The answer is 52. remember PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) you can use "please excuse my dear aunt sally" to help you remember! :)
Answer:
249.42 units²
Step-by-step explanation:
Given only the apothem of an n-sided regular polygon, the area can be computed as ...
... A = n·a²·tan(180°/n)
For n=3 and a=4√3, this is ...
... A = 3·(4√3)²·tan(60°)
... A = 3·48·√3 = 144√3 . . . . units²
... A ≈ 249.42 units²
Answer:
The length is 6 feet and the width is 4 feet
Step-by-step explanation:
Let x represent the length of the yard
The width can be represented by x - 2, since it is 2 less than the length.
Use the perimeter formula, P = 2l + 2w, where l is the length and w is width
Plug in the expressions and perimeter:
20 = 2x + 2(x - 2)
Solve for x:
20 = 2x + 2x - 4
20 = 4x - 4
24 = 4x
6 = x
So, the length is 6. Plug this into x - 2 to find the width
x - 2
6 - 2
= 4
So, the length is 6 feet and the width is 4 feet
Answer:
65 servings
Step-by-step explanation:
Larry made 5 batches of punch.
In each batch, she uses the amount of lemon juice = 24 fluid ounces
and the amount she uses of orange juice = 5 pints
Since 1 pint = 16 fluid ounces
∴ 5 pints = 16 × 5 = 80 fluid ounces
Total quantity of punch in each batch = 24 + 80
= 104 fluid ounces
Total quantity of punch in 5 batches = 104 × 5
= 520 fluid ounces
If each serving is 1 cup.
and 1 cup = 8 ounces
He made the number of servings all together = 
= 65 cups
He made 65 servings all together.
Answer:
Height of flag pole to the nearest foot is 43 feet
Step-by-step explanation:
In the diagram we have flag pole AB and C is the point on the ground.
It is given that angle of depression is 30°
and the distance of the point C from the base B is 75 feet
so we have
BC= 75 feet
∠C = 30°
AB= h feet
now in right ΔABC

now we plug AB= h , ∠C= 30° and BC =75

( multiply both sides by 75)

Height of flag pole to the nearest foot is
h= 43 feet