Answer:
Pair 1: 10 cm and 2 cm. and the sum is 12 cm.
Pair 2: 20 cm and 4 cm. and the sum is 24 cm.
Step-by-step explanation:
Area of a rectangle is given by A = LW, where L is the length and W is the width of the rectangle.
Pair 1:
For the first rectangle W = 4 cm and A = 40 sq, cm
Then
cm.
For the second rectangle W = 4 cm and A = 8 sq, cm
Then
cm.
Therefore, the sum of two unknown lengths = 10 + 2 = 12 cm. (Answer)
Pair 2:
For the first rectangle W = 4 cm and A = 80 sq, cm
Then
cm.
For the second rectangle W = 4 cm and A = 16 sq, cm
Then
cm.
Therefore, the sum of two unknown lengths = 20 + 4 = 24 cm. (Answer)
Answer:
cos(52°) = 18/x
x = 18·sec(52°)
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Cos = Adjacent/Hypotenuse
In this geometry, that means ...
cos(52°) = 18/x
You can use the relation sec(x) = 1/cos(x) to rewrite this as ...
x = 18·sec(52°)
_____
You can also use the complementary angle and the complementary trig function.
sin(90° -52°) = 18/x
Answer:
n + 4 = 6
6
Step-by-step explanation:
Given problem:
4 more than one third of a number n is 6
Unknown:
The equation = ?
Solution of the number = ?
Solution:
let the number = n
So, 4 more than one third of a number;
One third of n =
n
4 more;
n + 4
is 6;
n + 4 = 6 (equation of the expression)
Let us now solve the equation:
n + 4 = 6
n = 6 - 4
n = 2
n = 6
Answer:
2
Step-by-step explanation:
substitute n=1 and n=3 in the given equation
1 st term is (1)^2-1-2 = 1 -1 -2 = -2
3rd term is (3)^2-3-2 = 9-3-2=4
sum of 1st and 3rd term is -2 + 4 = 2
To reverse a percentage decrease you divide it by the decrease (+ 100%)
For example we will pick the number, 100, which is decreased by 15% to 85.
To make 85 back to 100 we divide it by the decrease (1-0.15):
85 / 0.85 = 100
To find out how much 85 increased to get back to 100, we do:
15 / 85 = 0.1765 = %17.65
15 is the reduction/difference, and 85 is the with reduction total.
Because percentages stay the same, this is applicable to any numbers, from this, we know that whenever something is reduced by 15% - when restored to it's original is increased by %17.65
The answer is %17.65