Given is a composite figure where we have a semicircle and a triangle.
To find the area of the semicircle, we need diameter of the circle which is the distance between two given points (2,4) and (2,-3). So the diameter is 4-(-3) = 7 and radius would be 3.5 units.
Area of circle = π·r² = 3.14 × (3.5)² = 38.465
squared units.
So, area of semicircle = 38.465 ÷ 2 = 19.2325
squared units.
To find the area of the triangle, we need base and height of the triangle. The base is same as diameter = 7 and the height would be distance between given point (5,0) and (2,0), so height is 5-2 = 3.
Area of triangle 1/2 * 7 * 3 = 10.5
squared units.
Total area = Area of triangle + Area of semicircle = 10.5 + 19.2325 = 29.7325 squared units.
So, final answer is 29.7325 squared units.
Answer:
Inequality Form:
p > -3
Hope this helps!
Step-by-step explanation:
6p - 5p is 1p but you only but p and -3 stays there.
<u><em>Answer: x=-25 and -25=x *The answer should be the negative sign.*</em></u>
Step-by-step explanation:
distributive property: a(b+c)=ab+ac
multiplication property of equality is multiplying both sides of an equation by the same number does not change the equation.
multiply by -5 both sides of an equation.
(-2/5x)(-5)=10(-5)
simplify by equation.
2x=-50
divide by 2 both sides of an equation.
2x/2=-50/2
simplify by equation.
50/2=25
25*2=50
50/25=2
It changes positive to negative.
x=-25 and -25=x
Hope this helps!
Thanks!
Have a great day!
Answer:
x = -17/5
Step-by-step explanation:
Subtract 7 from both sides
5x= -10-7
Simplify -10 - 7 to -17
5x = -17
Divide both sides by 5
x= -17/5
Decimal Form: -3.4
Answer:
d ≈ 21.26 units
Step-by-step explanation:
calculate the distance d using the distance formula
d =
with (x₁, y₁ ) = (- 3, 8 ) and (x₂, y₂ ) = (13 - 6 )
d =
=
=
=
=
≈ 21.26 units ( to 2 dec. places )