Answer:
21.42x+28.56
Step-by-step explanation:
Expand: 4.2×5.1×x+4.2×6.8
4.2×5.1×x to (21.42)x
Simplify: 21.42x+4.2×6.8
4.2×6.8 = 28.5628.56
21.42x+28.56
Answer:
m ≤ 250
(where m is miles)
Step-by-step explanation:
He can go a maximum of 250 miles on a tank of gas (25 miles per gallon * 10 gallons), and this can be expressed as follows:
m ≤ 250
Answer:
11). x = 25.8°
12). x = 67.3°
Step-by-step explanation:
11). By using sine rule in the given triangle,
cos(x) = 
cos(x) = 
x = 
x = 25.84
x ≈ 25.8°
12). By applying tangent rule in the given triangle,
tan(x) = 
tan(x) = 
x = 
x = 67.29°
x ≈ 67.3°
The lateral area would be 298.7 cm².
The lateral area is the area of all of the lateral faces of the pyramid. There are 8 triangles making up the lateral faces. Each has a base of 6.6. The formula for the area of a triangle is
A=1/2bh,
so we still need the height of the triangle.
The height of each lateral triangle is the slant height of the pyramid. The slant height of the pyramid forms a right triangle with the height of the pyramid and the "radius" as it were of the pyramid. Thus we use the Pythagorean theorem:
8²+8²=h²
64+64=h²
128=h²
√128=√(h²)
8√2 = h
Substituting this into our area formula we have:
A=1/2(6.6)(8√2)
We will go ahead and multiply this by 8, since there are 8 lateral faces:
LA=8(1/2)(6.6)(8√2)
LA = 298.7
Answer:
C. 4m + 3 > 75
Step-by-step explanation:
There is only one private chef's table so this remains constant at 3. There are m number of tables that will seat 4 people so 4 is multiplied by m.
