Answer:
a = 162
Step-by-step explanation:
9 = 1/27 a +3
Subtract 3 from each side
9-3 = 1/27 a +3-3
6 = 1/27 a
Multiply each side by 27
6*27 = 1/27 a *27
162 = a
Answer:
x = 0
y = 5
z = -5.
Step-by-step explanation:
X-5y-z=-20
-2x-y-6z=25
-x-4y-z=-15
Add equation 1 and 3:
-9y - 2z = -35 .......... A
Multiply the first equation by 2:
2x - 10y - 2z = -40
Now add this to equation 2:
-11y -8z = -15.............B
Now multiply equation A by -4:
36y + 8x = 140.........C
Add equations B and C:
25y = 125
y = 5.
Substitute for y in equation A:
-9*5 - 2z = -35
2z = -45 + 35 = - 10
z = -5.
Now find x by substituting for y and z in the first equation:
x - 5(5) - (-5) = -20
x - 20 = -20
x = 0.
Answer:
21.27 meters.
Step-by-step explanation:
Please find the attachment.
Let H and h represent height of building and tree respectively.
We have been given that a person on the ground looks up at an angle of 28° and sees the top of a tree and the top of a building aligned. The tree is 20 m away from the person and the building is 60 m away from the person.
We know that tangent relates opposite side of a right triangle with its adjacent side.
Similarly, we can find height of the tree.
Therefore, the difference in heights between the building and tree is 21.27 meters.
Answer:
Step-by-step explanation:
<u><em>The complete question is</em></u>
Suppose that a new fuel-efficient European car travels an average of 28 kilometers on 1 liter of gasoline. If gasoline costs 1.50 euros per liter, how much will it cost to drive 220 kilometers ?
step 1
using proportion
Find out the number of liters of gasoline needed for 220 kilometers
so
step 2
Find the cost to drive 220 kilometers
Multiply the cost of one liter of gasoline by the total liters of gasoline needed to travel 220 Km
so