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True [87]
3 years ago
13

In a right-angled triangle, the hypotenuse is h cmlong aand the other two sides are f cm and g cm in height. Write down a formul

a which connects f g and h
Mathematics
1 answer:
lawyer [7]3 years ago
7 0

Answer: f²+g²=h²

Step-by-step explanation:

In a right triangle, you use the Pythagorean Theorem: a²+b²=c² to find the hypotenuse of the triangle. I would believe that you could just substitute the variables in this equation with the ones that you have. This should show the relationship between the 3 unknown lengths of the sides.

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Systems of equations with different slopes and different y-intercepts have more than one solution.
FrozenT [24]

Answer: OPTION C.

Step-by-step explanation:

The systems of linear equations can have:

1. <u>No solution:</u> When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.

2. <u>One solution</u>: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system

3. I<u>nfinitely many solutions</u>: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.

Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts <em><u>never</u></em> have more than one solution.

7 0
3 years ago
Solve for [0,2pi): 3sin^2x-6sinx=0
Ainat [17]

Given the equation :

3\sin ^2x-6\sin x=0

Let: y = sin x

So,

\sin ^2x=y^2

the given equation will be:

3y^2-6y=0

Solve for y, take 3y as a common:

\begin{gathered} 3y(y-2)=0 \\ 3y=0\rightarrow y=0 \\ y-2=0\rightarrow y=2 \end{gathered}

so,

\begin{gathered} y=0\rightarrow\sin x=0\rightarrow x=0or\pi \\ y=2\rightarrow\sin x=2 \end{gathered}

Note: the range of sine function is [ -1, 1]

So, sin x = 2 ( is rejected)

So, the answer will be: x ={ 0 , pi }

3 0
2 years ago
An isosceles triangle has angle measures of 50, 50, and 80. The side across from the 80 angle is 10 inches long. How long are th
sergij07 [2.7K]

Answer:

I believe it would be 7.8

Step-by-step explanation:


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3 years ago
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Lemur [1.5K]

Answer: 40,000

Step-by-step explanation:

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3 years ago
Make u the subject of the formula v^2=u^2+2as. thanks xx
Leona [35]
v^2=u^2+2as\\\\ u^2=v^2-2as\\\\\boxed{u=\pm\sqrt{v^2-2as}}
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4 years ago
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