Answer:
(x - 2)² + (y - 6)² = 49
Step-by-step explanation:
Equation of a circle formula: (x - a)² + (y - b)² = r²
where (a, b) is the center of the circle and r is the radius
Given, center = (2, 6) and radius = 7
Substitute this information in the equation of a circle formula.
⇒ Equation of the circle: (x - 2)² + (y - 6)² = 49
Answer:
Yes
Step-by-step explanation:
0s after all the decimals do not count
<em>The answer is 10:7, 10/7, 10 to 7. Whichever it's asking for. As long as you know the ratio is 10 rock songs to 7 country songs.
</em><em /><u>
</u><em />This problem can be a simple fraction simplification problem. Here's what I mean:
<em>
</em><em />So, we have 40 rock songs and 28 country songs. Let's put that into a fraction:
<em>
</em>
<em>
</em>To simplify this as much as possible, all we have to do is find the greatest common multiple and divide it by both numbers. the GCF is 4, so all you have to do is divide 40 by 4 and 28 by 4 to get your ratios.
<em>
I hope this helped!!
</em>
Answer:
Given A triangle ABC in which
∠C =90°,∠A=20° and CD ⊥ AB.
In Δ ABC
⇒∠A + ∠B +∠C=180° [ Angle sum property of triangle]
⇒20° + ∠B + 90°=180°
⇒∠B+110° =180°
∠B =180° -110°
∠B = 70°
In Δ B DC
∠BDC =90°,∠B =70°,∠BC D=?
∠BDC +,∠B+∠BC D=180°[ angle sum property of triangle]
90° + 70°+∠BC D =180°
∠BC D=180°- 160°
∠BC D = 20°
In Δ AC D
∠A=20°, ∠ADC=90°,∠AC D=?
∠A + ∠ADC +∠AC D=180° [angle sum property of triangle]
20°+90°+∠AC D=180°
110° +∠AC D=180°
∠AC D=180°-110°
∠AC D=70°
So solution are, ∠AC D=70°,∠ BC D=20°,∠DB C=70°