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otez555 [7]
3 years ago
14

A trapezoid has an area of 13.5 square inches. If the bases are 3 and 6 inches what is the height?

Mathematics
1 answer:
liraira [26]3 years ago
5 0
Well the formula is : b1+b2/2 (h)

so the height would be solved as : 
13.5 = 3+6/2 (h)
13.5 = 9/2 (h)
h = (13.5)/(9/2)
h = (13.5) x (2/9)  *reciprocal*
h = (27) / (9)
h = 3


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Would a yardstick be reasonable to measure the length of a canoe paddle
pishuonlain [190]
Most charts for the sizes of the canoe paddle give the sizes in units of inches. A yard is a unit of measure of length that is equal to 36 inches. Although some sizes of the canoes paddle torso are not greater than 36 inches, the yardstick can still be a reasonable measuring tool for bigger canoe paddles. 
8 0
3 years ago
the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence
maxonik [38]

Answer:

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, called common difference, and the nth term is given by:

a_{n} = a_0 + (n-1)d

In which d is the common difference.

Sum of the first n terms:

The sum of the first n terms of an arithmetic sequence is given by:

S_{n} = \frac{n(a_1+a_n)}{2}

ai = ai-1 + 6

This means that d = 6

In this question:

Sum of the first 800 terms, so n = 800

First term is -53, so a_1 = -53

The 880th term is:

a_{880} = -53 + (880-1)*6 = 5221

Sum

S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920

The sum of the first 880 terms in the sequence is 2,273,920.

4 0
3 years ago
Moses led the Jews out of Egypt. How many years of wandering in the desert did it take until they reached the Promised Land? A)
Gelneren [198K]
C 40 years thats what i remeber.✌
6 0
3 years ago
A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a
Likurg_2 [28]

Answer:

0.0011 = 0.11% probability of selling less than 3 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used 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}

In which 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)!}

And p is the probability of X happening.

A real estate agent has 17 properties that she shows.

This means that n = 17

She feels that there is a 50% chance of selling any one property during a week.

This means that p = 0.5

Compute the probability of selling less than 3 properties in one week.

This is

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

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

P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0

P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001

P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011

0.0011 = 0.11% probability of selling less than 3 properties in one week.

5 0
3 years ago
How is solving −7x = −10.5 different from solving − 1 7 x = −10.5? How are the solutions related? Complete the explanation.
pickupchik [31]
They are different because -7 is not equal to -17
8 0
2 years ago
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