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2 years ago

13

Use the discriminant to find what type of solutions the equation has, 3x^2+ 7x = 7

1 answer:

kherson [118]2 years ago

3 0

X
=
−
7
±
133
6
x=
6
−7±
133

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3 years ago

Is 1/2 equivalent to 2/4

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A standard box of tissues has a base area of 27 square inches, and a height of 5 inches. If the length and width of the tissue b

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3 years ago

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4 years ago

Trigonometry<br> Trigonometric Functions <br> Given: Cos θ = (3/5), Find: Csc θ

torisob [31]

The value of $\csc \theta$ is $\frac{5}{4}$

Explanation:

Given that the function $cos \ \theta$ is $cos \ \theta= \frac{3}{5}$

We need to determine the value of $\csc \theta$

<u>The value of Opposite side of the triangle:</u>

The formula for $cos \ \theta$ is given by

$cos \ \theta= \frac{adj}{hyp}=\frac{3}{5}$

The value of opposite side can be determined using the formula,

$opp=\sqrt{hyp^2-adj^2$

$opp=\sqrt{5^2-3^2}$

$opp=\sqrt{25-9}$

$opp=\sqrt{16}=4$

Thus, the value of opposite side is 4

<u>The value of </u> $sin \ \theta$ <u>:</u>

The formula for $sin \ \theta$ is given by

$sin \ \theta= \frac{opp}{hyp}$

Substituting the values, we have,

$sin \ \theta= \frac{4}{5}$

Thus, the value of $sin \ \theta$ is $\frac{4}{5}$

<u>The value of </u> $\csc \theta$ <u>:</u>

The formula for $\csc \theta$ is given by

$csc \ \theta=\frac{1}{sin \ \theta}$

Substituting the values, we have,

$csc \ \theta=\frac{1}{\frac{4}{5}}$

$csc\ \theta= \frac{5}{4}$

Thus, the value of $\csc \theta$ is $\frac{5}{4}$

Hence, the value of $\csc \theta$ is $\frac{5}{4}$

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3 years ago