Answer:
Refer to the picture above
As x and y vary directly then <span>x∝y</span> i.e. <span>x=ky</span>, where k is a constant.
When <span>x=24</span>, <span>y=8</span> i.e. <span>24=k×8</span> and therefore
<span>k=<span>248</span>=3</span>
and relation between x and y is hence <span>x=3y</span>
and when <span>y=9</span>, <span>x=3×9=27</span>.
I hope this is what you're looking for.
Area of the pentagon: 342 cm2
Step-by-step explanation:
The figure of the pentagon is missing: find it in attachment.
The area of the pentagon can be seen as the area of 5 equal triangles, each of them having a base equal to the length of the side of the pentagon,
L = 14.1 cm
and the height of each triangle can be found by using Pythagorean's theorem:

The area of each of the 5 triangles is

Therefore, the area of the pentagon is 5 times this area:
Learn more about area of regular figures:
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<h3>
<u>Answer:</u></h3>
52.38 inch² & 261.90 inch²
<h3>
<u>Step-by-step explanation:</u></h3>
Here we need to find the area of the sector . So according to formula we know the area of sector as ,
Here we can see that the central angle subtended by the arc is 60° and the radius of the circle is 10 inches . So the required area would be ,
=> Area = ∅/ 360° × π r²
=> Area = 60°/360° × 22/7 × (10in.)²
=> Area = 1/6 * 22/7 * 100 in²
=> Area = 52 .380 in²
<h3>
<u>★</u><u> </u><u>Hence </u><u>the </u><u>area </u><u>o</u><u>f </u><u>the </u><u>red</u><u> </u><u>sector </u><u>is </u><u>5</u><u>2</u><u>.</u><u>3</u><u>8</u><u> </u><u>inch²</u><u>.</u></h3>
<u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u>
Now let's find out the area of blue sector .The angle subtended by the arc will be (360-60)°=300° .
=> Area = 300/360 × 22/7 × 100 in²
=> Area = 261. 90 in²
<h3>
<u>★</u><u> </u><u>H</u><u>ence </u><u>the </u><u>area </u><u>of </u><u>blue </u><u>sector </u><u>is </u><u>2</u><u>6</u><u>1</u><u>.</u><u>9</u><u>0</u><u> </u><u>inch</u><u>²</u><u>.</u></h3>


A graph is translated according to the following rule. Describe the translation.
<span>(x, y) → (x, y +3) </span>
<span>B. The graph is translated 3 units up. ..............ANS </span>
<span>----------------------- </span>
<span>Translate the graph according to the rule (x, y) → (x, y + 4) </span>
<span>Option D.........................ANS </span>
<span>------------------------------ </span>
<span>f(x) is shown in black and g(x) is shown in red. </span>
<span>Which is a coordinate rule for the translation of f(x) to g(x)? </span>
<span>A. (x, y) → (x – 5, y) ........................ANS</span>