<u>Given:</u><u> </u>
- Circle with radius 5cm and 3 cm
<u>To </u><u>Find</u><u>:</u><u> </u>
- How much bigger is the area of a circle.
<u>Solution:</u>
Area of circle with Radius 5cm
Area of circle = πr²
Area of circle = 22/7 × 5 × 5
Area of circle = 22/7 × 25
Area of circle = <u>78.54 </u><u>cm</u><u>²</u>
Now,
Area of circle with Radius 3 cm
Area of circle = 22/7 × 3 × 3
Area of circle = 22/7 × 9
Area of circle = <u>28.27 cm²</u>
= 78.54 - 28.27
= 50.27cm
Hence,
- <u>Area of circle is 50.27</u><u>c</u><u>m</u><u> more than that area of circle with radius 3cm</u>
That's far more problems than I usually accept in a single question, but since you're new and obviously a beginner, I'll try to help.
<span>To Increase an amount by 7% what single multiplier would you use </span>
<span>We want 7% more than 100% of the amount, so the multiplier is </span>
<span>(100% + 7%) = 107% = 1.07 </span>
<span>[Remember that "percent" means "per hundred," so we divide a percentage by 100 to get the numerical equivalent.] </span>
<span>To Decrease an amount by 7% what single multiplier would you use </span>
<span>We want 7% less than 100% this time, so the multiplier is </span>
<span>(100% - 7%) = 93% = 0.93 </span>
<span>5 ÷ 0.1 </span>
<span>= 50 </span>
<span>(To One Decimal Place) (0.3 x 2.8)Squared </span>
<span>[Notation: around here we usually write "squared" as ^2, where the ^ is an exponentiation sign.] </span>
<span>(0.3 x 2.8)^2 = 0.84^2 = 0.7056 </span>
<span>which is 0.7 when rounded to one decimal place. </span>
<span>6.38 + 4.52 ÷ 4.71 +9.53 </span>
<span>= 6.38 + (4.52 ÷ 4.71) + 9.53 [assuming operations in the usual order] </span>
<span>= about 6.38 + 0.96 + 9.53 </span>
<span>= 16.87 </span>
<span>Expand and Simplify </span>
<span>(x + 2)(x + 3) </span>
<span>= x^2 + 2x + 3x + 6 </span>
<span>= x^2 + 5x + 6 </span>
<span>Expand and Simplify </span>
<span>(x + 2)(x - 3) </span>
<span>= x^2 + 2x - 3x - 6 </span>
<span>= x^2 - x - 6 </span>
<span>x + 1 < 5 </span>
<span>x < 4 [subtracting 1 from both sides] </span>
<span>Make n the subject of the formula.... M=3n </span>
<span>3n = M </span>
<span>n = M/3</span>
Answer:
Step-by-step explanation:
Take 
and 
on the other side of the equal to sign:
Now solve for y:
Take 2 one the other side of the equation:
Hope this helps :)
We know that
a(n)=4n+1
To find the sum of the first n<span> terms of an arithmetic series
use the formula
</span><span><span>Sn</span>=<span>n(<span>a1</span> + <span>an</span>)/2
</span></span>a1--------------> is the first term
an--------------> is the last term
n--------------- > <span>is the number of terms
</span>we have that
a1------------> 4*(1)+1=5
a30----------> 4*(30)+1=121
n------------- > 30
S30=30*(5 + 121)/2=1890
the answer is 1890
