MATHEMATICS HIGH SCHOOL

The sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.

Answers

Answer 1
Answer:

Answer:

9 units.

Step-by-step explanation:

Let us assume that length of smaller side is x.

We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.

We know that sides of similar figures are proportional. When the proportion of  similar sides of two similar figures is , then the proportion of their area is .

We can see that length of smaller side of 1st quadrilateral is 3 units, so we can set a proportion as:

Take positive square root as length cannot be negative:

Therefore, the length of the shortest side of the similar quadrilateral would be 9 units.

Answer 2
Answer:

Answer:

the answer is 9

Step-by-step explanation:

Just did the lesson


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MIDDLE SCHOOL

What is the equivalent decimal of 1 3/4

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The answer to 1 3/4 in decimal form is 1.75
1+ 3/4 =1+0.75
= 1.75
COLLEGE

Ydx+(y-x)dy=0 Please be as thorough as possible when explaining this, I'm struggling very much trying to solve ODE's

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Answer:  The required solution of the given differential equation is

Step-by-step explanation:  We are given to solve the following ordinary differential equation :

We will be using the following formulas for integration and differentiation :

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Thus, the required solution of the given differential equation is

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MIDDLE SCHOOL

660 divided by 15 is the same as ____ x ? = _____ ____ + _____ = _____ (Please help fill in the blanks!)

Answers

B.B. chjvk u bolhh♌️
MIDDLE SCHOOL

the price of a pen is rs 42 and of a notebook is Rs 18. calculate how many pen and notebook you can buy for Rs 480 if you want to buy an equal quantity of both​

Answers

x - quantity of pens and notebooks

x*42+x*18=480

x(42+18)=480

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x=480/60=8

Check

8*42=336

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MIDDLE SCHOOL

Consider the sequence 130, 143, 156, 169, ... Write an explicit formula to represent the arithmetic sequence and use it to find the 13th term.

Answers

Answer:

a(n) = 130 + (n-1) 13

13th term = 286

Step-by-step explanation:

We are given a sequence of numbers: 130, 143, 156, 169, ... and we are to write an explicit formula to represent the arithmetic sequence and use it to find the 13th term.

We know that the arithmetic sequence can be defined by:

where = the common difference between consecutive terms ; and

=

13th term:

Therefore, the formula for this sequence will be a(n) = 130 + (n-1) 13 and 13th term is 286.

HIGH SCHOOL

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Would this be a line?
MIDDLE SCHOOL

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is equivalent to

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Hi Mpmolina, 

x² - 16
= (x)² - (4)²
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HIGH SCHOOL

Write using exponents -3m × n ×n

Answers

-3m*n^2 because n*n is n squared, and -3m is still there

COLLEGE

A bag contains 5 blue balls, 4 red balls, and 3 orange balls. If a ball is picked from the bag at random, what is the probability that it is a blue ball? Answers have been rounded to the tenths place.

Answers

Answer:

It is 0.4, the answer under is right, just convert it to decimal.

Step-by-step explanation:

5 / ( 5 + 4 + 3 ) = 41.6%All the balls make 100% of the balls (12), 5 balls are blue, so you divide 5 blue balls, by 100% of the balls (12) to arrive at the percentage of probability of pulling a blue ball from the bag.
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