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3 years ago

What are the solution(s) to the quadratic equation 50 - x² = 0?

Mathematics

1 answer:

grandymaker [24]3 years ago

7 0

Answer:

The answer is C.

Step-by-step explanation:

$50-x^2=0$

$x^2=50$

$x=\pm \sqrt{50} =\pm \sqrt{25*2}=\pm 5\sqrt{2}$

The answer is C (I am assuming that it isn't 5/2).

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An isosceles triangle has 2 angles that measure 37 degrees each. Write 2 different equations that could be solved to find the me

LuckyWell [14K]

Answer:

The third angle of isosceles triangle is 106° .

Step-by-step explanation:

Given as :

The measures of equal angles of isosceles triangle = 37°

i.e $\Theta _1$ = $\Theta _2$ = 37°

Let The third angle of isosceles triangle = $\Theta _3$

Now,

An isosceles triangle is that whose opposite sides are equal and two angles are equal

<u>Now, From the property of Triangle</u>

The sum of all three angles of Triangle = 180°

i.e $\Theta _1$ + $\Theta _2$ + $\Theta _3$ = 180°

∵ $\Theta _1$ = $\Theta _2$ = 37° (given)

So, 37° + 37° + $\Theta _3$ = 180°

Or, 74° + $\Theta _3$ = 180°

Or, $\Theta _3$ = 180° - 74°

∴ $\Theta _3$ = 106°

So, The third angle of isosceles triangle = $\Theta _3$ = 106°

Hence,The third angle of isosceles triangle is 106° . Answer

7 0

3 years ago

Consider these four data sets. Set A: {32, 12, 24, 46, 18, 22, 14} Set B: {4, 12, 11, 14, 11, 5, 12, 13, 18, 14} Set C: {5, 4, 9

drek231 [11]

SET A

The elements of this set are,

$32,12,24,46,18,22,24$

We arrange this data set in ascending order to get,

$12,18,22,24,24,32,46$

The median for this data set is

$median = 24$

The mean for this data set can be calculated using the formula,

$\bar X = \frac{ \sum x}{n}$

This implies that,

$\bar X = \frac{ 12 + 18 + 22 + 24 + 24 + 32 + 46}{7}$

$\bar X = \frac{154}{7} = 22$
This data set is negatively skewed because the mean is less than the median.

SET B

This set contains the elements,

$4, 12, 11, 14, 11, 5, 12, 13, 18, 14$

We arrange the elements of this set in ascending order to obtain,

$4,5,11,11,12,12,13,14,14,18$

The median for this data set is,

$median = \frac{12 + 12}{2} = 12$

The mean is

$\bar X = \frac{4 + 5 + 11 + 11 + 12 + 12 + 13 + 14 + 14 + 18}{10}$

.
$\bar X = \frac{114}{10} = 11.4$

This data set is negatively skewed because the mean I'd less than the median.

SET C

The set C has elements,
$5, 4, 9, 12, 14, 26, 22, 18$

We arrange this set in ascending order to get,

$4,5,9,12,14,18,22,26$

The median of this data set is

$median = \frac{12 + 14}{2} = 13$

The mean of this data set is
$\bar X = \frac{4 + 5 + 9 + 12 + 14 + 18 + 22 + 26}{8}$

$\bar X = \frac{110}{8} = 13.75$

This is a positively skewed distribution because the mean is greater than the median

SET D

The elements of this set are

$1, 1, 1, 2, 2, 3, 3, 4, 5, 6$

The median of this data set is

$median = \frac{2 + 3}{2} = 2.5$

The mean is
$\bar X= \frac{1 + 1 + 1 + 2 + 2 + 3 + 3 + 4+ 5 + 6}{10}$

$\bar X= \frac{28}{10} = 2.8$

This data set is positively skewed because the mean is greater than the median.

4 0

3 years ago

Read 2 more answers

Consider the line y= -9x + 5

babunello [35]

Answer:

x= 5<em>/9</em>

Step-by-step explanation:

y=-9x+5

0=-9x+5

9x=5

x=5/9

5 0

3 years ago

Help me pls 5points or 10

Ksivusya [100]

The first graph.

if it is greater then 3 the circle is not filled. if it is greater then OR EQUAL TO 3 then the dot will be filled.

hope this helps!!

7 0

2 years ago

Assume body weight and height are related by the formula W=2H+13, where W represents weight in pounds and H represents height in

yulyashka [42]

Given the equqation
W = 2H + 13
where
W is the weight in lb
H is the height in inches

If the height of a person is 5 ft 6 in, we must first convert it to inches. So,
H = 5(12) + 6
H = 66 in

The body weight then is,
W = 2(66) + 13
W = 145 lbs

8 0

3 years ago