Answer:
The angle of elevation of the sun from the ground to the top of a tree is 
.
Step-by-step explanation:
As given
The sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.
Now by using the trignometric identity .
As figure is given below .
AB = Perpendicular = 10 yards
BC = Base = 14 yards
Putting all the values in the trignometric identity .
Therefore the angle of elevation of the sun from the ground to the top of a tree is .
For the first one, the answer is -1 1/5
for the second one, the answer is 2.75
for the third one and fourth one,
To divide fractions take the reciprocal (invert the fraction) of the divisor and multiply the dividend. This is the quickest technique for dividing fractions. The top and bottom are being multiplied by the same number and, since that number is the reciprocal of the bottom part, the bottom becomes one
b is two fifths of c, so we make this a ratio with c = 1.
The ratio of b:c is 2/5 : 1
We also have 4a = 3c, rewrite this ratio so c is 1 by dividing both sides by 4,
so we get the ratio of a to c as 3/4 : 1
Now we get the a:b:c ratio of 3/4 : 2/5 : 1 now we can change the fractions to whole numbers, first by multiplying the 3 numbers by 4 to get get rid of the denominator of 4 in a:
3 : 8/5 : 4
Now multiply the 3 numbers by 5 to remove the denominator of 5 in b:
15 : 8 : 20
Now we can check using the equations:
b is 2/5 of c: 20 x 2/5 = 40/5 = 8 This is true.
4a = 3c: 4(15) = 3(20) = 60 = 60, this is also true.
The ratios is 15 : 8: 20
Answer:
Per minute value fee would be the slope of the line.
Step-by-step explanation:
Given:
Per minute charges by the phone company = $ 0.50
Connection fee (fixed) charged by company = $ 1.0
We have to represent the total cost in terms of y and also explain the slope of the line.
According to the question:
Let the number of minutes be "x" .
And the total cost charged be "y" .
So,
The total cost = (No. of minutes)(Per minute charge) + Connection fee
Re-arranging in term of x and y.
⇒ 
⇒ 
...equation (i)
Slope- intercept form: 
m is the slope and b is the y-is intercept.
⇒ Comparing equation (i) with the slope- intercept form.
⇒ 
and 
So,
The slope of the line is 0.50 which is also represented by the per minute value of the call.
Per minute value fee would be the slope of the line.
Answer: -$6,500
Step-by-step explanation:
Here we could , use the arithmetic progression where
T(2020 - 2010) = a + ( n - 1 )d
T10 = a + ( 10 - 1 )d --------------- 1
a = $25,000, n = 10 and d = 14% of $25,000 = $3,500 the common difference.
Note since it decreases the common difference d = -$3,500.
Now substitute for the values in the equation above.
T10 = 25,000 + 9 x -3,500
= $25,000 - $31,500
= -$6,500 (deficit )
