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loris [4]
3 years ago
10

Westminster Street and Lake Avenue intersect. If Westminster Street is 7 meters wide and Lake Avenue is 5 meters wide, what is t

he distance between two opposite corners of the intersection? If necessary, round to the nearest tenth.
Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0

Answer:

the distance between two opposite corners of the intersection is 8.60 meters

Step-by-step explanation:

The computation of the distance between two opposite corners of the intersection is given below:

Here we applied the Pythagoras theorem

= \sqrt{7^2 + 5^2} \\\\= \sqrt{49 + 25} \\\\= \sqrt{74}

= 8.60 meters

hence, the distance between two opposite corners of the intersection is 8.60 meters

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PLEASE ANSWER WITH AN EXPLANATION! THANK YOU
lubasha [3.4K]

Answer:

\large\boxed{A=153\ cm^2}

Step-by-step explanation:

<em>Look at the picture.</em>

We have

square with side length a = 9

trapezoid with base lengths b₁ = 9 and b₂ = 6 and the height length h = 6

right triangle with legs lengths l₁ = 3 + 6 = 9 and l₂ = 6

The formula of an area of a square

A=a^2

Substitute:

A_I=9^2=81\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

Substitute:

A_{II}=\dfrac{9+6}{2}\cdot6=\dfrac{15}{2\!\!\!\!\diagup_1}\cdot6\!\!\!\!\diagup^3=(15)(3)=45\ cm^2

The formula of an area of a right triangle:

A=\dfrac{l_1l_2}{2}

Substitute:

A_{III}=\dfrac{(9)(6)}{2}=\dfrac{54}{2}=27\ cm^2

The area of the shape:

A=A_I+A_{II}+A_{III}\\\\A=81+45+27=153\ cm^2

8 0
3 years ago
What is the value of x? Round to the nearest tenth(1 decimal place)​
liraira [26]

Answer:

x ≈ 15.0 ft

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Trigonometry</u>

  • tan∅ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Define</u>

Angle = 28°

Opposite leg of angle = 8 ft

Adjacent leg of angle = x ft

<u>Step 2: Find </u><em><u>x</u></em>

  1. Substitute:                                        tan28° = 8/x
  2. Multiply <em>x </em>on both sides:                 xtan28° = 8
  3. Divide tan28° on both sides:          x = 8/tan28°
  4. Evaluate:                                          x = 15.0458
  5. Round:                                              x ≈ 15.0 ft
6 0
3 years ago
2(v–11) please help me solve this
nika2105 [10]

Answer: 2v-22

Step-by-step explanation:

2(v)=2v

2(-11)= -22

2v - 22

6 0
3 years ago
5.) What is the GCF of the following<br> 6x2 and 12x3
algol13
Answer: 12
6x2 is 12 and 12x3 is 38.
We will first find the prime factorization of 12 and 36. After we will calculate the factors of 12 and 36 and find the biggest common factor number .

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3 years ago
PLEASE HELP ASAP!!
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