Ask question

Ask question

All categories

katovenus [111]

3 years ago

5

A right triangle has an angle that measures 55 degrees. The leg adjacent to this angle has a length of 43 cm. What is the length

of the other leg of the triangle? Round to the nearest tenth.

2 answers:

Lana71 [14]3 years ago

8 0

Tan55 = x/43
x = tan(55) * 43
x = 61.4 cm

pogonyaev3 years ago

4 0

Tan (55) = opposite / 43
opposite = 43 * tan (55)
opposite = 43 * 1.4281
opposite = <span> <span> <span> 61.4083 </span> </span> </span>

You might be interested in

If zeba were younger by 5 years than what she really is then the square of her age would have been 11 more than five times her a

RSB [31]

Answer:

14 years old

Step-by-step explanation:

<u>Define the variable</u>

Let x be the actual age of Zeba (in years).

<u>Create an equation</u> using the give information and the variable x:

$(x - 5)^2=5x+11$

To find Zeba's age now, <u>solve the equation for x</u>.

Expand the brackets:

$\implies x^2-10x+25=5x+11$

Subtract 5x from both sides:

$\implies x^2-10x+25-5x=5x+11-5x$

$\implies x^2-15x+25=11$

Subtract 11 from both sides:

$\implies x^2-15x+25-11=11-11$

$\implies x^2-15x+14=0$

<u>Factor the found quadratic</u>

To factor a quadratic in the form $ax^2+bx+c$ <em>, </em>find two numbers that multiply to $ac$ and sum to $b$ , then rewrite $b$ as the sum of these two numbers:

$\implies x^2-14x-x+14=0$

Factor the first two terms and the last two terms separately:

$\implies x(x-14)-1(x-14)=0$

Factor out the common term (x - 14):

$\implies (x-1)(x-14)=0$

Apply the <u>zero product property</u>:

$\implies (x-1)=0 \implies x=1$

$\implies (x-14)=0 \implies x=14$

Therefore, Zeba's age now is either 1 or 14 years.

As the question states "If Zeba were younger by 5 years" then 1 must be an <u>extraneous solution</u> since 1 - 5 = -4 and Zeba cannot be -4 years old.

Therefore, Zeba's age now is 14 years old.

<u>Check</u>

Given the actual age of Zeba is 14 years old.

Therefore, If Zeba were younger by 5 years, she would be 9 years old as: 14 - 5 = 9

The square of 9 is: 9² = 81.

5 times her actual age: 5 × 14 = 70

81 is 11 more than 70, hence verifying that her <u>actual age is 14 years old</u>.

Learn more about quadratic equations here:

brainly.com/question/27956741

brainly.com/question/27947331

5 0

1 year ago

Read 2 more answers

What is the value of f(x) when x = 3?

Maksim231197 [3]

It's not specific enough to solve...so far it would only be f(3)

4 0

3 years ago

How many number cards are there in a deck of cards

mart [117]

...aish maybe about 100-

3 0

4 years ago

Henrietta interviewed her classmates on their favorite subjects. She recorded their gender and favorite subject. She concluded t

Tamiku [17]

<span>no, the relative frequency of males who like math is different from the relative frequency of females who like science.</span>

4 0

3 years ago

Read 2 more answers

A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the

liq [111]

If the number of downloads of the standard version is x, and the high quality is x, 2.1*x+4.1*y=2761 (not 1010 due to that this is multiplied by 2.1 and 4.1, therefore representing the total amount of megabytes) In addition, there are 1010 total downloads, and it's either 2.1 MB or 4.1 MB, so x+y=1010.

We have
2.1x+4.1y=2761
x+y=1010

Multiplying the second equation by -2.1 and adding it to the first equation, we get 2y=2761-1010*2.1=640 and by dividing both sides by 2 we get y=320 downloads of the high quality version

5 0

3 years ago