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Digiron [165]
3 years ago
6

Please help ASAP!!!!!!!!!!!

Mathematics
1 answer:
Effectus [21]3 years ago
4 0

Answer:

x = 3.76 ft

Step-by-step explanation:

To find the missing side, "x", solve using proportions.

In similar polygons, the 'new' polygon was created by multiplying every side of the 'old' polygon by the same number. Every side was multiply by the <u>scale factor</u>, "k", which tells you how much a polygon grew (k>1) or shrunk (0<k<1).

Therefore, if you divided the pairs of corresponding sides, they would be equal.

From the diagram, you can tell that the following sides correspond:

CB ~ GF

AB ~ EF

<u>Use the proportion</u>

\frac{EF}{AB} = \frac{GF}{CB}

\frac{x}{6ft} = \frac{3.3ft}{5ft}      Substitute values from diagram

6ft*\frac{x}{6ft} = 6ft*\frac{3.3ft}{5ft}       Multiply both sides by 6 ft

x = \frac{6ft*3.3ft}{5ft}        "x" is isolated. Multiply fraction by combining into numerator

x = \frac{19.8ft}{5ft}        Solved numerator. Divide for decimal answer.

x = 3.76ft

The value of 'x' is 3.76 ft.

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ATM personal identification number (PIN) codes typically consist of four-digit sequences of numbers. Find the probability that i
oksian1 [2.3K]

Answer:

(a) 0.0001 or 0.01%

(b) 0.01 or 1%

Step-by-step explanation:

Since there are 10 possible numeric digits (from 0 to 9), and there is only one correct digit, there is a 1 in 10 change of getting each digit right.

The probability that if you forget your PIN, then you can guess the correct sequence

(a) at random:

P=(\frac{1}{10})^4=0.0001=0.01\%

(b) when you recall the first two digits.

P=(\frac{1}{10})^2=0.01=1\%

7 0
3 years ago
A warehouse contains 7250 books in it. Books are being shipped from the warehouse such that the number of books decreased by 150
Lapatulllka [165]

Using an linear function, we have that:

  • The inequality is: -150D + 7250 < 2000
  • The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem:

  • A warehouse contains 7250 books in it, hence b = 7250.
  • Books are being shipped from the warehouse such that the number of books decreased by 150 per day, hence m = -150.

Thus, the number of books each day is modeled by the following function:

B(D) = -150D + 7250

It will begin to print more books when the warehouse contains less than 2000 books, hence, the inequality is:

B(D) < 2000

-150D + 7250 < 2000

Then:

-150D < -5250

150D > 5250

D > \frac{5250}{150}

D > 35

The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

More can be learned about linear functions at brainly.com/question/24808124

7 0
2 years ago
The granola summer buys used to cost $6.00 per pound, but it has been marked up 15%. How much in dollars and cents will summer p
Norma-Jean [14]
Summer will pay $17.94 for 2.6 lbs of granola

6 0
3 years ago
M+4+2-7m+6 I need to find how many’s terms are in it and what are the terms
madreJ [45]

Answer:

5 terms:  m, 4, 2, -7m, 6 are the terms in question.

Step-by-step explanation:

Note that terms here are separated from one another by either + or - signs.

m + 4 consists of two terms, since m and 4 are separated by the + operator.

2 - 7m are separated by the - operator, and so there are two terms here.

Completing the counting procedure, we get:

m (first term) + 4 (second term) + 2 (third term -7m (fourth term) + 6 (fifth term).

So, if we do NOT combine like terms, we have five (5) terms altogether.

If we DO combine like terms, we end up with two (2) terms:

m -7m + 4 + 2 + 6, or -6m + 12, or two (2) terms.

5 0
3 years ago
A pizza place offers 3 different cheeses and 12 different toppings. In how many ways can a pizza be made with 1 cheese and 3 top
svetlana [45]
You have to choose 1 sort of cheese from 3 ( 3 ways ). Also you have to choose 3 toppings from 12 different toppings:
12 * 11 * 10 = 1,320 ways.
In total: 3 * 1,320 = 3,960
Answer:
In 3,690 ways can pizza be made with 1 cheese and 3 toppings.
3 0
3 years ago
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