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victus00 [196]
3 years ago
10

What is the product of the polynomials below? (x-9)(x+2)

Mathematics
2 answers:
Leno4ka [110]3 years ago
5 0
(x-9) (x+2)=x²+2x-9x-18=x²-7x-18
kaheart [24]3 years ago
4 0
Use distributive property: a(b +/- c) = ab +/ ac.

(x - 9)(x + 2) = (x)(x) + (x)(2) - (9)(x) - (9)(2) = x² + 2x - 9x - 18

= x² -7x -18
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A circular swimming pool has a radius of 15 ft. There is a path all the way around that pool that is three feet wide. What is th
daser333 [38]

Answer:

The radius of the circle with the circumfrence we need to find is 15+3=18.

18*2pi=113.04

4 0
3 years ago
How many sixths are there in 6 1/3
trasher [3.6K]
1/3=2/6 so
6=36/6 and you add 2/6 and 36/6 to get 38/6 or 19/3
Or 38 sixths
7 0
3 years ago
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What is the measure of RPQ
patriot [66]

Answer:

239

Step-by-step explanation:

SP is the diameter so Arc RP is supplementary to Arc SR

31 + x = 180

x = 149

Arc PQ is supplementary to Arc SQ so

90 +  x = 180

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Arc Addition:

149 + 90 = 239

8 0
3 years ago
Suppose that 4 fair coins are tossed. Let Equals The event that exactly 2 coins show tails and Equal The event that at least 2 c
faust18 [17]

Answer:

a) P ( E | F ) = 0.54545

b) P ( E | F' ) = 0

Step-by-step explanation:

Given:

- 4 Coins are tossed

- Event E exactly 2 coins shows tail

- Event F at-least two coins show tail

Find:

- Find P ( E |  F )

- Find P ( E | F prime )

Solution:

- The probability of head H and tail T = 0.5, and all events are independent

So,

                    P ( Exactly 2 T ) = ( TTHH ) + ( THHT ) + ( THTH ) + ( HTTH ) + ( HHTT) + ( HTHT)  = 6*(1/2)^4 = 0.375

                    P ( At-least 2 T ) = P ( Exactly 2 T ) + P ( Exactly 3 T ) + P ( Exactly 4 T) = 0.375 + ( HTTT) + (THTT) + (TTHT) + (TTTH) + ( TTTT)

      = 0.375 + 5*(1/2)^4 = 0.375 + 0.3125 = 0.6875

- The probabilities for each events are:

                    P ( E ) = 0.375

                    P ( F ) = 0.6875

- The Probability to get exactly two tails given that at-least 2 tails were achieved:

                    P ( E | F ) = P ( E & F ) / P ( F )

                    P ( E | F ) = 0.375 / 0.6875

                    P ( E | F ) = 0.54545

- The Probability to get exactly two tails given that less than 2 tails were achieved:

                    P ( E | F' ) = P ( E & F' ) / P ( F )

                    P ( E | F' ) = 0 / 0.6875

                    P ( E | F' ) = 0                

6 0
2 years ago
Steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. If the ramp make a 30° angle wi
scoray [572]

Answer:

6.25 feet.

Step-by-step explanation:

Please find the attachment.

Let L be the length of the ramp in feet.  

We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.

We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.

\text{Sine}=\frac{\text{Opposite}}{\text{Hypotenuse}}

Upon substituting our given values in above formula we will get,

\text{Sin(30)}=\frac{37.5}{L}

L=\frac{37.5}{\text{Sin(30)}}

L=\frac{37.5}{0.5}

L=75

Therefore, the length of the ramp is 75 inches.

Let us convert the length of ramp in feet.

1 feet = 12 inches.

\text{75 inches}=\frac{75\text{ inches}}{\frac{12\text{ inches}}{\text{feet}}}

\text{75 inches}=\frac{75\text{ inches}}{12}\times \frac{\text{ feet}}{\text{inches}}

\text{75 inches}=\frac{75}{12}\times\text{ feet}

\text{75 inches}=6.25\text{ feet}

Therefore, the length of the ramp is 6.25 feet.

7 0
3 years ago
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