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
I am Lyosha [343]
3 years ago
13

A bird at the top of a tree looks down at a field mouse with an angle of depression of 65Á. If the field mouse is 30 meters from

the base of the tree, find the distance from the field mouse to the birdÍs eyes. Round the answer to the nearest tenth.
a.
29.6 m
b.
50.0 m
c.
64.3 m
d.
71.0 m

Mathematics
1 answer:
Dafna11 [192]3 years ago
3 0
Correct answer is 33.1 m.

Use The definition of trigonometric functions. The sine of an angle is the quotient of the opposite side and hypotenuse.

sin{65^o}= \frac{30}{x} 
\\x= \frac{30}{sin{65^o}}
\\x=33.1 


You might be interested in
What is negative 7 minus negative 4
Nimfa-mama [501]

Answer:

-7-(-4)= -3

Step-by-step explanation:

Subtracting a negative number from a negative number – a minus sign followed by a negative sign, turns the two signs into a plus sign. So, instead of subtracting a negative, you are adding a positive.

3 0
3 years ago
Read 2 more answers
Please give answer for this
andrew-mc [135]

Answer:

100 square cm

Step-by-step explanation:

Area of figure 1 = l *b = 10 *7 = 70 square cm

Area of figure 2  =  6* 5 = 30 square cm

Area of shape = 70 + 30 = 100 square cm

6 0
2 years ago
Draw an example of a composite figure that has a volume between 750 cubic inches and 900 cubic inches
grigory [225]

Volume:

V \approx 888.02in^3 \\ \\ And, \ 750in^3

<h2>Explanation:</h2>

A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

V_{total}=V_{cylinder}+V_{hemisphere} \\ \\ \\ V_{total}=V \\ \\ V_{cylinder}=V_{c} \\ \\ V_{hemisphere}=V_{h}

So:

V_{c}=\pi r^2h \\ \\ r:radius \\ \\ h:height

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

r=\frac{8}{2}=4in

And the height of the cylinder is:

h=15in

So:

V_{c}=\pi r^2h \\ \\ V_{c}=\pi (4)^2(15) \\ \\ V_{c}=240\pi in^3

The volume of a hemisphere is half the volume of a sphere, hence:

V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi r^3\right) \\ \\ V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi (4)^3\right) \\ \\ V_{h}=\frac{128}{3}\pi in^3

Finally, the volume of the composite figure is:

V=240\pi+\frac{128}{3}\pi \\ \\ V=\frac{848}{3}\pi in^3 \\ \\ \\ V \approx 888.02in^3 \\ \\ And, \ 750in^3

<h2>Learn more:</h2>

Volume of cone: brainly.com/question/4383003

#LearnWithBrainly

4 0
3 years ago
Simplify: a+2a+3a+4a
kolezko [41]

Since all of these numbers have the same variable they can all be added up to get a sum of 10a which is its simplified form.

5 0
3 years ago
Read 2 more answers
P(x)= 3x^3-5x^2-14x-4
nexus9112 [7]
   
\displaystyle\\&#10;P(x)=3x^3-5x^2-14x-4\\\\&#10;D_{-4}=\{-4;~-2;~\underline{\bf -1};~1;~2;~4\}\\\\&#10;\text{We observe that } \frac{-1}{3} \text{ is a solution of the equation:}\\&#10;3x^3-5x^2-14x-4=0\\\\&#10;

\displaystyle\\&#10;\text{Verification}\\\\&#10;3x^3-5x^2-14x-4=\\\\&#10;=3\times\Big(-\frac{1}{3}\Big)^3-5\times\Big(-\frac{1}{3}\Big)^2-14\times\Big(-\frac{1}{3}\Big)-4=\\\\&#10;=-\frac{1}{9}-\frac{5}{9}+\frac{14}{3}-4=\\\\&#10;=-\frac{6}{9}+\frac{14}{3}-4=\\\\&#10;=-\frac{6}{9}+\frac{42}{9}- \frac{4\times 9}{9}=\\\\&#10; =-\frac{6}{9}+\frac{42}{9}- \frac{36}{9}= \frac{42-6-36}{9}=\frac{42-42}{9}=\frac{0}{9}=0\\\\&#10;\Longrightarrow~~~P(x)~\vdots~\Big(x+ \frac{1}{3}\Big)\\\\&#10;\Longrightarrow~~~P(x)~\vdots~(3x+1)


\displaystyle\\&#10;3x^3-5x^2-14x-4=0\\&#10;~~~~~-5x^2 = x^2 - 6x^2\\&#10;~~~~~-14x =-2x-12x \\&#10;3x^3+x^2 - 6x^2-2x-12x-4=0\\&#10;x^2(3x+1)-2x(3x+1) -4(3x+1)=0\\&#10;(3x+1)(x^2-2x -4)=0\\\\&#10;\text{Solve: } x^2-2x -4=0\\\\&#10;x_{12}= \frac{-b\pm  \sqrt{b^2-4ac}}{2a}=\\\\=\frac{2\pm  \sqrt{4+16}}{2}=\frac{2\pm  \sqrt{20}}{2}=\frac{2\pm  2\sqrt{5}}{2}=1\pm\sqrt{5}\\\\&#10;x_1 =1+\sqrt{5}\\&#10;x_2 =1-\sqrt{5}\\&#10;\Longrightarrow P(x)= 3x^3-5x^2-14x-4 =\boxed{(3x+1)(x-1-\sqrt{5})(x-1+\sqrt{5})}



7 0
3 years ago
Other questions:
  • Students in a random sample of 57 students measured their handspan. The dot plots display the results for the males and females.
    15·1 answer
  • What is the sum of the first 20 terms of a finite geometric series where a1 =3 and r = 3/2
    9·1 answer
  • Data collected in a survey shows that 60 percent of the buyers are interested in buying a brand of mobile phone and if the total
    13·1 answer
  • The coordinates of point D are (7, 4) and the coordinates of point E are (1, -3).
    5·1 answer
  • One number exceeds another by 18 and their sum is 36.
    11·1 answer
  • Check all solutions to the equation. If there are no solutions, check "None."<br> x=-81
    15·2 answers
  • Review the graph of function f(x), which is defined for –4 &lt; x ≤ 2.
    9·1 answer
  • Susan made 2 identical necklaces, each having beads and a pendent. The total cost of the beads and pendents for both necklaces w
    9·2 answers
  • Wats Tuesday work plz help
    9·1 answer
  • To calculate 587 ÷ 1,000, how many decimal points to the left should the decimal in 587 move?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!