Answer: -5-13i
Work Shown:
(1-4i) - (6+9i) = 1-4i-6-9i
(1-4i) - (6+9i) = (1-6) + (-4i-9i)
(1-4i) - (6+9i ) = -5 - 13i
1. The formula for calculate the area of a cone is:
A=πr²+πrl (1)
A is the area (A=395.64 m²).
π=3.14
r is the radius (r=7).
l is the height.
2. The formula for calculate the slant height of the cone, is given by the Pythagorean theorem:
h²=l²+r²
h=√(l²+r²) (2)
h is the slant height.
3. We don't know the value of "l", so:
- We must rewrite the formula (1) and clear "l":
A=πr²+πrl
A-πr²=πrl
l=A-πr²/πr
- Now, we must susbtitute l=A-πr²/πr, into the formula (2). Then, we have:
h=√(l²+r²)
h=√[(A-πr²/πr)²+r²]
A=395.64 m²
π=3.14
r=7
4. When we substitute the values above into the formula h=√[(A-πr²/πr)²+r²], we obtain the slant height:
h=√[(A-πr²/πr)²+r²]
h=√170
h=13
<span>
What is the slant height?
The answer is: D.13</span>
Answer: 518
Step-by-step explanation:
Answer:
A. Metacom
Step-by-step explanation: Metacom, also known as King Philip, leader of the Wampanoag near Plymouth colony, led many other Native Americans into a widespread revolt against the colonists of southern New England in 1675.
Im so confused by this question but my only guess would be that since a coin is a 1/2 chance getting it heads twice is 1/2 * 1/2 which is 1/4 so the person who best they can get 2 heads in a row pays 1/4 of the bet being 5 dollars because 1/4 of 20 is 5 and the person who bets that they can't get two heads pays 15 dollars because that is 3/4 of the bet
tldr: 1/4 chance to get heads pays 1/4 of bet 5$
3/4 chance not to get heads pays 3/4 of bet 15$