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il63 [147K]
3 years ago
12

Circumference (Level 2) Need help with this.

Mathematics
2 answers:
irinina [24]3 years ago
7 0
.25 meters, correct answer :)
goblinko [34]3 years ago
6 0
.25 meters is the answer
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Given the conditional statement ~p -> q which statement is logically equivalent?​
icang [17]

Any implication is logically equivalent to its contrapositive. In other words,

¬<em>p</em> ⇒ <em>q</em>   ⇔   ¬<em>q</em> ⇒ <em>p</em>

(¬ means the same thing as ~, "not")

To prove this: recall that

<em>p</em> ⇒ <em>q</em>   ⇔   ¬<em>p</em> ∨ <em>q</em>

This is because <em>p</em> ⇒ <em>q</em> is true if <em>p</em> is false, or both <em>p</em> and <em>q</em> are true, i.e.

<em>p</em> ⇒ <em>q</em>   ⇔   ¬<em>p</em> ∨ (<em>p</em> ∧ <em>q</em>)

Disjunction (∨ or "or") distributes over conjunction (∧ or "and"), so that

<em>p</em> ⇒ <em>q</em>   ⇔   (¬<em>p</em> ∨ <em>p</em>) ∧ (¬<em>p</em> ∨ <em>q</em>)

but ¬<em>p</em> ∨ <em>p</em> is always true, or a tautology, so we're just left with ¬<em>p</em> ∨ <em>q</em>.

Then

¬<em>p</em> ⇒ <em>q</em>   ⇔   <em>p</em> ∨ <em>q</em>

…   ⇔   <em>q</em> ∨ <em>p</em>

…   ⇔   ¬(¬<em>q</em>) ∨ <em>p</em>

…   ⇔   ¬<em>q</em> ⇒ <em>p</em>

4 0
3 years ago
As an estimation we are told £3 is €4.<br> Convert £72 to euros.
Luden [163]

(72×4)÷3

Please solve this

Any answer you get is the Answer

4 0
3 years ago
Read 2 more answers
Prove that if S1, ... , Sn are
Brums [2.3K]

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

5 0
3 years ago
Use law of sines or law of cosines to find the length of side AB Please show work !!
scoray [572]

Answer:

AB = 11.3

Step-by-step explanation:

Given

The attached triangle

Required

Length AB

To do this, we make use of sine law which is represented as:

\frac{a}{\sin(a)} = \frac{b}{\sin(b)} = \frac{c}{\sin(c)}

So, we have:

\frac{15}{\sin(70)} = \frac{AB}{\sin(45)}

Make AB the subject

AB = \frac{15}{\sin(70)} * \sin(45)

AB = \frac{15}{0.9397} *0.7071

AB = 11.3

7 0
3 years ago
WILL MARK AS BRAINLIEST A slice is made perpendicular to the base of a right rectangular prism as shown.
Likurg_2 [28]

Hi, here is the correct answer <3

Answer:

A rectangle.

Step-by-step explanation:

Since the cross-section will be perpendicular to the base, it is parallel to the lateral faces of the prism. This means it will be the same shape as the lateral faces.

The lateral faces of a rectangular prism are rectangles; this means this cross-section will be a rectangle as well.

6 0
3 years ago
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