Answer:
36.45
Step-by-step explanation:
5.50 × 3 = 16.5
16.5 + 19.95 = 36.45
sorry if wrong.
hope it helps.
This is a classic example of a 45-45-90 triangle: it's a right triangle (one angle of 90) & two other sides of the same length, which means two angles of the same length (and 45 is the only number that will work). With a 45-45-90 triangle, the lengths of the legs are easy to determine:
45-45-90
1-1-sqrt2
Where the hypotenuse corresponds to sqrt2.
Now, your hypotenuse is 10.
To figure out what each leg is, divide 10/sqrt2 (because sqrt2/sqrt2 = 1, which is a leg length in the explanation above).
Problem: you can't divide by radicals. So, we'll have to rationalize the denominator:
(10•sqrt2)/(sqrt2•sqrt2)
This can be rewritten:
10sqrt2/sqrt(2•2)
=10sqrt2/sqrt4
=10sqrt2/2
=5sqrt2
Hope this helps!!
Answer:
Her error was multiplying -3 and -4 which gives +12 but she wrote -12 instead
Step-by-step explanation:
Mariana workings:
-3(2x - 4) = -12
-6x - 12 = -12
Her error was multiplying -3 and -4 which gives +12 but she wrote -12 instead
-6x = 0
x=0
Correct workings:
-3(2x - 4) = -12
-6x + 12 = - 12
-6x = -12 - 12
-6x = -24
x = -24/-6
x = 4
Answer:
21
Step-by-step explanation:
+ 11g - 4h
f = 3, g = 2 and h = 7.
Substitute the above values into the expression.
+ 11 × 2 - 4 × 7
Since there's no addition, subtraction or division signs between 11g and 4h, this basically shows that it is multiplied. Simplify further...
is 3×3×3 which equals to 27
11 × 2 equals to 22, and
-4 × 7 = -28
Put all these found values into an expression.
27 + 22 - 28
Use the B.O.D.M.A.S. rule. First we have to add then subtract.
(27 + 22) - 28
49 - 28 = 21
