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3 years ago

The length of the sides of a triangle is given. Determine

Mathematics

1 answer:

Stels [109]3 years ago

3 0

Answer:

The triangle is a right triangle

Step-by-step explanation:

For the triangle to be right, Pythagoras’ theorem must be obeyed

According to the theorem, the square of the longest side (the hypotenuse) equals the sum of the squares of the two other sides

Now, from the given side lengths, the highest value is 10;

squaring this, we have 10^2 = 100

Squaring and adding the other values, we have

6^2 + 8^2 = 36 + 64 = 100

This mean the values are equal and the Pythagoras’ theorem is obeyed

Hence, we can conclude that the triangle with the given side lengths is a right triangle

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Thomas brings over 1/2 of his marble collection. He divides these marbles equally among 3 friends. What fraction of Thomas's ent

aleksley [76]

Answer:

Each of the three friends will get one-sixth of the Thomas's enitre marble collection.

Step-by-step explanation:

Fraction of the total marble collection brought by Thomas = $\frac{1}{2}$

Now, Thomas divides these marbles equally among his three friends. So, each of the three friends will get one-third of the total marble collection brought by Thomas.

Fraction of total marble collection got by each friend = $\frac{1}{3} \;of\;fraction\;of\;total\;marble\;collection\;brought\;by\;Thomas$

= $\frac{1}{3}\times\frac{1}{2}=\frac{1}{6}$

∴ Each of the three friends of Thomas will get one-sixth of his entire collection of marbles.

7 0

3 years ago

Sydney needs to earn $35 so she can buy her father a birthday present. her mom said she can make $6 per hour cleaning around the

grin007 [14]

K = 13The smallest zero or root is x = -10

4 0

3 years ago

A ball is thrown in the air from a ledge. Its height in feet is represented by

Genrish500 [490]

check the picture below.

$\bf \stackrel{f(x)}{0}=-16(x^2-6x-7)\implies 0=x^2-6x-7 \\\\\\ 0=(x-7)(x+1)\implies x= \begin{cases} \boxed{7}\\ -1 \end{cases}$

it cannot be -1, because is a seconds amount after moving.

8 0

3 years ago

Q4.

goblinko [34]

The coding of the statistic is used to make it easier to work with the large sunshine data set

The mean of the sunshine is 3.05 $\overline 6$

The standard deviation is approximately 18.184

Reason:

The given parameters are;

The sample size, n = 3.

∑x = 947

Sample corrected sum of squares, Sₓₓ = 33,065.37

The mean and standard deviation = Required

Solution:

$Mean, \ \overline x = \dfrac{\sum x_i}{n}$

The mean of the daily total sunshine is therefore;

$Mean, \ \overline x = \dfrac{947}{30} \approx 31.5 \overline 6$

$s = \dfrac{x}{10 } - \dfrac{1}{10}$

$E(s) = \dfrac{Ex}{10 } - \dfrac{1}{10}$

$E(s) = \dfrac{31.5 \overline 6}{10 } - \dfrac{1}{10} = 3.05 \overline 6$

The mean ≈ 3.05 $\overline 6$

Alternatively

, $The \ mean \ of \ the \ daily \ total \ sunshine, \, s = \dfrac{31.5 \overline 6 - 1}{10 } = 3.05\overline 6$

The mean of the daily total sunshine, $\overline s$ ≈3.05 $\overline 6$

$Var(s) = Var \left(\dfrac{x}{10 } - \dfrac{1}{10} \right)$

$Var(s) = \left(\dfrac{1}{10}\right)^2 \times Var \left(x \right)$

Therefore;

$Var(s) = \left(\dfrac{1}{10}\right)^2 \times 33,065.37 = 330,6537$

Therefore;

$s = \sqrt{330.6537} \approx 18.184$

The standard deviation, $s_s$ ≈ 18.184

Learn more about coding of statistic data here:

brainly.com/question/14837870

3 0

2 years ago

Write an equation on the line with a slope of 2/3 and y intercept of -8

gtnhenbr [62]

Answer:

y = 2/3x-8

Step-by-step explanation:

in the equation y = mx+b, m = slope and b = y-intercept. all you have to do is plug the numbers in!!

4 0

3 years ago