Answer:
Side e = 5.7
Step-by-step explanation:
Given
d = 10
f = 7
<E = 34°
Required
Calculate length of side e
This can be calculated using law of cosine as follows;
e² = d² + f² - 2 * d * f * Cos(<E)
Substitute 10 for d, 7 for f and 34 for <E. This gives
e² = 10² + 7² - 2 * 10 * 7 * cos34
e² = 100 + 49 - 140 * cos34
e² = 100 + 49 - 140 * 0.8290
e² = 100 + 49 - 116.06
e² = 32.94
Take Square Root of both sides
e = √32.94
e = 5.7 (Approximated)
Answer:Candace is a royal title from the Bible, ultimately deriving from the term kandake, a title for a queen or queen mother in the ancient African Kingdom of Kush; also meaning pure and innocent.
Step-by-step explanation:
Answer:
There are of felt left over.
Step-by-step explanation:
The side of the felt square is 8 cm. A circle of radius 3 cm is cut from the square piece of felt.
The portion of felt leftover is the difference between the area of the square and the area of the circle.
The area of the square is:
The area of the circle is:
The remaining area of the piece of felt is:
There are of felt left over.
The sum of <em>299 </em>and <em>388 </em>is going to be <em>687</em>. =)
So firstly, I'm going to be converting the mixed number into an improper fraction. To do this, multiply the whole number by the denominator and then add that product with the numerator and that will be your new numerator. In this case:
3 × 8 = 24, 24 + 3 = 27.
Now since they have the same denominator, you can subtract the numerators.
Now simplify the number as such:
<u>In short, your answer is -17/4, or -4 1/4.</u>