The Answer that i got is 3.
The formula for a slope is
. Inserting those values into the equation, we get (12 - 9) / (8 - (-4)) = 3/12 =
1/4
The height of the lighthouse is 44 feet.
<u>Step-by-step explanation:</u>
You are given more information than you need.
Use the right triangle concept,
A yacht is anchored 90 feet offshore
from the base of a lighthouse.
- Base = 90 feet
- Height = h feet
The angle of elevation from the boat to the top of the lighthouse is 26 degrees.
<u>Using one side length and the angle only: </u>
The trigonometric formula is given as,
tan = height / base
tan[26º] = h ⁄ 90
h = 90 × tan[26º]
h = 43.9 ft
h = 44 feet
Therefore, the height of the lighthouse is 44 feet.
Answer:
1440 yd³
1200 yd³
Step-by-step explanation:
A local aquarium purchased a new turtle tank for their giant turtle exhibit for their giant turtle exhibit.
By using the dimensions 15yd by 12yd by 8yd and the shape of the tank is cubooid
We can determine volume by using the formula i.e
V = (Length) × (Width) × (Height),
then the volume of the tank will be
V = 15 × 12 × 8 =
V=1440 yd³.
Now , by using dimensions 15 yd by 8 yd by 10 yd
The volume will be,
V = 15 × 8 × 10 = 1200yd³
Given that quadrilateral QRST is a square.
Each angle of a square is of 90 degrees.
Angle <RQT is also an angle of 90 degrees.
We also given angle RQT = 3x - 6.
So, we can setup an equation as 3x-6 =90.
Now, we need to solve the equation for x.
6 is being subtracted from left side.
We always apply reverse operation. Reverse operation of subtraction is addition.
So, adding 6 on both sides of the equation, we get
3x-6+6 =90+6.
3x = 96.
3 is being multipied with x, in order to remove that 3, we need to apply reverse operation of multiplication.
So, dividing both sides by 3.
x=32 (final answer).
