A scalene triangle has the lengths 6, 11, and 12. Keyla uses the law of cosines to find the measure of the largest angle. Complete her work and find the measure of angle Y to the nearest degree.

Duncan is putting icing on the top of a rectangular cake if the top of the cake is 6 inches wide by 10 inches long what is the area of the top of the cake

A. 80 square inches

B.60 square inches

C.30 square inches

D. 120 square inches

Answer:

B- 60 square inches

Answer: [tex]30[/tex]

Step-by-step explanation:

Given

[tex]k(x)=2x+3[/tex]

[tex]M(x)=3x^2+7x-10[/tex]

[tex]M\left(k(x)\right)[/tex] is given by replacing the [tex]x[/tex] by [tex]k(x)[/tex] from the [tex]M(x)[/tex]

[tex]\Rightarrow M\left(k(x)\right)=3(2x+3)^2+7(2x+3)-10\\\Rightarrow M\left(k(x)\right)=3(4x^2+9+12x)+14x+21-10\\\Rightarrow M\left(k(x)\right)=12x^2+50x+38[/tex]

Now, [tex]M\left(k(-4)\right)[/tex] is

[tex]\Rightarrow M\left(k(-4)\right)=12(-4)^2+50(-4)+38\\\Rightarrow M\left(k(-4)\right)=192-200+38\\\Rightarrow M\left(k(-4)\right)=30[/tex]

Find k if (x+1) is a factor of 2x³ + kx² + 1

k = 1

The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.

This is because;

i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.

ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e

=> (-3)² - 9

=> (9) - 9 = 0

Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.

From the question

Given polynomial: 2x³ + kx² + 1

Given factor: x + 1.

Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e

2(-1)³ + k(-1)² + 1 = 0

2(-1) + k(1) + 1 = 0

-2 + k + 1 = 0

k - 1 = 0

k = 1

Therefore the value of k is 1.

Answer:

F.

Step-by-step explanation:

Answer:

9 seconds

Step-by-step explanation:

When the ball reaches the ground, the height, h(t), is 0. Might as well make the numbers easier to work with - since for the x-intercepts (t-intercepts), h(t) = 0, you can divide the entire equation by the greatest common factor, in this case -16, to make things better:

[tex]0=-16t^2+128t+144\\0=t^2-8t-9[/tex]

Now you can solve this any way you like, such as by using:

[tex]\frac{-b \± \sqrt{b^2-4ac}}{2a}\\[/tex]

This is an easy polynomial though, and you may be able to factor it just by eyeballing it:

[tex]0=t^2-8t-9\\0=(t-9)(t+1)\\t=9,-1[/tex]

You can't have negative time, so we reject -1, leaving only 9 as the answer.

Answer:

Step-by-step explanation:

Answer:

x = 9.32

Step-by-step explanation:

For a right angles triangles , we can use trigonometry equations :-

In this case , we need to use sine equation in perpendicular :

sin θ = opposite side / hypotenuse

sin 58° = x / 11

x = sin 58 ° × 11

x = 0.84 × 11

x = 9.32852906

Round nearest tenth = 9.32

Answer:

Step-by-step explanation:

[tex] \frac{(p + q {)}^{2} }{(p + q {)}^{2}(p - q) } [/tex] ( cancel common factors)

Answer:

23 thousandths. = 23 ÷ 10^3

9+4 × (6÷3) > (9+4×6) ÷ 3

5 tens + 2 hundredths. < 50.20

810.6 ÷ 10. = 8.106 × 10

Answer:

c

Step-by-step explanation:

If he could clean the house alone in one hour, then it wouldve taken him and his sister less than that. if he could clean it in 3 hours, it wouldve tkane him and his sister 1.5 hours.

Answer:

Step-by-step explanation:

c. 6 hours

Answer:

D. Closure

Step-by-step explanation:

D. Closure

Answer:

(1,1)

Step-by-step explanation:

In the equation f(x), you are plugging in the x coordinate which in this case is one. That means in 1/4f(x), x will remain the same, because you are still plugging in the same thing. What will change is the y coordinate. 1/4f(x) is saying that the y coordinate will be a fourth of the original y coordinate(4). 4 times 1/4 is equal to one.

If the x coordinate stays the same, and the y coordinate is a fourth of 4, the corresponding points in the function f(x) will be (1,1)

Answer:

f(x)-3x+5 and g(x)=4+5 is it true ?Step-by-step explanation:

Answer:

y = 4/1 + 0

Step-by-step explanation:

we rise 4 units up and move 1 unit to the right

and the y intercept is 0 because its exactly in the center of x and y axis

Answer:

[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]

Step-by-step explanation:

Given

[tex]x_1 = -2[/tex]

[tex]x_2 = 3[/tex]

[tex](x,y) = (-1,2)[/tex] --- a point on the parabola

Required

The equation

First, calculate the equation from the zeros

[tex]y =k(x - x_1)(x - x_2)[/tex]

Substitute [tex]x_1 = -2[/tex] and [tex]x_2 = 3[/tex]

[tex]y =k(x - -2)(x - 3)[/tex]

[tex]y =k(x +2)(x - 3)[/tex]

To solve for k, we substitute [tex](x,y) = (-1,2)[/tex]

[tex]2 = k(-1+2)(-1-3)[/tex]

[tex]2 = k(1)(-4)[/tex]

[tex]2 = -4k[/tex]

Divide by -4

[tex]k=\frac{2}{-4}[/tex]

[tex]k=-\frac{1}{2}[/tex]

So, the equation is:

[tex]y =k(x +2)(x - 3)[/tex]

[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]

Answer:

C

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

they are same side interior angles so both add up to 180 so just subtract 124 from 180 to get 56

Answer:

Step-by-step explanation:

b(a + 1) + a = b*a + b + a = ab + b + a

1) b(2a +1 ) = b*2a + b*1 = 2ab + b  Not equivalent.

2)a + (a +1)*b = a + ab+ b     Equivalent

3) (a +1)(b+ a) = a*(b +a) + 1*(b+a) = ab+ a² +b + a  Not equivalent.

4) (a + 1)b + a = ab+ b + a   Equivalent

5) a + b(a+1) = a +ab + b Equivalent

6) a + (a +1) + b = a + a + 1 + b = 2a + 1 +b  Not equivalent.

7) a(b +1) + b = ab + a + b  Equivalent

Answer:

range = 10

Step-by-step explanation:

The range is the difference between the largest and smallest values in the data set.

largest value = 12

smallest value = 2

range = 12 - 2 = 10

Answer:

336 Peanuts

112 Walnuts

Step-by-step explanation:

So first, you can not change the order of the items in a ratio. So the 224 raisins will be in the middle.

It will look like _ : 224 : _

Next, divide 224 by 2 to get the number of walnuts, the number on the right.

So the number on the right will be 112.

Next, multiply 112 by 3 to get 336.

Answer:

x = 39°

Step-by-step explanation:

51° + 90° = 141°

180° - 141° = x

x = 39°

They often don't label the 90° angle, so watch out for that in the future

Hey there!

ASSUMING….
-14.4 = -1.2m

-1.2m = -14.4

DIVIDE -1.2 to BOTH SIDES

-1.2m/-1.2 = -14.4/-1.2

SIMPLIFY IT!

m = -14.4/-1.2

m = 12

Therefore, the answer should be:

m = 12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

I think that's 25 though I have no assurance

Answer:

Well, in geometry, the properties would be that the angles produced by the intersection of the diagonals are right angles. A kite is basically entertainment, made by cloth and string

A kite is a four sided shape. Like an elongated rectangle.a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other instead of being adjacent. Kite quadrilaterals are named for the wind-blown, flying kites, which often have this shape and which are in turn named for a bird. Kites are also known as deltoids, but the word "deltoid" may also refer to a deltoid curve, an unrelated geometric object.Kites have been used for human flight, military applications, science and meteorology, photography, lifting radio antennas, generating power, aerodynamics experiments, and much more.

Given:

The parent function is:

[tex]f(x)=2^x[/tex]

The other function is:

[tex]g(x)=2f(x)[/tex]

To find:

The statement that describes a key feature of function g.

Solution:

We have,

[tex]f(x)=2^x[/tex]

[tex]g(x)=2f(x)[/tex]

Using these two functions, we get

[tex]g(x)=2(2)^x[/tex]

Putting [tex]x=0[/tex], we get

[tex]g(x)=2(2)^{(0)}[/tex]

[tex]g(x)=2(1)[/tex]

[tex]g(x)=2[/tex]

The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.

We know that [tex]g(x)\to 0[/tex] as [tex]x\to -\infty[/tex] and it will never intersect the line [tex]y=0[/tex]. It means the horizontal asymptote of the function g is

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

65+50=115

180-115=65

Answer:

The Total Value of Expenses is $14,350

Step-by-step explanation:

AMOUNT

Depreciation Expense $ 2,000

Wage Expense $ 10,950

Interest Expense $ 500

Supplies Expense $ 500

Utility Expense $ 400

TOTAL $ 14,350

Answer:

a. $1.50 per pound of weight.

b. C

Step-by-step explanation:

a. explanation:

1. pounds is increasing by +4 and dollars are increasing by +6.00

 2. as a fraction it is 6/4.

  3. simplified is 1 1/2 or 1.50

b. explanation

1. we know that the slope (or rate of change) is $1.50 /per pound of weight.

 2. 4 - 4 = 0; $11.00 - 6.00 = $5.00

  3. 0, $5.00

   4. The y-int. is $5.00

    5. answer is C

I think it's the second one since the line goes the whole way through the circle. but it's hard to tell.

do you happen to know if it's the radius it diameter?

Answer:

Step-by-step explanation:

radius=diameter/2

=11/2

=5.5 mm

circumference=2πr

=2*3.14*5.5

=34.54 mm

Answer:

it would be 0.7 got it right when i done it

Step-by-step explanation:

Answer: real answer is 0.278

Step-by-step explanation:

Answer:

(A). y = ( x - 3 ) ( x + 4 )

Step-by-step explanation: