Answer:
110.01 (aprox)
Step-by-step explanation:
x + (1/x) = 5
x(x + (1/x)) = x(5)
x*x + x*1/x = 5x
x² + 1 = 5x
x² - 5x + 1 = 0
x = {-(-5)±√((-5²) -(4*1*1))} / (2*1)
x = {5±√(25-4)} / 2
x = {5±√21} / 2
x = {5±4.5826} / 2
x₁ = {5-4.5826} / 2 = 0.4174/2 = 0.2087
x₂ = {5+4.5826) / 2 = 9.5826/2 = 4.7913
Comprobación:
x₁
0.2087 + 1/0.2087 = 5
0.2087 + 4.7913 = 5
x₂
4.7913 + 1/4.7913 = 5
4.7913 + 0.2087 = 5
Respuesta:
x₁
(0.2087)³ + 1/(0.2087)³ = 0.0091 + 1/0.0091 = 0.0091 + 110.0101 = 110.019
x₂
(4.7913)³ + 1(4.7913)³ = 110 + 1/110 = 110 + 0.01 = 110.01
Answer: 5% commission rate
Step-by-step explanation:
50/1000 = 0.05
convert that to percent
which is 5%
Answer:
<h3>The height of the Silo is 84 ft</h3><h3>∴
</h3>
Step-by-step explanation:
Given that a 6-foot tall observer casts a 3.5-foot shadow at the same time a silo casts a 49-foot shadow.
<h3>To find the height of the Silo:</h3>
We can solve this by setting up a ratio comparing the height of the Silo to the height of the observer and shadow of the Silo to the shadow of the observer.
Let be height of the Silo
shadow of the Silo
height of the observer
shadow of the observer
Now we have
Substitute the values we get
<h3>∴
</h3><h3>∴ the height of the silo is 84 ft</h3>
The area of a triangle is 1/2(base x height) .
The two legs of this triangle are equal. If you position it properly,
one of them is the base, and the other one is the height.
Since it's a right triangle, A² + B² = C²
But A = B and C = 24 .
2A² = (24)²
A² = (24)² / 2
But since A=B, A² is also (base x height) of the triangle.
Area is just 1/2 of it.
Area = 1/2(24²/2) = (24)²/4 = (24/2)² = (12)² = <u>144</u> .
Answer:
Step-by-step explanation:
Step 1: Add -Hy to both sides.
Step 2: Divide both sides by A.