Dont answer unless your sure will mark brainliest

kvasek [131]

Answer:

110in

Step-by-step explanation:

You are given the angle and the length of one leg of the triangle. Therefore, you will want to use one of the trigonometric formulae you've learnt. The available ones are:

$sin(\theta)=\frac{O}{H}\\cos(\theta)=\frac{A}{H}\\tan(\theta)=\frac{O}{A}\\$

where O represents the leg opposite the angle, A represents the leg Adjacent to the angle, and H represents the hypotenuse. The lamppost in this problem is the leg opposite the angle, so you want a formula that has O in the equation, namely sin or tan. Because you were given the leg adjacent to the angle, it makes sense here to use tan. Set up the equation as such to solve:

$tan(70)=\frac{x}{40}\\40*tan(70)=x\\x=110\\$

For some reason, it wanted you to convert 70 degrees to radians, so that may have been where you could have run into issues. If you plugged in 70 as degrees, you would get 48 which isn't an option. Converting 70 to 1.22 rad gets you the answer of 110 in.

5 0

3 years ago

Given the trinomial, what is the value of the coefficient 'B' in the factored form?. . 2x^2 + 14xy - 36y^2 = 2(x + By)(x - 2y).

soldi70 [24.7K]

The value of the coefficient B is 9.

2(x+By)(x-2y)
=2(x^2 -2xy +Bxy -2By^2)
=2x^2 -4xy + 2Bxy - 4By^2

The original form is 2x^2 + 14xy - 36y^2

-36y^2 = -4By^2
B= 9
-4xy +2Bxy= 14xy
xy(-4 +2B)= 14xy
-4 + 2B = 14
2B = 18
B=9

3 0

3 years ago

Read 2 more answers

F(x)= 2x^3 + 5x^2 -x -6 is divided by x+1

eimsori [14]

Step-by-step explanation:

substitute x= -1 into the equation to get the remainder

remainder= -2

the remainder is not a fraction

no, it is not a factor since its remainder is not zero

8 0

2 years ago

Scientist can determine the age of ancient objects by a method called radiocarbon dating. The bombardment of the upper atmospher

Artemon [7]

Answer: 2500 years

Step-by-step explanation:

I'm not quite sure if I'm doing this right myself but I'll give it a shot.

We use this formula to find half-life but we can just plug in the numbers we know to find t.

$A(t)=A_{0}(1/2)^t^/^h$

We know half-life is 5730 years and that the parchment has retained 74% of its Carbon-14. For $A_{0$ let's just assume that there are 100 original atoms of Carbon-14 and for A(t) let's assume there are 74 Carbon-14 atoms AFTER the amount of time has passed. That way, 74% of the C-14 still remains as 74/100 is 74%. Not quite sure how to explain it but I hope you get it. h is the last variable we need to know and it's just the half-life, which has been given to us already, 5730 years, so now we have this.

$74=100(1/2)^t^/^5^7^3^0$

Now, solve. First, divide by 100.

$0.74=(0.5)^t^/^5^7^3^0$

Take the log of everything

$log(0.74)=\frac{t}{5730} log(0.5)$

Divide the entire equation by log (0.5) and multiply the entire equation by 5730 to isolate the t and get

$5730\frac{log(0.74)}{log(0.5)} =t$

Use your calculator to solve that giant mess for t and you'll get that t is roughly 2489.128182 years. Round that to the nearest hundred years, and you'll find the hopefully correct answer is 2500 years.

Really hope that all the equations that I wrote came out good and that that's right, this is definitely the longest answer I've ever written.

5 0

3 years ago

Please help See the picture Twst

erik [133]

Answer:

7

Step-by-step explanation:

1. Use sine law to solve

3/sin35 = x/sin55

3sin55/sin35 = 7

6 0

3 years ago