Answer:
x = 10
Step-by-step explanation:
Using the rules of logarithms
• log x + log y ⇔ log(xy)
• log
⇔ n log x
• log x = log y ⇒ x = y
Given
ln20 + ln5 = 2 lnx , then
ln(20 × 5) = ln![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
ln 100 = ln
, hence
x² = 100 ( take the square root of both sides )
x = 10
![\frac{2}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B7%7D%20)
• 56 = 16
so 16 pizzas are pepperoni
19 pizzas are cheese
And the rest is Veggie
So now add 16 and 19 which is 35
Now subtract that from 50 which is 15
So 15 pizzas were Veggie pizzas
Answer:
The distance between the cruise ship and the sail boat is 517 feet.
Step-by-step explanation:
The cruise ship is 236 feet tall, and the sailboat is 236 tall; this means the distance between the top of the cruise ship and the top of the sail boat is
236 feet - 27 feet = 209 feet.
We also know that the angel of depression from the top of the cruise ship to the bottom of the cruise ship is 22°. This forms a right triangle as shown in the figure attached.
Now from trigonometry we get:
![tan \: \theta = \dfrac{209}{d}](https://tex.z-dn.net/?f=tan%20%5C%3A%20%5Ctheta%20%3D%20%5Cdfrac%7B209%7D%7Bd%7D)
![d= \dfrac{209}{tan\:\theta }](https://tex.z-dn.net/?f=d%3D%20%5Cdfrac%7B209%7D%7Btan%5C%3A%5Ctheta%20%7D)
![\boxed{d=517ft}](https://tex.z-dn.net/?f=%5Cboxed%7Bd%3D517ft%7D)
The distance between the cruise ship and the sailboat is 517 feet.
6-3=3, so m=3. Easy as pie
Answer:
x=9
Step-by-step explanation:
a scale drawing means all the sides are multiplied by the same amount. to find this amount, you can divide the larger side by the bigger side by the smaller side.
15/5 = 3
12/4 = 3
therefore the scale factor is 3. to get the value of x, multiply the value of the third side by 3.
3*3=9
x=9