Answer:
y = -6x + 10
Step-by-step explanation:
Parallel lines share the same slope. Given y = -6x – 1, we know that the equation of this new line has the form y = -6x – C. The coordinates of the point (1, 4) determine the value of C:
(4) = -6(1) – C, or:
4 = -6 - C
Then C = -10, and the desired equation is
y = -6x – (-10), or
y = -6x + 10
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:
Be cheerful and accurate
Step-by-step explanation:
There are other etiquette that may be put in consideration.
★Answer the call within three rings.
★Immediately introduce yourself.
★Speak clearly.
★Only use speakerphone when necessary.
★Actively listen and take notes.
★Use proper language.
Remain cheerful.
★Ask before putting someone on hold or transferring a call.
★Be honest if you don't know the answer.
★Be mindful of your volume.
★Check for and respond to voicemails.
1. 15+37=?
- 15=10+5 (given on the diagram)
- 37=30+7 (given on the diagram)
- add digits to digits 5+7=12=10+2
- add tens to tens 10+30+10=50
- add tens and digits 50+2=52.
2. 22+49=?
- 22=20+2 (given on the diagram)
- 49=40+9 (given on the diagram)
- add digits to digits 2+9=11=10+1
- add tens to tens 20+40+10=70
- add tens and digits 70+1=71.
3. 38+26=?
- 38=30+8 (given on the diagram)
- 26=20+6 (given on the diagram)
- add digits to digits 8+6=14=10+4
- add tens to tens 30+20+10=60
- add tens and digits 60+4=64.
Answer: 1) 52; 2) 71; 3) 64.
