All categories

3 years ago

The area of triangle ABC is 31 1/4 square centimeters. What is the measure of side b?

Mathematics

1 answer:

zhuklara [117]3 years ago

3 0

Answer:

5/ sqrt2

Step-by-step explanation:

A=b.a.SinC

You might be interested in

1. Solve the equation using the zero-product property.<br> -x(5x – 4) = 0

Oxana [17]

Answer:

x = 0, 4/5

Step-by-step explanation:

The zero-product property states that if the product of a and b is zero, then either a = 0, b = 0, or both terms equal zero

Here our a term is -x and our b term is (5x - 4)
Setting each term equal to zero and solving for x we get
-x = 0 → x = 0
5x - 4 = 0 → 5x = 4 → x = 4/5

6 0

3 years ago

DIscrete Math

Daniel [21]

Answer:

Step-by-step explanation:

As the statement is ‘‘if and only if’’ we need to prove two implications

$f : X \rightarrow Y$ is surjective implies there exists a function $h : Y \rightarrow X$ such that $f\circ h = 1_Y$ .
If there exists a function $h : Y \rightarrow X$ such that $f\circ h = 1_Y$ , then $f : X \rightarrow Y$ is surjective

Let us start by the first implication.

Our hypothesis is that the function $f : X \rightarrow Y$ is surjective. From this we know that for every $y\in Y$ there exist, at least, one $x\in X$ such that $y=f(x)$ .

Now, define the sets $X_y = \{x\in X: y=f(x)\}$ . Notice that the set $X_y$ is the pre-image of the element $y$ . Also, from the fact that $f$ is a function we deduce that $X_{y_1}\cap X_{y_2}=\emptyset$ , and because $f$ the sets $X_y$ are no empty.

From each set $X_y$ choose only one element $x_y$ , and notice that $f(x_y)=y$ .

So, we can define the function $h:Y\rightarrow X$ as $h(y)=x_y$ . It is no difficult to conclude that $f\circ h(y) = f(x_y)=y$ . With this we have that $f\circ h=1_Y$ , and the prove is complete.

Now, let us prove the second implication.

We have that there exists a function $h:Y\rightarrow X$ such that $f\circ h=1_Y$ .

Take an element $y\in Y$ , then $f\circ h(y)=y$ . Now, write $x=h(y)$ and notice that $x\in X$ . Also, with this we have that $f(x)=y$ .

So, for every element $y\in Y$ we have found that an element $x\in X$ (recall that $x=h(y)$ ) such that $y=f(x)$ , which is equivalent to the fact that $f$ is surjective. Therefore, the prove is complete.

3 0

3 years ago

Convert 19 over 2 to a decimal using long division.

vampirchik [111]

19/2 = 19 divided by 2 = 9.5

Hope this helped.

5 0

3 years ago

Read 2 more answers

Need help with what the answer to this question is

levacccp [35]

The answer is C
C has units of Markers / Markers on the left and Money over an unknown which represents money.

None of the others (D) is incorrect, because we've already chosen C.

A is not because.you have the wrong amount of money divided by the larger number of makers.

B does not work because the right is markers divided by money. The left had side will have money divided by markers. It won't work. The safest way to these questions up is to keep the knows on the left and put the unknown on the left with the number it is associated with.
Let's see why the others don't work.

5 0

3 years ago

Help me out please I don’t understand?

zepelin [54]

Answer:

ya i dont either

Step-by-step explanation:

6 0

3 years ago