100 points gor correct answer Identify the base of a triangle in which h=(3x+15) ft and A=(15x+75) ft^2.
2 answers:
Answer:
b = 10
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = bh ( b is the base and h the height )
Here h = 3x + 15 and A = 15x + 75, thus
× b × (3x + 15) = 15x + 75
Multiply both sides by 2 to clear the fraction
b(3x + 15) = 30x + 150
Divide both sides by (3x + 15)
b = ← factor numerator and denominator
= ← cancel the factor (x + 5) on numerator/denominator
=
= 10
You might be interested in
Answer:
38.25 kg
Step-by-step explanation:
Let the number of apples sold = x
Now, on the first hour he sold 15% of the apples i.e. he sold 0.15x kg of apples.
So, the remaining apples = x - 0.15x = 0.85x
Further, on the second hour he sold 20% of the remaining apples i.e. he sold 0.20 × 0.85x = 0.17x kg of apples.
Thus, the remaining apples = 0.85x - 0.17x = 0.68x
Then, on the third hour he sold 25% of the remaining apples i.e. he sold 0.25 × 0.68x = 0.17x kg of apples.
So, the remaining apples = 0.68x - 0.17x = 0.51x
Moreover, on the fourth hour he will sell 30% ( i.e. 5% more of 25% ) of the remaining apples i.e. he sold 0.30 × 0.51x = 0.153x kg of apples.
As, during the second hour, he sold 25.5 kg of apples.
Then, 0.17x = 25.5 i.e. i.e. x = 250
Hence, during the fourth hour, he will sell 0.153x = 0.153 × 250 = 38.25 kg of apples.
Answer:
A =
Step-by-step explanation:
From the number line attached in the figure,
Number of small parts from number 0 to 1 on the given number line = 6
A is the point which lies at 5th part from 0.
Each small part represents the fraction =
Therefore, A represents the fraction =
=
So A = will be the answer.