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3 years ago

12

What is the answer to this problem

1 answer:

Vlad1618 [11]3 years ago

4 0

Answer:

D

Step-by-step explanation:

32-5=27

then you need the the 4p to end up being greater than or equal to 27.

so p would have to be any number about 7.

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Kameryn flips a coin, rolls a 6-sided die, and then spins an 8-section

Levart [38]

Answer:

96 possible outcomes

Step-by-step explanation:

2 x 6 x 8 = 96

8 0

3 years ago

Using this number cube and spinner, which simulation would help you answer this question?

Katen [24]

Probability: Probability of an event to occur is given by:

Probability of Wednesday:

Probability of first day rainy:

Probability that first day is rainy Wednesday:
Let probability
Since these two events are independent

Percentage chances of rainy Wednesday

4 0

3 years ago

Prove the following equation has no solutions.<br><br> 13t+6=12+13t

Alex73 [517]

13t-13t=0
so your left with
6=12
which is a false statement which makes this equation have no solutions

8 0

2 years ago

Identify the polygon with vertices A(5,0), B(2,4), C(−2,1), and D(1,−3), and then find the perimeter and area of the polygon. HE

inn [45]

Answer:

Part 1) The polygon is a square

Part 2) The perimeter is equal to $20\ units$

Part 3) The area is equal to $25\ units^{2}$

Step-by-step explanation:

we have

$A(5,0), B(2,4), C(-2,1),D(1,-3)$

Plot the points

see the attached figure

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$A(5,0),B(2,4)$

substitute in the formula

$d=\sqrt{(4-0)^{2}+(2-5)^{2}}$

$d=\sqrt{(4)^{2}+(-3)^{2}}$

$d=\sqrt{25}$

$AB=5\ units$

Find the distance BC

$B(2,4), C(-2,1)$

substitute in the formula

$d=\sqrt{(1-4)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$BC=5\ units$

Find the distance CD

$C(-2,1),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-4)^{2}+(3)^{2}}$

$d=\sqrt{25}$

$CD=5\ units$

Find the distance AD

$A(5,0),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(1-5)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$AD=5\ units$

we have that

AB=BC=CD=AD

Find the distance BD (diagonal)

$B(2,4),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-4)^{2}+(1-2)^{2}}$

$d=\sqrt{(-7)^{2}+(-1)^{2}}$

$BD=\sqrt{50}\ units$

<em>Verify if the polygon is a square</em>

If the triangle BDA is a right triangle, then the polygon is a square

Applying the Pythagoras theorem

$BD^{2}=AD^{2}+AB^{2}$

substitute

$(\sqrt{50})^{2}=5^{2}+5^{2}$

$50=50$ -----> is true

so

The triangle BDA is a right triangle

therefore

The polygon is a square

<em>Find the Area of the polygon</em>

The area of a square is equal to

$A=b^{2}$

we have

$b=5\ units$

$A=5^{2}=25\ units^{2}$

<em>Find the perimeter of the polygon</em>

The perimeter of a square is equal to

$P=4b$

we have

$b=5\ units$

$P=4(5)=20\ units$

6 0

2 years ago

Colby made $66.50 for mowing 7 lawns. Let x represent the number of lawns mowed and y represent the amount of money earned. Writ

Amanda [17]

Answer:

x = 9.5y

Step-by-step explanation:

7 lawns = $66.50

1 lawn = $66.50 ÷ 7

= $9.50

You now know that for one lawn mowed, the amount of money earned is $9.50. Thus:

1x = 9.5y

x = 9.5y

6 0

2 years ago