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densk [106]
3 years ago
10

1. On a blueprint, a rectangular room 14 feet by 12 feet has a semicircular sitting area attached with a diameter of 12 feet.

Mathematics
1 answer:
timofeeve [1]3 years ago
5 0
Roughly, the perimeter of the room, including the sitting area, would be 65.909 ft squared. The perimeter of the semicircle would be approximately 13.909 ft. Then, add it to the 24 (12 x 2) and 28 (14 x 2), and you get 65.909 ft squared. As for the area, it would 168 (12 x 14) + pi (3.1415...) x 6 squared (radius squared - radius is half of the diameter) divided by two (since it's a semicircle). So then, your answer would be about <span>224.54 square feet.</span>

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Which shows a perfect square trinomial?
anastassius [24]
The answer is <span>c. 16x2 + 24xy + 9y2.

Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.

So, our square trinomial is a</span>² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²

Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x

b² = 9y²
b² = (3y)²
b = 3y

a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT

d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x

b² = 10y²
b² = (y√10)²
b = y√10

a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT

So, c) is correct answer
8 0
4 years ago
Read 2 more answers
A fruit bowl is shaped like half of a sphere. The radius of the bowl is 15cm. what is the volume of the bowl
Naya [18.7K]

Answer: 7065 cm

Step-by-step explanation:

Find the volume as the bowl was a whole sphere and then divide the volume found by two, to get the volume of half the sphere.

(4/3) * π*(r^3) ≈ 14130 cm

14130/2 ≈ 7065 cm

This is an approximated result using π = 3.14

3 0
3 years ago
if 7 dancers were at a dance and 46 more came in and h left and there was 13 dancers left how many was h
TEA [102]
<span>If 7 dancers were at a dance and 46 more came in and h left and there was 13 dancers left how many was h
</span>-  h is 70.
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4 years ago
D=rt What does T equal? Lol how is this possible
vampirchik [111]

Answer:

t = D/r

Step-by-step explanation:

you rearrange the equation so that is the subject. when you bring something over the equal sign, it reverses the function so D = r×t becomes t = D/r

4 0
3 years ago
cho hàm số y = f(x) có đạo hàm liên tục trên R thỏa mãn 2f(2x)+f(1-2x) = 12x2 víu mọi x thuộc R . Phương trình tiếp tuyến của đồ
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Step-by-step explanation:

then I can help u

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