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gtnhenbr [62]
3 years ago
9

Work out the lengths of sides a and b. Give your answers to 1 decimal place. 8 cm 5 cm

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer:

Step-by-step explanation:

a = \sqrt{8^{2} + 5^{2}} = \sqrt{64+25} = \sqrt{99} = 9.9

b = \sqrt{17^{2} - 12^{2}} = \sqrt{289-144} = \sqrt{145} = 12

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A bag contains n blue and m red marbles. You randomly pick a marble from the bag, write down its color, and then put the marble
Oksana_A [137]

Answer:

(mn+n²)/(m+n)

Step-by-step explanation:

probability of blue marble= n/(n+m)

probability of red marble= m/(n+m)

probability that process stops = Probability of both blue + probability of both red=  n/(n+m) × n/(n+m) + m/(n+m)×m/(n+m)

                        = (n²+m²)/(n+m)²

P(1st marbel is blue)= P(blue and red) + P(blue and blue)

                                  = mn/(n+m) + n²/(n+m)

                                   = (mn+n²)/(m+n)

P(1st marble is blue | process stops)= ( (mn+n²)/(m+n)× (n²+m²)/(n+m)²)/ ((n²+m²)/(n+m)²)

= (mn+n²)/(m+n)

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3 years ago
The length of a rectangle is 3 less than twice the width. Write a function rule for the perimeter in terms of w, the width
Nitella [24]

l = 2w-3

P = 2(l+w)

substitute in for l

P = 2(2w-3 +w)

combine like terms

P = 2(3w-3)

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P(w) = 6(w-1)


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2 years ago
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Sarah buys 2 candy bars for $1.45. how much would one candy bar cost
sattari [20]
2 = $1.45
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3 years ago
Hi can someone help me by explaining how to do inverse operations? I need the operations for base and lenght
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Write an equation of the line that is perpendicular to 2x + 4y = 6 and passes through the point (6, 4) ). es A ) y = 2x + 4 B) y
netineya [11]

Answer:

B - y = 2x - 8

Step-by-step explanation:

Step 1: find slope

2x + 4y = 6

4y = -2x + 6

Make y the subject of the formula

y =( -2x + 6)/4

We can separate to get the slope

y = -2x/4 + 6/4

y = -x/2 + 3/2

Slope m = -1/2

Step 2: using a point slope form equation

y - y1 = m ( x - x1)

Note: if two lines are perpendicular to the other, it is always a negative reciprocal of each other

ie m = 2

Substitute m into the equation

y - y1 = 2(x - x1)

Step 3: sub the point

( 6 , 4)

x1 = 6

y1 = 4

y - 4 = 2( x - 6)

Step 4 : using a slope intercept form equation

Open the bracket

y - 4 = 2x - 12

y = 2x - 12 + 4

y = 2x - 8

The equation of a line is

y = 2x - 8

5 0
3 years ago
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