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3 years ago

2. The bottom of a ramp is placed 15 feet from the edge of a stage

Mathematics

1 answer:

Firdavs [7]3 years ago

8 0

Answer:

The slope of the ramp is 1.

Step-by-step explanation:

See the diagram attached.

Here, AC = 15 ft. and ED = 5 ft. while AE = 10 ft.

Then, EC = (15 - 10) = 5 ft.

Now, considering the right triangle Δ EDC, if $\theta$ is the inclination of the ramp, then $\tan \theta = \frac{ED}{EC} = \frac{5}{5} = 1$

Hence, $\theta = 45 ^{\circ}$

Therefore, the slope of the ramp is 1. (Answer)

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Maru [420]

Step-by-step explanation:

5⁰= 1

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3 years ago

What is the asymptote for the graph of this logarithmic function? f(x) = log3(x – 1)

Pepsi [2]

Answer:

Vertical Asymptote:

$x=1$

Horizontal asymptote:

it does not exist

Step-by-step explanation:

we are given

$f(x)=log_3(x-1)$

Vertical asymptote:

we know that vertical asymptotes are values of x where f(x) becomes +inf or -inf

we know that any log becomes -inf when value inside log is zero

so, we can set value inside log to zero

and then we can solve for x

$x-1=0$

we get

$x=1$

Horizontal asymptote:

we know that

horizontal asymptote is a value of y when x is +inf or -inf

For finding horizontal asymptote , we find lim x-->inf or -inf

$\lim_{x \to \infty} f(x)= \lim_{x \to \infty}log_3(x-1)$

$\lim_{x \to \infty} f(x)=log_3(\infty-1)$

$\lim_{x \to \infty} f(x)=undefined$

so, it does not exist

7 0

3 years ago

Read 2 more answers

Write an inequality to compare the absolute of -32 and the absolute value of -23.

AveGali [126]

The absolute value of -32 is greater than the absolute value of -23

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3 years ago

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 00 and 66

Anna71 [15]

You are given the waiting times between a subway departure schedule and the arrival of a passenger that are uniformly distributed between 0 and 6 minutes. You are asked to find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.

Le us denote P as the probability that the randomly selected passenger has a waiting time greater than 3.25 minutes.
P = (length of the shaded region) x (height of the shaded region)
P = (6 - 3.25) * (0.167)
P = 2.75 * 0.167
P = 0.40915
P = 0.41

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3 years ago

3. 1 + sec2x sin2x = sec2x

IgorLugansk [536]

Answer:

Answer is on pic

Step-by-step explanation:

I hope it's helpful!

7 0

2 years ago