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
alexira [117]
2 years ago
10

A tree makes a shadow that is 14 ft long. Rachel is 6 ft tall. when she id standing near the tree, her shadow is 3.5 ft long. wh

ich statement best explain why rachel can use a proportion to estimate the length of the tree?
Mathematics
1 answer:
ankoles [38]2 years ago
5 0
The triangle that is formed from by connecting the shadow, the tree and the endpoints of each is a right triangle. The two triangles formed (by the tree and its shadow, and by Rachel and her shadow) are similar. In similar triangles, the corresponding sides are proportional. Thus, to give the numerical answer to this item,
                         length  of the tree/14 ft = 6 ft / 3.5 ft
                                  length of the tree = 24 ft
You might be interested in
Aaron has 14 2/5 feet of rope. *He cuts it equally into 2 pieces. *He then cuts 1 of these pieces into 2/5 foot sections. How ma
Lunna [17]
He has 18 sections that are 2/5 feet long plz mark me branliest
3 0
2 years ago
Read 2 more answers
Given a triangle with perimeter 63 cm, one side of which is 21 cm, and one of the medians is perpendicular to one of its angle b
Rainbow [258]

Answer:

The lengths of all sides of the triangle will be 21 cm, 21 cm, and 21 cm

Step-by-step explanation:

Given that the perimeter of the triangle = 63 cm

And the length of one side = 21 cm

and one of the medians is perpendicular to one of its angle bisectors

Since triangle has 3 sides,

Median = 63 ÷ 3 = 21

Therefore each side length = 21 cm

7 0
3 years ago
A certain forest covers an area of 3100. Suppose that each year this area decreases by 4.75% . What will the area be after 7 yea
e-lub [12.9K]

Answer:

Step-by-step explanation:

This can be represented as exponential decreasing function.

   y = a(1 - r)t

       a = starting amount

       r = rate

       t = years

   y = 1600(1 - .0725)15

     = 1600(.9275)15

     = 1600(.32337673)

     = 517.40

In 15 years,  the forest will shrink in size to 517.40 km2

3 0
2 years ago
Read 2 more answers
A furniture store owner buys a sofa for $400 and marks it up %90 to sell it. During the stores anniversary sale she sells the so
lord [1]

Answer:

Anniversary sale price= $570

Step-by-step explanation:

Giving the following information:

Purchase cost= $400

Mar-up percentage= 90%

<u>First, we need to calculate the "normal" selling price:</u>

Selling price= 400*1.9= $760

<u>Now, we can determine the anniversary sale price:</u>

Anniversary sale price= 760 - (760*0.25)= $570

3 0
2 years ago
A manufacturer of coffee vending machines has designed a new, less expensive machine. The current machine is known to dispense (
cupoosta [38]

Answer:

t=(15-1) [\frac{0.219}{0.2}]^2 =16.7864

p_v = 2*P(\chi^2_{14}>16.786)=0.5355

And the 2 is because we are conducting a bilateral test.

\alpha=0.05 since the the p_v >0.05 we fail to reject the null hypothesis.

\alpha=0.01 since the the p_v >0.01 we fail to reject the null hypothesis.

Step-by-step explanation:

Data given

\mu=7 population mean (variable of interest)

\sigma=0.2 represent the population standard deviation

s=0.219 represent the sample deviation

n=15 represent the sample size

\alpha=0.05,0.01 represent the values for the significance level  

Hypothesis test

On this case we want to check if the population standard deviation is equal or not to 0.2, so the system of hypothesis are:

H0: \sigma = 0.2

H1: \sigma \neq 0.2

In order to check the hypothesis we need to calculate the statistic given by the following formula:

t=(n-1) [\frac{s}{\sigma_o}]^2

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

t=(15-1) [\frac{0.219}{0.2}]^2 =16.7864

P value

We know the degrees of freedom of the distribution 14 on this case and we can find the p value like this:

p_v = 2*P(\chi^2_{14}>16.786)=0.5355

And the 2 is because we are conducting a bilateral test.

\alpha=0.05 since the the p_v >0.05 we fail to reject the null hypothesis.

\alpha=0.01 since the the p_v >0.01 we fail to reject the null hypothesis.

3 0
3 years ago
Other questions:
  • in one month you had both a raise and a $250 bonus for exceeding your goals by 10%. your old paycheck gross was 2300 with a net
    13·1 answer
  • What is the first step in solving the equation 4.2y-5.2=18.5?
    13·2 answers
  • Please answer this question now
    12·1 answer
  • Can someone please help me with this
    13·1 answer
  • Jess needs 4 ounces of cheese for every 10 ounces of meat in a recipe if she uses 30 ounces of meat how much cheese will she nee
    11·1 answer
  • Which statement describes the expression 9(8 + 25)?
    14·2 answers
  • NEED HELPPPP! This is hard for me to do!
    8·1 answer
  • Convertir estos números de kilometros a porcentajes:
    7·1 answer
  • What is the equation of the line graphed below? Answer choices shown in image as well as the graph
    6·2 answers
  • Please help me asap.​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!