Answer:
22in²
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Circumference = 25 (1/7)
As we know,
Circumference of a circle = 2πr
By solving this we get
Radius (r) = 4in
Now. we can calculate the area by using following formula,
Area = πr²
By putting the value, we get
Area = (22/7) × 4²
= 22/7 × 16
= 352÷16
Area = 22in²
Answer:
about 77 cm^2
Step-by-step explanation:
From 3 sides, the area of a triangle is conveniently calculated using Heron's formula:
A = √(s(s -a)(s -b)(s -c))
where s is the semi-perimeter: s = (a+b+c)/2.
For the given values of a, b, c, we have ...
s = (a+b+c)/2 = (18 +11 +14)/2 = 21.5
A = √(21.5·3.5·10.5·7.5) = √5925.9375
A ≈ 76.9801 . . . cm^2
The area is about 77 square centimeters.
Answer:
$238.33
Explanation:
Assume that the amount you need to save per month is x.
You will be saving monthly for 12 years. This means that the amount you will save after 12 years is:
amount saved after 12 years = 12 * 12 * x = 144x
Now, you need to save 20% of $<span>171,600.00. We will first need to calculate this value.
20% of $</span>171,600.00 = 0.2 * <span>171,600.00 = $34320
Now, to know your monthly savings, equate the total amount saved in 12 years with the amount that needs to be saved and solve for x as follows:
144x = 34320
x = 34320 / 144
x = 238.33
This means that, to meet your goal, you need to save $238.33 monthly for 12 years.
Hope this helps :)</span>
Answer:
3) 
4) a) 
b) 
Step-by-step explanation:
<u>Exercise 3</u>
<u>Exercise 4</u>
a) If L2 is parallel to L1, it has the same slope (gradient) ⇒ 
If L2 passes through point (3, 1):
So L2 = L1
b) If L3 is perpendicular to L1, then the slope of L3 is the negative reciprocals of the slope of L1 ⇒ 
If L3 passes through point (-5, 2):
Answer:
C
Step-by-step explanation:
