7. Which equation can be used to find V, the
volume of the triangular prism in cubic feet?
6
17
10

Answer:

x+7x2+3x+2=6x+1+−5x+2

Step-by-step explanation:

Simplify the expression: x+7x2+3x+2=x+7(x+1)(x+2)

The form of the partial fraction decomposition is

x+7(x+1)(x+2)=Ax+1+Bx+2

Write the right-hand side as a single fraction:

x+7(x+1)(x+2)=(x+1)B+(x+2)A(x+1)(x+2)

The denominators are equal, so we require the equality of the numerators:

x+7=(x+1)B+(x+2)A

Expand the right-hand side:

x+7=xA+xB+2A+B

Collect up the like terms:

x+7=x(A+B)+2A+B

The coefficients near the like terms should be equal, so the following system is obtained:

{A+B=12A+B=7

Solving it (for steps, see system of equations calculator), we get that A=6, B=−5

Therefore,

x+7(x+1)(x+2)=6x+1+−5x+2

Answer: x+7x2+3x+2=6x+1+−5x+2

Answer:

A) P(Green) = 1/8, 0.125, 0r 12.5%

P(Orange) = 1/2, 0.5, or 50%

B) P(Not Yellow) = 3/4, 0.75, or 75%

Step-by-step explanation:

A) P(Green) = 1/8, 0.125, 0r 12.5%

P(Orange) = 1/2, 0.5, or 50%

B) P(Not Yellow) = 3/4, 0.75, or 75%

Answer:

A)5

D) Z

I dunno

D) X

number 68 I dunno sorry

Answer:

66) A) 5

67) D) Z

68) D) T

69) D) X

Answer:

8.76

Step-by-step explanation:

$26.28 ÷3=8.76

since 26.38 is the total amount of all the 3 pizzas then we would have to divide 26.28 by the amoun of pizzas that was bought, which is 3, and you will get your answer

Answer:

the coordinates of the point of x and y is -1÷ 2 and -√3÷ 2

Step-by-step explanation:

The computation of the coordinates of the point is shown below:

The angle is

= 4π ÷ 3

The radius is 1 unit

Now

x = rcos[tex]\theta[/tex], and y = rsin[tex]\theta[/tex]

Now

x = 1cos(4π ÷ 3) = -1÷ 2

y = 1sin(4π ÷ 3) = -√3÷ 2

hence, the corordinates of the point of x and y is -1÷ 2 and -√3÷ 2

Answer: x= -1/2 y= -root3/2

Step-by-step explanation:

Answer:

y = 170

Step-by-step explanation:

68/8 = 8.5

8.5*20 = 170

Answer:

Steps:

given: when x = 8 , y = 20

if x = 68

then y = (68 × 20)/8 = 1360/8 = 170

Answer:

x=22

Step-by-step explanation:

two interior angles = exterior angle

2x+2x+8=3x+30

4x+8=3x+30

x=30-8

x=22

Answer:

y = 88

Step-by-step explanation:

y + 53 + 39 = 180

y + 92 = 180

y = 88

Answer:

44, 45, and 46

Step-by-step explanation:

135-(x+1)=x+(x+2)

135-(x+1)=2x+2

135=3x+3

132=3x

x=44

So the first number is 44

Then just add 1 and 2 to get 45 and 46 as the second and third number.

Answer:

d) 2

because all the figures +2

Step-by-step explanation:

run No of cricket more cumulative less cumulative

0-10 3 3 85

10-20 8 11 82

20-30 19 30 74

30-40 25 55 55

40-50 30 85 30

Answer:

50

Step-by-step explanation:

The sum of angle on a straight line is 180degres, hence;

X+3+x+20+x+7 = 180

3x+30=180

3x=180-30

3x = 150

X = 150/3

x = 50

Hence the value of x is 50

Answer:

total perimeter =14+23+9+11+23-11=69cm×1/30=2.3ft

total cost =perimeter ×rate=2.3×1.65=$3.795

Answer:

The perimeter of a rectangle is 2L + 2W, where L and W are the length and width, respectively. The dimensions of the garden are given, 6 x 12 ft.

Step-by-step explanation:

hope it help :):):):):):)

Answer:

y=60

Step-by-step explanation:

1) Find x

All the interior angles of a triangle add up to 180 degrees. Knowing this, we can construct the following equation:

[tex]180=x+35+25\\180=x+60[/tex]

Subtract 60 from both sides

[tex]180-60=x+60-60\\120=x[/tex]

2) Find y

A straight line has an angle measure of 180 degrees as well. Knowing this, we can construct the following equation:

[tex]180=x+y\\180=120+y[/tex]

Subtract 120 from both sides of the equation

[tex]180-120=y+120-120\\60=y[/tex]

There is also a second way to solve for y: An exterior angle of a triangle is equal to the sum of the opposite interior angles. y, in this case, would be the exterior angle and 35 and 25 degrees would measure the opposite interior angles. To solve for y, we just add 35 and 25, getting us 60 degrees.

I hope this helps!

Answer:

Solution given:

sin 52°=perpendicular/base

sin52°=AB/AC

AC=12/sin52°=15.23is your answer

Answer:

THE ANSWER IS 13:20

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  15/17

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the cosine relation:

  Cos = Adjacent/Hypotenuse

  cos(P) = PQ/PR

  cos(P) = 15/17

This question is incomplete, the complete question is;

You are in a 12-member panel. If two people from the panel are selected to represent the panel, what is the probability you wont be selected.

[ Two decimal places ]

Answer:

The probability that you be selected is  0.83

Step-by-step explanation:

 Given the data in the question;

total number of people in the panel = 12

number of people to be selected from the panel = 2

probability you wont be selected = ?

Number of ways of selecting 2 people from the 12 member panel is;

⇒ ¹²C₂ = 12! / ( 2!( 12 - 2 )! ) = 479001600 / 7257600 = 66

so total number of outcome = 66

Now, number of ways in favor of selecting you and another person from the 12 member panel is;

⇒ ¹C₁ × ¹¹C₁ = [1! / ( 1!( 1 - 1 )! )] × [11! / ( 1!( 11 - 1 )! )] = 1 × 11 = 11

so favorable number of outcome = 11

∴ Probability of selecting you in the panel will be;

⇒ favorable number of outcome / total number of outcome

⇒ 11 / 66 = 1/6

Now, Probability of not selecting you in the panel will be;

⇒ 1 - Probability of selecting you in the panel

⇒ 1 - 1/6

⇒ 0.83

Therefore, The probability that you be selected is  0.83

Answer:

<1  = 35degrees

<2  = 30degrees

Step-by-step explanation:

Using the theorem that the sum of external angle is equal to sum of interior angle

Considering the smaller triangle

Exterior angle = 115 degrees

Sum of interior = <1 + 80

Equating both

<1 + 80 = 115

<1 = 115 - 80

<1  = 35degrees

For the big rectangle

Exterior angle = 115 degrees

Sum of interior = <2 + 85

Equating both

<2 + 85 = 115

<2 = 115 - 85

<2 = 30degrees

Bing + us = Bingus. That's all

Answer:

it's very hard lol

Bing+us

=Bingus

Step-by-step explanation:

oh my gawd... hope it's ryt

thanks lol

Answer:

1. true

2. false

3. false

4. false

5. false

Step-by-step explanation:

Answer:

[tex] (\sqrt[m]{ {x}^{a} } ) ^{b } = \sqrt[m]{ {x}^{ab} } [/tex]