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3 years ago

The triangles are similar, find y

Mathematics

1 answer:

Luda [366]3 years ago

3 0

Answer:

y = 3.6

x = 3.5

Step-by-step explanation:

The triangles are similar.

$\frac{3}{2.4} = \frac{x}{2.8} = \frac{4.5}{y}$

Find y:

$\frac{4.5}{y} = \frac{5}{4}$

$4.5 * 4 = 5y => 18 = 5y => y = 3.6$

Find x:

$\frac{x}{2.8} = \frac{5}{4}$

$2.8 * 5 = 4x => 14 = 4x => x = 3.5$

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HELPPPP PLEASE!!!!!!

worty [1.4K]

Answer:

Step-by-step explanation:

line RPN = 180 = 4y - 10 + 90 + y

180 - 90 + 10= 5y

100 = 5y

y = 100/5

y = 20

7 0

3 years ago

What's the scientific notation of 4,890,000? Please show work because I don't really understand how to do this type of math stuf

Oksana_A [137]

The correct answer:
_________________________________________
The number: "4,890,000" ; written in "scientific notation", is:
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4.89 * 10 ⁶ .
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To write a number using "scientific notation", one:
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1) Looks at the entire number, and consider the "string of sequential digits" that are either precede OR any digit or trailing digits of "zero" --- if any exist.
Regardless if any exist, one considers, for a moment, that "string of digits", or "single digit, for that member" as a number, in and of itself. Considering this value as a number, one write the first digit in that number. If there are more than one digit in this "number", one writes a decimal place, and then writes ALL THE DIGITS THAT FOLLOW (if there are any), in sequential order, unit the last non-zero integer is reached. Then, one writes a multiplication sign, and then the number 10 (with an appropriate assigned to the "10", which may be: "1", or a "negative number", or a positive number. To find out the correct number to write, one refers to the ORIGINAL NUMBER; then one looks at what one has written down—and where the decimal point has been written at the number written down. One matches this "decimal point" place to the ORIGINAL number, and then counts the FULL NUMBER OF TENS PLACES to the right, or left, until the ENTIRE number is complete (this would include any "trailing zeros" to the right; OR to the left; but not BOTH. If to the left, one would count UP TO AND INCLUDING the decimal point, but NOT the number "0" that is BEFORE the decimal point. If to the left, the exponent would be a "negative number"; then number of spaces to the LEFT. If to the right, the exponent would be the number of spaces to the RIGHT (including the trailing zeros).
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So, for this problem.
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4.89 * 10⁶ . (That is, 4.89* 10^6 ; because we have the whole number, "4"; then we write the "decimal point". Then we write the sequential digits: "89";
and then: we write:
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" * 10⁶ " ;
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since, after the number "4", we count the 8, then the 9, (which is already TWO (2) places, then all the remaining digits (the remaining FOUR (4) zeros), until the end of the number is reached.
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Additional note: As a matter of technicality: Consider the following:
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How would we write: "49" ; in scientific notation?
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Answer: In reality, we probably would not write such a small number in scientific notation, but we could if we wanted. The answer would be:
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4.9 * 10¹ .
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How would we write: "-49" ; in scientific notation?
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Answer: Again, in reality we probably wouldn't, because it wouldn't be practical. But the answer is: -4.9 * 10¹ .
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What is: "0.49" in scientific notation? Answer: 4.9 * 10⁻¹
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Similar to our problem:
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What is: "0.0000489" in scientific notation?
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Answer: 4.89 * 10⁻⁵ (that is, 4.89 * 10^(-5) ). Since we write down the "whole number integer, plus a decimal, then we would count the number of spaces BACK FROM (in this case) the decimal.
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What about "0.0000489002" in scientific notation?
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Answer: 4.89002 * 10⁻⁵ (that is: 4.89002 * 10^(-5) ).
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What about: 0.0004890000 ?
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Answer: Though often prone to debate by some, we would still be on the safe side and write as:
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4.890000 * 10 ⁻⁴ .
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How to write: "5" in scientific notation? Answer: 5 * 10⁰ .
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(since anything to the "0th" power = 1 ;
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Hope that this lengthy explanation is of help!

3 0

3 years ago

Mr. Smith goes to the concession stand and buys 2 soft pretzels and 1 cheeseburger for $8.25. Mr. Martin goes to the same conces

polet [3.4K]

Answer:

$4.15

Step-by-step explanation:

Let the cost of a cheeseburger be x

Let the cost of a soft pretzels be y

If Mr. Smith goes to the concession stand and buys 2 soft pretzels and 1 cheeseburger for $8.25, this is expressed as;

x + 2y = 8.25 .... 1

Also, if Mr. Martin goes to the same concession stand and buys 1 soft pretzel and 3 cheeseburgers for $13.50, this is expressed as;

3x + y = 13. 50..... 2

The required equations are:

x + 2y = 8.25

3x + y = 13. 50

Find x and y by solving simultaneously:

From 1: x + 2y = 8.25

x = 8.25 - 2y ..... 3

Substitute 3 into 2

3(8.25-2y)+y = 13.50

24.75 - 6y+y = 13.50

24.75 - 5y = 13.50

-5y = 14.50 - 24.75

-5 y = 10.25

y = -10.25/-5

y = 2.05

Since x = 8.25 - 2y

x = 8.25 - 2(2.05)

x = 8.25 - 4.1

x = 4.15

Hence the cost of a cheesburger is $4.15

4 0

3 years ago

In Katy’s garden there are 105 ladybugs. They are increasing at two ladybugs per month. There are currently 175 aphids and the n

Ghella [55]

Answer:

They won't ever be the same at the same time.

explanation:

Add 2 to 150 and subtract 3 from 175 till you hit a common number at the same month

150, 152, 154, 156, 158, 160, 162

175, 173, 170, 169, 166, 163, 160

seeing as they have already passed each other, its not possible for the numbers to be the same at the same time.

5 0

3 years ago

Find the inverse of the function f(x) = 5/6x +10

UkoKoshka [18]

Answer:

$\displaystyle f^{-1}(x)=\frac{6x-60}{5}$

Step-by-step explanation:

Inverse function

Given the function

$\displaystyle f(x)=\frac{5}{6}x+10$

We find its inverse following the procedure below:

Set y=f(x)

$\displaystyle y=\frac{5}{6}x+10$

Multiply by 6:

$6y=5x+60$

Operate:

$5x=6y-60$

Solve for x:

$\displaystyle x=\frac{6y-60}{5}$

Swap variables:

$\displaystyle y=\frac{6x-60}{5}$

Make the new y the inverse function:

$\boxed{\displaystyle f^{-1}(x)=\frac{6x-60}{5}}$

This is the inverse function

4 0

3 years ago