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NARA [144]
3 years ago
9

What is the term, coefficient, constant, and factor of 1/2(base1 + base2)h? (Formula used to find area of trapezoid)

Mathematics
1 answer:
vovangra [49]3 years ago
6 0

Answer:

i. Term = \frac{b_{1}h }{2} + \frac{b_{2}h }{2}

ii. Coefficient = \frac{1}{2}

iii. Constant = \frac{1}{2}

iv. Factor = \frac{h}{2}

Step-by-step explanation:

A trapezoid is a quadrilateral which has its base parallel to the opposite side. It's area can be determined by;

Area of trapezium = \frac{1}{2} (b_{1} + b_{2})h

Where b_{1} is the measure of length of its fist base,  b_{2} is the measure of its second base and h is its height.

Considering the given question,

Term = \frac{b_{1}h }{2} + \frac{b_{2}h }{2}

Coefficient = \frac{1}{2}

Constant = \frac{1}{2}

Factor = \frac{h}{2}

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For which values of x is the function y = 5 / (x-4)(x+5) not defined? Select all that apply.
rewona [7]
f(x)=\dfrac{5}{(x-4)(x+5)}\\\\(x-4)(x+5)\neq0\iff x-4\neq0\ and\ x+5=0\\\\x\neq4\ and\ x\neq-5\\\\Answer:\boxed{-5\ and\ 4}
5 0
3 years ago
In a triangle the ratio of angles is 2:3:4 find the angles​
Dmitry [639]

Answer:

40,60,80

Step-by-step explanation:

2x+3x×4x=180

9x=180

x=20

2x=40

3x=60

4x=80

6 0
3 years ago
What is 3/4 of a 2 liter bottle in millimeters
shutvik [7]
I believe you meant milliliters.  If so the answer is 1500ml

2 liters = 2000ml

2000/4 = 500 for 1/4

We need 3/4 so we multiply 500 X 3 and get 1500ml
6 0
3 years ago
Read 2 more answers
A box of Georgia peaches has 3 bad and 12 good peaches. (a) If you make a peach cobbler of 12 peaches randomly selected from the
Eddi Din [679]

Answer:

a) 0.21% probability that there are no bad peaches in the peach cobbler.

b) 99.79% probability of having at least 1 bad peach in the peach cobbler

c) 7.91% probability of having exactly 2 bad peaches in the peach cobbler.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the peaches are chosen is not important. So the combinations formula is used to solve this question.

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)!}

(a) If you make a peach cobbler of 12 peaches randomly selected from the box, what is the probability that there are no bad peaches in the peach cobbler?

Desired outcomes:

12 good peaches, from a set of 12. So

D = C_{12,12} = \frac{12!}{12!(12 - 12)!} = 1

Total outcomes:

12 peaches, from a set of 15. So

T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455

Probability:

p = \frac{D}{T} = \frac{1}{455} = 0.0021

0.21% probability that there are no bad peaches in the peach cobbler.

(b) What is the probability of having at least 1 bad peach in the peach cobbler?

Either there are no bad peaches, or these is at least 1. The sum of the probabilities of these events is 100%. So

p + 0.21 = 100

p = 99.79

99.79% probability of having at least 1 bad peach in the peach cobbler

(c) What is the probability of having exactly 2 bad peaches in the peach cob- bler?

Desired outcomes:

2 bad peaches, from a set of 3.

One good peach, from a set of 12.

D = C_{3,2}*C_{12,1} = \frac{3!}{2!(3-2)!}*\frac{12!}{1!(12 - 1)!} = 36

Total outcomes:

12 peaches, from a set of 15. So

T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455

Probability:

p = \frac{D}{T} = \frac{36}{455} = 0.0791

7.91% probability of having exactly 2 bad peaches in the peach cobbler.

3 0
3 years ago
3 1/8 rounded to the closest benchmark
Karolina [17]
I have the answer but brainly is not working
3 0
3 years ago
Read 2 more answers
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