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3 years ago

Trigonometry please help #2 ASAP

Mathematics

1 answer:

lana [24]3 years ago

5 0

1. cos (angle) = adjacent leg / hypotenuse

cos(50) = 10/X

x = 10/cos(50)

x = 15.6 feet

tan(angle) = Opposite leg / adjacent leg

tan(5.5) = 600/x

x = 600/tan(5.5)

x = 6,231.2 feet.

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Write a linear equation in standard form that satisfies the given set of conditions. X-intercept: 3, y-intercept: 5

Artyom0805 [142]

The linear equation in standard form is $y=\frac{-5}{3}x +5$ .

<h3>Linear Function</h3>

An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=7x+2. Where:

a= the slope. It can be calculated for $\frac{\Delta x }{\Delta y}$ .

b= the constant term that represents the y-intercept.

The question gives: X-intercept:3 and y-intercept: 5. Then,

The x-intercept is the point that y=0, then the x-intercept point is (3,0).
The y-intercept is the point that x=0, then the x-intercept point is (0,5).

With this information, you can find the slope (a).

$a=\frac{\Delta y }{\Delta x}= \frac{0-5}{3-0} =\frac{-5}{3}$

The question gives the coefficient b since it gives the y-intercept=5.

Therefore the linear equation is : $y=\frac{-5}{3}x +5$ .

Read more about the linear equations here:

brainly.com/question/2030026

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4 0

2 years ago

A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

In this question:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968$

0.3968 = 39.68% probability this shipment passes inspection.

6 0

3 years ago

Workout and simplify

Step2247 [10]

Answer:

a) ⅖+⅓ = 6/15 + 5/15 = 11/15

b) 5/9 - 1/2 = 10/18 - 9/18 = 1/18

7 0

3 years ago

Read 2 more answers

I cut a long piece of wood into 50cm pieces. I manage to cut

ehidna [41]

Answer:

$WoodLength = 50w + 20$

Step-by-step explanation:

Given

Length of Pieces = 50cm

Number of Pieces = w

Left over = 20cm

Required

Determine the length of the wood

Start by multiplying the number of pieces by the length of each pieces

$Result = Length * Number$

$Result = 50 * w$

$Result = 50 w$

Lastly, add the leftover to get the actual length of the wood

$Wood Length = Result + Leftover$

Substitute 50w for Result and 20 for Leftover

$WoodLength = 50w + 20$

<em>Hence, the length of the wood is 50w + 20</em>

5 0

3 years ago

Replace * with a monomial in such a way, that the trinomial becomes a perfect square. *+12x+1

Mrrafil [7]

Answer: * = 36x^2

Note: Im guessing you're here for rsm struggles. That's how I found this question. I searched the web for the answer to this rsm problem, but I couldnt find it. I was happy to find this brainly link, but annoyed to find it was unanswered. I did the problem, and now i'll help future rsm strugglers out. Thanks for posting this question.

Step-by-step explanation:

Ok, so we know that trinomials like this are squares of binomials. this in mind, we know that it can also be written as (x+y)^2. (also brainly's exponents feature used to be better, if the exponents are confusing you, comment.) Using the (x+y)^2 equation, you know that by simplifying it, you get x^2+2xy+y^2. Basically we're looking for x^2. Using the middle term, 2xy, or 12x in this equation, we can find x. since we know the square root of 1 is 1, we know 12=2x. This is kinda confusing, but basically since the answer is 6, we know that the x-term is 6x. We square 6x and get 36x^2. guaranteed to work on the rsm student portal, i'm in rsm and i just answered this question.

Hope this helps! Also, im not usually too active on brainly unless im looking for HW answers, so if you understand this explanation and you see a confused comment, help out a friend and answer it. Happy holidays!

4 0

2 years ago