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guajiro [1.7K]
3 years ago
12

A rectangular garden measures 33 ft by 46 ft. Surrounding (and bordering) the garden is a path 2 ft. Find the area if this other

. Be sure to include the correct unit in your answer.
Mathematics
1 answer:
Sliva [168]3 years ago
5 0

Answer:

332 ft²

Step-by-step explanation:

A rectangular garden measures 33 ft by 46 ft. Surrounding (and bordering) the garden is a path 2 ft. Find the area of this path. Be sure to include the correct unit in your answer.

Solution:

The area of the rectangular garden = length * breadth = 33 ft. * 46 ft. = 1518 ft²

Since the path surrounding the garden is 2ft, the length of the path with the garden = 46 + 2 + 2 = 50 ft

The width of the path with the garden = 33 + 2 + 2 = 37 ft.

Area of the path with the garden = length * breadth = 50 ft * 37 ft = 1850 ft².

Area of the path = 1850 ft² - 1518 ft.² = 332 ft²

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What inequalities is not true when x = -2
Sholpan [36]
A= -6(-2) < -10
12 < -10
NOT TRUE

B= -2(-2) > -3
4 > -3
TRUE

C= -2/4 < 0
-1/2 < 0
TRUE

D= -4 < (-2)-5
-4 < -7
TRUE

So the answer is A

4 0
3 years ago
Eighteen 2.5 gallon buckets are needed to fill a cistern with water. Find the constant of variation. Please help! Thank you!
Allushta [10]

Given:

Eighteen 2.5 gallon buckets are needed to fill a cistern with water.

To find:

The constant of variation.

Solution:

If y is directly proportional to x, then

y\propto x

y=kx

Where, k is constant of variation.

In the given problem, water in cistern (w) is directly proportional to number of buckets (n).

w\propto n

w=2.5n        (Capacity of each bucket is 2.5 gallons)

Therefore, the constant of variation is 2.5.

6 0
3 years ago
Read 2 more answers
Jessie needs to get a picture blown up from a 4x6 standard print to a poster size frame she has. When she gets to the copy place
Maru [420]

Answer:

24

Step-by-step explanation:

4×4=16

6×4=24

the picture is being blown up ×4

7 0
3 years ago
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If 1000 pencils cost $20, how much<br> would ten pencils cost? Can somone explain
Gwar [14]

Answer:

1000 pencils = $ 20.

10 pencils = ?

10 * 20 / 1000

200/1000

2/10

1/5

0.5.$

4 0
2 years ago
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An isosceles triangle has angle measure 40, 40, and 100. The side across from the 100 angle is 10 inches long. How long are the
Alinara [238K]

Answer:

The other two sides of given isosceles triangle are 6.53 inches long.

Step-by-step explanation:

in the figure below,

ABC is an isosceles triangle has angle measure 40, 40, and 100. The side across from the 100 angle is 10 inches long an let this side be b

Let the other two be a inches long .

We have to find the measure of side AB.

Sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles. According to the law,



For a triangle Let B stands for the angle at B. Let C stand for the


angle at C and A for angle A. Also, let b = AC, a = BC and c = CB = a.

\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}  ............(1)

Using sine rule,

Putting values in (1),

\frac{a}{\sin 40}=\frac{10}{\sin 100}=\frac{a}{\sin 40}

Considering first two ratios,

\frac{a}{\sin 40}=\frac{10}{\sin 100}

{a}=\frac{10 \times \sin 40}{\sin 100}

{a}=6.52704 \Rightarrow a=6.53(approx)

Since, the triangle is isosceles so, other two sides are equal.

Thus, other sides are 6.53 inches long.






8 0
3 years ago
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