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2 years ago

What type of triangle is shown below?

Mathematics

2 answers:

xxTIMURxx [149]2 years ago

5 0

It is a right triangle

Leya [2.2K]2 years ago

5 0

The triangle that is shown in the attachment is called a right triangle because the angle of the triangle is 90°.

The strategy to solve an angle in a right triangle

1) Note that we are given the length of the side opposite to the missing angle, and the length of the hypotenuse. The trigonometric ratio that contains both of those sides is the sine.

2) Create an equation using the sine of the missing angle.

3) Solve the equation for the missing angle using the sin⁻¹ function.

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How do you solve this?

puteri [66]

Answer:

Width: 7

Length: 14

Step-by-step explanation:

The area of a rectangle can be found my multiplying the length by the width. We do not know neither the length nor the width. However, we do know that the length is 7 feet longer than the width. Because we do not know the value of either side, let's let $x$ represent the width.

Since the length is 7 feet longer, we can represent the length by $x+7$ .

Now that we have our values for the length and the width we can multiply them together to find our area.

$(x)(x+7)=x^{2} +7x$

Now we have our equation, so we can address the changes made by the original question. The original question states that when 7 is added to both the length and width the area becomes 3 times larger. To do so simply increase each side by 7 by adding 7 to the original values.

$(x+7)(x+14)$

And multiply our area by 3.

$3(x^{2} +7x)$

set these equal to each other to find your new equation.

$(x+7)(x+14)=3(x^{2} +7x)$

Now you need to solve for $x$ . To do this first muliply $(x+7)$ and $(x+14)$ .

$(x+7)(x+14)=\\x^{2} +14x+7x+98=\\x^{2} +21x+98$

Then multiply $3(x^{2} +7x)$

$3(x^{2} +7x)=\\3x^{2} +21x$

Now you can begin solving for $x$ .

$x^{2} +21x+98=3x^{2} +21x$

Subtract $x^{2}$ from both sides.

$21x+98=2x^{2} +21x$

Subtract $21x$ from both sides.

$98=2x^{2}$

Divide by 2.

$49=x^{2}$

And finally take the sqaure root of both sides.

$\sqrt{x^{2} }=\sqrt{49}\\x=7$

Remember, because we are dealing with length, there cannot be negative. So while normally we would get both +7 and -7, in this case we only get +7.

Now that we have the value of $x$ , we can plug it into our original values.

For width we simply get 7.

For length we get 7+7=14

To check our answer we cna multiply 7 by 14 to get 98. Then we can add 7 to our length and width to get 14 and 21. Multiply these together and we get 294. 294 divided by 3 is 98, proving our answer correct.

7 0

2 years ago

2 + 3(x + 2x) = −2x(2 − 4) + 1 A) −5 B) − 1 5 C) 5 D) 1 5

11Alexandr11 [23.1K]

Answer:

B -1/5

you have to follow pemdas first get rid of the parethase which leaves you with 2+3x+6x=-4x+8x+1 then you add what you can do then you get 2+9x=4x+1 then you subtract 2 from both sides and subtract 4x from both sides which leaves you with 5x=-1 then you divide 5 from both sides and get x=-1/5

4 0

2 years ago

Solve the equation. -3n-4n-17=25 n=?

Leno4ka [110]

Answer:

n=-6

Step-by-step explanation:

-3n-4n-17=25

-7n-17=25

-7n=42

n=-6

4 0