MATHEMATICS MIDDLE SCHOOL

The lengths of two side of a right triangle are given find the length of the third
side

Answers

Answer 1
Answer:

Answer:

your answer depends on what sides are given.

For example, lets say that you now the lengths of two sides, these being 56 and 24. ( these are just random numbers BTW) to find the third you would add the two lengths that you know and then minus them from 180. So for the example i just typed you would do 56 + 24 first which equals 80, then would do 180-80 which equals 100.

To check your answer, you could do this:

DO THE ABOVE AGAIN CAREFULLY (lol I don't usually check so.. idk)

math is my worst subject so.... hope this helped you.
Answer 2
Answer:

Answer:

Use the Pythagorean Theorem:  a² + b² = c².

Step-by-step explanation:

For any given right triangle the sum of the measures of the sides squared is equal to the hypotenuse squared.  The formula is call the Pythagorean Theorem and is written:  a² + b² = c², where 'a' and 'b' are the legs of the triangle and 'c' is the hypotenuse.  

Depending on which side of the triangle they give you, you can plug the other two side lengths into the equation to solve for the third.

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By rounding each number to 1sf estimate the answer to 236 x 75

Answers


17,700

Hope It Helps Kid :)

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sara travels twice as far as Eli when going to camp. Ashley travels as far as Sara and Eli together. Hazel travels 3 times as far as Sara. In total , all four travel a total of 888 miles to camp. How far do each of them travel?

Answers

Let's represent how far Eli travels as x.
Sara travels twice as far as that, so 2x.
Ashley travels as far as Eli and Sara combined. x + 2x = 3x.
Hazel travels 3× as far as Sara, and 3×2x = 6x.

All of these add up to 888.
x + 2x + 3x + 6x = 888
Let's add up these like terms.
12x = 888
We can then divide each side by 12...
x = 74

Therefore, Eli traveled 74 miles!
We can use this value to figure out everyone else's distances as well.
Sara = 2 × 74 = 148
Ashley = 3 × 74 = 222
Hazel = 6 × 74 = 444
  • Sara: 148 miles
  • Eli: 74  miles
  • Ashley: 222  miles
  • Hazel: 444 miles

Further explanation

Given:

  • Sara travels twice as far as Eli when going to camp.
  • Ashley travels as far as Sara and Eli together.
  • Hazel travels three times as far as Sara.
  • In total, all four travel a total of 888 miles to camp.

Question:

How far does each of them travel?

The Process:

Notice of the four people, the easiest way is to start from Eli.

Let's call Eli's travel as x.

\boxed{ \ Eli's \ travel = x \ }

Sara travels twice as far as Eli.

\boxed{ \ Sara's \ travel = 2x \ }

Ashley travels as far as Sara and Eli together.

\boxed{ \ Ashley's \ travel = x + 2x \rightarrow \boxed{ \ Ashley's \ travel = 3x \ }}

Hazel travels three times as far as Sara.

\boxed{ \ Hazel's \ travel = 3 * 2x \rightarrow \boxed{ \ Hazel's \ travel = 6x \ }}

In total, all four travel a total of 888 miles to camp. Meaning, all of the above adds up to 888.

\boxed{ \ x + 2x + 3x + 6x = 888 \ }

\boxed{ \ 12x = 888 \ }

\boxed{ \ 12 \cdot x = 888 \ }

Both sides multiplied by 12.

\boxed{ \ x = 888 / 12 \ }

\boxed{\boxed{ \ x = 74 \ }}

We have obtained x. The final step is to substitute the value of x for each person's travel.

  • \boxed{ \ Eli's \ travel = x \rightarrow \boxed{ \ Eli's \ travel = 74 \ miles \ }}
  • \boxed{ \ Sara's \ travel = 2x \rightarrow \boxed{ \ Sara's \ travel = 2 * 74 = 148 \ miles \ }}
  • \boxed{ \ Ashley's \ travel = 3x \rightarrow \boxed{ \ Ashley's \ travel = 3 * 74 = 222 \ miles \ }}
  • \boxed{ \ Hazel's \ travel = 6x \rightarrow \boxed{ \ Hazel's \ travel = 6 * 74 = 444 \ miles \ }}

Thus we already know how far each of them travels.

- - - - - - -

The summary scheme is as follows:

  • Eli's travel ⇒ \boxed{x}
  • Sara's travel ⇒ \boxed{x}\boxed{x}
  • Ashley's travel ⇒ \boxed{x}\boxed{x}\boxed{x}  
  • Hazel's travel ⇒ \boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}

\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x} = 888

\boxed{ \ 12 \cdot x = 888 \ }

\boxed{ \ x = 888 / 12 \ }

Hence, the value of x is \boxed{\boxed{ \ x = 74 \ }}

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Keywords: Sara travels, twice, as far as, Eli, when going to camp, Ashley, Hazel, three times, In total, all four travel, 888 miles, how far, each, substitute

Find the zeros of f(x) = 4x2 + 5x - 21. {-7/4, 3} {7/4, -3} {3/4, -7}

Answers

Answer:

x = - 3, x = (7)/(4)

Step-by-step explanation:

Given

f(x) = 4x² + 5x - 21

To obtain the zeros, equate f(x) to zero, that is

4x² + 5x - 21 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × - 21 = - 84 and sum = + 5

The factors are + 12 and - 7

Use these factors to split the x- term

4x² + 12x - 7x - 21 = 0 ( factor the first/second and third/fourth terms )

4x(x + 3) - 7(x + 3) = 0 ← factor out (x + 3) from each term

(x + 3)(4x - 7) = 0

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

4x - 7 = 0 ⇒ 4x = 7 ⇒ x = (7)/(4)

Final answer:

You can find the zeros of the function f(x) = 4x² + 5x - 21 by setting the function equal to zero and solving for x using the quadratic formula. Upon solving, you get the zeros as -7/4 and 3.

Explanation:

To find the zeros of the quadratic function f(x) = 4x² + 5x - 21, you need to set the function equal to zero and solve for x. This means solving the equation 4x2 + 5x - 21 = 0. This is a quadratic equation that can be solved using the quadratic formula, x = [-b ± √(b² - 4ac)] / (2a).

Here, a = 4, b = 5, and c = -21. Substituting these values into the quadratic formula gives us x = [-5 ± √((5)² - 4*4*(-21))] / (2*4). Simplifying yields x = {-7/4, 3}.

Learn more about Finding Zeros of a Quadratic Function here:

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#SPJ2

Round the number 347 500 to the nearest 1000, 10 000 and 100 000

Answers

The rounded form of 347500 for given cases gives 348000, 350000 and 300000.

What is rounding a number to some specific place?

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed  from the right in terms of exact digits.

For this case, we've got the number 347,500

Rounding it for given cases:

  • Case 1: Rounding it to the nearest 1000,

Rounding to nearest thousand means rounding to the digit whose value is in thousands (from 0 to 9).

This is the fourth digit from right of the decimal.

347500 = 347500.0

The fourth digit from right is 7

Rounding to it, as it has 5 next to it, the rounded version will make 7500 -> 8000

Thus, we get:

347500 -> 348000

Similarly,

  • Case 2: Rounding to nearest 10000

There are 5 digits in 10000, and 5th digit from right in 347500 is 4

Right to 4, there is 7, which is ≥ 5,  therefore, 47500 will become 50000

Thus, we get:

347500 -> 350000

  • Case 3: Rounding to the nearest 100000

6th digit from right in 347500 is 3.

Right to 3 lies 4. 4 < 5 therefore 347500 will become 300000 after rounding to the nearest 100000

The digit 5 acts as a limit.

If the right sided digit to the digit where we've to round off is < 5, we keep it same and make all right sided values 0, and if the right sided digit  is > 5, then we make it increase by 1 and rest of the right sided digits become 0. If the digit on right is 5, and after it there is only zeros or no value, then we round up (increase by 1, as we did in 347500 -> 34800 ) (Well there are many detailed rules of rounding)

Thus, the rounded form of 347500 for given cases gives 348000, 350000 and 300000.

Learn more about rounding digits here:

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1000- 348 000
10 000- 350 000
100 000-300 000
I think this should be your answer

What’s the answer and how do I do it

Answers

Answer:

30.6%

Step-by-step explanation:

10.75/15.5 = x/100

0.69354838709 x 100 = x = 69.3548387097

100% - 69.3548387097% = 30.6451612903% discount
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