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Alex17521 [72]
3 years ago
12

Area of rectangle 3ft by 3/10 ft

Mathematics
1 answer:
Anna [14]3 years ago
6 0

Answer:

The area of the rectangle is \frac{9}{10} feet.

Step-by-step explanation:

To find the area of a rectangle you multiply the base by the height:

\frac{3}{10} *3

\frac{9}{10}

The area of the rectangle is \frac{9}{10} feet.

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Factor the trinomial below x^2+7x-30
Triss [41]

Answer:

(x + 10)(x - 7)

Step-by-step explanation:

It is 3 and 10 in some order. The difference is 7 and it is plus, so the larger number is +10 and the smaller one - 3

(x + 10)(x - 3) should be the answer

10x - 3x = 7x

5 0
4 years ago
Pedro can drive 2 times as fast as Pablo can ride his bicycle. If it takes Pablo 2 hours longer than Pedro to travel 72 miles, h
galben [10]

Pablo can ride his bicycle with speed of 18 miles per hour

<u>Solution:</u>

Given, Pedro can drive 2 times as fast as Pablo can ride his bicycle.  

Let the speed of Pablo be "n" miles per hour

Then the speed of the Pedro will be "2n" miles per hour

Now, If it takes Pablo 2 hours longer than Pedro to travel 72 miles,  

We have to find how fast can Pablo ride his bicycle?

<em><u>The formula for speed is given as:</u></em>

\text { distance }=\text { speed } \times \text { time }

Let the time taken by Pedro to travel 72 miles be "t" hours, then time taken by Pablo will be "t + 2" hours

<em><u>In case of Pablo:</u></em>

\begin{array}{l}{72 \text { miles }=\text { speed } \times (t+2) \text { hour }} \\ {\rightarrow 72=n \times(t+2) \rightarrow(1)}\end{array}

<em><u>In case of Pedro:</u></em>

\begin{array}{l}{72 \text { miles }=\text { speed } \times \text { thours }} \\ {\rightarrow 72=2 n \times t \rightarrow(2)}\end{array}

Then, equate both (1) and (2)

\begin{array}{l}{n \times(t+2)=2 n \times t} \\\\ {\rightarrow t+2=2 \times t} \\\\ {\rightarrow t+2=2 t} \\\\ {\rightarrow 2 t-t=2} \\\\ {\rightarrow t=2}\end{array}

Now, substitute t = 2 in (2)

\begin{array}{l}{\rightarrow 72=2 n \times 2} \\\\ {\rightarrow 72=4 n} \\\\ {\rightarrow n=18}\end{array}

Hence, the speed of Pablo is 18 miles per hour.

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Answer:

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Step-by-step explanation:

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Point A on the graph is rational because the square root of 2.25 is 1.5, which is where point A is located, meaning that point A is is representing a rational number.

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Which of the following expressions is equivalent to
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\frac{1}{2}y^2 (6x + 2y+12x-2y)\\\\= \frac{1}{2}y^2 (18x)\\\\=9xy^2

<span>A) 9xy²</span>
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