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3 years ago

A 18 foot ladder is leaning against a wall as shown

1 answer:

6 0

I'm guessing the diagram shows a ladder leaning against a wall, making a right angle triangle with respect to the ground and the wall.

So, the wall's height is going to be the 'h', which will also be the 'opposite side' from the angle <span>ϴ which is made from the ladder and the ground.
</span>The ladder's length (18 foot) is going to be the 'hypotenuse' side and the other remaining side will be the 'adjacent'.

Now, once you've sorted out which side is which, we have to find the h (opp), and according to SOH CAH TOA, we will choose Sin<span>ϴ = opp/hyp.
</span>so Sinϴ = h/18....now we gotta find h, so 'cross multiply' the equation to get h = 18 x sin<span>ϴ.
</span>
To find angle ϴ, simply take the inverse of Sinϴ= h/18... and you'll get ϴ = sin-1 (sin inverse) h/18

Hope this helps

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If a₁ = 4 and an = 5an-1 then find the value of a5.

igor_vitrenko [27]

The value of $a_{5}$ is 2500, when $a_{1}=4$ and $5a_{n-1}$ .

Given that, $a_{1}=4$ and $5a_{n-1}$ .

We need to find the value of $a_{5}$ .

<h3>What is an arithmetic sequence?</h3>

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Now, to find the value of $a_{5}$ :

$a_{2} =5a_{2-1}=5a_{1}=5 \times4=20$

$a_{3} =5a_{3-1}=5a_{2}=5 \times20=100$

$a_{4} =5a_{4-1}=5a_{3}=5 \times100=500$

$a_{5} =5a_{5-1}=5a_{4}=5 \times500=2500$

Therefore, the value of $a_{5}$ is 2500.

To learn more about arithmetic sequence visit:

brainly.com/question/15412619.

#SPJ1

5 0

2 years ago

A construction company orders 12 tons of pea gravel how many pounds of pea gravel do they order

poizon [28]

Each ton is equal to 2,000 pounds, therefore each ton (12) times the number of pounds per ton (2,000) is 24,000 pounds! Hope this helps!!

6 0

3 years ago

In the expression , 5.28 x 10^3 , which number is the base ?

solong [7]

Bse is 10
x^m, x is base of exponent

7 0

3 years ago

Is 26,341 divisible by 3?

shepuryov [24]

No. 26,341 is not evenly divisible by 3 .

Here's the trick you can use to decide this
just by looking at a big number:

==> If a number is divisible by 3, then the
sum of its digits is divisible by 3.

I've never taken the trouble to figure out why this works,
but it does work. I didn't make it up. It's widely known.

So let's look at 26,341 .

The sum of the digits is (2 + 6 + 3 + 4 + 1) = 16 .

16 is not divisible by 3 , so 26,341 is not divisible by 3 .

Is that cool or what !

3 0

3 years ago

Read 2 more answers

Solve each system using SUBSTITUTION. Remember to check!

Annette [7]

Answer:

$\left \{ {{x=3} \atop {y=-7}} \right.$

Step-by-step explanation:

We can directly substitute y of the first equation to the second equation.

-2x - 1 = 3x - 16

5x = 15

x = 3

Substituting back to any of the two equations, we get y = -2(3)-1 = -7. If you check with the second equation, y = 3(3)-16 = -7 as well.

Therefore $\left \{ {{x=3} \atop {y=-7}} \right.$ .

7 0

3 years ago