Answer:
The sum of the squares of the two sides equals the square of the hypotenuse (a² + b² = c²).
Let's say you have a triangle with a 90º angle (also known as a right angle). The two equal legs are a and b while the hypotenuse is the longer side. Hypotenuse is and always will be c.
Here's a problem:
c ⊿ a (12)
b (6)
C is missing, we have to find C, so here's what we do:
Step 1: You square all the numbers in the equation
12² + 6² = c²
↓
144 + 36 = c
Step 2: You add 144 + 36 and you get 180
Step 3: Then you find the square root >> and you get ≈13.4
Now sometimes, the a or b would be missing, for example:
c (13)⊿ a
b (5)
A is missing (when a or b is missing, use the following formula, do not use the same formula when c is missing)
Step 1: You square all the numbers in the equation
a² + 5² = 13²
a + 25 = 169
For this next part, you must subtract a or b (in this case, b) on both sides, for example:
25 – 25 = 169 - 25
25 – 25 cancels itself out so now we subtract 169 by 25 and we get 144.
Then we find the square root of 144 and we get 12
I hope this helps :)
Answer:
The answer to your question is: 4
Step-by-step explanation:
Data
1 − log₈(x − 3) = log₈(2x)
1 = log₈(x − 3) + log₈(2x)
1 = log₈ 2x(x - 3)
8¹ = 2x(x - 3)
8 = 2x² - 6x
2x² - 6x - 8 = 0
Factorize 2x² - 8x + 2x - 8 = 0
2x(x - 4) + 2(x - 4) = 0
(x - 4) (2x + 2)
x1 = 4 x2 = -2/2 = -1
x2 = -1 is not and answer because there are not negative logs.
Answer:
yes it can be improved by learning so dont ask any tholing
Answer:
f(x) = x + 13
Step-by-step explanation:
Given f(x) then f(x) + c represents a vertical translation
• If c > 0 then vertical shift up ↑ of c units
• If c < 0 then vertical shift down ↓ of c units
here c = + 13, hence
f(x) = x + 13
Answer:
5.75 ft ≈ 6 ft
2.47 ft ≈ 2 ft
perimeter of the rectangular counter top = 16 ft
Step-by-step explanation:
The counter top he is installing is a rectangular piece of quartz that is 5.75 ft long and 2.47 ft wide. The length and the width can be rounded off to the nearest whole number as follows.
length = 5.75 ft to the nearest whole number will be 6 ft
width = 2.47 ft to the nearest whole number will be 2 ft
The logic in rounding off the number to the nearest whole number is that the value on the left hand side of the decimal is rounded off to an integer. If the number at the right hand side of the number is greater or equal to 5 we borrow 1 and add to the left hand side number of the decimal number.
Therefore,
Perimeter of the rectangle = 2l + 2w
perimeter of the rectangle = 2 × 6 + 2 × 2
perimeter of the rectangle = 12 + 4
perimeter of the rectangle = 16 ft