Answer: y = -4/5x - 12
1. First find slope. Since you are trying to find a line perpendicular to y = 5/4x + 10, the slope would be the negative reciprocal of 5/4x.
slope = - 4/5x
2. plug in (-5,-8) and the slope of -4/5 to the point slope form equation
(y-y2) = slope (x-x2)
= y+8=-4/5(x+5)
3. solve and simply y+8=-4/5(x+5)
y = -4/5x - 12 is your answer
Step-by-step explanation:
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:
She bought 5 pounds.
Step-by-step explanation:
if she spent 10 dollars and its 2 dollars per pound that means that you have to divide 10 by 2 in order to get how many pounds you can buy for 10 dollars.
If you think about it if you want 2 pounds then you multiply 2 by 2 to get four because its 2 dollars per pound and you need 2 pounds. so since you don't know the number of pounds you fill in the blanks and do 10/2 to get 5.
Given:
pi is equal to 3.14
3.14 ÷ 2/3
Rules in dividing fractions.
3.14 is the 1st fraction. It has a denominator of 1. 3.14/1
2/3 is the 2nd fraction
1) get the reciprocal of the 2nd fraction.
2/3 ⇒ 3/2
2) multiply the 1st fraction to the reciprocal of the 2nd fraction
3.14 * 3/2 = (3.14*3) / 2 = 9.42 / 2 = 4.71
Pi divided by 2/3 is 4.71
