Answer:
y = 8
x = 8√5
z = 4√5
Step-by-step explanation:
Using the formula (which is a geometric mean):
a y
---- = -----
x a
Where a is the altitude (y), x is a projection (16), and y is the other projection (4):
y 4
---- = -----
16 y
Cross multiply:
y² = 16 (4)
y² = 64
√y² = √64
y = 8
To find x and z, use the Pythagorean Theorem:
16² + y² = x²
256 + 8² = x²
256 + 64 = x²
320 = x²
√320 = √x²
√64√5 = √x²
8√5 = x
x = 8√5
4² + y² = z²
16 + 64 = z²
80 = z²
√80 = √z²
√16√5 = √z²
4√5 = z
z = 4√5
<h2>
Explanation:</h2><h2>
</h2>
We know that the volume of a prism is defined by:
Substituting values:
For this question, we have to use the Pythagorean theory since we're dealing with a right triangle.
a² + b² = c²
We're given the value of the hypotenuse and a leg, therefore we're looking for the value of the other leg.
Now let's plug in the given data into our equation.
2² + b² = 5²
4 + b² = 25
b² = 25 - 4
b² = 21
√b² = √21 = b
The correct answer is B) √21
Answer:
Step-by-step explanation:
<u>Given equation:</u>
<u>Find the difference of g when n = 1 and n = 5:</u>
- g(5) - g(1) =
- 10*(1.02)⁵ - 10*(1.02)¹ =
- 0.84 (rounded)
<u>Divide the above number by the difference of 5 and 1:</u>
- 0.84 / (5 - 1) =
- 0.84 / 4 =
- 0.21
If you only have two of the six measures of a triangle, you cannot find the others. You need at least 3 measures, including at least one side, in order to solve a triangle.
You can always use the Law of Cosines (if you have sufficient information), or the Law of Sines (if you have sufficient information).
