What is the length of the the midsegment of a trapezoid with<br> a<br> bases of length 18 and 28?

Solve for x in the equation x 2 - 4 x - 9 = 29.

Marizza181 [45]

Answer:

x= -19

Step-by-step explanation:

2x-4x-9=29

-2x=29+9

x=38/-2

= -19

5 0

3 years ago

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A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product

saveliy_v [14]

Step-by-step explanation:

this is a linear programming problem, and we are expected to draw up the linear program for the solution of the problem.

The objective function is

Maximize

35A+42B+20C=P

subject to constraints(board and wicker)

The constraints are

board

7A+5B+4C=3000

wicker

4A+5B+3C=1400

A>0, B>0, C>0

5 0

3 years ago

Bad gums may mean a bad heart. Researchers discovered that 82% of people who have suffered a heart attack had periodontal diseas

saveliy_v [14]

Answer:

37.27% probability that he or she will have a heart attack.

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Periodontal disease

Event B: Heart attack

Researchers discovered that 82% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums.

This means that $P(A|B) = 0.82$

Only 33% of healthy people have this disease.

This means that $P(A) = 0.33$

Suppose that in a certain community heart attacks are quite rare, occurring with only 15% probability.

This means that $P(B) = 0.15$

If someone has periodontal disease, what is the probability that he or she will have a heart attack

$P(B|A) = \frac{0.15*0.82}{0.33} = 0.3727$

37.27% probability that he or she will have a heart attack.

6 0

3 years ago

Express the illuminance on the floor as a composite function of t for 0 < t < 8.

GrogVix [38]

The formula for illuminance is given by
E = I / d^2
This formula only holds true for one-dimensional illuminance
The problem asks for the illuminance across the floor. We need to use two variables, x and y.
From Pythagorean Theorem
d^2 = x^2 + y^2
and from Trigonometry
x = d cos t
y = d sin t

The function for the illuminance can be represented by the composite function
E = I cos² t / x²
and
E = I sin² t / y²

The boundary of these functions is:
<span>0 < t < 8
So, the value of t must be in radians and not in degrees</span>

3 0

3 years ago

Estimate each quotient. show your work. 165÷4

Serggg [28]

Answer: 41 1/4

Step-by-step explanation: 160/4=40

5/4= 1 1/4

LIKE IF CORRECT

3 0

3 years ago

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What is the length of the the midsegment of a trapezoid with a bases of length 18 and 28?