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
Ierofanga [76]
3 years ago
13

The longest side of a triangle is 5 in longer than the shortest side. The medium side is 4 in longer than the shortest side. If

the perimeter of the triangle is 27 in, what are the lengths of the three sides?
Mathematics
1 answer:
aliina [53]3 years ago
7 0

Answer: Shortest side = 6 inches, Medium side = 10 inches and Longest side = 11 inches

Step-by-step explanation: The perimeter has been given as 27 inches, and we know that the perimeter of any given figure is the addition of all sides. The sides are unknown yet, but we have clues as follows;

The longest side is 5 inches longer than the shortest side, hence the longest side equals s + 5. The medium side is 4 inches longer than the shortest side, hence the medium side equals s+ 4. Th shortest side remains s.

Therefore with the perimeter given as 27, we now have the expression;

s + s + 4 + s + 5 = 27

3s + 9 = 27

Subtract 9 from both sides of the equation

3s = 18

Divide both sides of the equation by 3

s = 6

Hence, the sides of the triangle are given as 6, (6+ 4) and (6+ 5), which is,

6 inches, 10 inches and 11 inches.

You might be interested in
What is 8,000,000 + 100,000 + 7,000 + 400 + 20 + 4 in standard form?
DIA [1.3K]

Answer:

8,107,424

Step-by-step explanation:

The 8,000,000 would stay the same, but the second zero would be switched by a one. The third number would still just be a zero. The other zero would turn into a seven, and the last three numbers would be 4, 2 and 4. You can also find the number by adding.

4 0
3 years ago
Read 2 more answers
A rectangular plot of ground is 10 meters longer than it is wide. its area is 10,000 square meters
yarga [219]
Keep in mind x >0 since x is a measurement of length.

6 0
3 years ago
Find the critical value of x2 based on the given information H1 >3.5 n=14 a=0.05
egoroff_w [7]

Answer:

The degrees of freedom are given by:

df = n-1=14-1=13

The significance level is \alpha=0.05 and then the critical value can be founded in th chi square table we need a quantile that accumulates 0.05 of the area in the right tail of the distribution and for this case is:

\chi^2_{\alpha}= 22.362

And if the chi square statistic is higher than the critical value we can reject the null hypothesis in favor of the alternative.

Step-by-step explanation:

We have the followign system of hypothesis:

Null hypothesis: \sigma^2 \leq 3.5

Alternative hypothesis: \sigma^2 >3.5

The degrees of freedom are given by:

df = n-1=14-1=13

The significance level is \alpha=0.05 and then the critical value can be founded in th chi square table we need a quantile that accumulates 0.05 of the area in the right tail of the distribution and for this case is:

\chi^2_{\alpha}= 22.362

And if the chi square statistic is higher than the critical value we can reject the null hypothesis in favor of the alternative.

4 0
3 years ago
It cost Hudson $28.20 to send 188 text messages. How much would it cost to send 63 text messages? Good luck!
frosja888 [35]

Answer:

$9.45

Step-by-step explanation:

1.  First, you want to figure out how much one text message costs.  To do this, divide the dollar amount (28.20) by the number of text messages (188).  You get 0.15, or $0.15 per text message.

2. Using this $0.15 per text message, you can calculate how much 63 text messages costs.  You simply multiply $0.15 by 63 to get $9.45, which is your answer.

Hope this helps! :)

3 0
3 years ago
To get pictures taken at
xxMikexx [17]
10x + 25 = $145
10x = $120
x =10
The number of poses is 10
7 0
3 years ago
Read 2 more answers
Other questions:
  • A sweater is marked down $25 to $19 what is the percent of change
    9·1 answer
  • Fully describe what it means to have a positive slope and a negative slope. Your description should be given from a graphical pe
    9·1 answer
  • What are 2 numbers that round to 264.5 when rounded to the nearest tenth
    14·2 answers
  • 6.
    5·2 answers
  • Can someone help me please
    8·2 answers
  • Find the sum of arithmetic sequences 4+8+12+16+...+400
    14·2 answers
  • How much sales tax will you pay?
    13·1 answer
  • A popular baseball card is in great demand. The shop marks its price, $68, up by 8%. What is the new price?
    12·1 answer
  • The sum of a number and 29 is 54.Find the number.
    8·2 answers
  • Solve the problem and find the answer
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!