132! Read on for explanation..... So first step is to choose which to solve (either way works) for example let’s start with the base, the base is a square and a square will always have to the same measurements on each side so for the base you find your measurement, which is 6, so you multiply 6 by 6 to get 36, then you move on to the triangles, for the triangles it’s also asking the same thing as the base, but now it’s asking for the height and the base which the height is 8 and the base is 6, so you multiply those two numbers and get 48 BUT you also have to multiply 48 by 1/2 because the formula for a triangle is A = BH1/2 so 48 multiplied by 1/2 is 24 and instead of doing this for each side, you can simply multiply 24 by 4, because there are 4 triangles that make that shape complete, so 24 times 4 is 96, now you have add the sums, 96 plus 36 equals 132. and don’t forget to put 132 square ft.
An importance of mathematical proofs is that they elucidate on why a conjecture is false (untrue).
<h3>The importance of mathematical proofs.</h3>
Generally, some of the importance of mathematical proofs include the following:
- They elucidate on why a conjecture is false (untrue).
- It provides a rational and logical justification for a theory.
In geometry, some of the consequences of the inaccuracy in the conclusion within a proof are:
- It leads to the misinterpretation of concepts and theories.
- It produces wrong results.
Outside the world of geometry, there are different kinds of proofs and these include:
- The Big Bang theory.
- Reflection of light by a plane mirror.
- Surface tension in water.
Basically, if there were to be an unjustified conclusion in the proofs above, the study of the properties of matter might not be possible. Also, the end users of various materials are most likely to be affected.
Read more on proofs here: brainly.com/question/26283907
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Answer:
x = 2
Step-by-step explanation:
= ( cross- multiply )
5(x + 1) = 3(x + 3) ← distribute parenthesis on both sides
5x + 5 = 3x + 9 ( subtract 3x from both sides )
2x + 5 = 9 ( subtract 5 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Answer: Option 'D' is correct.
Step-by-step explanation:
If there is difference between the sample mean and the population mean, then it is known as "Sampling error".
As we know that standard error of the mean is given by
and the sampling error refers to the difference in the value of sample mean and the value of population mean.
Hence, Option 'D' is correct.