Answer:
7 units
Step-by-step explanation:
Please refer to the image attached with this answer.
Our initial line was CD joining points (-1,2) and (6,2).
It is now pulled down by 4 units , to new points
(-1,-2) and (6,-2)
Now we again shift this line by 2 units to the left. The new coordinates thus would be C'(-3,-2) and D'(4,-2)
Hence the distance C'D' = 4-(-3) = 4+3 = 7 UNITS
Hence the length of the line will be 7 units.
It is observed that the length of the line segment remains the same as it was of the original line. as the translation is uniform.
Since the length is 15, and the width would be 15, you need to first do 15 x 15.
15 x 15 = 225
Multiply the 6 faces.
225x6
Your final answer would be 1,350.
Cost of the lawnmower bought by Sarah = $320
Amount of down payment made by Sarah = $100
Amount paid by Sarah in 12 months = (12 * 25) dollars
= 300 dollars
Total amount paid by Sarah = (300 + 100) dollars
= 400 dollars
Excess amount paid as interest by Sarah = (400 - 320) dollars
= 80 dollars
Actual yearly rate of interest paid by Sarah = (80/320) * 100 percent
= 25 percent
So 25% yearly interest was paid by Sarah. The correct option is option "C".
Answer:
147.5 km and 64.4 km
Step-by-step explanation:
a=120 km
b=70 km
β=28 degrees (
∘)
b^2=(a^2)+(c^2)−2ac*cosβ
70^2
=(120^2
)+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )
(c^2
) −211.907c+9500=0
note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use
p=1;q=−211.907;r=9500
D=(q^2
) −4pr=(211.907^2
)−4⋅1⋅9500=6904.75561996
D>0
=
(−q± 
)/2p=(211.91±
)/2
=105.95371114±41.5474295834
(
−147.501140726)(
−64.4062815596)=0
=147.501140726
=64.4062815596
