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Nadya [2.5K]
3 years ago
9

You travel 243 miles in 4.5 find the speed you travel.​

Mathematics
2 answers:
vivado [14]3 years ago
7 0

Answer:

Step-by-step explanation:

Distance=243 miles

Time=4.5 sec

<em><u>Speed= Distance/time</u></em>

Speed=243/4.5

<u>Speed=54 miles/hours</u>

<u />

<u>If you need to ask any questions, please let me know.</u>

natima [27]3 years ago
3 0

Answer:

his is 234/4.5 and the units are miles/hr, which is a unit of speed

=52 mph

Step-by-step explanation:

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A rectangular plot of land has an area of 9/10 square mile. The length is 3/2 miles. What is the width?​
jek_recluse [69]

Answer:

\frac{3}{5}

Step-by-step explanation:

The question is simple. All we have to do is divide \frac{9}{10} by \frac{3}{2}. The answer to that is \frac{3}{5}.

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3 years ago
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vesna_86 [32]

Answer:

m\angle y=35.69^o

Step-by-step explanation:

The picture of the question in the attached figure

we know that

In the right triangle of the figure

sin(y)=\frac{7}{12} ----> by SOH (opposite side divided by the hypotenuse)

using a calculator

m\angle y=sin^{-1}(\frac{7}{12})=35.69^o

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3 years ago
Given the inequality of x &lt; 5, select all the
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Nxnxnxbbxnxndnnsnsn nsnsnsndnnsndnndndnsndnndndnndnd
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3 years ago
<img src="https://tex.z-dn.net/?f=6%20%5Cdiv%20131.4" id="TexFormula1" title="6 \div 131.4" alt="6 \div 131.4" align="absmiddle"
Svetradugi [14.3K]

Answer: 21.9

131.4 divided by 6

4 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

  1. f : X \rightarrow Y is surjective implies there exists a function h : Y \rightarrow X such that  f\circ h = 1_Y.
  2. 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
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