Answer:
x = sqrt(55)
x = 7.416198487
Step-by-step explanation:
We can use the Pythagorean theorem
The base is 3 (1/2 of 6). The other leg is x and the hypotenuse is 8
a^2 + b^2 = c^2
3^2 + x^2 = 8^2
9 + x^2 = 64
Subtract 9 from each side
9-9 +x^2 = 64-9
x^2 = 56
Take the square root of each side
sqrt(x^2) = sqrt(55)
x = sqrt(55)
x = 7.416198487
Answer:
He earn $40
Step-by-step explanation:
To solve this problem, we first have to calculate how much it spends to make each pie
cups of fruit = 5
5 * $0.75 = $3.75
This means that per pie he spends $ 3.75 on cups of fruit and $ 2.50 on pie crust
If we add them together we will get how much he spends for each pie
$3.75 + $2.50 = $6.25
Now to the price that the pie sells we subtract this value to know how much you earn for each pie
$10.25 - $6.25 = $4
if he sold 10 pies we multiply this number by 10 and we will get his total profit
$4 * 10 = $40
He earn $40
Answer:
categorical ordinal
Step-by-step explanation:
The variable is categorical because not important, somewhat important and very important are three different categories and these categories are assigned numerical value 1,2 and 3 still numerical value assigning cannot lead to quantitative variable because 1 still means category not important. The scale of measurement in the variable is ordinal because it has meaningful order from category 1 not important to category 3 very important.
Answer:
See below in bold.
Step-by-step explanation:
(1) cosec ( x + 10) = 3
Now cosec x = 1/sin x so
1 / sin (x + 10) = 3
3 sin (x + 10) = 1
sin (x + 10) = 1/3
x + 10 = 19.47 , 160.53 degrees
x = 9.47, 150.53 degrees.
(ii) cot (x - 30) =0.45
cot (x - 30)= 1 /tan (x- 30) so we have
tan (x - 30) = 1 / 0.45 = 2.2222
x - 30 = 65.77 degrees
x = 95.77 degrees.
N=-6
-6 minus 6 is -12
-12 /3 is -4 since the negative doesn’t cancel out
