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horrorfan [7]
3 years ago
5

Simultaneous Equation (x+5)(x+2)=65 , xy=24 Plssss help me ✌

Mathematics
1 answer:
Ne4ueva [31]3 years ago
7 0

Answer:

  • (-11.70, -2.05), (4.70, 5.10)

Step-by-step explanation:

<u>Given equations</u>

  • (x+5)(x+2)=65
  • xy=24

<u>Solving the first equation for x:</u>

  • (x+5)(x+2)=65
  • x^2 + 7x + 10 = 65
  • x^2 + 7x - 55 = 0
  • x = (-7 ± √(49+4*55))/2
  • x = -11.70, x = 4.70

<u>Then solving for y:</u>

  • y= 24/(-11.7) = -2.05
  • y = 24/4.7 = 5.10

<u>Solution set: </u>

  • (-11.70, -2.05), (4.70, 5.10)
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A can is 4 inches wide and 8 inches tall. To the nearest whole number, what is the area of a label that wraps around the can if
Yakvenalex [24]

Answer:

The area of a label is 62.8\ in^{2}

Step-by-step explanation:

we know that

The lateral area of a cylinder (label of the can) is equal to

LA=2\pi rh

we have that

A can is 4 inches wide

so

The diameter of the can is 4 inches

r=4/2=2\ in ----> the radius is half the diameter

h=8-3=5\ in ----> height of the label

substitute in the formula

LA=2(3.14)(2)(5)=62.8\ in^{2}

5 0
4 years ago
Volume and Surface Area<br><br> Math help 100 points
kondor19780726 [428]
Part 1) we have that
volume smaller solid=512 cm³
volume larger solid=2197 cm³

we know that
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scale factor=∛[volume larger solid/volume smaller solid]
scale factor=∛[2197/512]-----> scale factor=1.625


Part 2) 
the ratio of the surface areas is equal to [scale factor]²
1.625²-------> 2.64

Part 3)
surface area smaller solid=960 cm²
then
surface area larger solid=scale factor²*surface area smaller solid
surface area larger solid=[1.625]²*960-----> 2535 cm²
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3 0
3 years ago
Read 2 more answers
Please help me and I’ll give you brainiest!!!!!!!!!
barxatty [35]

Answer:

137

Step-by-step explanation:

because you have to add the nubers

5 0
3 years ago
I need help with this question ASAP ! ASAP!!!!!! PLEASE!
irina1246 [14]

Answer:

One Triangle = 2.09 in²

Two Triangles = 4.18 in²

Rectangle = 17.48 in²

Total area of whole trapezoid = 21.66 in²

Step-by-step explanation:

Since it was not clarified which region is shaded we will just find the area of each individual part of the shape.

Let's start with the triangles.

1. To find the area of a triangle, the formula is  \frac{1}{2} b*h. It is given that the base of one triangle is equal to 1.1 in and the height is equal to 3.8 in., so in the equation, it would look like:

\frac{1}{2} * 1.1 * 3.8 = 2.09 in²

2. So now that we know one triangle is equal to 2.09 in², we now know that the other triangle is equal to the same area. To find the total of the two triangles you need to multiply the area by 2:

2.09 *2=4.18 in²

Moving on to the rectangle...

1. To find the area of the rectangle we need to use the formula base times height or b x h. It is given that the height is 3.8 in while the length is 4.6 in. So in the equation it would look like:

4.6 * 3.8 = 17.48 in²

Now to find the total area of all shapes combined...

1. To do this, we just need to add up all the areas we found, so...

17.48 + 4.18 = 21.66 in²

3 0
2 years ago
e movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answ
Nimfa-mama [501]

9514 1404 393

Answer:

  4·10 +4·5 = 6·12 -6·2

Step-by-step explanation:

Each outside factor multiplies each inside term.

  4(10 +5) = 6(12 -2)

  4·10 +4·5 = 6·12 -6·2

3 0
3 years ago
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