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Cerrena [4.2K]
3 years ago
15

Helpp noww pleasee!! 30 pointss

Mathematics
2 answers:
Eva8 [605]3 years ago
7 0

Answer:

78°

Step-by-step explanation:

angle CAW=180-168

angle CAW=12

angle DWB=12 vertically opposite to angle CAW

Sum of angles at a point=360

168+12+12+90+w=360

282+w=360

Collect like terms

w=360-282

w=78

masha68 [24]3 years ago
5 0

Answer:

729

Step-by-step explanation:

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DeSean is sorting his toy car collection. ⅔ of the cars are sports cars. ¼ of the remaining toys are pick up trucks. All of the
user100 [1]

Answer:

Fraction of fire trucks = \frac{1}{4}

Total number of toy cars = 16

Step-by-step explanation:

Fraction of sports car = \frac{2}{3}

Fraction of remaining cars =1-\frac{2}{3}=\frac{3-2}{3} =\frac{1}{3}

So,

Fraction of pick up cars = \frac{1}{4}(\frac{1}{3})=\frac{1}{12}

Therefore,

Fraction of fire trucks = \frac{1}{3}-\frac{1}{12}=\frac{4-1}{12}=\frac{3}{12}=\frac{1}{4}

That is Number of fire trucks = \frac{1}{4} ( Total number of toy cars )

Number of fire trucks = 4

Total number of toy cars = 4(4)=16

3 0
3 years ago
Apply The Remainder Theorem, Fundamental Theorem, Rational Root Theorem, Descartes Rule, and Factor Theorem to find the remainde
Over [174]

9514 1404 393

Answer:

  possible rational roots: ±{1/3, 2/3, 1, 4/3, 2, 3, 4, 6, 12}

  actual roots: -1, (2 ±4i√2)/3

  no turning points; no local extrema

  end behavior is same-sign as x-value end-behavior

Step-by-step explanation:

The Fundamental Theorem tells us this 3rd-degree polynomial will have 3 roots.

The Rational Root Theorem tells us any rational roots will be of the form ...

  ±{factor of 12}/{factor of 3} = ±{1, 2, 3, 4, 6, 12}/{1, 3}

  = ±{1/3, 2/3, 1, 4/3, 2, 3, 4, 6, 12} . . . possible rational roots

Descartes' Rule of Signs tells us the two sign changes mean there will be 0 or 2 positive real roots. Changing signs on the odd-degree terms makes the sign-change count go to 1, so we know there is one negative real root.

The y-intercept is 12. The sum of all coefficients is 22, so f(1) > f(0) and there are no positive real roots in the interval [0, 1]. Synthetic division by x-1 shows the remainder is 22 (which we knew) and all the quotient coefficients are all positive. This means x=0 is an upper bound on the real roots.

The sum of odd-degree coefficients is 3+8=11, equal to the sum of even-degree coefficients, -1+12=11. This means that -1 is a real root. Synthetic division by x+1 shows the remainder is zero (which we knew) and the quotient coefficients alternate signs. This means x=-1 is a lower bound on real roots. The quotient of 3x^2 -4x +12 is a quadratic factor of f(x):

  f(x) = (x +1)(3x^2 -4x +12)

The complex roots of the quadratic can be found using the quadratic formula:

  x = (-(-4) ±√((-4)^2 -4(3)(12)))/(2(3)) = (4 ± √-128)/6

  x = (2 ± 4i√2)/3 . . . . complex roots

__

The graph in the third attachment (red) shows there are no turning points, hence no relative extrema. The end behavior, as for any odd-degree polynomial with a positive leading coefficient, is down to the left and up to the right.

4 0
3 years ago
Find solution of the equation 3sin^2x-7sinx+2=0
Goshia [24]
Simplife3^2 to 9
9x-7+2=0
9x-7+2to 9x-5
9x-5=0
add 5 to both sides 9x=5
Divide both sides by 9
x=5/9
7 0
3 years ago
HELP Solve for x and PS
ANTONII [103]

Answer:

PS = 84.5 , x = 43.75

Step-by-step explanation:

Since RQ is congruent to PS, PS is 2x - 3

SR: 4x + 1

Extra at the bottom: 4

4x + 1 + 4 = 180

4x + 5 = 180

    - 5     - 5

4x = 175

/4     /4

x = 43.75

Plug in for PS

2 (43.75) - 3

87.5 - 3

84.5

I hope this helps!

4 0
3 years ago
Rita is hiking along a trail that is 13.7 miles long. So far she has hiked ond tenth of the trail.
lesantik [10]

Answer: 1.37 miles

Step-by-step explanation:

13.7=100%

13.7/10=1.37=10%=1/10

7 0
3 years ago
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