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
Liula [17]
2 years ago
7

If a house is 15 meters long and 12 meters wide how long is the diagonal of the house

Mathematics
2 answers:
Makovka662 [10]2 years ago
6 0

Answer:

19.21m  is the diagonal

Step-by-step explanation:

We are looking for the diagonal, which makes it the hypotenuse of a right triangle, with the legs being 15 and 12

We can use the Pythagorean theorem

a^2 + b^2 = c^2

12^2 + 15^2 = c^2

144 +225 = c^2

369 = c^2

Take the square root of each side

sqrt(369) = sqrt(c^2)

19.209 =c

19.21 m = c

dybincka [34]2 years ago
3 0

We can solve for the diagonal using its formula: D = √L² + W²

D = √15² + 12²

D = √225 + 144

D = √369

D = 19.209..

Round to the nearest hundredth.

19.209… -> 19.21 meters

Hence, the diagonal of the house is roughly 19.21 meters.

Best of Luck!

You might be interested in
I’m pretty sure I’m wrong PLSSSS HELP
koban [17]
Your answer is definitely right good job
3 0
2 years ago
You and your friend go out to dinner The cost of your meal is 12.75, your friend's meal is 13.95. You tell your friend that you
gavmur [86]

answer: 5.34

Step by step explanation 12.75 + 13.95=26.7

20% of 26.7 is 5.34

6 0
2 years ago
The center of a circle is at (−3, 1) and its radius is 9.
pickupchik [31]

Answer:

Sorry but the correct answer is (x+3)2+(y−1)2=81

Step-by-step explanation:

Because the radius squared is the answer of the equation

4 0
3 years ago
Given f(x) = 10 - 16/x, find all c in the interval [2,8] that satisfy the mean value theorem
Katen [24]
F(x)=10-16/x
f'(x)=16/x^2
f'(c)=16/c^2
f(8)=10-16/8=10-2=8
f(2)=10-16/2=10-8=2
f'(c)= \frac{f(b)-f(a)}{b-a} in (2,8),
 \frac{16}{c^2} = \frac{f(8)-f(2)}{8-2} ,
 \frac{16}{c^2} = \frac{8-2}{8-2}

4∈[2,8] is the required point.
8 0
3 years ago
Read 2 more answers
7. License Plate Laws The Chapter Problem involved passenger cars in Connecticut and passenger cars in New York, but here we con
sergejj [24]

Yes it is true that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars because null hypothesis is rejected.

Given among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates.

let p_{1} be the probability that commercial cars have rear license plates and p_{2} be the probability that connected trucks have rear license plates.

                         Cars                     Trucks                         Total

Total                  2049                    334                             2383

x                          239                      45                                284

p                        0.1166                   0.1347                          0.1191

α=0.05

Hypothesis will be  :

H_{0}:p_{1} =p_{2}

H_{1} :p_{1} < p_{2}

It is a left tailed test at 0.05 significance.

Standard errors of p=\sqrt{p(1-p)/n}

=\sqrt{(0.1191*0.8809)/2383}

=\sqrt{0.1049/2383}        

=0.0066

Test statistic Z=p difference/standard error

=(0.1166-0.1347)/0.0066

=-0.0181/0.0061

=-2.967

p value=0.001505<5%

Since p is less than 5% we reject null hypothesis.

We cannot calculate standard deviation so  we cannot calculate confidence interval.

Hence there is statistical evidence at 5% significance level to support that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

Learn more about z test at brainly.com/question/14453510

#SPJ4

5 0
2 years ago
Other questions:
  • Is there more than 5 ways to slove 4x+3y=3 ?
    7·2 answers
  • If $1500 is invested at an interest rate of 4.75% per year, compounded quarterly, find the value of the investment after the giv
    7·1 answer
  • 2) Ten Percent of 27 is _<br> One Percent of 27 is<br> Find 14% of 27.
    12·1 answer
  • What is the recursive formula for this arithmetic sequence?
    11·1 answer
  • solve the equation for x. show each step of the solution. name the justification for each step of the solution 9/2 (8-x) +36=102
    5·1 answer
  • Max made 20$ walking his uncle Bobs dog.max gave his friend angel 7$ for his birthday. What percent of his money did max give to
    11·1 answer
  • Any recommendations for anime?​
    10·2 answers
  • 3x(2x-7y)-8x(x+2y)+2y(4x-y)
    15·2 answers
  • I have a question please answer it.
    5·2 answers
  • Please help ME for brainliest.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!