Answer:
<70.71, -70.71>
Step-by-step explanation:
The vector has a module of 100 and a angle of -45° (negative because it is below the horizontal). So, to find its components, we need to use the sine and cosine relation of its angle:
horizontal component = module * cos(angle)
horizontal component = 100 * cos(-45)
horizontal component = 70.71
vertical component = module * sin(angle)
vertical component = 100 * sin(-45)
vertical component = -70.71
So the vector in the component form is <70.71, -70.71>
The negative sign of the vertical component means its direction is downwards.
Answer:
Step-by-step explanation:
<u>The median is the average of the bases:</u>
- 15 = 1/2(x + 1 + 3x + 5)
- 30 = 4x + 6
- 4x = 30 - 6
- 4x = 24
- x = 6
Answer:
3 feet by 7 feet
Step-by-step explanation:
perimeter = 20 feet
area = 21 feet²
If the desk is a rectangle:
perimeter = 2l + 2w = 2 (l+w) = 20
2 (l+w) = 20 , divide both sides by 2
l+w = 10
area = l · w = 21
What numbers we know that have sum as 10 and their product as 21?
l + w = 10
l · w = 21
factors of 21 are 1,3,7
3+7 = 10
3 ·7 = 21
The dimensions of the desk could be 3 feet by 7 feet.
Well 500 reduced by 4 times my age is 232...
The first step to discover the age (I'll assume that's your question) is subtract 232 from 500 500-232 equals 268. Divide this by 4 to get 67. Boy, that's a pretty old age. Hope this helps!