Answer:
n=31.5
Step-by-step explanation:
The given question is:
Cross multiply to get:
Expand the parenthesis:
Group similar terms:
Combine the like terms
Divide both sides by 4
n=31.5
Answer: the area of the shaded region is 72.96 ft²
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Diameter of circle = 16 feet
Radius = diameter/2 = 16/2 = 8 feet
Area of circle = 3.14 × 8² = 200.96ft²
The sides of the square are equal. To determine the length of each side of the square, L, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
16² = L² + L²
256 = 2L²
L² = 256/2 = 128
L = √128 ft
Area of the square is
L² = (√128)²
Area = 128 ft²
Area of shaded region is
200.96 - 128 = 72.96 ft²
Answer:
Step-by-step explanation:instead, try making the subscripts and superscripts stand out:
n-1
a = a * r
n n-1
Believe me, it's worth the extra work to do this!!
Given the sequence -3, -6, -12, -24, you can easily see that the first term,
a is -3. The common factor is 2. Note how (-3)*2=-6, and so on.
1
So, a = -3 and r=2.
1
So the formula for this geometric sequence is
n-1
a = -3*2
n
The number of cups of fruit salad that will be in each container is; 3³/₄ cups of fruit salad
<h3>How to divide fractions?</h3>
We are given the table showing the amount of cups of each ingredient as attached.
From the table we see that;
Amount of cups of Pineapple = 2³/₄
Amount of cups of Strawberries = 2¹/₂
Amount of cups of Bananas = 1¹/₂
Amount of cups of Blueberries = 2¹/₄
Now, converting each of the given fractions to improper fractions gives;
11/4, 5/2, 3/2, 9/2
Summing up all the fractions will give us;
11/4 + 5/2 + 3/2 + 9/2
(1/4)(11 + 10 + 6 + 18) = 45/4
Now, since this total amount will be divided by 3, we will have;
45/4 ÷ 3
= 45/4 * 1/3
= 15/4 = 3³/₄ cups of fruit salad
Read more about Dividing Fractions at; brainly.com/question/1622425
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