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3 years ago

29.

2 answers:

8 0

An apothem is a line drawn from the centerpoint of the polygon to one side of the polygon. There is a formula for area in terms of apothem:

A = (1/2)*(Perimeter)*(Apothem)

The perimeter of the regular hexagon is just the length of one side multiplied with the number of sides. Since a hexagon has 6 sides,

P = 6(15) = 90in

A = 1/2 * 90 * 13
A = 585 square inches

igomit [66]3 years ago

8 0

Answer:

Option 1st is correct

585 $\text{in}^2$

Step-by-step explanation:

Area(A) of a regular hexagon is given by:

$A = \frac{1}{2}P \cdot a$ ....[1]

where,

P is the perimeter and a is the apothem of the regular hexagon.

As per the statement:

An apothem 13 inches long and a side 15 inches long.

⇒a = 13 inches and side = 15 inches

Perimeter of hexagon(P) = 6s ; where s is the side

⇒P = 6(15) = 90 inches

Substitute the given values in [1] we have;

$A = \frac{1}{2} \cdot 90 \cdot 13$

Simplify:

A = 585 square inches.

Therefore, the area of a regular hexagon with an apothem 13 inches long and a side 15 inches long is, $585 in^2$

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Jethro used dimensional analysis to convert one rate of speed to another. Two of the conversion factors he used are 5280 ft/1 mi

NNADVOKAT [17]

The units of the initial and final rates of speed are;

Initial rate of Speed = ft/hr

Final rate of speed = mi/min

We are told that the conversion factors he used are;

5280 ft/1 mi and 1 hr/60 min

Now, the meaning of 5280 ft/1 mi denotes that;

5280 ft mile is equivalent to 1 mile

This means that the initial distance unit used was ft while the final one was mile

Also, 1 hr/60 min denotes that;

1 hour is equivalent to 60 minutes.

This means that the initial time units used was hour while the final one was minute.

In conclusion, since we know the initial time and distance units used, we can say that the initial rate of speed ft/hr while final speed rate was miles/minutes.

Read more at; brainly.com/question/17734333

3 0

3 years ago

Find the perimeter of quadrilateral ABCD with vertices A(-2,-2), B(-1,3),

drek231 [11]

Answer:

Step-by-step explanation:

Step one

given the coordinates

ABCD with vertices A(-2,-2), B(-1,3), C(5, 3), and D(4, -2)

AB=(-2,-2),(-1,3)

BC=(-1,3), (5, 3)

CD=(5, 3),(4, -2)

DA=(4, -2),(-2,-2)

The distance between points AB=

$AB= \sqrt (x_2-x_1)^2+(y_2-y_1)^2$

$AB= \sqrt (-1+2)^2+(3+2)^2\\\\AB= \sqrt 1^2+(5)^2\\\\AB= \sqrt26\\\\AB=5.1$

The distance between points BC=

$BC= \sqrt (5+1)^2+(3-3)^2\\\\BC= \sqrt 6^2+(0)^2\\\\BC= \sqrt36\\\\BC=6$

The distance between points CD

$CD= \sqrt (4-5)^2+(-2-3)^2\\\\CD= \sqrt -1^2+(-5)^2\\\\CD= \sqrt26\\\\CD=5.1$

The distance between points DA

$DA= \sqrt (4+2)^2+(-2+2)^2\\\\DA= \sqrt 6^2+(0)^2\\\\DA= \sqrt36\\\\DA=6$

Hence the perimeter = 5.1+6+5.1+6

= 22.2

5 0

3 years ago

Please help! I'm giving branniest for the correct answer! (SHOW WORK)

scoray [572]

Answer:

102

Step-by-step explanation:

it's a parallelogram so it's BxH

A = 15x8 = 120

inside rectangle A is LxW

6x3 = 18

subtract the inside from the outside

120-18 = 102

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3 years ago

What is 10 × 3 1/6 in it simplest form

Ray Of Light [21]

Answer:

Step-by-step explanation:10x3 1/6=30 10/6=31 2/6=31 1/3

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3 years ago

MARKING BRANLY You want to plant a flower garden in your yard so that you can make a beautiful bouquet to put on the alter at ch

BabaBlast [244]

Answer:

1. 3 packs of daffodils and 4 packs of tulips

2. then you would have 24 of each

3. $2.29

4. $37.54

5. $34.61

6.$2.93 was saved

7. 3 tulips

8. 12 daffodils

9. 9 tulips

10. 12 daffodils and 15 tulips

theres 2 left. ill let someone else do it

Step-by-step explanation:

3. 4.50*4=18 5.75*3=17.25

18+17.25 -> 35.25*.065=2.29 rounded

4. 35.25+2.29=37.54

5. 35.25-2.75->32.50*.065=2.11 2.11+32.50=34.61

6. 37.54-34.61=2.93

7. 6:8 -> 3:4 ratio -> 3:4

8. 8+4=12

9. 6+3=9

10. 24-12=12 24-9=15

6 0

3 years ago