Ask question

Ask question

All categories

3 years ago

8

A horizontal curve is being designed around a pond with a tangent length of 1200 ft and a central angle of 29.86 degrees. If the

PI is at station 145 00, determine the station of PT.

1 answer:

lara31 [8.8K]3 years ago

7 0

Answer:

The correct answer is "1287.02 ft"

Step-by-step explanation:

Given that:

T = 1200 ft

PI = 145+00

$\Theta$ = 29.86°

or,

= 0.5211 rad

As we know,

The radius of curve is:

⇒ $T = R \ tan\frac{\Theta}{2}$

$1200=R \ tan(\frac{0.5211}{2} )$

$1200=R \ tan(0.267)$

$R = 4494.38 \ ft$

The length of curve will be:

⇒ $L=R \Theta$

$=449.38\times 0.5211$

$=2342.01 \ ft$

hence,

Station PT will be:

= $PI-T+L$

= $145-1200+2341.01$

= $1287.02 \ ft$

You might be interested in

5m=−10 what does m equal

Sphinxa [80]

Answer:

M equals -2.

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

Please help ! 13 points

Elena-2011 [213]

Answer:

...

Step-by-step explanation:

remeber that for every angle they give you, you need to subtract 90 from it to get the answer.

5 0

3 years ago

1. Algebra Find the values for x and y in ABCD.

Marta_Voda [28]

ANSWER

x=12, y=10

EXPLANATION

The diagonals of a parallelogram bisect each other.

This implies that;

AE=EC

$4x = 5y - 2$

$4x - 5y = - 2...(1)$

Also, DE=EB;

$2x = y + 14$

$y =2x - 14...(2)$

Put equation (2) in (1).

$4x - 5(2x - 14) = - 2$

Expand;

$4x - 10x + 70 = - 2$

$- 6x = - 72$

$x = 12$

Put x=2, into equation (2).

$y = 2(12) - 14$

$y = 10$

3 0

3 years ago

Which of the binomials below is a factor of this trinomial? x^2-16x+28

Leto [7]

(x - 14) (x - 2) is the answer.

3 0

4 years ago

in a certain population, 11% of people are left-handed. Suppose that you plan to randomly select 100 people and ask each person

Assoli18 [71]

Answer:

c. A and C

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=100, p=0.11)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We need to check the conditions in order to use the normal approximation.

$np=100*0.11=11 > 10 \geq 10$

$n(1-p)=100*(1-0.11)=99 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=100*0.11=11$

$\sigma=\sqrt{np(1-p)}=\sqrt{100*0.11(1-0.11)}=3.129$

Part A

We want this probability:

$P(X \geq 12) = 1-P(X$

The z score is defined as

$Z=\frac{x-\mu}{\sigma}$ .

$P(X \geq 12) = 1-P(X$

Part B

P(X>12) = 1-P(X\leq 12) = 1-P(Z< \frac{12-11}{3.129})=1-0.625=0.375[/tex]

Part C

$P(10\leq X \leq 14) = P(X$

The z score is defined as

$Z=\frac{x-\mu}{\sigma}$ .

$P(10 \leq X \leq 14) =P(Z< \frac{14-11}{3.129}) -P(Z< \frac{10-11}{3.129})=P(Z$

So then the best option is : c. A and C

8 0

4 years ago