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Gwar [14]
3 years ago
9

What is the area of the figure? A rectangle is cut out of a large rectangle. The larger rectangle has a base of 6 yards and heig

ht of 7 and one-fourth yard. The smaller rectangle inside has a base of 3 and two-thirds yard and height of 5 yards. –25One-sixth yd2 22One-sixth yd2 25One-sixth yd2 61StartFraction 5 Over 6 EndFraction yd2
Mathematics
2 answers:
masya89 [10]3 years ago
8 0

Small one: 18 and 1-thirds yards²  Large one: 43.5 yards²

Step-by-step explanation:

Area of rectangle= base*height

Large one: base = 6, height= 7.25 (7 and 1-fourth)

Area= 43.5yards²

Small one: base = 3(2/3 or 2-thirds), height= 5

change the mixed fraction 3(2/3) to 11/3

area= 11/3 * 5 = 55/3

change to mixed fraction which = 18(1/3)

Alchen [17]3 years ago
8 0

Answer:

25 1/6 Yard

Step-by-step explanation:

Tht is the answer

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Calculate the value of A to one decimal place
WINSTONCH [101]

Okay, you will need to use the law of cosines for this problem.

The Law of Cosines states (in this case): a^2 = b^2 + c^2 - 2 * b * c * cos A, where "a" is the side opposite angle A (7 inches), and b and c are the other two sides.

Plug the numbers in and you get: 7^2 = 5^2 + 9^2 - 2 * 5 * 9 * cos A, or:

49 = 25 + 81 - 90 * cos A.

Subtract (25 + 81) from both sides to get:

-57 = -90 * cos A.

Divide by -90 on both sides:

cos A = 19/30

To find A, you do the inverse trigonometric function to get:

cos^-1 of (19/30) = A.

I don't have a calculator that can do this right now, but if you plug the left side of the above equation into it (make sure it is in degrees, not radians), you should get A.

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3 years ago
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X+6 is less than or equal to 12+2x
Scilla [17]
X+6≤12+2x
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4 0
4 years ago
10. What is the distance between (8,7) and (3,-5)?
Anarel [89]

Answer:

distance between points=13 units

Step-by-step explanation:

distance between points=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

put (x_1,x_2)=(8,7) and (y_1,y_2)=(3,-5)

distance between points=\sqrt{(3-8)^2+(-5-7)^2}

distance between points=\sqrt{(-5)^2+(-12)^2}

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8 0
3 years ago
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sveta [45]

Answer: 223.77 minutes

Step-by-step explanation:

For this exercise you need to use the following formula:

\frac{t}{t_A}+\frac{t}{t_B}=1

Where t_A is the individual time for object A, t_B is the individual time for object B and t is the time for A and B working together.

In this case, analizing the information given in the exercise, you can identify that:

t_A=390\\\\t_B=525

Knowing these values you can substitute them into the formula and then you must solve for "t" in order to calculate how long will it take working together.

You get that this is:

\frac{t}{390}+\frac{t}{525}=1\\\\\frac{61}{13650} t=1\\\\61t=(1)(13650)\\\\t=\frac{13650}{61}\\\\t=223.77\ minutes

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4 years ago
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