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Anettt [7]
3 years ago
7

The diameter of a circle measures 17 mm. What is the measure of its radius ?

Mathematics
1 answer:
likoan [24]3 years ago
8 0

Answer:

the radius is 8.5 mm

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ehidna [41]
The roots are-4 and 7y=x² - 3x - 28<span>The roots are
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7 0
3 years ago
Since stores will calculate the total price of your purchase for yo, why is it important to be able to calculate discounts yours
denpristay [2]

Answer:

So you don't overspend.

Step-by-step explanation:

Lets say you bring $10 and everything at the store is half off the price is half of its original (huge savings) and you buy a toy that was $12 and now its $6, if you calculate your own saving you know you have $4 left to spend.


Hope this helps!


7 0
3 years ago
Read 2 more answers
Use Theorem 2.1.1 to verify the logical equivalence. Give a reason for each step. -(pv –q) v(-p^q) = ~p
sertanlavr [38]

Answer:

The statement \lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) is equivalent to \lnot p, \lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv \lnot p

Step-by-step explanation:

We need to prove that the following statement \lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) is equivalent to \lnot p with the use of Theorem 2.1.1.

So

\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv

\equiv (\lnot p \land \lnot(\lnot q))\lor(\lnot p \land \lnot q) by De Morgan's law.

\equiv (\lnot p \land q)\lor(\lnot p \land \lnot q) by the Double negative law

\equiv \lnot p \land (q \lor \lnot q) by the Distributive law

\equiv \lnot p \land t by the Negation law

\equiv \lnot p by Universal bound law

Therefore \lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv \lnot p

4 0
3 years ago
Find the total surface area of a square based prism (cuboid) of height 4cm, given that the side length of its base is 6cm.
scoray [572]

Total surface area of the square pyramid is 1476 cm².

Step-by-step explanation:

  • Step 1:

Total surface area of a pyramid = 12pl + B. Here p is perimeter of the base which is a square = 4 × side, l is the slant height and B is the area of the base = side²

  • Step 2:

Find perimeter of the base

⇒ p = 4 × side = 4 × 6 = 24 cm

  • Step 3:

Find the slant height of the prism. l² = height² + (side/2)² (Based on Pythagoras Theorem)

⇒ l² = 4² + (6/2)² = 16 + 9 = 25

⇒ l = √25 = 5 cm

  • Step 4:

Find the area of the base of the pyramid.

⇒ B = side² = 6² = 36 cm²

  • Step 5:

Calculate total surface area of the pyramid.

⇒ TSA = 12 × 24 × 5 + 36 = 1440 + 36 = 1476 cm²

6 0
3 years ago
Hi if you can give me a clear explanation that would be great! :)
eimsori [14]

The distance of point a from translated b is 9.2 units and the distance of point b from translated b is 3.6 units

<h3>What is a line?</h3>

A line is the distance between two points.

Analysis:

point a( -3,1) point b(2, -6) point translated b(-1, -8)

Distance ab = \sqrt{(x2 - x1)^{2}  + (y2 - y1)^{2} }

Distance ab = \sqrt{(-1--3)^{2} + (-8-1)^{2}  } = 9.21 units

Distance btb = \sqrt{(-1-2)^{2} + (-8- -6)^{2}  } = 3.6 units

In conclusion, the distance of b from a is 9.2 units and b from b is 3.6 units.

Learn more about distance between two points: brainly.com/question/7243416

#SPJ1

8 0
2 years ago
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