1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nataliya [291]
3 years ago
7

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:
MrRa [10]3 years ago
5 0
Answer: approximately 29 feet

Explanation: You need to find a tree so 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 an adjacent side and is 35.
The height of the tree is the opposite side.  You could use X.

Tan ratio = opposite/adjacent

tan(40) =  x/35
x = 35*tan(40) =29.37
You might be interested in
- 11 = a/6 need help with this ?
JulijaS [17]

a= -66

-11=a/6

-66=a

a=-66

hopes this helps,

Xeno


5 0
3 years ago
For the given term, find the binomial raised to the power, whose expansion it came from: 15(5)^2 (-1/2 x) ^4
Elina [12.6K]

Answer:

<em>C.</em> (5-\frac{1}{2})^6

Step-by-step explanation:

Given

15(5)^2(-\frac{1}{2})^4

Required

Determine which binomial expansion it came from

The first step is to add the powers of he expression in brackets;

Sum = 2 + 4

Sum = 6

Each term of a binomial expansion are always of the form:

(a+b)^n = ......+ ^nC_ra^{n-r}b^r+.......

Where n = the sum above

n = 6

Compare 15(5)^2(-\frac{1}{2})^4 to the above general form of binomial expansion

(a+b)^n = ......+15(5)^2(-\frac{1}{2})^4+.......

Substitute 6 for n

(a+b)^6 = ......+15(5)^2(-\frac{1}{2})^4+.......

[Next is to solve for a and b]

<em>From the above expression, the power of (5) is 2</em>

<em>Express 2 as 6 - 4</em>

(a+b)^6 = ......+15(5)^{6-4}(-\frac{1}{2})^4+.......

By direct comparison of

(a+b)^n = ......+ ^nC_ra^{n-r}b^r+.......

and

(a+b)^6 = ......+15(5)^{6-4}(-\frac{1}{2})^4+.......

We have;

^nC_ra^{n-r}b^r= 15(5)^{6-4}(-\frac{1}{2})^4

Further comparison gives

^nC_r = 15

a^{n-r} =(5)^{6-4}

b^r= (-\frac{1}{2})^4

[Solving for a]

By direct comparison of a^{n-r} =(5)^{6-4}

a = 5

n = 6

r = 4

[Solving for b]

By direct comparison of b^r= (-\frac{1}{2})^4

r = 4

b = \frac{-1}{2}

Substitute values for a, b, n and r in

(a+b)^n = ......+ ^nC_ra^{n-r}b^r+.......

(5+\frac{-1}{2})^6 = ......+ ^6C_4(5)^{6-4}(\frac{-1}{2})^4+.......

(5-\frac{1}{2})^6 = ......+ ^6C_4(5)^{6-4}(\frac{-1}{2})^4+.......

Solve for ^6C_4

(5-\frac{1}{2})^6 = ......+ \frac{6!}{(6-4)!4!)}*(5)^{6-4}(\frac{-1}{2})^4+.......

(5-\frac{1}{2})^6 = ......+ \frac{6!}{2!!4!}*(5)^{6-4}(\frac{-1}{2})^4+.......

(5-\frac{1}{2})^6 = ......+ \frac{6*5*4!}{2*1*!4!}*(5)^{6-4}(\frac{-1}{2})^4+.......

(5-\frac{1}{2})^6 = ......+ \frac{6*5}{2*1}*(5)^{6-4}(\frac{-1}{2})^4+.......

(5-\frac{1}{2})^6 = ......+ \frac{30}{2}*(5)^{6-4}(\frac{-1}{2})^4+.......

(5-\frac{1}{2})^6 = ......+15*(5)^{6-4}(\frac{-1}{2})^4+.......

(5-\frac{1}{2})^6 = ......+15(5)^{6-4}(\frac{-1}{2})^4+.......

(5-\frac{1}{2})^6 = ......+15(5)^2(\frac{-1}{2})^4+.......

<em>Check the list of options for the expression on the left hand side</em>

<em>The correct answer is </em>(5-\frac{1}{2})^6<em />

3 0
3 years ago
Will mark brainliest!! please hurry!
andriy [413]

Answer:

its 300

Step-by-step explanation:

ik its is bc i got it right

3 0
3 years ago
The distance around a circle is 37.7 meters long. what is the diameter of the circle?
aksik [14]
Ok so we know that the distance around the circle (or circumference) is equal to the diameter times pi.
This means that
37.7 = \pi \times d
d being the diameter,

This means that:
d =  \frac{37.7}{\pi}
= 12.00028271
= 12 m

So the diameter of the circle is 12 metres.

Hope this helped
6 0
3 years ago
How many 3/4 foot pieces of string can be cut from a piece of string 4 1/2 feet long
Gnom [1K]
3/4 foot is 9 inches, and 4 1/2 feet is 54 inches, so, 54/9 makes exactly 6 pieces of string. 
8 0
3 years ago
Other questions:
  • Simplify this expression.<br> (100 + 4z)20
    11·2 answers
  • I WILL AWARD BRAINLIEST!! PLEASE HELP!!
    9·1 answer
  • Was my formula correct?
    13·1 answer
  • What are the common multiples of 36 and 48
    9·1 answer
  • 14 divided by negative 7/5
    13·2 answers
  • +54- -75 what the answer
    5·2 answers
  • What is the total amount of paper glass and plastic waste generated
    11·1 answer
  • Segment addition and midpoints.
    14·2 answers
  • Meet Id<br>912 037 6469<br>pass<br>121<br>join this on Z.00.M​
    14·1 answer
  • HELPPPPPPPPPPP , witch should I pick .
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!