Answer:
a) FALSE
Step-by-step explanation:
a) FALSE (it was translated from quadrant III to quadrant I)
b) TRUE
c) TRUE
d) TRUE
e) FALSE
Step-by-step explanation:
4.
⇒ 
⇒ 
⇒ 
⇒ 
5.
⇒ 
⇒ 
As we know the radius and slant height, we can use Pythagoras' Theorem to find the perpendicular height.
⇒ 
⇒ 
⇒ 
⇒ 
Now substitute this into the volume formula.
⇒ 
⇒ 
⇒ 
6.
⇒ 
⇒ 
⇒ 
7.
⇒ 
⇒ 
⇒ 
Answer: 40,320
Step-by-step explanation: Let's say that there is person A,B,C,D,E,F,G,H. and 8 chairs. For the first chair, 8 different people could potentially sit in it, making 8 different possibilities. No matter who sits there, the logic follows the next table. However, since one person is sitting in the first chair, there are 7 different possibilities about who would be sitting in the second chair. If you multiply the two together, there are 56 different possibilities just for the first and second chair. For the third chair, there are 6 different possibilities about whom could sit. Multiply 56*6 and you get 336 possibilities. Keep multiplying out and you get a grand total of 40,320 different arrangements!
The length of the rectangular base is 9in
<h3>How to determine the value</h3>
It is important to note that the formula for determining the volume of a pyramid with rectangular base is expressed as;
Volume = lwh/3
Where;
- l is the length of the rectangular base of the pyramid
- w is the width of the rectangular base of the pyramid
- h is the height of the rectangular base of the pyramid
Given the value of the volume, width an height of the pyramid as 168, 7 and 8, we substitute the values, we have;
168 = l × 7 × 8/ 3
cross multiply
l × 7 × 8 = 168(3)
Find the product
56l = 504
To determine the length, divide both sides by 56, we get;
l = 504/ 56
l = 9In
Hence, the value is 9in
Learn more about volume here:
brainly.com/question/463363
#SPJ1
Answer: the account earns interest of $40.16
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 875.83
r = 9% = 9/100 = 0.09
n = 12 because it was compounded 12 times in a year.
t = 6 months = 6/12 = 0.5 year
Therefore,.
A = 875.83(1+0.09/12)^0.5 × 12
A = 875.83(1+0.0075)^6
A = 875.83(1.0075)^6
A = 915.99
The interest that she earns is
915.99 - 875.83 = $40.16
