Solve 9x + 3y = 15 for y.
2 answers:
You might be interested in
Answer:
800%
Step-by-step explanation:
<u>Volume of a square based pyramid</u>
where:
- a = base side length
- h = height
<u>Given values</u> for Pyramid A:
- a = 14 inches
- h = 6 inches
Substitute the given values into the formula to find the volume of <u>Pyramid A</u>:
Given:
- Volume of Pyramid B = 3136 in³
To find how many times bigger Pyramid B is than Pyramid A, divide the <u>volume of Pyramid B</u> by the <u>volume of Pyramid A</u>:
Therefore, the volume of Pyramid B is 8 times bigger than the volume of Pyramid A.
8 as a percentage is 800%, since 800/100 = 8.
Therefore, the volume of Pyramid B is 800% the volume of Pyramid A.
To verify this, find 800% of the volume of Pyramid A:
⇒ 800% of 392
= 800/100 × 392
= 8 × 392
= 3136
You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²)
b = 9.16
With these values, we can find the hypotenuse in the triangle "B":
x = √b²+c²
x = √(9.16)²+(4)²
x = 10
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²)
b = 9.16
With these values, we can find the hypotenuse in the triangle "B":
x = √b²+c²
x = √(9.16)²+(4)²
x = 10