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Over [174]
4 years ago
15

A triangle has angles that measure 30 60 and 90 the triangle measures 10 inches

Mathematics
1 answer:
Tanzania [10]4 years ago
8 0

In Δ ABC, ∠B =90° , ∠C = 30° , ∠A = 60° and Hypotenuse AC = 10 inches

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12 1/2-(4 1/2) = ? I really need help​
Agata [3.3K]

Answer:

8

Step-by-step explanation:

So we have 12 1/2 - (-4 1/2)

6-(-2)

6+2

8

5 0
3 years ago
Read 2 more answers
Which system is represented by the graph?
natulia [17]

Answer:

The answer to your question is the first option

Step-by-step explanation:

Process

1.- Identify the y-intercepts of the lines

blue line   y-intercept = -1

brown line  y-intercept = -2

With this information, we can discard the last option because those lines don't have those y-intercepts.

2.- We observe in the graphs that the lines are increasing so the slopes are positive. From this information, we can discard the second option.

3.- Calculate the slopes of the lines of options 1 and 3

Blue line Points  (0, -1)   (1, 2)

            m = \frac{2 + 1}{1 - 0} = \frac{3}{1} = 3

Brown line Points (0, -2) (1, 1)

            m = \frac{1 + 2}{1 - 0} = 3

As the slopes are 3, we conclude that the answer is the first option.

4 0
4 years ago
I need to solve the equation please help me
lesantik [10]

Answer:

\displaystyle x=\Big\{\frac{7\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi, \frac{11\pi}{6}+2n\pi}\Big\}, n\in\mathbb{Z}

Step-by-step explanation:

We are given the equation:

4\sin^2(x)+6\sin(x)+2=0

First, we can divide everything by 2:

2\sin^2(x)+3\sin(x)+1=0

Notice that we have an equation in quadratic form. Namely, if we make a substitution where u = sin(x), we acquire:

2u^2+3u+1=0

Solve for u. Factor:

(2u+1)(u+1)=0

Zero Product Property:

2u+1=0\text{ or } u+1=0

Solving for both cases:

\displaystyle u=-\frac{1}{2}\text{ or } u=-1

And by substitution:

\displaystyle \sin(x)=-\frac{1}{2}\text{ or } \sin(x)=-1

For the first case, recall that sin(x) is -1/2 for every 7π/6 and every 11π/6. Hence, for the first case, our solutions are:

\displaystyle x=\frac{7\pi}{6}+2n\pi \text{ and } x=\frac{11\pi}{6}+2n\pi, n\in\mathbb{Z}

Where n is an integer.

For the second case, sin(x) is -1 for every 3π/2. Thus:

\displaystyle x=\frac{3\pi}{2}+2n\pi

All together, our solutions are:

\displaystyle x=\Big\{\frac{7\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi, \frac{11\pi}{6}+2n\pi}\Big\}, n\in\mathbb{Z}

4 0
3 years ago
Work out the value of y when T=38 and X=6
Scilla [17]

Answer:

What is the equation?

Willing to help!

Step-by-step explanation:

6 0
3 years ago
Solve: 46, 56, 67, 78, 34, 46, 57 mean: Range: Median: Mode:
Serhud [2]

Answer:

mean:54.857142857143

Range:44

median:56

mode:46

5 0
4 years ago
Read 2 more answers
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