Answer:
142.1π in³
Step-by-step explanation:
Given that:
The radius (r) = 7 in
The slant height (y) = 25 in
Then the height (x) can be determined by using the Pythagoras rule:
y² = x² + r²
25² = x² + 7²
125 = x² + 49
125 - 49 = x²
x² = 76
x = √76
x = 8.7
The formula for the volume of a cone is;
= 1/3 πr²h
where;
height(h) is calculated as "x" from above = 8.7
Then;
= 1/3 × π × (7 in)² × 8.7 in
= 142.1π in³
Answer:
Factors of 35 = 1, 5, 7 and 35
Factors of 8= 1, 2, 4, 8.
common = 1
The number of pennies in bank is 42
<em><u>Solution:</u></em>
Given that ratio of pennies to quarters in a piggy bank is 14 : 3
Let 14x be the number of pennies in piggy bank
Let 3x be the number of quarters in piggy bank
<em><u>To find: number of pennies</u></em>
Given that there are 51 quarters
number of pennies in piggy bank + number of quarters in piggy bank = 51
14x + 3x = 51
17x = 51
x = 3
number of pennies = 14x = 14(3) = 42
Thus the number of pennies in bank is 42
Answer:
442554 square miles
Step-by-step explanation:
The area of a triangle is given by :
0.5*A*B*Sin(∅) where A and B are two sides and ∅ is the angle between them.
We will find ∅ by applying cosine rule:
c^2 = a^2 + b^2 − 2ab cos(∅)
Where ∅ is angle between sides a and b.
In this example:
a=1028, b=1046, c= 965
Plugging in the values, we get ∅=55.4°
Applying the formula for Area:
0.5*A*B*Sin(∅)
0.5*1028*1046*Sin(55.4)= 442554 square miles
