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Natalija [7]
3 years ago
13

Given g(x)=5x+3, find g(4)

Mathematics
2 answers:
Eva8 [605]3 years ago
7 0

Answer:

\boxed{g(4) \: is \: 23}

Step-by-step explanation:

given :

g(x) = 5x + 3

find g(4)

Answer :

substitute 4 into the equation of function

g(x) = 5x + 3

g(4) = 5(4) + 3

g(4) = 20 + 3

g(4) = 23

RSB [31]3 years ago
4 0

Answer:

g(4) = 23

Step-by-step explanation:

g(x)=5x+3, find g(4)

g(4) = 5(4) + 3

g(4) = 20 + 3

g(4) = 23

Hope that helps!

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In ΔTUV, the measure of ∠V=90°, TV = 28, UT = 53, and VU = 45. What ratio represents the cosecant of ∠U?
ira [324]

Answer:

Cosecant U = 53 / 28

Step-by-step explanation:

Please see attached photo for diagram.

We'll begin by calculating the ratio of sine U. This can be obtained as follow:

Angle U = θ

Opposite = 28

Hypothenus = 53

Sine U =?

Sin θ = Opposite / Hypothenus

Sine θ = 28 / 53

Thus,

Sine U = 28 / 53

Finally, we shall determine the ratio of cosecant U. This can be obtained as follow:

Sine U = 28 / 53

Cosecant U =?

Cosecant U = 1 / Sine U

Cosecant U = 1 ÷ 28 / 53

Cosecant U = 1 × 53 / 28

Cosecant U = 53 / 28

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number 3 says,"If u and v are the measures of complementary angles such that sin u =2/5 and tan v =(square root of 21) 21/2, lab
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Answer and Explanation:

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\begin{gathered} \sin u=\frac{opposite\text{ of angle u}}{\text{hypotenuse}}=\frac{2}{5} \\ \tan v=\frac{opposite\text{ of angle v}}{\text{hypotenuse}}=\sqrt[]{21} \end{gathered}

So we can go ahead and label the sides of the triangle as shown below;

We can find the value of u as shown below;

\begin{gathered} \sin u=\frac{2}{5} \\ u=\sin ^{-1}(\frac{2}{5}) \\ u=23.6^{\circ} \end{gathered}

We can find v as shown below;

\begin{gathered} u+v+90=180\text{   (sum of angles in a triangle)} \\ v+23.6+90=180 \\ v=180-113.6 \\ v=66.4^{\circ} \end{gathered}

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