Answer:
21:A 22:D
Step-by-step explanation:
hope that helps
Answer:
the answer is C. 210 sq. cm
Step-by-step explanation:
Find the area of the triangle
The area of one of the triangular faces can be found by using the formula below.
a = 1/2 bh
a = 1/2 (5 cm) (12 cm)
a = 30 sq. cm
Since there are two triangular faces, multiply the area of one triangular face by 2. The area of two triangular faces is 60 cm2.
Next, find the area of each of the three rectangular faces using the formula, area = lw.
1st rectangle
a = lw
a = (5 cm) (5 cm)
a = 25 sq. cm
2nd rectangle
a = lw
a = (5 cm) (12 cm)
a = 60 sq. cm
3rd rectangle
a = lw
a = (5 cm) (13 cm)
a - 65 sq. cm
Add the three rectangle areas to find a total of 150 sq. cm.
To find the surface area of the triangular prism, add the area of the two triangular faces to the area of the three rectangular faces.
60 sq. cm + 150 sq. cm = 210 sq. cm
Answer:
a) 0.012ft³
b)2.09 lb
c)0.791 lb
d) 0.012ft³
e) 6 inches
Step-by-step explanation:
a) To determine the volume of the shell of the jar we must determine the volume of the hollow cylinder:
Where r is the inside radius and R the outer radius.
convert to cubic ft:
The volume of the glass shell is 0.012 ft³
b) The weight of the cylinder can be determined because we have the volume and the density. Weight is defined as the product of volume and density:
The weight of the jar is 2.09 lb
c) The displacement of water is just the density of water mutliplied by the volume of the jar:#
0.791 lb of water will be displaced.
d) The volume of the water displaced is:
[tex]=0.791/62.5=0.01266
e) The jar will be fully submerged because the density of the jar is larger than water.
Answer:
a: 3
b. 6973568802
Step-by-step explanation:
a₁ = 6 , r = 3 , a₂₀ =?
Result:
a₂₀ = 6973568802
Explanation:
To find a₂₀ we use the formula
aₙ = a₁ · r
^ⁿ⁻¹
In this example we have a₁ = 6 , r = 3 , n = 20. After substituting these values to above
formula, we obtain:
aₙ = a₁ · r
^ⁿ⁻¹
a₂₀ = 6 · 3
^²⁰⁻¹
a₂₀ = 6 · 1162261467
a₂₀ = 6973568802
Answer:
y=2x+4
Step-by-step explanation:
