Answer:
A ≈ 43.3 cm²
Step-by-step explanation:
the area (A) of an equilateral triangle is calculated as
A = 
( s is a side of the triangle )
given perimeter = 30 cm , then
s = 30 cm ÷ 3 = 10 cm
then
A = 
= 
= 25
≈ 43.3 cm² ( to the nearest tenth )
Answer:
d. 944 mm^3
Step-by-step explanation:
The area of a circle is given by ...
A = πr² . . . . . where r is the radius, half the diameter
The area of a circle with diameter 9 mm is ...
A = π(4.5 mm)² = 20.25π mm²
The area of the semi-circular end of the prism is half this value, or ...
semicircle area = (1/2)(20.25π mm²) = 10.125π mm² ≈ 31.809 mm²
__
The area of the rectangular portion of the end of the prism is the product of its width and height:
A = wh = (9 mm)(6 mm) = 54 mm²
Then the base area of the prism is ...
base area = rectangle area + semicircle area
= (54 mm²) +(31.809 mm²) = 85.809 mm²
__
This base area multiplied by the 11 mm length of the prism gives its volume:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the composite figure is about 944 mm³.
Formula for Diameter: <span>2 x radius
Formula for Radius: R= C/2(pi)</span>
R= 176/2(22/7)
R=28.01
2(28.01)=56.02
Answer= 56.02
Answer:
x = 35°
Step-by-step explanation:
These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.
These angles are congruent, so you can set them equal to each other:
Then, just solve for x:
You can check that by plugging it back into both:
Answer:
Step-by-step explanation:
5
3 _
18
