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
ludmilkaskok [199]
3 years ago
10

Only answer if known and please show work

Mathematics
1 answer:
rusak2 [61]3 years ago
4 0
Easy, the second one. Both figures seem congruent. 
You might be interested in
9 out of 20 students will attend the Worldwide Day of Play at RMS what percentage of students will not attend
EastWind [94]
U do 4/20 = p/100 then u cross multiply the 4 with 100 getting u 400, then divide the 400 by 20, giving u the answer of 20%
8 0
3 years ago
Read 2 more answers
The daily average temperature in Santiago, Chile, varies over time in a periodic way that can be modeled approximately by a trig
natali 33 [55]

Answer:

a) the trigonometric function is;

y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5

b) y = 28.36^0 \ C    ( to two decimal places)

Step-by-step explanation:

This data can be represented by the sinusoidal function of the form :

\mathbf{y = A sin (Bt -C)+D}

where A = amplitude and which can be determined via the formula:

A = \dfrac{largest \ temperature -  lowest \ temperature}{2}

A = \dfrac{29-14}{2}

A = \dfrac{15}{2}

A = 7.5° C

where B = the frequency;

Since the data covers a period of 3 days ; then \dfrac{2 \pi}{B } =365

B = \dfrac{2 \pi}{365}   ( where 365 is the time period )

The vertical shift is found by the equation D;

D =  \frac{largest \ temperature + lowest \ temperature}{2}

D = \frac{29+14}{2}

D = 21.5

Replacing the values of A ; B and D into the above sinusoidal function; we have :

y = 7.5 sin (\frac{2 \pi}{365}t -C) + 21.5

From the question; when it is 7th of the year ( i.e January 7);

t =  7 and the temperature (y) = 29° C

replacing that too into the above equation; we have:

29= 7.5 sin (\frac{2 \pi}{365}*7 -C) + 21.5

29= 7.5 sin (\frac{14 \pi}{365} -C) + 21.5

\frac{29-21.5}{7.5}=  sin (\frac{14 \pi}{365} -C)

1=  sin (\frac{14 \pi}{365} -C)

sin^{-1}(1)=   (\frac{14 \pi}{365} -C)

\frac{\pi}{2}=   (\frac{14 \pi}{365} -C)

C=   (\frac{14 \pi}{365} -\frac{\pi}{2})

C=   (\frac{28 \pi- 365 \pi}{730} )

C=  \frac{-337 \pi}{730}

Thus; the trigonometric function is;

y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5

Similarly; to determine the temperature o Jan 31; i.e when t= 31 ; we have :

y = 7.5 sin ( \frac{2 \pi}{365}*31+ \frac{337 \pi}{730})+ 21.5

y = 7.5 sin ( \frac{62 \pi}{365}+ \frac{337 \pi}{730})+ 21.5

y = 7.5 sin ( \frac{124 \pi+ 337 \pi }{730})+ 21.5

y = 7.5 sin ( \frac{461 \pi }{730})+ 21.5

y = 7.5 *( 0.915)+ 21.5

y = 6.8689+ 21.5

y = 28.36^0 \ C    ( to two decimal places)

7 0
3 years ago
Read 2 more answers
Alex invests his money in an account paying 2% interest compounded semiannually. What is the effective annual yield on this acco
Travka [436]

Answer: 2.01%.

Step-by-step explanation:

Suppose Alex invests $1 into the account for one year. The formula is A=P0⋅(1+rk)N⋅k with P0=$1. We know that r=0.02 and k=2 compounding periods per year. Now, N=1 year. Substituting the values we have A=$1⋅(1+0.022)2=$1.0201. Now, to calculate the effective annual yield, we will use the formula rEFF=A−P0P0. rEFF=1.0201−11=0.0201 or 2.01%. When rounded to two decimals, rEFF=2.01%. However, do not include the % in your answer.

3 0
2 years ago
Write down the general equation of the normal distribution
Talja [164]

The following is the plot of the normal percent point function. where \phi is the cumulative distribution function of the standard normal distribution and Φ is the probability density function of the standard normal distribution.

8 0
2 years ago
Find the distance between the points (4,3) and (-1,4) round answer to the nearest tenth
scZoUnD [109]

Answer:

The distance between those points rounded to the nearest tenth is 5.1

Step-by-step explanation:

1.   (x2-x1) = (-1 - 4) = -5

2.   (y2-y1) = (4 - 3) = 1

3.   (-5^)2 + (1)^2 = 25 + 1 = 26

4.   √26 = √26

5.   5.099 ---> Rounded to the nearest tenth = 5.1

5 0
2 years ago
Other questions:
  • Express 2 times square root 5 as an entire radical
    13·1 answer
  • The first city is in the shape of a square
    13·2 answers
  • Draw a model showing 2.4 divided by 3
    11·1 answer
  • A town has three roads that form an obtuse triangle. James wants to set up a refreshment stand so that the shortest distance fro
    15·1 answer
  • Ella has 50 stacks of ten pennies in each stack. Describe how to find how many pennies Ella has in all
    5·2 answers
  • 48. Climate A town's high temperature for a given
    9·1 answer
  • Y = -8x2 + 665x – 5754
    13·1 answer
  • Can someone help? The question is attached
    14·1 answer
  • Simplify -5-√-44<br><br> i have no idea
    12·1 answer
  • Yet another question for my final please answer and thanks in advance
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!