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3 years ago

If you are given the hypotenuse and an adjacent side...which trig function should you use?

Mathematics

2 answers:

goldfiish [28.3K]3 years ago

7 0

Answer:

use the cosine (cos)

Step-by-step explanation:

There are three trig functions:

sin

cos

tan

An easy way to remember which sides go with which function is the saying:

soh - cah - toa

so....breaking down the acronoym

sin refers to opposite over hypotenuse

cos refers to adjacent over hypotenuse

tan refers to opposite over adjacent

Hope this helps!!!! :)

VladimirAG [237]3 years ago

3 0

Answer:

sine

Step-by-step explanation:

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A flying cannonball’s height is described by formula y=−16t^2+300t. Find the highest point of its trajectory. In how many second

Yakvenalex [24]

Highest point = 1406.25 Number of seconds = 9.375 We've been given the quadratic equation y = -16t^2 + 300t which describes a parabola. Since a parabola is a symmetric curve, the highest value will have a t value midway between its roots. So using the quadratic formula with A = -16, B = 300, C = 0. We get the roots of t = 0, and t = 18.75. The midpoint will be (0 + 18.75)/2 = 9.375 So let's calculate the height at t = 9.375. y = -16t^2 + 300t y = -16(9.375)^2 + 300(9.375) y = -16(87.890625) + 300(9.375) y = -1406.25 + 2812.5 y = 1406.25 So the highest point will be 1406.25 after 9.375 seconds. Let's verify that. I'll use the value of (9.375 + e) for the time and substitute that into the height equation and see what I get.' y = -16t^2 + 300t y = -16(9.375 + e)^2 + 300(9.375 + e) y = -16(87.890625 + 18.75e + e^2) + 300(9.375 + e) y = -1406.25 - 300e - 16e^2 + 2812.5 + 300e y = 1406.25 - 16e^2 Notice that the only term with e is -16e^2. Any non-zero value for e will cause that term to be negative and reduce the total value of the equation. Therefore any time value other than 9.375 will result in a lower height of the cannon ball. So 9.375 is the correct time and 1406.25 is the correct height.

4 0

3 years ago

What is the value of (2x^2-5x+4)if x =7

Troyanec [42]

We have to use PEMDAS for this expression.

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

(2x^2 - 5x + 4) Original Mathematical Expression

[2(7)^2 - 5(7) + 4] Plugging the value of x, 7 into expression.

There are parentheses, so that means we have to work in them.

There are exponents, so we have to do those first.

[2(49) - 5(7) +4] Exponents.

There is multiplication, that we can do, so we do that left to right.

[98 - 35 + 4] Multiplication.

There is no division.

There is addition and subtraction, so we do those left to right.

[63 + 4] Subtraction.

67 Addition.

Final Answer: 67

6 0

3 years ago

Read 2 more answers

Find the following integral. Integrate x + 5/x^2 +10x +26 dx

sweet-ann [11.9K]

Given :

Polynomial , $f(x)=x+\dfrac{5}{x^2}+10x+26$ .

To Find :

Integration of f(x) .

Solution :

We know , integration of $x^n$ is :

$\int x^n \, dx = \dfrac{x^{n+1}}{n+1}+C$

( Here , is C is a constant )

Now ,

$\int f(x)\ dx=\int( x+\dfrac{5}{x^2}+10x+26)dx\\ \\ \int f(x)\ dx= \int x\ dx+\int 5x^{-2}\ dx+\int 10 x \ dx +26\ dx\\ \\ \int f(x)\ dx=\dfrac{x^2}{2}+\dfrac{5\times x^{-1}}{(-1)}+\dfrac{10x^2}{2}+26x+C\\\\ \int f(x)\ dx=\dfrac{11x^2}{2}+26x-5x^{-1}+C$

Therefore , the integration is $\dfrac{11x^2}{2}+26x-5x^{-1}+C$ .

Hence , this is the required solution .

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3 years ago

Can somebody help me with this question please I dont know what real world situation I’ll mark you brainlist after please and ty

igomit [66]

Answer:

If I have x cars and sell 12 how many cars do I have left.

Step-by-step explanation:

3 0

3 years ago

Solve for h.

Luden [163]

Solving for h means we write the equation in such a way that h is isolated from other variables. It is done as follows:

(P = mgh) 1/mg
P/mg = mgh/mg
h = P/mg

Therefore, the correct answer from the choices listed above is option C, h = p/mg.

Hope this answers the question. Have a nice day.

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3 years ago