Answer:
The value of angle B is 33.69°
Step-by-step explanation:
You can find out using Tangent Rule, tanθ = oppo./adj. where opposite and adjacent are the length of triangle :
oppo. = AC = 6 units
adj. = BC = 9 units
θ = ∠B
tan ∠B = AC/BC
tan ∠B = 6/9
∠B = tan^(-1) (6/9)
= 33.69° (near. hundredth)
Answer: 14.73
Step-by-step explanation:
The given triangle is a right angle triangle.
EF^2 + DF^2 = ED^2
The hypotenuse is |ED| while the two shorter legs are |EF| and |DF|.
We can then apply the Pythagoras Theorem to find the length of EF.
(EF)^2 + (DF)^2 = (ED)^2
(EF)^2 + (12)^2 = (19)^2
(EF)^2 + 144 = 361
(EF)^2 = 361 - 144
(EF)^2 = 217
EF = 14.73
The angle = 360° * 0.67 = 241.2
And by rounding to the nearest degree = 241°
The correct choice is number 4
Cherry pie is $ C.
Pumpkin pie is $ P.
C + 9P =60 -------> C=60 - 9P
11C+4P = 90
11(60 - 9P) +4P=90
660 - 99P + 4P = 90
-95P = -570
P =570/95 = 6
P=6
C=60-9*P=60 - 9*6= 60-54=6
C=6
Answer: 1 cherry pie -$6, 1 pumpkin pie - $6.
Check:
11C+4P = 90 , 11*6 +4*6 =90, 66+24=90, 90=90 True
Ok so let me help you in here:
<span>After she pays $500 toward her medical expenses for the year, her insurance will pay 80% of the $12,500 cost. So
12,500 x .80 = 10,000. Then 12,500-10,000 = $2,500.
So you pay $2500 and the insurance company pays $10,000.
</span>Hope this is useful