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2 years ago

Find the length of side x to the nearest tenth

Mathematics

1 answer:

dangina [55]2 years ago

3 0

Answer:

9√3

Step-by-step explanation:

In a 30-60-90 triangle, where the short leg is a, the long leg is a times √3. Since the short leg is 9, the long leg is 9√3.

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Show that B = {[a, b) ⊂ ℝ | a < b} is a basis for a topology on ℝ

loris [4]

Answer:

Remember that a set $\mathcal{B}$ is a base for some topology on $\mathbb{R}$ if satisfy the following properties:

1. $\mathbb{R}=\cup\{B: B\in\mathcal{B}\}$

2. For $B, B^* \in \mathcal{B}$ , If $p\in B\cap B^*$ then exist $B_p\in\mathcal{B}$ such that $p\in B_p\subset B\cap B^*$ .

Now, for $B=\{[a,b)\subset\mathbb{R}| a < b\}$ we verify the above properties:

1. It's clear that $\mathbb{R}=\cup_{a,b \text{ with }a$

2. Let $B=[a,b), B^*=[c,d) \in \mathcal{B}, p\in B\cap B^*$ . Without loss of generality suppose that $a$ . Then $c\leq p < b$ , this implies that $p\in[c,b)$ and $B_p=[c,d) \in \mathcal{B}$ and $B_p\subset B\cap B^*$ .

Then, B satisfy the two properties. This show that B is a basis for a topology in $\mathbb{R}$

6 0

2 years ago

I need help! it's for math !!!!!

lara [203]

The answer is 200 every 10 hours, and divide them by 10 to get $20 every hour. Hope this helps!

7 0

2 years ago

Read 2 more answers

A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which e

maw [93]

Answer:

Ф = ------------ = 7/5 radians

Step-by-step explanation:

"e" is inappropriate format here. Use Ф or α or similiar character for central angle.

Here, (arc length) = (radius)(central angle), or s = rФ, and so:

(central angle) = Ф = (arc length) / (radius)

7 ft

Here, Ф = ------------ = 7/5 radians

5 ft

3 0

2 years ago

16x72(192/13) please help me solve this

butalik [34]

78
16 times 72 = 1152/(192/13) = 78

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2 years ago

Simplify the fraction to lowest terms, and enter your answer below as a fraction using the slash mark ( / ) as the fraction bar.

vlabodo [156]

Oh Fractions are always fun to do. The answer should be 11/16

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2 years ago