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myrzilka [38]
2 years ago
9

James has 195.84 square yards of land he can use to grow vegetables. He wants to divide this into patches of 16.32 square yards.

He will be able to create garden patches on his land. If he wants to create garden patches with an area of 32.64 square yards, he will be able to create patches on the land.
Mathematics
2 answers:
Dimas [21]2 years ago
5 0

Answer:

With 16.32 square yards, James gets 12 patches.

With 32.64 square yards, he gets 6 patches.

Step-by-step explanation:

James has 195.84 square yards of land he can use to grow vegetables.

He wants to divide this into patches of 16.32 square yards.

So, he will get \frac{195.84}{16.32}=12 equal patches.

If he wants to create garden patches with an area of 32.64 square yards, then he gets \frac{195.84}{32.64}=6 patches.

Pavel [41]2 years ago
4 0
\frac{195.84}{16.32}=12 So James could make 12 patches that are 16.32 square yards. \frac{195.84}{32.64} = 6 So James could make 6 patches that are 32.64 square yards. I hope this helps! =) 
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Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi
anyanavicka [17]

Question:

Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3 3 start superscript, 3, end superscript of melted purple liquid. The radius of the cone is 333 cm. What is the height of the cone?

Answer:

The height of the cone is 9 \ cm

Explanation:

It is given that the radius of the cone is 3 \ cm

The volume of the cone is 27\pi

The height of the cone can be determine using the formula,  

$V=\frac{1}{3} \pi r^{2} h$

Substituting the values V=27 \pi and r=3, we get,

$27 \pi=\frac{1}{3} \pi(3)^{2} h$

Multiplying both sides by 3, we have,

$81 \pi= 9\pi h$

Dividing both sides by $9 \pi$, we have,

9=h

Thus, the height of the cone is 9 \ cm

4 0
2 years ago
Which of the following are exterior angles? Check all that apply.
Marina86 [1]

Answer:

A

C

D

E

Step-by-step explanation:

Exterior angles can be described as the angles that are formed between the side of a polygon and the extended adjacent side of the polygon.

Or an exterior angle is the angle that is not inside the triangle formed.

The angles inside the triangle are interior angles.

Exterior angles are :

2

3

4

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1

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6 0
2 years ago
Ms. Hamby gave a quiz. Two students’ work and the answer key are shown. Ms. Hamby accepts equivalent answers in any form.
Luden [163]

Answer:

Student A and Student B both answered 2 questions correctly.

See explanation below

Step-by-step explanation:

Note: that answers in the form:

\frac{a}{-b}=\frac{-a}{b}=-\frac{a}{b}

ARE ALL EQUIVALENT.

First of all, 4/5 is equivalent to 0.8 if we do long division.

and 19/20 is 0.95 if we do long division.

Now, <u>Student A:</u>

Both of the fractions are correct and the negative sign is equivalent and makes the answer correct, so both are correct.

For <u>Student B:</u>

Similarly, both answers are correct for this student as well, looking at the equivalence we showed first.

Also, "-" (negative) in front of the parenthesis and inside parenthesis here doesn't matter.

Hence,

Student A and Student B both answered 2 questions correctly.

5 0
2 years ago
Two professors at a nearby university want to co-author a new textbook in either economics or statistics. They feel that if they
WARRIOR [948]

Answer:

0.3 or 30%

Step-by-step explanation:

The professors will only seek a smaller publisher if they cannot place the statistics book with a major publisher. If the probability of getting a major publisher is 40% and the probability of getting a smaller publisher is 50%, then the probability that the statistics book would wind up being placed with a smaller publisher is given by:

P=(1-P(major))*P(minor)\\P=(1-0.4)*0.5\\P=0.3

The probability is 0.3 or 30%.

3 0
2 years ago
A composite figure is comprised of a square, trapezoid, and a rectangle. The square has side lengths of 10 centimeters. The trap
Evgesh-ka [11]

The area of the composite figure is 264 square centimeters, if a composite figure comprised of a square, trapezoid and a rectangle.

Step-by-step explanation:

The given is,

                   Dimensions of square has length of 10 cm

                   Trapezoid has base lengths of 8 cm and 14 cm

                   The length of the trapezoid is 4 cm

                   Rectangle has side length of 20 cm and 6 cm

Step:1

            Area of composite figure = Area of square + Area of Trapezoid

                                                                + Area of rectangle.......................(1)

Step:2

                  Formula for area of square,

                                                 A_{square} = a^{2}

                 where, a - side of length = 10 cm

                                                             =10^{2}

                                                            =100

                    Area of square, A_{square} = 100 Square centimeter

Step:3

                Formula for area of Trapezoid,

                                            A_{Trapezoid} = \frac{a+b}{2} h.......................................(2)

                    Where, a - 8 cm

                                 b - 14 cm

                                 h - 4 cm

                 From equation (2)

                                                            = \frac{8+14}{2} 4

                                                            = (11)(4)

                                                            = 44

         Area of  Trapezoid, A_{Trapezoid} = 44 square centimeters

Step:4

             Formula for area of rectangle,

                                            A_{Rectangle} =lb......................................(3)

            Where, l = 20 cm

                        b = 6 cm

           Equation (3) becomes,

                                                            = (20)(6)

                                                            = 120

            Area of rectangle, A_{Rectangle} = 120 square centimeters

Step:5

            From Equation (1),

                     A_{Composite} = 100 + 44 + 120

                                     = 264 square centimeters

Result:

            The area of the composite figure is 264 square centimeters, if a composite figure comprised of a square, trapezoid and a rectangle.

4 0
2 years ago
Read 2 more answers
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