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3 years ago

Question:6 ...................................

Mathematics

2 answers:

notka56 [123]3 years ago

8 0

Answer:

10.58

Step-by-step explanation:

For this question you can use Pythagorean Theorem. This Theorem states that a^2 + b^2 = c^2. Please note that Pythagorean Theorem only works with right triangles, and this is a right triangles because it has a right angle. The hypotenuse is the side of the right triangles that is opposite the right angle. In other words, it's the longest side, and this side is put in the formula as c. You plug in the length of the hypotenuse into c. So 16 is c because 16 is the length of the hypotenuse. Sides a and b are the other two sides - doesn't matter which is which. Plug in 12 for a and x for b. Again, you could plug in 12 for b and x for a and still get the same answer, but I'll stick with 12 is a and x is b. When you plug in your numbers to your formula, it will look like this: (12)^2 + (x)^2 = (16)^2. You don't have to put the parentheses on the terms you plugged in. In that case, it'd look like: 12^2 + x^2 = 16^2. Next, solve for x.What I would do first is square the a and c terms. 12^2 is 144 and 16^2 is 256. So you now have 144 + x^2 = 256. Next, I'd subtract 144 from both sides of the equation in order to isolate the b term or x. We are getting it by itself. So 256 minus 144 is 112. So you should have x^2 = 112. Then, in order to isolate the x, you have to do the opposite of squaring. And that is square rooting. So take the square root of both sides and you'll be left with x is approximately 10.58. Round to the nearest hundredth as this is what the directions read.

Varvara68 [4.7K]3 years ago

4 0

Answer:

this is the answer using puthagoras theorem and it is more than 100 but in root

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Write an equation of a quadratic with roots of -1/4 and 3/2

Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

First and foremost, a root is the same thing as a zero. It's called a zero because when x is equal to -1/4 (as it is here), y = 0. Where y = 0 is the x-axis. So if a quadratic has a 0 of -1/4, that is where the graph of the parabola goes through the x-axis.

If your quadratic has a zero of -1/4, that means that when y = 0, x = -1/4. Again, because this is a zero of the quadratic, then we can write it in factor form by setting x = -1/4 equal to 0. Do that like this:

If x = -1/4, then x + 1/4 = 0 and the factor is (x + 1/4) However, we do not want to leave that as a fraction. Take care of the fraction when it is set to equal 0:

$x+\frac{1}{4}=0$ and multiply everything by 4:

$(4)x+(4)\frac{1}{4}x=(4)0$ and simplify to

4x + 1 = 0 and the factor is

(4x + 1).

Do the same with the 3/2: If

$x=\frac{3}{2}$ , then

$x-\frac{3}{2}=0$ . Multiply everything by 2 to get:

$(2)x-(2)\frac{3}{2}=(2)0$ to give you

2x - 3 = 0 and the factor is

(2x - 3).

FOIL those 2 factors together to get

$8x^2-12x+2x-3=0$ which simplifies to

$8x^2-10x-3=0$

Now set it back equal to y and you're done!

7 0

4 years ago

Find the product of (2x+5)(3x-6)

iVinArrow [24]

Answer:

6x^2 + 3x - 30

Step-by-step explanation:

3 0

4 years ago

A rectangular rug is 12.5 and 10 the rug needs to be reduced by the scale factor of 1/5 to be placed near a door.what is thearea

Murrr4er [49]

12.5 * 10 = 125 square feet (ORIGINAL RUG)

2.5 * 2 = 5 square feet (SCALED RUG)

10 * 8 = 80 square feet (SCALED RUG)

Its one of these, you didnt provide enough info to get one answer. Hope this helped though!

6 0

3 years ago

On the first of each month, Sasha runs a 5k race. She keeps track of her times to track her progress. Her time in minutes is rec

Angelina_Jolie [31]

The difference of mean for the given set of terms including the outlier and excluding the outlier is 1.01.

The arithmetic mean for a given set of numbers is defined as the central value for the given set of numbers.

Given that Sasha runs a 5k race. Her time in minutes is recorded in the table:

Jan 39. 55
Feb 40. 51
Mar 41. 01
Apr 37. 76
May 35. 32
June 33. 28
July 34. 38
Aug 36. 48
Sept 39. 87
Oct 50. 32
Nov 40. 59
Dec 41. 71.

The mean for the given set of terms can be calculated by the total sum of all the terms divided by the total number of terms.

Mean = $\dfrac {39. 55+40. 51+41. 01+37. 76+35. 32+33. 28+34. 38+36. 48+39. 87+50. 32 +40. 59+41. 71} {12}$

Mean = 39.23

Thus the mean of the given set of terms is 39.23.

The outlier term in the given set of terms is 50.32. If we exclude this outlier term, then the mean will be given as below.

Mean = $\dfrac {39. 55+40. 51+41. 01+37. 76+35. 32+33. 28+34. 38+36. 48+39. 87+40. 59+41. 71} {11}$

Mean = 38.22

The difference between the mean including the outlier and excluding the outlier is given below.

Difference = 39.23 - 39.22

Difference = 1.01

Hence we can conclude that the difference of mean for the given set of terms including the outlier and excluding the outlier is 1.01.

To know more about the mean, follow the link given below.

brainly.com/question/12513463.

3 0

3 years ago

What is the surface area in square inches of a cube with side lengths of 4 inches

Anton [14]

Answer:

96 in²

Step-by-step explanation:

for a cube of side 4 inches

area of each face = 4 x 4 = 16 in²

However we know that a cube has 6 identical faces,

Hence surface area of cube

= 6 x area of each face

= 6 x 16 in²

= 96 in²

5 0

3 years ago

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