Answer:
13. B. 24 cm²
14. y = 5⅝ (none of the options is correct)
Step-by-step explanation:
13. The figure is a trapezoid
Area of the trapezoid = ½(a + b)h
Where,
a = 3 cm
b = 5 cm
h = 6 cm
Area = ½(3 + 5)6
= ½(8)6
= 4*6
= 24 cm²
14. Area of the triangle = ½*b*h
The area is given to be 45 cm²
base (b) = 16 cm
height (h) = y
Plug in the values and solve for y
45 = ½*16*y
45 = 8y
Divide both sides by 8
45/8 = 8y/8
45/8 = y
5⅝ = y
y = 5⅝ (none of the options is correct)
Answer:
9.4
Step-by-step explanation:
We can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2+8^2 = c^2
25 +64 = c^2
89 = c^2
Taking the square root of each side
sqrt(89) = sqrt(c^2)
9.433981132 = c
To the nearest tenth
9.4
Answer:
See the attachment
Step-by-step explanation:
The inequalities resolve to ...
x ≥ 1 or x ≤ -3
You have chosen the correct placement of the lines on the number line. The "or equal to" symbol (≥ or ≤) means the dots at -3 and +1 are filled in, indicating those numbers are part of the solution.
If the ">" or "<" symbol is used in the inequality, the dot is left open, as in the answer you selected. The open dot indicates that value is not part of the solution set.
Answer:
Yes.
Step-by-step explanation:
If a graph G doesn't have a circuit, we must have that

where
is the number of edges of the graph and
the number of vertices. However, in this case it holds that

Answer:
6^5
Step-by-step explanation:
add them up and put as exponent