1}{2}\bigg)

\text{Use the Unit Circle to determine when}\ cos=\dfrac{1}{2}\quad \rightarrow \quad\text{at}\ \dfrac{\pi}{3}\ and \ \dfrac{5\pi}{3}\\\\\\\dfrac{2\pi}{5}x=\dfrac{\pi}{3}\qquad and\qquad \dfrac{2\pi}{5}x=\dfrac{5\pi}{3}\\\\\\\bigg(\dfrac{5}{2\pi}\bigg)\dfrac{2\pi}{5}x=\dfrac{\pi}{3}\bigg(\dfrac{5}{2\pi}\bigg)\quad and\quad \bigg(\dfrac{5}{2\pi}\bigg)\dfrac{2\pi}{5}x=\dfrac{5\pi}{3}\bigg(\dfrac{5}{2\pi}\bigg)\\\\\\.\qquad \qquad \large\boxed{x=\dfrac{5}{6}\qquad and \qquad x=\dfrac{25}{6}}

6 0
2 years ago
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How do relational databases work mathematically?
Dmitrij [34]

Answer:

A relational database stores data in a series of tables so that the data models a mathematical theory of relations. The model allows for queries based on projection, selection, and join, among other operations, and connects the data in the tables by way of keys.

3 0
2 years ago
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Daniel has an 80 average and it dropped to a 50 average . Calculate the percent decrease
erik [133]
There is a 37.5 percent change between 80 and 50.
~Deceptiøn
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