A blueprint for a house states that a 6 inch line represents 11 feet on the actual home. If the house is to be a
1 answer:
The house will be 10.9 inches high on the blueprint.
Step-by-step explanation:
Given,
Scale on blue print;
6 inch = 11 feet
We will find unit rate in terms of foot.
1 foot =
Therefore;
20 feet =
20 feet = 10.9 inches
The house will be 10.9 inches high on the blueprint.
Keywords: unit rate, division
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z= r(cosθ+i sinθ) is the required polar form where, r = √41 and θ =π-
Step-by-step explanation:
Given,
-4+5i is a complex number.
To find the polar form.
Formula
z=x+iy
r² = mod of (x²+y²)
θ =
So, the polar form will be z=r(cosθ+i sinθ)
Now,
r² =(-4)²+5² = 41
or, r = √41
θ =π- [ since the point is in second quadrant]
Hence,
z= r(cosθ+i sinθ) is the required polar form where, r = √41 and θ =π-
Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2/3 of the way there. How many more hours does Liza have to drive?
<em><u>Answer:</u></em>
Liza need to drive 2 more hours to reach her sister house
<em><u>Solution:</u></em>
Given that Liza is driving to her sister's house 360 miles away
So total distance = 360 miles
After 4 hours, Liza is 2/3 of the way there.
So Liza has covered 240 miles in 4 hours
Let us find the speed
<em><u>The relation between distance and speed is given as:</u></em>
Thus speed = 60 miles per hour
Assuming speed is same throughout the journey, let us calculate the time taken to complete remaining distance
Remaining distance = 360 - 240 = 120 miles
Now distance = 120 miles and speed = 60 miles per hour
Thus Liza need to drive 2 more hours to reach her sister house