The linear equation was solved using these steps. Linear equation: 1 3 (12x + 15) = 7 Step 1: 4x + 5 = 7 Step 2: 4x = 2 Step 3:
2 answers:
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The side lengths could be 10, 24 and 26 units.
We must first find the side lengths. We use the distance formula to do this.
For RT:
For ST:
For TR:
Our side lengths, from least to greatest, are 5, 12 and 13.
To be similar but not congruent, the side lengths must have the same ratio between corresponding sides but not be the same length. 10, 24 and 26 are all 2x the original side lengths, so this works.
We must first find the side lengths. We use the distance formula to do this.
For RT:
For ST:
For TR:
Our side lengths, from least to greatest, are 5, 12 and 13.
To be similar but not congruent, the side lengths must have the same ratio between corresponding sides but not be the same length. 10, 24 and 26 are all 2x the original side lengths, so this works.
Answer:
<h3>- The ratio of the measure of central angle PQR to the measure of the entire circle is One-eighth. </h3><h3>- The area of the shaded sector depends on the length of the radius. </h3><h3>- The area of the shaded sector depends on the area of the circle</h3>Step-by-step explanation:
Given central angle PQR = 45°
Total angle in a circle = 360°
Ratio of the measure of central angle PQR to the measure of the entire circle is . This shows ratio that <u>the measure of central angle PQR to the measure of the entire circle is one-eighth</u>.
Area of a sector =
= central angle (in degree) = 45°
r = radius of the circle = 6
Area of the sector
<u>The ratio of the shaded sector is 4.5πunits² not 4units²</u>
From the formula, it can be seen that the ratio of the central angle to that of the circle is multiplied by area of the circle, this shows <u>that area of the shaded sector depends on the length of the radius and the area of the circle.</u>
Since Area of the circle = πr²
Area of the circle = 36πunits²
The ratio of the area of the shaded sector to the area of the circle =
For length of an arc
ratio of the length of the arc to the area of the circle =
It is therefore seen that the ratio of the area of the shaded sector to the area of the circle IS NOT equal to the ratio of the length of the arc to the area of the circle