The answer would be A)20/77.
The reason is that without replacement it would go (10/22)*(12/21)=0.2597
You can do the easy route I did then do (20/77) which would also give you 0.2597.
Answer:
B -⅓
Step-by-step explanation:
sinx = -3/5
Adjacent² = 5² - 3² = 16
Adjacent = 4
tan(x) = -3/4
-¾ = 2tan(½x)/[1 - tan²(½x)]
-3 + 3tan²(½x) = 8tan(½x)
3tan²(½x) - 8tan(½x) - 3 = 0
tan(½x) = 3, -⅓
Given:
Intersecting lines DA and CE.
To find:
Each pair of adjacent angles and vertical angles.
Solution:
Adjacent angles are in the same straight line.
<u>Pair of adjacent angles:</u>
(1) ∠EBD and ∠DBC
(2) ∠DBC and ∠CBA
(3) ∠CBA and ∠ABE
(4) ∠ABE and ∠EBD
Vertical angles are opposite angles in the same vertex.
<u>Pair of vertical angles:</u>
(1) ∠EBD and ∠CBA
(2) ∠DBC and ∠EBA
Answer:
The balance after 1 year is;
$1,014.05
Step-by-step explanation:
To do this, we use the compound interest formula
That will be ;
A =P (1 + r/n)^nt
A is the amount generated which we want to calculate
r is the rate = 1.4% = 0.014
P is the amount deposited = $1,000
n is the number of times it is compounded annually which is 2 (semi-annually means 2 times in a year)
this the number of years which is 1
we have this as:
A = 1,000( 1 + 0.014/2)^(2*1)
A = 1,000(1 + 0.007)^2
A = 1,000(1.007)^2
A = $1,014.05
