Answer:
The height of the tree is
Step-by-step explanation:
Let
y ----> the height of the tree
we know that
----> the function tangent is equal to divide the opposite side angle of 33 degrees by the adjacent side angle of 33 degrees
Solve for y
Answer:
7/12
Step-by-step explanation:
To subtract fractions, you must make all of the fractions have a common denominator. We can set both of the denominators as 12. To achieve this, you must multiply both sides of 2/3 by 4. This will change the denominator of the fraction, while keeping the fraction equal to 2/3. Doing this will give us 8/12. Now we can subtract. Since the denominators are the same, we only subtract the numerators. Since 8-1 is 7, our answer is 7/12. The denominator does not change.
Area of backyard is not being used 7792 square feet.
Solution:
Length of the backyard = 181 ft
Width of the backyard = 48 ft
Area of the backyard = length × width
= 181 × 48
Area of the backyard = 8688 square feet
Base of the triangle = 16 ft
Height of the triangle = 28 ft
Area of the triangle = 

Area of the triangle = 224 square feet
Length of the rectangle = 32 ft
Width of the rectangle = 21 ft
Area of the rectangular vegetable garden = length × width
= 32 × 21
Area of the rectangular vegetable garden = 672 square feet
Area of backyard not used
= Area of backyard – Area of the triangle + Area of the rectangle
= 8688 – 224 – 672
= 7792 square feet
Area of backyard is not being used 7792 square feet.
Answer:
Step-by-step explanation:
The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.