for #3:
a) 0.9
b) 0.4
c) 0.7
d) 0.08
e) 3.9
f) 1.6
g) 5.5
h) 12.4
And for #4:
The answer is $131.63
Nathan earns 9.75 dollars in <u>one</u> hour, and you want to figure out how many he makes in <u>thirteen and a half</u> hours. To do this, just multiply 9.75 by 13.5.
9.75*13.5 is 131.625. However, money only goes to the hundredths place, which means there are only 2 decimal places. This means you should <u>round 131.625 to the hundredths place</u>, which makes 131.63.
Answer:
Width of the arch = 105 m
Step-by-step explanation:
Function representing the width of the arch,
f(x) = -0.016(x - 52.5)² + 45
where x = width of the base of the arch or horizontal distance from arch's left end
f(x) = vertical distance of the arch
From the given quadratic function, vertex of the parabola is (52.5, 45).
Coordinates of the vertex represents,
Height of the arch = 45 m
Half of the horizontal distance from the left end = 52.5 m
Therefore, width of the bridge = 2(Half the width of the bridge from left end) = 2×52.5
= 105 m
Therefore, given bridge is 105 m wide.
For the element to be congruent only rotations, reflections or translations are allowed to be applied
1)
(x, y) → (x, –y)=reflection
(x, y) → (x + 5, y)=translation
(x, y) → (–x, y)=reflection
->is congruent
2)
(x, y) → (x + 1, y)=translation
(x, y) → (–x, –y)=reflection
(x, y) → (2x, y)=scaling->can't be congruent
3)
(x, y) → (0.5x, 0.5y)=scaling->can't be congruent
(x, y) → (x, –y)
(x, y) → (x, y + 8)
4)
(x, y) → (x – 4, y)=translation
(x, y) → (x, y + 3)=translation
(x, y) → (3x, 3y)=scaling->can't be congruent
so 1) is the only series of transformations with a congruent solution
The volume of the rectangular prism is 1 
, If the rectangular prism have a length of 2 inches, a width of 1 inch, and a height of 1/2 inch.
Step-by-step explanation:
The given is,
Let, l - Length of the rectangular prism
w - Width of the rectangular prism
h - Height of the rectangular prism
Step:1
From the given,
l - 2 inches
w - 1 inch
h - 
inch
Step:2
Formula for the volume of a rectangular prism is,
Substitute the values of the w, h and l
= ( 1 × × 2 )
= 1
V = 1
Result:
Thus the volume of the rectangular prism is 1 , for the given rectangular prism have a length of 2 inches, a width of 1 inch, and a height of 1/2 inch.
Answer:
<em>Correct answer is C. -41</em>
Step-by-step explanation:
Theory:
Number + Additive inverse = 0
Therefore, Addictive inverse of 41 is
Additive inverse + 41 = 0
Additive inverse = -41
Correct answer is C. -41
