Answer:
w = 5
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w)
28 = 2(2w-1 + w)
Combine like terms
28 =2(3w-1)
Divide each side by 2
28/2 = 2/2(3w-1)
14 = 3w-1
Add 1 to each side
14+1 = 3w-1+1
15 = 3w
Divide each side by 3
15/3 =3w/3
5 =w
Answer:
<h2>54m²</h2>
Step-by-step explanation:
<h3>METHOD 1:</h3>
You can use the Heron's formula:
where
<em>p</em><em> - half of perimeter</em>
<em>a, b, c</em><em> - lengths of sides</em>
We have
Calculate:
<h3>METHOD 2:</h3>
Let's check that it is not a right triangle.
If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.
We have
Check:
This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.
The formula of an area of a right triangle is:
<em>a, b</em><em> - legs</em>
Substitute:
Total points : 46
15% of 40 is 6
40 + 6 = 46
To double check:
46/40 = 1.15 = 115%
A=pie×radius squared is the area formula of a circle. The circumference formula or a circle is C=pie×diameter. 615.75=(3.14)(radius) squared. Divide both sides by the 3.14. What ever 615.75 divided by 3.14 is-is radius squared. The square root is your radius. The radius is half the diameter, so double what you have right now as the radius to get the diameter. Now since C=pie×diameter, your circumference is your pie×your diameter. Whatever your answer is-is your circumference.
Answer:
C. 95°
Step-by-step explanation:
Sumplementary angles sum 180°
144° + a = 180°
a = 180° - 144°
a = 36°
121° + b = 180°
b = 180° - 121°
b = 59°
The sum of internal angles of a triangle is 180°
a + b + c = 180°
36° + 59° + c° = 180°
c° = 180° - (36°+59°)
c° = 180° - 95°
c° = 85°
then:
c + n = 180°
85° + n = 180°
n = 180° - 85°
n = 95°
