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3 years ago

F

Mathematics

1 answer:

Stells [14]3 years ago

7 0

Answer:

$x = 34.8^\circ$

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x

To do this, we simply apply sin formula which is:

$sin(\theta) = \frac{Opposite}{Hypotenuse}$

In this case, it is:

$sin(x) = \frac{8}{14}$

$sin(x) =0.5714$

Take arcsin of both sides

$x = sin^{-1}(0.5714)$

$x = 34.84791$

$x = 34.8^\circ$ --- approximated

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1) A business man gives N18 000,00 to his three children

pashok25 [27]

Answer: The least share is N450000

Step-by-step explanation:

Given that :

Amount shared = N18 00000

Sharing ratio = 5:4:3

Amount shared by each child :

Total ratio = (5 + 4 + 3 )= 12

First share :

(5 / 12) × 1800000 = 750000

Second share :

(4/12) × 1800000 = 600000

Third share:

(3/12) × 1800000 = 450000

The least amount of the three shares is :

N450000

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3 years ago

A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the

Arlecino [84]

Answer:

129.50

Step-by-step explanation:

3 0

3 years ago

PLEASE HELP

a_sh-v [17]

Answer:

x = 8 and y = - 1

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through

The line passes through (8, - 1 ) with x- coordinate 8, then

x = 8 ← equation of vertical line

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (8, - 1 ) with y- coordinate - 1, then

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7 0

2 years ago

The data to the right represent the weights (in grams) of a random sample of 50 candies. Complete parts (a) through (f). 0.92

Inessa05 [86]

Answer:

0.069

Step-by-step explanation:

The given data set is

0.92, 0.87, 0.88, 0.82, 0.82, 0.87, 0.97, 0.86, 0.89, 0.84, 0.81, 0.88, 0.77, 0.86, 0.93, 0.84, 0.72, 0.82, 0.74, 0.83, 0.93, 0.75, 0.79, 0.91, 0.84, 0.91, 0.88, 0.88, 0.83, 0.78, 0.99, 0.81, 0.78, 0.75, 0.82, 0.76, 0.82, 0.87, 0.91, 0.77, 0.72, 0.94, 0.71, 0.73, 0.81, 0.81, 0.86, 0.93, 0.93, 0.82.

Formula for mean:

$Mean=\frac{\sum x}{n}$

Sum of all terms = 41.98

Mean of the data set is

$Mean=\frac{41.98}{50}$

$Mean=0.8396$

Formula for standard deviation for population:

$\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n}}$

Formula for standard deviation for sample:

$\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n-1}}$

$\sigma=\sqrt{\frac{0.231792}{50-1}}$

$\sigma=\sqrt{0.004730449}$

$\sigma=0.06877826$

$\sigma\approx 0.069$

Therefore, the standard deviation of the data set is 0.069.

5 0

3 years ago

Rewrite by completing the square 2x^2+7x+6=0

Kitty [74]

Answer:

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6 0

3 years ago