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Naily [24]
3 years ago
15

The length between the bases on a Major League Baseball diamond is 90 feet. Allyson wants to make a scale drawing of a baseball

field. If the bases are 2 1/2 inches apart on her scale drawing, what’s Allyson’s scale?
Mathematics
1 answer:
Vinil7 [7]3 years ago
4 0

Answer:

\text{The scale is }\frac{1}{432}

Step-by-step explanation:

Length between the bases on a major league diamond = 90 feet

1 feet = 12 inches

90 feet = 90 × 12

             = 1080 inches

Length between the bases on a major league baseball diamond on scale drawing = 2.5 inches

\text{Scale factor = }\frac{\text{Actual length}}{\text{Scale length}}\\\\\text{Scale factor = }\frac{1080}{2.5}=432

\text{Hence, the scale is }\frac{1}{432}

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
wel

Answer:

z=\frac{15\sqrt{3}}{2}

Step-by-step explanation:

In leftmost triangle:

opposite side =y

adjacent=a

now, we can use trig formula

tan(60)=\frac{y}{a}

now, we can solve for y

y=atan(60)

In rightmost triangle:

adjacent=b

opposite=y

a+b=15

b=15-a

now, we can use trig formula

tan(30)=\frac{y}{15-a}

now, we can solve for y

y=(15-a)tan(30)

now, we can set them equal

and then we can solve for a

atan(60)=(15-a)tan(30)

\sqrt{3}a\cdot \:3=\frac{\sqrt{3}\left(15-a\right)}{3}\cdot \:3

4\sqrt{3}a=15\sqrt{3}

a=\frac{15}{4}

now, we can find b

b=15-\frac{15}{4}

b=\frac{45}{4}

now, we can use trig formula

cos(30)=\frac{b}{z}

now, we can find z

z=\frac{\frac{45}{4}}{cos(30)}

we can simplify it

and we get

z=\frac{15\sqrt{3}}{2}


4 0
3 years ago
Amber determined that the expression -1/2 divided by -41/15 is equivalent to 15/82. Which statement describes the process Amber
ddd [48]
Amber could have used cross multiplication.

Have a great day!!!!
5 0
3 years ago
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What is 20% of 50 (show work)
seraphim [82]
X/50 = 20/100 

its takes adding 30 to 20 to get to 50 so add 30 to 100 then its 130/100 (130 over 100) and then divide that and its 13 = 13%

i think its right dont hold it against me if im wrong

8 0
3 years ago
PLEASEE HELPPP !! WILLING TO HELP WITH social studies/history if you can answer
Rashid [163]
The first option is correct (-x)
4 0
3 years ago
Read 2 more answers
mike, dave and john worked for a total of 56 hours. Dave worked 6 more than 4 times as many hours as mike. John worked 6 less th
Daniel [21]

Answer:

1. Dave worked for 34 hours.

2. Perimeter of the rectangle is 172 cm.

Step-by-step explanation:

1. Determination of the hours Dave worked.

Let D represent Dave.

Let M represent Mike.

Let J represent John.

Tota time worked by Dave, Mike and John is 56 hours. This can be written as:

D + M + J = 56 ..... (1)

Dave worked 6 more than 4 times as many hours as Mike. This can written as:

D = 6 + 4M .....(2)

John worked 6 less than 3 times as many hours as Mike. This can be written as:

J = 3M – 6 ........ (3)

Substituting the value of F and J into equation 1, we have:

D + M + J = 56

D = 6 + 4M

J = 3M – 6

6 + 4M + M + 3M – 6 = 56

6 – 6 + 4M + M + 3M = 56

8M = 56

Divide both side by 8

M = 56/8

M = 7

Substitute the value of M into equation (2) to obtain the value of D.

D = 6 + 4M

M = 7

D = 6 + 4(7)

D = 6 + 28

D = 34

Therefore, Dave worked for 34 hours .

2. Determination of the perimeter.

Length (L) = 64 cm

Width (W) = 22 cm

Perimeter (P) =?

P = 2(L + W)

P = 2 (64 + 22)

P = 2 (86)

P = 172 cm

Therefore, the perimeter of the rectangle is 172 cm

6 0
3 years ago
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