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enot [183]
4 years ago
10

Find the area of the shaded region.

Mathematics
1 answer:
RoseWind [281]4 years ago
6 0

Answer: 51 in²

Step-by-step explanation: Using the given diagram, we can find the area of the shaded region by taking the area of the larger rectangle minus the area of the area of the small rectangle.

To find the area of the large rectangle, we start with the formula for the area of a rectangle which is shown below.

Area = length · width

Since the length of the large rectangle is 15 in and the width is 5 in, we can plug this information into the formula to get 15 in · 5 in or 75 in.

So the area of the larger rectangle is 75 in.

To find the area of the small rectangle, we also use length · width which is simply 8 in · 3 in or 24 in. So the area of the small rectangle is 24 in.

Finally, remember that  the area of the shaded region is the area of the larger rectangle minus the area of the smaller rectangle which in this case will be 75 - 24 or 51

So the area of the shaded region is 51 in².

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Can some hell me understand foil <br> for (4x-3)(x+11)
Naddik [55]

Answer:

4x² + 41x - 33

Step-by-step explanation:

  • F in foil stands for 'first'; take the first value in each bracket and multiply them together. So 4x × x = 4x²
  • O in foil stands for 'outside'; take the outermost values from each bracket and multiply them together. So 4x × 11 = 44x
  • I in foil stands for 'inside'; take the innermost values for each bracket and multiply them together. So -3 × x = -3x
  • Finally, L in foil stands for 'last'; take the last value in each bracket and multiply them together. So -3 × 11 = -33
  • Now, we can put this all together and simplify: 4x² + 44x - 3x - 33 → 4x² + 41x - 33.

Hope this helps!

7 0
2 years ago
Find the sum of 5x+y and (2xy + xy).
svetlana [45]

Answer:

6x^2y+2xy^2

Step-by-step explanation:

5x^2y + (2xy^2 + x^2y).

Combine like terms

6x^2y+2xy^2

4 0
3 years ago
Read 2 more answers
What is 5 divide by 145.5?
bulgar [2K]
29.1 just divide but frist u have to line up your decimal then divide
4 0
3 years ago
The price of a smart phone is "x" and is discounted 40% for a special promotion. You must also pay 7% sales tax on this purchase
Gekata [30.6K]

Answer:

0.428x

Step-by-step explanation:

The price of a smart phone is "x" and is discounted 40% for a special promotion.

Step 1

The price after the discount is:

40% of x

= 40x/100

= 0.4x

Step 2

We calculate the exact amount the sales tax is.

You must also pay 7% sales tax on this purchase.

= 7% × 0.4x

= 7/100 × 0.4x

= 0.028x

Step 3

The final price for this purchase is calculated as:

0.4x + 0.028x

= 0.428x

Hence, the final price for this purchase is 0.428x

3 0
3 years ago
The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder wi
posledela

Answer:

72 m^3

Step-by-step explanation:

volume of the kiosk = volume of cylinder + volume of cone

volume of a cylinder = nr^2h

n = 3.14

r = radius = 5/2 = 2.5

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

3.14 x (2.5^2) x 3 = 58.88  

Volume of a cone = 1/3(nr^2h)

3.14 x 1/3 x (2.5^2) x 2 = 13.08

13.08 + 58.88 = 71.96

To round off to the nearest cubic meter, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

= 72 m^3

5 0
3 years ago
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