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
Lostsunrise [7]
2 years ago
15

Based on the areas of the squares determine whether the triangle shown is a right triangle

Mathematics
1 answer:
Stella [2.4K]2 years ago
5 0

Answer:

The answer is "triangle ABC is not a right triangle".

Step-by-step explanation:

For a right-angle triangle:

Its square upon on longest or triangular edges is equivalent to the total of the other two squares

Its parameters indicated throughout the question are;

Square of lateral length A = 7 \ inch^2

The square of lateral length B = 18 \ inch^2

The square of lateral length C=27\  inch^2

Thus, the longest side is C, as well as the size inch^2 of the squares of its two sides, is7 + 18 = 25 \ inch^2, lower than square C = 27\ inch^2, hence, the ABC triangle is not correct. Its longest edge is consequently C.

You might be interested in
This is in integers.<br><br> Q: evaluate (+5)-(+9)-(-7)
creativ13 [48]

can be simplified as 5-9+7=-4+7=3

3 0
3 years ago
Read 2 more answers
A photoconductor film is manufactured at a nominal thickness of 25 mils. The product engineer wishes to increase the mean speed
Natali [406]

Answer:

t=\frac{1.17-1.04}{\sqrt{\frac{0.11^2}{8}+\frac{0.09^2}{8}}}}=2.587  

df=n_{1}+n_{2}-2=8+8-2=14

Since is a one sided test the p value would be:

p_v =P(t_{(14)}>2.587)=0.0108

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, we have enough evidence to reject the null hypothesis on this case and the 25 mil film have a mean greater than the 20 mil film so then the claim is not appropiate

Step-by-step explanation:

Data given and notation

\bar X_{1}=1.17 represent the mean for the sample 1 (25 mil film)

\bar X_{2}=1.04 represent the mean for the sample 2 (20 mil film)

s_{1}=0.11 represent the sample standard deviation for the sample 1

s_{2}=0.09 represent the sample standard deviation for the sample 2

n_{1}=8 sample size selected for 1

n_{2}=8 sample size selected for 2

\alpha=0.05 represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

p_v represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if reducing the film thickness increases the mean speed of the film, the system of hypothesis would be:

Null hypothesis:\mu_{1} \leq \mu_{2}

Alternative hypothesis:\mu_{1} > \mu_{2}

If we analyze the size for the samples both are less than 30 so for this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

Calculate the statistic

We can replace in formula (1) the info given like this:

t=\frac{1.17-1.04}{\sqrt{\frac{0.11^2}{8}+\frac{0.09^2}{8}}}}=2.587  

P-value

The first step is calculate the degrees of freedom, on this case:

df=n_{1}+n_{2}-2=8+8-2=14

Since is a one sided test the p value would be:

p_v =P(t_{(14)}>2.587)=0.0108

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, we have enough evidence to reject the null hypothesis on this case and the 25 mil film have a mean greater than the 20 mil film so then the claim is not appropiate

4 0
2 years ago
Find the compound interest on Rs. 2000 for one year at the rate of '20%' per annum. If theinterest compounded quarterly.​
trasher [3.6K]

Given:

Principal = Rs. 2000

Rate of interest = 20% p.a. compounded quarterly.

Time = 1 year

To find:

The compound interest.

Solution:

Formula for amount:

A=P\left (1+\dfrac{r}{n}\right)^{nt}

where,

P = Principal

r = Rate of interest

t= Time

n = number of times interest compounded in an year.

Putting P=2000, r=0.2, n=4 and t=1, we get

A=2000\left (1+\dfrac{0.2}{4}\right)^{4(1)}

A=2000\left (1.05\right)^{4}

A=2000\left (1.21550625\right)

A=2431.0125

Now, the compound interest is

C.I.=A-P

C.I.=2431.0125-2000

C.I.=431.0125

Therefore, the compound interest is Rs 431.0125.

3 0
3 years ago
A rattlesnake at a zoo is 8 feet long. A corn snake at a zoo is 1/4 of that length. Enter the length, in feet, of the corn snake
Tatiana [17]
2 feet. 1/4 of 8 is 2
6 0
3 years ago
It tray has 25 dollars and jay as 9 what is that together?
djverab [1.8K]

Answer:

34 dollars

Step-by-step explanation

It is 34 because if you look at the question, you can determine that it is asking for addition. 25+9 =34

7 0
2 years ago
Read 2 more answers
Other questions:
  • John has a circular pool that has a radius of 7 feet. What is the area of his pool? Please use the formula sheet to assist you w
    13·2 answers
  • In the function f (x) = = (x²-1) / (x-1), what happens if x takes the value of 1? Explain your answer.
    5·1 answer
  • For the graphed exponential equation, calculate the average rate of change from x = 0 to x = 1.
    9·2 answers
  • Simplify the ezpression:<br> 9-2-2/+ (-16)
    7·1 answer
  • 10 = 4 + c Question 1 options: c = 2 c = 6 c = 12 c = 14
    8·2 answers
  • Find 2 consecutive even integers such that twice the larger integer is four more than half of the smaller integer
    5·1 answer
  • One side of a square is 5n inches long. Another side is n + 16 inches long. How long is a side of the square?
    15·2 answers
  • Use the Law of Sines to find the measure of angle R to the nearest degree.
    10·1 answer
  • Hi guys a joke what does cow celebrate?
    8·1 answer
  • A triangle has vertices at (3,2),(3,6),(7,2) find the area of the triangle
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!