Pinpoint the ten's place.
look at the one's place. It is a digit ≥5, round up. If it is digit <5, round down.
all the digits to the right of the ten's place becomes 0.
for example, if you are given $216.23, the ten's place is a 1. Look at the number to the right of it, the one's place is a 6, bigger than 5, so you round up, the 1 becomes a 2. the result is $220.00
if you are given $214.23, the 1 stays a 1 because 4 is smaller than 5, the result is $210.00
51/3+-39/18
= 89/6
Answer is 14.833333
Answer:
x = 9, Angles are 54°
Step-by-step explanation:
First, we need to find x:
7x-9 = 5x+9
+9 +9
7x = 5x+18
-5x -5x
2x = 18
x = 9
Now, we plug our x value in to find our angles.
5(9) + 9 = 54
Angle B = 54°
7(9) - 9 = 54°
Angle E = 54°
(angles are the same due to AAA property)
Actually, when you know 2 sides and an included angle, you use the Law of Cosines. (and we don't know if theta is an included angle).
Solving for side c
c^2 = a^2 + b^2 -2ab * cos(C)
c^2 = 36 + 16 - 2*6*4 * cos(60)
c^2 = 52 -48*.5
c^2 = 28
c = 5.2915
Using the Law of Sines
side c / sin(C) = side b / sin (B)
5.2915 / sin(60) = 4 / sin (B)
sin(B) = sin(60) * 4 / 5.2915
sin(B) = 0.86603 * 4 / 5.2915
<span><span>sin(B) = 3.46412
</span>
/ 5.2915
</span>
<span><span><span>sin(B) = 0.6546571451
</span>
</span>
</span>
Angle B = 40.894 Degrees
sin (A) / side a = sin (B) / side b
sin (A) = 6 * sin (40.894) / 4
sin (A) = 6 * 0.65466 / 4
sin (A) = .98199
angle A = 79.109 Degrees
angle C = 60 Degrees
Answer:
- The value of PR is 21 ft.
Step-by-step explanation:
<u>We know that:</u>
- 3(PQ + QT + TP) = PR + RS + SP
- PQ = 7 ft.
- QT = 4 ft
- RS = 12 ft.
<u>Work:</u>
- 3(PQ + QT + TP) = PR + RS + SP
- => 3(7 + 4 + TP) = PR + 12 + SP
- => 21 + 12 + 3TP = PR + 12 + SP
- => 21 + 3TP = PR + SP
- => 21 + SP = PR + SP [3TP = SP]
- => 21 = PR
Hence, <u>the value of PR is 21 ft.</u>
Hoped this helped.