Dear Sadaadams73, to solve this problem, we use the formula I=Prt. The equation will look like 400=8000 x 0.02 x <em>t. </em>Multiply 8000 by 0.2 to get 1600t=400. Then divide both sides by 400 to get 4 years.
Answer:
a -5/2 <=x
Step-by-step explanation:
5(x-2) <= 9x
Distribute the 5
5x -5*2 <= 9x
5x-10 <= 9x
Subtract 5x from each side
5x-5x-10 <= 9x-5x
-10 <= 4x
Divide by 4 on each side
-10/4 <=4x/4
-5/2 <=x
Answer: the base is 28 inches. The altitude is 9 inches
Step-by-step explanation:
Let h represent the altitude of the sign.
Let b represent the length if the base of the sign.
The warning sign is triangular in shape.
The formula for determining the area of a triangle is expressed as
Area = 1/2bh
The base of the sign is 9 inches longer than the altitude. This means that
b = h + 9
If the area of the sign is 266 square inches, it means that
266 = 1/2 × h(h + 9)
266 × 2 = h(h + 9)
532 = h² + 9h
h² + 9h - 532 = 0
h² + 28h - 19h - 532 = 0
h(h + 28) - 19(h + 28) = 0
h(h + 28) - 19(h + 28) = 0
(h + 28)(h - 19) = 0
h = 19 or h = - 28
Since the height cannot be negative, then h = 19
b = h + 9 = 10 + 9
b = 28
Answer:
right
Step-by-step explanation:
use pathagorus theorem and we will get right angled triangle
Answer:
He is incorrect.
Step-by-step explanation:
The range values cannot be greater than the domain values because of the known mathematical fact that all inputs (domain) can only have one output (range). This mathematical fact proves that the range can only be equal to the amount of inputs, not greater. To show why let's look at an example.
Ex:
Inputs: Outputs:
1 2
3 2
6 2
Using that example we can already conclude that the domain values can be greater than the range values because each of the different inputs can have the same outputs as shown in the table above. But the thing with range is you can't have more than one output for the inputs. For example 1 (input) = 2 output and this will always equal 2 no matter what. You cannot have the inputs of 1 and have different outputs 2 and 4. Since you cannot have more than one output for an input it makes the amount of range values impossible to be greater than the domain values.
Hope that helped.
