Answer:
The length of hypotenuse is 12.5
Step-by-step explanation:
First 7.5 x 7.5 = 56.25
Then 10 x 10 = 100
Add them together 56.25 + 100 = 156.25
Then square root 156.25 and you get 12.5
Answer:
4/5
Step-by-step explanation:
Of the hats in Deb's Hat Shop, 1/2 are purple and another 3/10 are red. What fraction of the hats are either purple or red?
The Fraction of the hats that are either purple or red are:
Purple + Red
= 1/2 + 3/10
Lowest Common Denominator is 10
= 5 + 3/10
= 8/10
= 4/5
Therefore, the fraction of the hats tha are either purple or red is 4/5
<em>u={1,2,3,4,5},A={2,4} and Beta {2,5,5}</em>
<em>now</em><em>,</em><em> </em><em>(AUB)</em><em>=</em><em>{</em><em>1</em><em>,</em><em>3</em><em>,</em><em>3</em><em>,</em><em>4</em><em>,</em><em>5</em><em>}</em>
<em>[</em><em>AUB</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>set</em><em> </em><em>of</em><em> </em><em>all</em><em> </em><em>elements</em><em> </em><em>of</em><em> </em><em>set</em><em> </em><em>A</em><em> </em><em>and</em><em> </em><em>set</em><em> </em><em>B</em><em> </em><em>without </em><em>any</em><em> </em><em>repetition </em><em>]</em>
<em>n</em><em>(</em><em>AUB</em><em>)</em><em>=</em><em>5</em>
<em>n</em><em>(</em><em>AUB</em><em>)</em><em>is</em><em> </em><em>the</em><em> </em><em>total</em><em> </em><em>no</em><em> </em><em>of</em><em> </em><em>elements</em><em> </em><em>in</em><em> </em><em>set</em><em> </em><em>(</em><em>AUB</em><em>)</em>
This is an incomplete question, here is a complete question.
A hurricane wind blows across a 7.00 m × 12.0 m flat roof at a speed of 150 km/h.
What is the pressure difference Δp = p(inside)-p(outside)? Use 1.28 kg/m³ for the density of air. Treat the air as an ideal fluid obeying Bernoulli's equation.
Answer : The pressure difference will be, 
Step-by-step explanation :
As we are given:
Speed = 150 km/h = 41.66 m/s
Density = 
Area = A = 7.00 m × 12.0 m
Formula used :

Now put all the given values in this formula, we get:


Thus, the pressure difference will be, 
The values of the variables are k = -6 , w = ± 9 , f = -7
Step-by-step explanation:
To solve these problems we will compare the elements inside the [ ]
[-12 , -w²] = [2k , -81]
[2f , 3] = [-14 , 3]
That mean:
1. -12 = 2k
2. -w² = -81
3. 2f = -14
∵ 2k = -12
Divide both sides by 2 to find k
∴ k = -6
∵ -w² = -81
Divide both sides by -1
∴ w² = 81
Take √ for both sides
∴ w = ± 9
∵ 2f = -14
Divide bith sides by 2
∴ f = -7
The values of the variables are k = -6 , w = ± 9 , f = -7
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