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
Zielflug [23.3K]
3 years ago
11

Two similar figures have sides in the ratio of 2:3. If a side of the smaller triangle has a length of 7, what is the length of t

he corresponding side of the other triangle?
Mathematics
2 answers:
dusya [7]3 years ago
4 0
1) 7/2 = 3.5
2) 3.5 * 3 = 10.5
answer: 10.5 
Alex777 [14]3 years ago
4 0

Answer:

Length of the bigger triangle is 10.5 units

Step-by-step explanation:

Let the length of the other triangle = x

We have that,

The length of the smaller triangle = 7 units

the ratio of sides of the figures = 2 : 3

So, we get that the proportions of the lengths will be equal.

That is, \frac{2}{3}=\frac{7}{x}

i.e. x=\frac{7\times 3}{2}

i.e. x=\frac{21}{2}

i.e. x = 10.5

Hence, the length of the bigger triangle is 10.5 units.

You might be interested in
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function
Aloiza [94]

The ball's maximum height is 30.25 feet.

<h3>What is quadratic equation?</h3>

A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0. Here a, b, are the coefficients, c is the constant term, and x is the variable.

Given:

h= -16t²+36t+10

Differentiate w.r.t. 't',

h' = -32t+36

When h=0, that will be the maximum height

32t= 36

t= 9/8

t= 1.125 sec.

So, The maximum height is

h(1.123)= -16(1.125)² + 36*1.125+10

h(1.125) = 30.25 feet.

Learn more about this concept here:

brainly.com/question/10335037

#SPJ1

5 0
1 year ago
Suppose a baker claims that the average bread height is more than 15cm. Several of this customers do not believe him. To persuad
laila [671]

Answer:

17-2.262\frac{1.9}{\sqrt{10}}=15.641    

17+2.262\frac{1.9}{\sqrt{10}}=18.359    

So on this case the 95% confidence interval would be given by (15.641;18.359)    

And since the lower limit for the confidence interval is higher than 15 we can conclude that at 5% of significance the true mean is higher than 15 cm

Step-by-step explanation:

Previous concepts

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 means 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.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=17 represent the sample mean

\mu population mean (variable of interest)

s=1.9 represent the sample standard deviation

n=10 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first 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 table to find the critical value. The excel command would be: "=-T.INV(0.025,9)".And we see that t_{\alpha/2}=2.262

Now we have everything in order to replace into formula (1):

17-2.262\frac{1.9}{\sqrt{10}}=15.641    

17+2.262\frac{1.9}{\sqrt{10}}=18.359    

So on this case the 95% confidence interval would be given by (15.641;18.359)    

And since the lower limit for the confidence interval is higher than 15 we can conclude that at 5% of significance the true mean is higher than 15 cm

4 0
3 years ago
What is -0.75 - (-2/3) +0.4 + (-3/4) =
liberstina [14]

Answer:

-0.43

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Graph the function. ( Look at the picture for the problem and graph. Need help and please only answer if you know the right answ
aliya0001 [1]

Answer:

there is a website called desmos and you can type all of that in and it can graph it, hope that helps(: and its free

5 0
2 years ago
What is 14=9-x I am trying to solve it
prisoha [69]
14 = 9 - x

First, subtract 9 from both sides.

14 - 9 = (9 - 9) - x
5 = -x

Now divide both sides by -1.
5/-1 = -1/-1x
-5 = x

The answer is x = -5.
6 0
3 years ago
Other questions:
  • Jennifer receives $100 and puts it into her savings account. She adds $0.25 to the account each day for a number of days, d, aft
    8·2 answers
  • Finn bought 2 packs of stickers. A friend gave him 4 more stickers. Now he has 24 stickers in all. How many stickers were in eac
    14·2 answers
  • How many minutes are in 9 weeks
    5·2 answers
  • An average of 2,000 charts need to be coded each month. if it takes an average of 15 minutes to code each chart— how many charts
    6·1 answer
  • WILL GIVE ALL MY POINTS working alone, machine a takes 2 hours to build a car, working alone machine b takes 3 hours to build a
    8·1 answer
  • PLEASE HELP!! 15 POINTS
    13·1 answer
  • The graph of f(x) = 3 . 2*-3 is shown below. g(x) is a transformation of f(x).
    14·1 answer
  • Can you please help me?​
    9·2 answers
  • A student takes the same street from his home to the university every day. There are 3 streetlights along the way, and he has no
    5·1 answer
  • A town with a population of 5,000 grows 3% per year. Find the population at the end of two years using the Growth and Decay meth
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!