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Marizza181 [45]

3 years ago

12

A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sur

e to include the correct unit in your answer.

1 answer:

Tanzania [10]3 years ago

7 0

8-5 = 3, 6-4 = 2 so the sides of triangle are 3 and 2, now using the formula 1/2 *a * b we get 3*2/2 = 3 The answer is 45

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Solve the proof in question

Tom [10]

You can use a protractor to solve for the angles

7 0

3 years ago

How many different ways can the letters of “football” be arranged

makvit [3.9K]

<h3>Answer: 10,080</h3>

Explanation:

There are 8 letters so there are 8! = 8*7*6*5*4*3*2*1 = 40,320 permutations of those letters. However, the letters "O" and "L" show up twice each, so we must divide by 2! = 2*1 = 2 for each instance this happens.

So,

(8!)/(2!*2!) = (40,320)/(2*2) = (40,320)/4 = 10,080

is the number of ways to arrange the letters of "football".

The reason we divide by 2 for each instance of a duplicate letter is because we can't tell the difference between the two "O"s or the two "L"s. If there was a way to distinguish between them, then we wouldnt have to divide by 2.

3 0

3 years ago

You can use this rule to work out the total cost of hiring a car. Total cost = £4 per hour plus £12. Arun hires a car for 5 hour

Kazeer [188]

Answer:

£32

Step-by-step explanation:

12 + 4(5) = 32

Stay safe! <3

6 0

3 years ago

The vertex of this parabola is at (2.-3). When the yvalue is -2, the xvalue is 5. What is the coefficient of the squared term in

tatiyna

Answer:

The coefficient of squared term is 1/9

Step-by-step explanation:

The vertex of parabola is (2.-3)

We know the vertex form of a standard parabola

$y=a(x-h)^2+k,\text{ where (h,k) is vertex}$

Plugging values of h and k, h= 2, k = -3

$y=a(x-2)^2-3$

Now, x=5, y=-2

$-2=a(5-2)^2-3$

$-2=9a-3$

$9a=1$

$a=\frac{1}{9}$

Thus, the coefficient of squared term is 1/9

3 0

3 years ago

The front walkway from the street to Pam's house has an area of 250ft^2. Its length is two less than four times its width. Find

OleMash [197]

Answer: the length of the walkway is 30.64ft

The width of the walkway is 8.16ft

Step-by-step explanation:

Since the walkway has length and width, it is rectangular in shape. For a rectangle, the two lengths and two widths are equal. The area is expressed as length, L × Width,W.

The front walkway from the street to Pam's house has an area of 250ft^2. It means that

LW = 250

Its length is two less than four times its width. It means

L = 4W - 2

Substituting L = 4W - 2 into LW = 250, it becomes

W(4W - 2) = 250

4W^2 - 2W- 250 = 0

Using the general formula for quadratic equations,

W = [- b ± √b^2 - 4ac]/2a

a = 4

b = -2

c = - 250

W= [- - 2 ±√-2^2 -4(4 × -250)]/2×4

= (2 ± √4 + 4000)/8

= (2 ±63.277)/8

W= (2 + 63.277)/8 or W = (2 - 63.277)/8

W = 8.16 or W = - 7.91

Since the width cannot be negative, width = 8.16 ft

LW = 250

8.16L = 250

L = 250/8.16 = 30.64 ft

8 0

4 years ago

Read 2 more answers