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3 years ago

96%

Mathematics

2 answers:

maw [93]3 years ago

4 0

Answer:

£930

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic. The annual earnings are expected to be 12 times the monthly earnings.

T = 0.2(12×£1375 -11850) = 0.2(£16500 -11850) = 0.2(£4650)

T = £930

The caterer will pay £930 in income tax for the year.

Scilla [17]3 years ago

4 0

Answer:

£930

Step-by-step explanation:

Monthly income = £1375

y = Yearly income = 12 × 1375 = £16 500

p = Personal allowance = 11 850

y - p = Taxable income = <u>£ 4 650 </u>

T = 0.2(y - p) = 0.2 × £4650 = £ 930

The income tax for the year will be £930.

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Dovator [93]

<h3>Answer: B) 2</h3>

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Explanation:

Take away the four white small squares on the left side. To balance things out, you have to add 4 black squares to the right side.

Also, take away the two white long rectangles from the right side. To balance this out, you have to add 2 gray long rectangles to the left side.

You should have:

5 gray rectangles, and no squares (of any color) on the left side
10 black squares, no long rectangles (of any color), on the right side

From here you'll group up the 10 black squares so that you'll have 2 black squares per gray rectangle.

This means the solution is 2.

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If you're curious about the algebraic way to solve, then you could do this:

3x-4 = -2x+6

3x+2x = 6+4

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This method doesn't require us to use the visual model.

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Firdavs [7]

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Step-by-step explanation:

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3 years ago

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4 years ago

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A rhombus has four 6-inch sides and two 120-degree angles. From one of the vertices of the obtuse angles, the two latitudes are

nikitadnepr [17]

Answer:

Area(A)=Area(C)= $9 in^{2}$

Area(B)= $13.2 in^{2}$

Step-by-step explanation:

We begin with finding the angles a and b that from the drawing attached you can see that a=b.

Now, the sum of the internal angles of a rhomboid is equal to 360 degrees, with that we have:

120+120+a+b=360

240+2a=360

2a=120

a=60=b

Next, in the image you can see that the lines coming from the angle at the top 120 degrees vertex, divide the opposite sides by half, thus making two triangles with one side of 6 in and another of 3 in.

We can say from the drawing as well:

Area(A)+Area(B)+Area(C)=Area(rhomboid)

But, we can also say that Area(A)=Area(C)

So, starting with Area(A)

Area(A)=Area(triangle)= $\frac{b*h}{2}$ = $\frac{6*3}{2}$ = $9 in^{2}$

We can then calculate the area B, a rhomboid, or better, take the Total area of the figure and subtract the area of the two triangles.

Area(B)=Area(rhomboid)-Area(A)-Area(C)

Area(rhomboid)=b*h where b=6in and h is the perpendicular distance from the base to the top.

$h=[tex]6*cos(30)=5.20in$ The 30 degrees come from: 120-30-60=30, since the latitudes split the 120 angle in two equal parts and one that is the half of the obtuse angle.

Area(rhomboid)=5.20*6= $31.2 in^{2}$

Area(B)=Area(rhomboid)-Area(A)-Area(C)= $31.2 in^{2}$ - $9 in^{2}$ - $9 in^{2}$ = $13.2 in^{2}$

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