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quester [9]
4 years ago
10

At a certain time of day, the angle of elevation of the sun is 40°. To the nearest foot,find the height of a tree whose shadow i

s 35 feet long.
Mathematics
1 answer:
konstantin123 [22]4 years ago
4 0
We need to find a tree such that the angle of elevation from the end of the shadow to top of the tree is 40 degrees.

The length of the shadow is the adjacent side and  is 35.
The height of the tree is the opposite side.  Let it be x.

Tan ratio = opposite/adjacent

tan(40) =  x/35
x = 35*tan(40) = 29.37

Answer: Height of the tree is 29 feet
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What is the series in sigma notation? -5 + (-1) + 3 + 7 + 11?
EleoNora [17]
For the series:
- 5 + ( - 1 ) + 3 + 7 + 11
common difference between the numbers is 4 and a 1 = -5
The series in sigma notation:
  4
  ∑   ( 4 i - 5 )
i =0
7 0
3 years ago
Find the value of x.<br> X =
Paladinen [302]

Answer:

X = 20

Step-by-step explanation:

when you have an angle that looks like an X shape the angles opposite each other are always equal. knowing this we now know that angle 5x must equal 100

so just make X the subject of the formula and solve, like shown bellow

5x = 100

x = 100 \div 5

x = 20

6 0
3 years ago
Please answer NO LINKS PLEASE
Setler79 [48]

Answer:

123.38

36+54+11.69+11.69

Make sure to round

5 0
3 years ago
Find the x and y intercepts. Write your answer as x =<br> y =<br> 2x + 5y = 10
Ann [662]
The x-intercept is present where y = 0

2x + 5y - 10 = 0
2x - 10 = -5y
2x - 10 = -5(0)
2x = 10
x = 5

The y-intercept is present where x = 0

2x + 5y = 10
2x + 5y - 10 = 0
5y - 10 = -2(0)
5y = 10
y = 2
6 0
3 years ago
The function f is defined as follows for the domain given.
SCORPION-xisa [38]

Answer:

The range of the function in ascending order is:

Range R = {-2, 0, 2, 4}

Step-by-step explanation:

Given the function

f(x) = 2-2x

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

  • Domain refers to all the possible sets of input values on the x-axis

As the domain of the function is given such as

Domain D = {-1, 0, 1, 2}

<u>Determining the range </u>

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

Range refers to all the possible sets of output values on the y-axis.

As the domain is

Domain D = {-1, 0, 1, 2}

FOR x = 1

substitute x = -1 in the function

f(x) = 2-2x

f(-1) = 2-2(-1) = 2+2=4

so

at x = -1, y = 4

FOR x = 0

substitute x = 0 in the function

f(x) = 2-2x

f(-1) = 2-2(0) = 2-0=2

so

at x = 0, y = 2

FOR x = 1

substitute x = 1 in the function

f(x) = 2-2x

f(-1) = 2-2(1) = 2-2=0

so

at x = 1, y = 0

FOR x = 2

substitute x = 2 in the function

f(x) = 2-2x

f(-1) = 2-2(2) = 2-4=-2

so

at x = 2, y = -2

Thus combining all the output or y values correspond to the given input values, we get the range of the function.

Thus, the range of the function in ascending order is:

Range R = {-2, 0, 2, 4}

4 0
3 years ago
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