Find two numbers whose difference is 16 and whose product is a minimum. (Enter your answers as a comma-separated list.)

Answer:

B) 306°

Step-by-step explanation:

1. Pentagons have a sum of interior angles of 540°

2. Triangles have a sum of interior angles of 180°

3. Knowing that triangle EFA is isosceles, we know that

   <FEA = *<FAE, so they are equal to:  (180° - <F) /2   =   (180° - 36°) / 2

   = 144° / 2  

   = 72°

4. m<A + m<B + m<C + m<D + m<E = 540°

   It is also given that **m<D = 90°,

   so therefore m<A + m<B + m<C + m<E = 450°

5. Now to find a+b+c+d   (m<a + m<b + m< c+ m<d),

       m<a = m<E - 72°    and    m<d = m<A - 72°

   This means that

   m<a + m<b + m< c+ m<d = (m<A - 72°) + m<B + m<C + (m<E - 72°) = 450°

6. Finally,

m<a + m<b + m< c+ m<d  =  450° - 72° - 72°  =  306°

EXTRAS

* < is an angle symbol

** m<D means measure of angle D

The height of the prism [tex]\approx 2.9[/tex]

The whole volume of the prism is

[tex]\text{Volume} = \text{Area of base}\times \text{Height}[/tex]

Here, the volume is 38 cu. in.

From the question, the area and the height are related as follows;

[tex]\text{Height} = \text{Area} - 10 \implies \text{Height + 10} =\text{Area}[/tex]

Substituting this into the formula for the volume, we get

[tex]\text{Volume}=(\text{Height} +10)\times \text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}-38=0[/tex]

If the above quadratic equation is solved for the height, we get

[tex]\text{Height}\approx 2.9[/tex]

(We can't take the other solution since height has to be greater than zero)

Another word problem on volume can be found in this link: https://brainly.com/question/17142547

Answer:

k = 9/2

Step-by-step explanation:

Constant of proportionality, k = y/x

given: x/y = 2/9

since k = y/x, therefore, k value will now be inverse of 2/9, which is 9/2

Answer:

slope = - 4 , y- intercept = - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x - 1 ← is in slope- intercept form

with slope m = - 4 and y- intercept c = - 1

Answer:

-4 then -1

Step-by-step explanation:

The number behind the x value is the gradient and the last number is the y - intercept.

Answer:

5 i think

Step-by-step explanation:

The trapezoid's height (h) is 4 mm(millimeters).

Formula to calculate a trapezoid's height;

2 x Area ÷ by A(short base) + B(large base)

[tex]2 - \frac{x+1}{x-2} - \frac{x-4}{x+2} = \frac{2(x-2)(x+2)}{(x-2)(x+2)} - \frac{(x+1)(x+2)}{(x-2)(x+2)} - \frac{(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2(x-2)(x+2)-(x+1)(x+2)-(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2x^{2} -8-x^{2}-3x-2-x^{2} +6x-8 }{x^{2} -4} \\=\frac{3x+(-18)}{x^{2} -4}[/tex]

so : a = 3   b = -18

ok done. Thank to me :>

Answer:

see image; 200; 400

Step-by-step explanation:

y=20x

graph

.,........................

Answer:

2

Step-by-step explanation:

2 x 2 - 6 + 4

4 - 6 +4

4 - 2

2

Answer:

The answer is B) 851 ÷ 46 = [tex]18 \frac{1}{2}[/tex]

Step-by-step explanation:

851 ÷ 46 = 18.5

[tex]18 \frac{1}{2}[/tex] = 18.5

18.5 = 18.5

Since both are the same result that means that option B is the correct answer.

Answer:

$1.79

Step-by-step explanation:

h + 5f = 8.74 → (1)

2h + 3f = 7.75 → (2)

Multiplying (1) by 3 and (2) by - 5 and adding will eliminate f

3h + 15f = 26.22 → (3)

- 10h - 15f = - 38.75 → (4)

Add (3) and (4) term by term to eliminate f

- 7h = - 12.53 ( divide both sides by - 7 )

h = 1.79

The hamburger cost $1.79

Answer:

5

Step-by-step explanation:

you would need to factor each of the number and they are all in the 5 times table

Answer:

GCF = 5

Step-by-step explanation:

Reason being that all are divisible my 5 and 10 cannot be used because it makes a fraction which is not how the GCF can be found.

Math:

50 = 5 * 10 or 25 * 2 or 50 * 1

15 = 5 *3 or 15* 1

10 = 5 * 2 or 10 * 1

Only thing that is the same is 5, thus 5 is the GCF.

The expressions that can be used to derive the quadratic inequality for the

situation are;

Reasons:

The parameters of the restaurant are;

The charge per buffet = $10

Number of customers that choose the buffet every hour = 16 customers

For an increase in $1 in the cost of the buffet, the customers decrease by 2 per each hour.

The required minimum revenue per hour = $130

Required:

The situation is to be modelled as a quadratic inequality.

Two expressions for the situation, one for the cost and one for the

customers.

Assumption: x = The number of $1 increases in the cost of the buffet

Solution:

The expressions are;

Which gives;

Cost × Customers = Revenue

The inequality that models the situation is therefore;

(10 + x) × (16 - 2·x) ≥ 130

Which gives;

160 - 20·x + 16·x - 2·x² ≥ 130

160 - 4·x - 2·x² ≥ 130

Learn more about inequalities here:

https://brainly.com/question/10081223

Answer:

Cost: 10 + x

Customers: 16 - 2·x

Step-by-step explanation:

I got it right. Hope this helps.

The 14-ounce box is cheaper at a cost of $2.74 than the 10-ounce box.

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

First, we have to find the price for each ounce.

So for the 10-ounce box:

⇒ 2.12 / 10

Apply the division operation,

⇒ $0.212 per ounce.

Now for the 14-ounce box:

⇒ 2.74/ 14

Apply the division operation,

⇒ $0.19 per ounce.

Here the cost of the 14-ounce box is less than the 10-ounce box as 0.19 < 0.21

Therefore, the 14-ounce box is cheaper at a cost of $2.74.

To learn more about the division operation click here :

brainly.com/question/25870256

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the answer is the third option f(2)<g(2)

if we input in 2 in both equations for f(x) we get 48 and for g(x) we get 175

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Domain of f(x) ~

[tex] - 6 \leqslant x \leqslant - 1[/tex]

Range of f(x) ~

[tex] - 5 \leqslant x \leqslant - 3[/tex]

Domain of f(x): -6 ≤ x ≤ -1

Range of f(x): -5 ≤ x ≤ -3

Answer:

40.8 ÷ 12 = 3.4

Step-by-step explanation:

---------

The solution of expression 40.8 divide by 12 is, 3.4

The given numbers to divide are,

⇒ 40.8 divide by 12

Let us assume that, a is divided by b,

Then, it can be written as,

⇒ a / b

Hence, We can write as,

⇒ 40.8 / 12

⇒ 408 / 120

⇒ 3.4

Therefore, The solution of expression 40.8 divide by 12 is, 3.4

Learn more about the divide visit:

brainly.com/question/28119824

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Answer:

20400RS

Step-by-step explanation:

Given, Kitchen Size = 15ft * 12ft wall height to be tiled = 5 ft so area of focer walls

= 2* 15+2*5*12

= 150+120=170ft.

Rate is 120/ sq*ft here rate

= 120*170

= 20400RS

Answer:

Step-by-step explanation:

me too i dont know

Answer:

Step-by-step explanation:

Total surface area:

We are given:

Find the value of l:

Use Pythagorean to find the height h of the pyramid:

Find the volume:

Answer:

$6.25

Step-by-step explanation:

divide the weight by price

y=-4/3x-9

hope it helps