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Answer:

3.  SA =  876 [tex]in^{2}[/tex]

4.  SA =  161 [tex]ft^{2}[/tex]

Step-by-step explanation:

       Number 3.

To find the total Surface Area, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

       To find side lengths:

Assuming the back triangle (24, 10 in) is congruent to the front triangle (26in.): First, Knowing the Pythagorean triples or the Pythagorean theorem, we can conclude that the short bottom leg in the triangle on the right (6, 10, x in) is     8 in.                                                                                                               Secondly, to find the leg of the triangle with a hypotenuse of 24 inches, we subtract: 26 - 8 = 18 in.

Now we know all the (needed) side lengths.

       To find the Surface Area:

Total SA  =  (12 x 26) + (12 x 24) + (12 x 10) + 2 x ((6 x 18 x 0.5) + (6 x 8 x 0.5))

               =  312 + 288 + 120 + 2 x (54 + 24)  =  720 + (2 x 78)

               =  876 [tex]in^{2}[/tex]

       Number 4.

Same Idea: To find the Total SA, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

Assuming the back triangle (7ft) is congruent to the front triangle (5x5 ft), then in this case, we already know all the needed side lengths.

       To find the Surface Area:

Total SA  =  2 x (8 x 5) + 2 x (5 x 5 x 0.5) + (7 x 8)

               =  80 + 25 + 56

               =  161 [tex]ft^{2}[/tex]

Answer:

[tex]x=\frac{y-3}{2y-3}[/tex]

Step-by-step explanation:

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

First, subtract 2 from both sides:

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

Multiply both sides by (1 - 2x):

[tex]y-2(1-2x)=1+x\\y-2xy-2+4x=1+x[/tex]

Subtract 1, subtract x, and add 2xy to both sides:

[tex]y-3+3x=2xy[/tex]

Subtract 3x from both sides:

[tex]y-3=2xy-3x[/tex]

Factor out the x:

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

Finally, divide both sides by (2y-3):

[tex]x=\frac{y-3}{2y-3}[/tex]

Keep in mind that this is undefined at y=1.5. The original equation is also undefined at 0.5.

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Answer:

9.3+ b= 14.5

Step-by-step explanation:

Answer:

2.4 cups of flour or 2 2/5 cups of flour

Step-by-step explanation:

(1/3) divided by 5 = 0.06666666666

3 dozen = 36

0.06666666666 x 36 = 2.4

also, did you mean to make 5 dinner rolls?

I think it might be  (B) 7

Answer:

A and B

Step-by-step explanation:

becuz

gradient=∆ in y values /∆ in x values

Step-by-step explanation:

pick any two points through which the line is passing through then label the values (any) x¹ and y¹ then x² and y². then subtract y²-y¹/x²-x¹

Answer:

See answer below

Step-by-step explanation:

Finding the measure of each angle.

The sum of the angles in a triangle = 180°

(9x - 8) + (x + 10) + (3x + 2) =  180°

13x + 4 = 180

13x = 180 - 4

13x = 176

x = 176/13

Angle 1 = 9x - 8                     Angle 2 = x + 10                  Angle 3 = 3x +2

             = 9(176/13) - 8                        = 176/13 + 10                        = 3(176/13) + 2

             ≈ 113.8°                                   ≈   23.5°                               ≈ 42.6°

Answer:

-3

Step-by-step explanation:

-3 × 4 = -12

-12 + 10 = -2

Answer:

Step-by-step explanation:

Solve for h.

h - 6 =  7

h = 7 + 6

h = 13

------------------

check

13 - 6 = 7

7 = 7

the answer is good

So, this one is pretty easy. Since h-6=7, you just add 6 and 7 and subtract 6 to find the answer, like this.

6+7=13

13-6=7

and h=13

Easy, huh?

Answer:

it should be C

Step-by-step explanation:

hope this is helpful

Answer:

sorry what? the photo is not clear

Step-by-step explanation:

dude the photo

plz brainliest

Answer:

x=48 because 180-156=24. 108+24=132 180-132=48

2500 hot dogs must be sold to  make a profit

If they can sell 5000 hot dogs at $4 per dog, the selling price for the 5000dogs will be expressed as:

SP= 4 * 5000

SP = 4 + 0.25x

Total number hot dog sold = 5000 - 200x

Revenue = Sales price*Total number hot dog sold

When the price is increased by $0.25 then the revenue will be expressed as [tex]g(x) = (4+0.25x) (5000 - 200x)[/tex]

Taking the product, the resulting function will be;

[tex]g(x) = -50x^2 + 1250x + 20000[/tex]

To get the maximum profit, we need to maximize the revenue by differentiating the function and equating it to zero to have:

[tex]g'(x) = -100x + 450\\0=-100x + 1250\\100x = 1250\\x = 12.5[/tex]

Substittute x = 12.5 into the total number hot dog sold function

Recall that n = 5000 - 200x

n = 5000 - 200(12.5)

n = 5000 -  2500

n = 2500

Hence 2500 hot dogs must be sold to  make a profit

Learn more here: https://brainly.com/question/19594550

Answer:

y = 2.2x - 11

Step-by-step explanation:

Slope: 2.2

y-intercept: 0 - (2.2)(5) = - 11

Answer:

top one is 8x bottom is 9

Step-by-step explanation:

Answer:

[tex]x = \frac{-8 +\sqrt{190} }{2}[/tex] or x = 5.7840

Step-by-step explanation:

All the angles of a triangle add up to 180°, so we can solve this using the following equation:

180 = (x^2 + 34) + (6x + 4) + (10x + 10)

180 = x^2 + 34 + 6x + 4 + 10x + 10

Now, let's combine like terms:

180 = x^2 + (6x + 10x) + (34 + 4 + 10)

180 = x^2 + 16x + 54

Subtract 180 from both sides:

0 = x^2 + 16x - 126

And solve using the quadratic formula:

[tex]x = \frac{-b +\sqrt{b^{2}-4ac } }{2a}\\x = \frac{-16 +\sqrt{16^{2}-4(1)(-126) } }{2(1)}\\x = \frac{-16 +\sqrt{256+504 } }{2}\\x = \frac{-16 +\sqrt{760} }{2}\\x = \frac{-16 +2\sqrt{190} }{2}\\\\x = \frac{-8 +\sqrt{190} }{2}\\[/tex]

And we can approximate this as a decimal, if needed:

x = 5.7840

Answer:

y=8.

Step-by-step explanation:

1) if according to the condition slope=0, then the slope-interception form of the required equation is: y=i, where i - interception;

2) if according to the condition the point (4;8) belongs to the required equation, then the required equation is: y=8

Answer:

t = (A - P) / Pr

Step-by-step explanation:

A = P + Prt

A - P = Prt

(A - P) / Pr = t

t = (A - P) / Pr

Answer:

To make students question their existence

Step-by-step explanation:

Answer:

what do you mean by x?

Step-by-step explanation: