All categories

3 years ago

Help me with this problem

Mathematics

1 answer:

hammer [34]3 years ago

8 0

- 9 ≤ x ≤ 7

the domain is the values of x on the x- axis that define y = f(x)

y is defined for all values of x in the stated domain

You might be interested in

How do i find the value of y?

frozen [14]

Write an equation and try isolating the y variable.

3 0

3 years ago

Please help me with the problem

Ivan

Exact Answers:

Area = 150.5*sqrt(3)
Perimeter = 57+7*sqrt(3)

Approximate Answers:

Area = 260.673646539
Perimeter = 69.12435565

======================================

Explanation:

Your diagram is 100% correct. Nice work.

To get the area of the trapezoid, we could use the area of a trapezoid formula below:

A = h*(b1+b2)/2

In this case, we have,

h = 7*sqrt(3) = height
b1 = 18 = base1
b2 = 25 = base2

the bases are parallel to each other. The height is always perpendicular to the base. We won't use the "14" at all.

So,

A = h*(b1+b2)/2

A = 7*sqrt(3)*(18+25)/2

A = 7*sqrt(3)*21.5

A = (7*21.5)*sqrt(3)

A = 150.5*sqrt(3)

This is the exact area.

The approximate area is roughly

150.5*sqrt(3) = 260.673646539

The units for the area are in square km, or km^2. Though your teacher said for you not to include the units.

Another way to get the area of the trapezoid is to break the diagram into a rectangle and triangle as you have done so, and then find the area of each sub-piece. Adding the two smaller areas should lead to the result shown above.

-----------------------------------

To get the perimeter, we add up all of the exterior sides. We do not include the right-most vertical line that is 7*sqrt(3) km long because it is inside the figure. The horizontal segment that is 7 km long is part of the "25 km" segment, so we'll ignore that 7.

Adding the four exterior sides leads to:

7*sqrt(3)+18+14+25 = 57+7*sqrt(3)

This value is exact. It approximates to

57+7*sqrt(3) = 69.12435565

The units for the perimeter are in kilometers, and you won't have any exponent over the "km". While your teacher doesn't want the units, it's still handy to know what the units would be.

5 0

3 years ago

Read 2 more answers

In Leakwater township, there are two plumbers. On a particular day three Leakwater residents call village plumbers independently

Marianna [84]

Answer:

25% probability that all three residents will choose the same plumbe

Step-by-step explanation:

For each resident, there are only two possible outcomes. Either they choose the first plumbe, or they choose the second. The plumbers are chosen independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$