We can see from the diagram that the length of the rectangle is 2 lots of the radius of one quarter circle. The width is made up of one radius, therefore the width is half of the length.
This means that the width of the rectangle is 9cm, and the radius of each quarter circle is 9cm.
To find the shaded area, we find the area of the rectangle and subtract from the areas of each circle, which are equal:
A = lw - 1/2(pi x r^2)
A = 9 x 18 - 1/2(81pi)
A = 162 - 81/2 pi
A = 34.8cm (3sf)
Answer:
Plan B
Step-by-step explanation:
Let's calculate the amount required for each plan
<h3>Plan A</h3>
- 0.15*200 + 0.10*100 = $40
<h3>Plan B</h3>
- 15 + 200*0.05 + 100*0.05 = $30
As we see Plan B costs less
Answer:
$3600 per year into savings
Step-by-step explanation:
He makes 1500 dollars a month
1/5 of that goes into saving
1/5*1500 = 300
300 per month goes into savings
We want to know how much goes into savings per year
There are 12 months in a year, so we need to multiply by 12
300 per month * 12 months/ year = 3600 per year
$3600 per year into savings
Explanation:
1) sin(37º)=x/10.3————>trigonometric ratio (sine)
2)7²+10²=c²—————-> pythagorean theorem
3) using sine—————> sin(51º)=9/x
using tangent —————> tan(51º)=9/x and x = 7.3 (rounded)
4)using pythagorean theorem————> 6²+7²=c²
angle b is tanx=6/7 where x = 40.6 degrees, angle a is tanx=7/6 where x = 49.4
Answers:
1)x= 6.2
2)x= 12.2
3)x= 11.6 (rounded)
4)x= 9.2
credit to <u>genan</u> for question 3 and 4
ur welcome :)
correct me if im wrong
brainliest please?
The pattern is:
( a - b )² = a² - 2 a b + b² ( square of last term of binomial - the missing term)
x² - 2 · 8 · x + 8² = x² - 16 x + 64 = ( x - 8 )²
The missing term is: 64
