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andrey2020 [161]
2 years ago
15

Is x + 2 is a factor of P(x) = 2x3 + 5x2 + 5x + 6? If so,

Mathematics
1 answer:
Klio2033 [76]2 years ago
4 0

Answer:

yes

P(x) = (x + 2)(2x² + x + 3)

Step-by-step explanation:

see attachment for step by step

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Suppose that you are a teacher with a total of 100 students 10 among them come from a disadvantaged and their average in year 1
IceJOKER [234]

Answer:

  89/100

Step-by-step explanation:

The average weighted by the number of students is ...

  (90(0.90) +10(0.80))/100 = (81 +8)/100 = 89/100

4 0
3 years ago
simplify 1 76/100 if you can thank you and I love you also I will thank you and refer all my friends to you look up how to basic
Galina-37 [17]
The answer is 1 19/25.

8 0
3 years ago
Round to the nearest 10th if necessary
Lana71 [14]

Answer:

38.7°.

Step-by-step explanation:

from trigonometrical ratios

SO TO CA

H A H.

Tan°=opposite/adjacent.

Tan°=48/60

Tan°=0.8000

°= Tan-1(0.8000)

°=38.65°≈38.7°

6 0
3 years ago
1. Write out the law of cosines and find the hypotenuse of triangle with 2 sides lengths equal to three and the included angle m
LUCKY_DIMON [66]

Answer:

1.) \sqrt{13.341}  ≈ 3.652

2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.

Step-by-step explanation:

I think we may have the same class so hopefully this helps:

1.) a^2 = b^2 + c^2 - 2bccosA --> law of cosines formula.

   a^2 = 3^2 + 3^2 - 2(3)(3)cos(75) --> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.

   a^2 = 18 - 18cos75 --> in between steps.

   a^2 = 13.341 --> more simplifying.

   a(hypotenuse) = \sqrt{13.341} or 3.652 --> answer

2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.

Good luck! :)

   

6 0
3 years ago
A central angle of a circle measures 1.5 radians. If the radius of the circle is 3 cm, what is the area of the related sector?
soldi70 [24.7K]

Answer:

Option B. 6.75\ cm^{2}

Step-by-step explanation:

we know that

The area of a circle is equal to

A=\pi r^{2}

we have

r=3\ cm

substitute

A=\pi (3^{2})=9 \pi\ cm^{2}

Remember that

2\pi radians subtends the complete circle of area 9 \pi\ cm^{2}

so

by proportion

Find the area of the related sector for a central angle of 1.5 radians

Let

x------> the area of the related sector

\frac{9 \pi}{2\pi}\frac{cm^{2}}{radians} =\frac{x}{1.5}\frac{cm^{2}}{radians}\\ \\x=9*1.5/2\\ \\x= 6.75\ cm^{2}

7 0
3 years ago
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