Answer:
Step-by-step explanation:
<u>Lets calculate the points:</u>
- Art - 2 hrs - B (3) ⇒ 2*3 = 6 points
- History - 3 hrs - A (4) ⇒ 3*4 = 12 points
- Science - 4 hrs - C (2) ⇒ 4*2 = 8 points
- Math - 3 hrs - B (3) ⇒ 3*3 = 9 points
- Lab - 1 hr - A (4) ⇒ 1*4 = 4 points
<u>Totals</u>
- Total hours = 13
- Total points = 39
<u>GPA = total points/ total hours</u>
Correct option is C
Well it's a dare so I guess I'll do it.
Answer:
388.5yd²
Step-by-step explanation:
We have Triangle TUV
In the question, we are given already
Angle U = 32°
Angle T = 38°
Angle V = ???
Side t = 31yd
Side u = ?
Side v = ?
Area of the triangle= ?
Step 1
We find the third angle = Angle V
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (32 + 38)°
= 180° - 70°
Angle V = 110°
Step 2
Find the sides u and v
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle TUV
t/ sin T = u/ sin U = v/ sin V
We have the following values
Angle T = 38°
Angle U = 32°
Angle V = 110°
We are given side t = 31y
Finding side u
u/ sin U= t/ sin T
u/sin 32 = 31/sin 38
Cross Multiply
sin 32 × 31 = u × sin 38
u = sin 32 × 31/sin 38
u = 26.68268yd
u = 26.68yd
Finding side x
v / sin V= t/ sin T
v/ sin 110 = 31/sin 38
Cross Multiply
sin 110 × 31 = v × sin 38
v = sin 110 × 31/sin 38
v = 47.31573yd
v = 47.32yd
To find the area of triangle TUV
We use heron formula
= √s(s - t) (s - u) (s - v)
Where S = t + u + v/ 2
s = (31 + 26.68 + 47.32)/2
s = 52.5
Area of the triangle = √52.5× (52.5 - 31) × (52.5 - 26.68 ) × (52.5 - 47.32)
Area of the triangle = √150967.6032
Area of the triangle = 388.5454973359yd²
Approximately to the nearest tenth =388.5yd²
Answer:
length is 15.5 and the width is 12.5
Step-by-step explanation:
Length rectangle = 3cm. longer than its width.
Rectangle perimeter = 56 cm.
find its dimensions?
P = 2L +2w
L= w + 3
P= 56
P = 2L +2w
56 = 2(w+3) +2(w)
56 = 2w +6 + 2w
4w= 56 - 6
4w = 50
w = 50/4
w = 12.5
L= 12.5 +3 = 15.5
L= 15.5
Solution:
Length= 15.5 cm
Width = 12.5 cm
i know it looks complex but i hope this helps :)
The answer is C: (-1, -8)