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
Brennan took a total of 16 pages of notes during 8 hours of class. After attending 10 hours of class, how many total pages of no
Nezavi [6.7K]
We use unitary method over here. To find out the number pages he writes in 1 hour we should;
16÷8 = 2.
So Brennan writes 2 pages in 1 hour.
Hence, in 10 hours he writes;
2 × 10 = 20.
∴ in ten hours Brennan writes 20 pages.
6 0
3 years ago
A deck contains these cards of the same size and shape.
alex41 [277]

Step-by-step explanation:

Total cards that deck contains= 5+4+2+1=12 ( as mentioned in question)

So,

1. Probability of getting blue card is 1/12

2. Probability of getting a red card is 2/12=1/6

hope it helps

3 0
3 years ago
Choose yes or no to tell whether the expression represent a 20% discount off the price of an item that originally cost d dollars
Vaselesa [24]

Answer: B. d - 0.2

Step-by-step explanation: 20%= 20/100= 0.2

Which means = d-0.2

Hope this helped.

8 0
3 years ago
Read 2 more answers
Which of the following would best represent a cosine function with an amplitude of 3, a period of pi/2 , and a midline at y = –4
Grace [21]
To transform the function f(x)= cos(x) to have the amplitude of 3, we need to multiply the constant 3 to the function f(x), so we have y=3f(x)

To transform the function f(x)=cos(x) to have the midline y=-4 we need to subtract f(x) by 4, so we have y=f(x)-4, 

To transform the function f(x)=cos(x) to have period of \frac{ \pi }{2}, we need to divide the original period 2 \pi by 4, so we have y=f(4x). Note that it is the 4x gives the effect of dividing the points on x-axes by 4 and the period is read on x-axes

Hence, the full transformation is given y=3f(4x)-4 which is the last option
8 0
3 years ago
Read 2 more answers
The sugar content of the syrup in canned peaches is normally distributed. A random sample of n = 10 cans yields a sample standar
Serggg [28]

Answer:

The 95% confidence interval is given by:

3.30<σ<8.76

Step-by-step explanation:

1) Data given and notation

s=4.798 represent the sample standard deviation

\bar x represent the sample mean

n=10 the sample size

Confidence=95% or 0.95

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

df=n-1=10-1=9

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical values.  

The excel commands would be: "=CHISQ.INV(0.025,9)" "=CHISQ.INV(0.975,9)". so for this case the critical values are:

\chi^2_{\alpha/2}=19.022

\chi^2_{1- \alpha/2}=2.700

And replacing into the formula for the interval we got:

\frac{(9)(4.798)^2}{19.022} \leq \sigma \frac{(9)(4.798)^2}{2.700}

10.892 \leq \sigma^2 \leq 76.736

Now we just take square root on both sides of the interval and we got:

3.30 \leq \sigma \leq 8.76

So the best option would be:

3.30<σ<8.76

7 0
3 years ago
Other questions:
  • What’s 4/5 = 20/blank = blank/45
    14·1 answer
  • 4/77 = 12/x!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    7·1 answer
  • Can someone please answer this!!!!
    6·1 answer
  • What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
    6·1 answer
  • A restaurant needs a staff of 3 waiters and 2 chefs to be properly staffed. The joint probability model for the number of waiter
    13·1 answer
  • 7+2 Officalbrotherz Tik Tok
    15·2 answers
  • X + y = 21<br> 3x – 2y = -12
    10·2 answers
  • 3x5
    14·2 answers
  • What is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet? Pls show work
    8·2 answers
  • The cube root is the same as______
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!