Tree is 64.90 ft tall !
<u>Step-by-step explanation:</u>
We have , Alex wants to measure the height of a tree. Alex walks exactly 100 feet from the base of the tree and looks up. The angle from the ground to the top of the tree is 33. We need to find How tall is the tree . Let's find out:
According to questions we have following dimensions for a right angle triangle:
, where x is angle from the ground to the top of the tree
In right angle triangle ,
⇒
⇒
⇒
⇒
Therefore , Tree is 64.90 ft tall !
Answer:
x = 117°, 297°
Step-by-step explanation:
Subtract 1 from both sides of the equation and you have ...
tan(x) = -2
Then the arctangent function tells you ...
x = arctan(-2) ≈ 116.5651°, 296.5651°
x ≈ 117° or 297°
Answer:4454544154
Step-by-step explanation:456478964 5 6145684 66
Answer:
7x + 3y = 44
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c (m is the slope and c the y- intercept )
Rearrange - 3x + 7y = 5 into this form by adding 3x to both sides
7y = 3x + 5 ( divide all terms by 7 )
y = x + ← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - = - = - , thus
y = - x + c ← is the partial equation
To find c substitute (5, 3) into the partial equation
3 = - + c ⇒ c = 3 + =
y = - x + ← in slope- intercept form
Multiply through by 3
3y = - 7x + 44 ( add 7x to both sides )
7x + 3y = 44 ← in standard form
The answer is 5 books.
m - the number of books sold on Monday
t - the number of books sold on Tuesday
w - the number of books sold on Wednesday
<span>On Tuesday, she sold twice as many books as she did on Monday: t = 2m
</span><span>On Wednesday, she sold 6 fewer books than she did on Tuesday: w = t - 6
</span><span>During the three days Rachel sold 19 books: m + t + w = 19
</span>t = 2m
w = t - 6 = 2m - 6
m + t + w = 19
______
Substitute t and w in the third equation:
m + 2m + 2m - 6 = 19
5m - 6 = 19
5m = 19 + 6
5m = 25
m = 25 : 5
m = 5