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
Naily [24]
3 years ago
11

62 in x 48 in 144 in Set Up Proportion height=​

Mathematics
1 answer:
JulijaS [17]3 years ago
5 0

Answer:

A geometric diagram of the two shadows and the height of the two people are shown below.

Step-by-step explanation:

You might be interested in
Which is a property of an angle?
Margaret [11]

Answer:

I believe that it is the last answer. have a great day!

3 0
4 years ago
PLEASE HELP!! algebra 2
Debora [2.8K]

Answer:

your answer is D

Step-by-step explanation:

5 0
3 years ago
2. Suppose 27 blackberry plants started growing in a yard. Absent constraint, the blackberry plants will spread by 80% a month.
Marta_Voda [28]

Explanation

The question indicates we should use a logistic model to estimate the number of plants after 5 months.

This can be done using the formula below;

\begin{gathered} P(t)=\frac{K}{1+Ae^{-kt}};A=\frac{K-P_{0_{}}}{P_0}_{} \\ \text{From the question} \\ P_0=\text{ Initial Plants=27} \\ K=\text{Carrying capacity =140} \end{gathered}

Workings

Step 1: We would need to get the value of A using the carrying capacity and initial plants that started growing in the yard.

This gives;

\begin{gathered} A=\frac{140-27}{27} \\ A=\frac{113}{27} \end{gathered}

Step 2: Substitute the value of A into the formula.

P(t)=\frac{140}{1+\frac{113}{27}e^{-kt}}

Step 3: Find the value of the constant k

Kindly recall that we are told that the plants increase by 80% after each month. Therefore, after one month we would have;

\begin{gathered} P(1)=27+(\frac{80}{100}\times27) \\ P(1)=\frac{243}{5} \end{gathered}

We can then have that after t= 1month

\begin{gathered} \frac{140}{1+\frac{113}{27}e^{-k\times1}}=\frac{243}{5} \\ Flip\text{ the equation} \\ \frac{1+\frac{113}{27}e^{-k}}{140}=\frac{5}{243} \\ 243(1+\frac{113}{27}e^{-k})=700 \\ 243+1017e^{-k}=700 \\ 1017e^{-k}=700-243 \\ 1017e^{-k}=457 \\ e^{-k}=\frac{457}{1017} \\ -k=\ln (\frac{457}{1017}) \end{gathered}

Step 4: Substitute -k back into the initial formula.

\begin{gathered} P(t)=\frac{140}{1+\frac{113}{27}e^{\ln (\frac{457}{1017})t}} \\ =\frac{140}{1+\frac{113}{27}(e^{\ln (\frac{457}{1017})})^t} \\ P(t)=\frac{140}{1+\frac{113}{27}(\frac{457}{1017}^{})^t} \\  \end{gathered}

The above model is can be used to find the population at any time in the future.

Therefore after 5 months, we can estimate the model to be;

\begin{gathered} P(5)=\frac{140}{1+\frac{113}{27}(\frac{457}{1017}^{})^5} \\ P(5)=\frac{140}{1.07668} \\ P(5)=130.029\approx130 \end{gathered}

Answer: The estimated number of plants after 5 months is 130 plants.

8 0
1 year ago
Applying the Third Corollary to the Inscribed Angles Theorem A circle is shown. Points A, B, C, and D are on the circle. Lines c
Marat540 [252]

Answer:

  • ∠B = 110°
  • ∠D = 70°

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral are supplementary, so ...

  ∠B +∠D = 180°

  (3x -4) +(2x -6) = 180

  5x = 190 . . . . . . . . . . . add 10, collect terms

  x = 38 . . . . . . . . . . . . . divide by 5

  ∠D = 2(38) -6 = 70

  ∠B = 180 -70 = 110

The measures of angles B and D are 110° and 70°, respectively.

8 0
4 years ago
David rowed a boat upstream for three miles and then returned to point he started from. The entire journey took four hours. The
CaHeK987 [17]
To solve for the time it takes to travel a certain distance at a certain speed, use the formula,
                                     time = distance / speed

Given that the entire journey takes four hours, add up the time it takes David to row upstream with that of him travelling downstream. This is mathematically represented as,

                              total time = time upstream + time downstream

                                         4 = 3/(x - 1) + 3/(x +1)

Solving for x in the equation gives 2. Thus, David's speed in still water is 2 miles per hour. 
7 0
4 years ago
Other questions:
  • Is it true that if two angles with measures that sum to 180 that they are linear pairs?
    13·2 answers
  • I need help with finding the answer of 21 laps in 7 minutes unit rate
    15·1 answer
  • What is [(1/16) + (1/4)] * [(2/3) * (1/4)]? Simplify the answer and write as a proper fraction. *
    5·1 answer
  • As Saturn revolves around the sun, it travels at a rate of approximately miles per second. Convert this rate to 6 miles per minu
    14·2 answers
  • You are planning a day of shopping. You will visit the following six ​stores: Meijer comma JCPenney comma Lowes comma Follett's
    15·1 answer
  • Ryan flips a coin 8 times and gets tails all 8 times. What is the experimental probability that Ryan will get heads the next tim
    6·1 answer
  • Passed through the point <br> (5, -1) and (3,5) Write the slope-intercept form.
    14·1 answer
  • there are 5 tables in the library.four students are sitting at each table. how many students are sitting in the library?
    10·1 answer
  • What is the number of terms in this expression?<br><br>m/5+4.6<br>please help
    11·1 answer
  • A knife is four times the amount of a spoon.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!