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2 years ago

A flower bed has the shape of a rectangle 15 feet long and 12 feet wide. What is its area in square yards?

2 answers:

6 0

20 square yards. 15 * 12 is 180 and then you divide it by 9 which gives you 20 square yards. 9 square feet are equivalent to a square yard.

Wittaler [7]2 years ago

3 0

Hello There!

15 feet = 5 yards
12 feet = 4 yards
5 x 4 = 20yd²

Hope This Helps You!
Good Luck :)

- Hannah ❤

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How much more area does a large pizza with a 12 in. diameter have than a small pizza with an 8 in. diameter? Round your answer t

ivolga24 [154]

Answer: About 63 in²

Step-by-step explanation:

Area of circle = π · r²

r = radius length
π ≈ 3.14

Area of large pizza:

$\pi *r^{2} =3.14*6^{2} =3.14*36=113.04$

Area of small pizza:

$\pi *r^{2} =3.14*4^{2} =3.14*16=50.24$

Difference in area:

$113.04-50.24=62.8$

4 0

2 years ago

What is the equation of the line that is parallel to the given line and passes theought the point (12, -2)

Nesterboy [21]

Answer:

Option D (y = 5/6x -12).

Step-by-step explanation:

Hey there!

The equation of the line which passes through the point (12,-2) is (y+2) = m2(x-12)………(i) [Using one point formula].

According to the question, the first line passes through point (12,6) and (0,-4).

So,

$slope(m1) = \frac{y2 - y1}{x2 - x1}$

$or \: m1 = \frac{ - 4 - 6}{0 - 12}$

$or \: m1 = \frac{5}{6}$

Therefore, the slope of the line is 5/6.

Now as per the condition of parallel lines, m1 =m2 = 5/6.

So, keeping the value of m2 in equation (i), we get;

(y+2) = 5/6(x-12)

$y + 2 = \frac{5}{6} x - 10$

or, y = 5/6x - 12.

Therefore, the required equation is y = 5/6 X - 12.

Hope it helps!

3 0

3 years ago

A 9-kilogram bag of sugar cost $27.54. what is the unit price ?

shusha [124]

Answer:

$3.06

Step-by-step explanation:

1 kg = $27.54

27.54/9 kilogram

4 0

3 years ago

Find the largest positive integer that will divide 542, 436, 398 leaving reminders 7, 11, 15 respectively

saveliy_v [14]

Answer:

Step-by-step explanation:

Here in this question for finding the numbers that will divide 398, 436 and 542 leaving remainder 7, 11 and 15 respectively we have to first subtract the remainder of the following. By this step we find the highest common factor of the numbers.

And then the required number is the HCF of the following numbers that are formed when the remainder are subtracted from them.

Clearly, the required number is the HCF of the numbers 398−7=391,436−11=425, and, 542−15=527

We will find the HCF of 391, 425 and 527 by prime factorization method.

391=17×23425=52×17527=17×31

Hence, HCF of 391, 4250 and 527 is 17 because the greatest common factor from all the numbers is 17 only.

So we can say that the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively is 17.

Note: - whenever we face such a type of question the key concept for solving this question is whenever in the question it is asking about the largest number it divides. You should always think about the highest common factor i.e. HCF. we have to subtract remainder because you have to find a factor that means it should be perfectly divisible so to make divisible we subtract remainder. because remainder is the extra number so on subtracting remainder it becomes divisible.

8 0

2 years ago

Find the area of the polygon.

Anastaziya [24]

Answer:

to find the area of a polygon

formula: area = 1/2 x perimeter x apothem

Step-by-step explanation:

Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

5 0

2 years ago