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2 years ago

A ; 1/2. B ; 1/3. C ; 2/3 D ; 4/9

Mathematics

1 answer:

hichkok12 [17]2 years ago

3 0

Option B, 1/3

Since pepper topping can be in any size pizza, it remains as a 1/3 probability, since there are three toppings per size.

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The length of the hypotenuse of a right angled triangle exceeds the length of the base by 2cm and exceeds twice the length of th

insens350 [35]

Answer: a = 8; b = 15; c = 17

Step-by-step explanation:

c = b + 2 and c = 2a + 1

b = c − 2 and a = $\frac{c-1}{2}$

c² = b² + a²

$c^{2} = (c-2)^{2} + \frac{c-1}{2}\\$

$c^{2}= \frac{4 (c-2)^{2}+(c - 1)^{2} }{4}$

$4c^{2}={4 (c^{2} + 4 -4c)+c ^{2} + 1-2c$

$4c^{2}={4 c^{2} + 16 -16c)+c ^{2} + 1-2c$

$c^{2}-18c+17=0$

$c(c -17)-1(c-17)=0$

$(c -1)(c-17)=0$

c = 1 or c = 17

If c = 1 then b = 1 - 2 = -1, that's not possible

So x = 17

b = 17 - 2 = 15

a = $\frac{17-1}{2} = 8$

Length sides of the triangle are 17 cm, 15 cm and 8 cm.

I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

$a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\$

This shows that this is correct.

Hope this helped! Again, some of this was from a site, not from me.

3 0

2 years ago

A spinner is divided into three equal sections labeled 1, 2, and 3. Another spinner is divided into four equal sections labeled

Mrac [35]

9 is the anser trust me i just took the test i hate computer scored test but that is the answer

7 0

2 years ago

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Solve the equation 2p/3-12=-2

-BARSIC- [3]

Hey there!

$\frac{2p}{3} - 12 = -2$

Firstly, we are going add $12$ on each of the sides that we're working with. like ↓

$p - 12 + 12 \\ \\ = -2 + 12$

This gives us $\frac{2}{3}p = 10$ (if you are wondering how we got the out come of $10$ it is because I added $-2 + 12 = 10$

Now multiply $\frac{3}{2}$ on each of your sides

$\frac{3}{2} ( \frac{2}{3}p) \\ \\ = \frac{3}{2} (10)$

Cancel the first set and you will find the value of $p$

$p = 15$

Good luck on your assignment and enjoy your day

~ $LoveYourselfFirst:)$

5 0

2 years ago

Quadrilateral ABCD is inscribed in this circle.

Sunny_sXe [5.5K]

Answer: $m\angle A=116\°$

Step-by-step explanation:

The missing figure is attached.

For this exercise it is important to remember that, by definition, the opposite interior angles of an inscribed quadrilateral are supplementary, which means that their sum is 180 degrees.

Based on this, you can identify that the angle D and the angle B are opposite and, therefore, supplementary.

Knowing that, you can write the following equation:

$x+28\°=180\°$

Now you must solve for "x" in order to find its value. This is:

$x=180\°-28\°\\\\x=152\°$

Then:

$m\angle D=152\°$

You know that:

$m\angle A=(x-36)\°$

Therefore, since you know the value of "x", you can substitute it into $m\angle A=(x-36)\°$ and then you must evaluate, in order to find the measure of the angle A. This is:

$m\angle A=152\°-36\°\\\\m\angle A=116\°$

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2 years ago

Maria used one bag of flour. She baked

adell [148]

Answer:

48 pounds

Step-by-step explanation:

6 0

2 years ago

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