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egoroff_w [7]
3 years ago
7

Simplify the ratio 20 in 5ft

Mathematics
1 answer:
grigory [225]3 years ago
6 0
1 foot = 12 inch 20/(5*12) = 20/60 = 1/3 2) .Let x=width 9/5x=length 2W 2L=P 2(x) 2(9/5x)=112 2x (18/5)x = 112 28x = 560 x=560/28 x= 20 inches Width (9/5)x=36 inches Length Check: 2W 2L = P 2(20) 2(36) = 112 8 48 =112 

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Pentagon TEXAS has vertices at T(1, 8), E(3, 8), X(6, 2), A(3, 2), and S(1, 4). What is the area of Pentagon TEXAS?
Tamiku [17]

The area of the pentagon is 19 square units

The coordinates of the pentagon are given as:

T = (1, 8)

E =(3, 8)

X =(6, 2)

A=(3, 2)

S = (1, 4)

The area of the pentagon is then calculated using:

Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|

So, we have:

Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|

Simplify the expressions in both brackets

Area = \frac 12|46 -84|

Area = \frac 12|-38|

Remove absolute bracket

Area = \frac 12 \times 38

Area = 19

Hence, the area of the pentagon is 19 square units

Read more about areas at:

brainly.com/question/1423568

7 0
2 years ago
Rewrite each statement using the appropriate mathematical language 1. There exists a number b belonging to the set B 2. Even num
Shtirlitz [24]

Answer:

1. b ∈ B 2. ∀ a ∈ N; 2a ∈ Z 3. N ⊂ Z ⊂ Q ⊂ R 4. J ≤ J⁻¹ : J ∈ Z⁻

Step-by-step explanation:

1. Let b be the number and B be the set, so mathematically, it is written as

b ∈ B.

2. Let  a be an element of natural number N and 2a be an even number. Since 2a is in the set of integers Z, we write

∀ a ∈ N; 2a ∈ Z

3. Let N represent the set of natural numbers, Z represent the set of integers, Q represent the set of rational numbers, and R represent the set of rational numbers.

Since each set is a subset of the latter set, we write

N ⊂ Z ⊂ Q ⊂ R .

4. Let J be the negative integer which is an element if negative integers. Let the set of negative integers be represented by Z⁻. Since J is less than or equal to its inverse, we write

J ≤ J⁻¹ : J ∈ Z⁻

4 0
3 years ago
What is the slope of the line that passes through (9,3) and (2,1)
Aneli [31]

Answer:

2/7

Step-by-step explanation:

slope =  \frac{1 - 3}{2 - 9}  \\  =  \frac{ - 2}{ - 7}   \\  =  \frac{2}{7}

3 0
1 year ago
When a coin is tossed it is either heads or tails. Suppose heads has a point value of 1 and tails a point value of -1. if the su
zvonat [6]

Answer:

32

Step-by-step explanation:

Totally there are 50 tosses.  

Let the number of tosses which resulted head be x.  

Therefore the number of tosses which resulted tail is 50−x.

We get x×1+(50−x)×(−1)=14

x−(50−x)=14

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8 0
3 years ago
Somebody, please help me it's URGENT
Kitty [74]

Answer:

S=20

Step-by-step explanation:

we want P(s) = 60

so P(s) = 3s = 60

s = 20

6 0
2 years ago
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