Answer:
<u><em>257.25</em></u>
Step-by-step explanation:
$12.25 * 28
= 343
343 / 4
= 85.75 (the amount he pays in his savings account)
So 3/4 of the total amount he have left
85.75 * 3
=<u><em>257.25</em></u>
9x10 to the -8th power.
Since the numbers are both x10^-8, you can simply add 2 and 7. If you would rather look at it as:
0.00000007 + 0.00000002 = 0.00000009 = 10x10^-8
then you will get the same answer.
A 2-liter bottle of Coke for $1.39 is the best deal. No need to divide.
Answer:
The values of k are all real numbers greater than 3
Step-by-step explanation:
we have
Solve for k
Divide 12 by 3
Divide by 4 both sides
The solution is the interval ------> (3,∞)
All real numbers greater than 3
3) In Δ BDC
|DC|/|BC| = cos C
cos C= 16/17.89
C= cos⁻¹( 16/17.89)=26.57⁰
In triangle ABC:
x=180-(90+26.57)=63.43
x=63.43
2)
AB/BD= tan(70⁰), AB=BD*tan(70⁰)
AB/BC=tan(40⁰), AB=BC*tan(40⁰)
BD*tan(70⁰)=BC*tan(40⁰)
BD=BC-CD=BC - 15
(BC -15)*tan(70⁰)=BC*tan(40⁰)
BC*tan(70⁰) -15*tan(70⁰)= BC*tan(40⁰)
BC*tan(70⁰) - BC*tan(40⁰) = 15*tan(70⁰)
BC(tan(70⁰)-tan(40⁰))= 15*tan(70⁰)
BC = 15*tan(70⁰)/(tan(70⁰)-tan(40⁰)) = 21.60
BC=21.60
1) In a quadrilateral sum of angles =360⁰.
PQS=SQR=50⁰, because SQ bisects PQR.
Using Law of sine in ΔSRQ
SR/sin ∠SQR = SQ/sinR, SQ = SR * sinR/sin SQR = 3*sin30/sin50 =3.26
SQ=3.26 cm
ΔPQS:
cos PQS= PQ/SQ
PQ=SQ*cosPQS =3.26*cos 50⁰=2.09=2.1
PQ=2.1 cm
