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denis23 [38]
2 years ago
13

Find the length of a using

Mathematics
2 answers:
Aneli [31]2 years ago
8 0
\bold{ANSWER:}
a = 5.3

\bold{EXPLANATIONS:}

Murrr4er [49]2 years ago
3 0

Answer:

8.3

Step-by-step explanation:

8 square = 6 square + x square

square them

64 = 36 + x square

minus 64 with 36

64 - 36 = 28

cancel the square with square root

x square = 28

square root of 28 is 5.3

5.3 x 5.3 = 28.09

hope this helped you!

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A study published in Health Magazine in 2010 suggested that a combination of high blood pressure and binge drinking have an incr
nekit [7.7K]

Answer:

This is a Retrospective study

Step-by-step explanation:

Retrospective study is a study that compares two groups of people; those with disease or condition under study and a very similar group of people who do not have the disease or condition.

Here they are compring those men with high blood pressure who drank and those with no high blood pressure and don't drink.

6 0
3 years ago
How do i find the measure of R or whatever big confushion help
AfilCa [17]

Answer:

m∠R= 87°

Step-by-step explanation:

The angles in a polygon add up to (n-2)180

(5-2)180= 540°

You can set up an equation to add all the angles together equaling 540°.

Once you solve for x, plug that back into the formula for the angle of R(7x-11)

3 0
3 years ago
Jordy was living in a third story apartment in his complex. up there he was paying an annual renters insurance premium of $325.0
Margaret [11]
New annual renter's insurance premium = 325(1 + 0.18) = 325 x 1.18 = $383.50
6 0
3 years ago
Read 2 more answers
3. Let A, B, C be sets and let ????: ???? → ???? and ????: ???? → ????be two functions. Prove or find a counterexample to each o
Fiesta28 [93]

Answer / Explanation

The question is incomplete. It can be found in search engines. However, kindly find the complete question below.

Question

(1) Give an example of functions f : A −→ B and g : B −→ C such that g ◦ f is injective but g is not  injective.

(2) Suppose that f : A −→ B and g : B −→ C are functions and that g ◦ f is surjective. Is it true  that f must be surjective? Is it true that g must be surjective? Justify your answers with either a  counterexample or a proof

Answer

(1) There are lots of correct answers. You can set A = {1}, B = {2, 3} and C = {4}. Then define f : A −→ B by f(1) = 2 and g : B −→ C by g(2) = 4 and g(3) = 4. Then g is not  injective (since both 2, 3 7→ 4) but g ◦ f is injective.  Here’s another correct answer using more familiar functions.

Let f : R≥0 −→ R be given by f(x) = √

x. Let g : R −→ R be given by g(x) = x , 2  . Then g is not  injective (since g(1) = g(−1)) but g ◦ f : R≥0 −→ R is injective since it sends x 7→ x.

NOTE: Lots of groups did some variant of the second example. I took off points if they didn’t  specify the domain and codomain though. Note that the codomain of f must equal the domain of

g for g ◦ f to make sense.

(2) Answer

Solution: There are two questions in this problem.

Must f be surjective? The answer is no. Indeed, let A = {1}, B = {2, 3} and C = {4}.  Then define f : A −→ B by f(1) = 2 and g : B −→ C by g(2) = 4 and g(3) = 4. We see that  g ◦ f : {1} −→ {4} is surjective (since 1 7→ 4) but f is certainly not surjective.  Must g be surjective? The answer is yes, here’s the proof. Suppose that c ∈ C is arbitrary (we  must find b ∈ B so that g(b) = c, at which point we will be done). Since g ◦ f is surjective, for the  c we have already fixed, there exists some a ∈ A such that c = (g ◦ f)(a) = g(f(a)). Let b := f(a).

Then g(b) = g(f(a)) = c and we have found our desired b.  Remark: It is good to compare the answer to this problem to the answer to the two problems

on the previous page.  The part of this problem most groups had the most issue with was the second. Everyone should  be comfortable with carefully proving a function is surjective by the time we get to the midterm.

3 0
3 years ago
14) The perimeter of this isosceles triangle is represented by the
Galina-37 [17]

The isosceles triangle is missing so i have attached it.

Answer:

Length of unknown side = 5p + 6

Step-by-step explanation:

In isosceles triangle, two of the sides are equal. In the attached triangle, we see that one of the equal sides is given as 5p + 3.

Thus,the second equal side is also 5p + 3.

Now, perimeter of a triangle is the sum of the three sides.

We have two sides and let the third side be denoted as x.

Thus;

Perimeter = (5p + 3) + (5p + 3) + x

We are given perimeter = 15p + 12

Thus;

(5p + 3) + (5p + 3) + x = 15p + 12

10p + 6 + x = 15p + 12

Rearranging, we have;

x = 15p - 10p + 12 - 6

x = 5p + 6

4 0
3 years ago
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