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tatiyna
3 years ago
6

PLEASE HELP 40 POINTS Find the value of x in the triangle shown below.

Mathematics
1 answer:
algol133 years ago
5 0
Answer would be x=15

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What is the factorization of the trinomial below?
dolphi86 [110]

4x^2+28x + 48=\\4(x^2+7x+12)=\\4(x^2+3x+4x+12)=\\4(x(x+3)+4(x+3))=\\4(x+3)(x+4)

6 0
3 years ago
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Find the area of the shape shown below.
vlabodo [156]

Answer:

6cm^{2} (assuming the units is in centimetres)

Step-by-step explanation:

Hi, hope this helps!

Method 1:

Calculate this shape as a trapezium. This is a trapezium because it has one pair of parallel sides. The way to calculate the area of a trapezium is this:

- Half the sum of the parallel sides

- Multiply the perpendicular height between them

In this case, 4 and 2 are parallel, so we add them together (4 + 2 = 6) then we divide by two (6 ÷ 2 = 3). Then we multiply our answer by the perpendicular length between the two parallel sides (assuming the side on the left is at a right-angle, 3 x 2 = 6).

Method 2:

Calculate this shape as a rectangle + a triangle. If you split the shape so the pointy bit on the right becomes a triangle and the left becomes a square, you can calculate the area without knowing the formula for calculating a trapezium (see above ^).

- Area of the square / rectangle = length x width = 2 x 2 = 4

- Area of the triangle = 1/2 x length x width = 2 x 2 x 1/2 = 4 x 1/2 = 4 ÷ 2 = 2

Then we add the two areas together (4 + 2 = 6).

I hope this helped and I wasn't waffling on :)

Bluey

8 0
3 years ago
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How many years (to two decimal places) will it take $15000 to grow to $17500 if it is invested at 8% compounded semi- annually?
VLD [36.1K]

Answer:

1.97 years

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.08/2)] )

t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.04)] )

t = 1.965 years

:D

3 0
3 years ago
A small school has 42 boys. If the ratio of boys to girls is 7 : 1, how many, students are?
babunello [35]
There are a total of 48 students. Being 42 boys as mentioned earlier and 6 girls total attending too.

Please vote my answer brainliest! Thanks.
8 0
3 years ago
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2.<br> A line goes through the points (0, 10) and (-1, 1).<br> 2a<br> What is the slope of the line?
sashaice [31]

Answer:

9

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

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   = -9/-1

   = 9

6 0
3 years ago
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