<h3><u>x > -4 is the solution to this inequality.</u></h3>
30 > -6(2x + 3)
Distributive property.
30 > -12x - 18
Add 18 to both sides.
48 > -12x
Divide both sides by -12.
(Because we're dividing by a negative, the inequality sign flips.)
<h3><u>4- < x</u></h3>
Answer:
11700 mm²
Step-by-step explanation:
A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.
The horizontal distance of the rectangle = r + r + r + r = 4r
The vertical distance = r + h + r = 2r + h
Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.
Using Pythagoras:
(2r)² = h² + r²
h² + r² = 4r²
h² = 3r²
h = √3r²
h = r√3
Vertical distance = 2r + h = 2r + r√3
Area of rectangle = vertical distance * horizontal distance
Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)
Substituting:
Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²
Area = 11700 mm² to 3 s.f
Answer:
Here is your answer
Step-by-step explanation:
Solution,
here,
Base is 75 cm
Height is 12 cm
Now,
Area of triangle=1/2×b×h
=1/2×75×12
= 900/2
=450. ans
Confused on the question could I have a picture?
We calculate for the taxable income by subtracting the tax free allowance from the gross income.
Taxable income = Gross income - tax free allowanc
Taxable income = (£12,000 - <span>£6,475)
= </span><span>£5,525
Hence, the taxable income is equal to </span><span>£5,525.
Net income:
This would be equal to the gross income minus the amount of taxes to be paid.
Net income = Gross income - amount of tax to be paid
Net income = (</span><span>£12,000) - (0.20)($5,525)
Net income = $10,895
Therefore,
ANSWER: <em>$10,895</em></span>
