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8_murik_8 [283]
3 years ago
5

Find the surface area of the prism 12in 4 in 3in 5in 5in 6in​

Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

Answer:

Area of trapezoid:

12 + 6<-- your two bases of the trapezoid = 18

18 x 4 = 72, 72 divided by 2 = 36

now we multiply by 2 since there are 2 trapezoids:

36 x 2 = 72

Area of rectangle in front:

6 x 3 = 18

Area of the 2 rectangles on the sides:

5 x 3 = 15

(multiply by 2 since there are two rectangles on both sides)

15 x 2 = 30

Area of rectangle on the back:

12 x 3 = 36

Now lets add up all the areas:

72 + 18 + 30 + 36 = 156 in2 is your answer.

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A, B and C are collinear points. B is between A and C. AB=12 BC=18 AC=3x Find X.
SCORPION-xisa [38]

Answer:

x =10

Step-by-step explanation:

Given

AB = 12

BC = 18

AC = 3x

Required

Solve for x

Since B is in between both points, then:

AC = AB + BC

This gives

3x = 12 + 18

3x = 30

Divide by 3

x =10

3 0
3 years ago
Solve the polynomial inequality x^2-3x-10&gt;0
djverab [1.8K]

As x² - 3x - 10 factors, we can use the zero product property and pull it apart into factors. It factors because 2 and 5 have a difference of 3 and product of 10

x² - 3x - 10 > 0

(x - 5)(x + 2) > 0

To find where the inequality is true, we use a sign test. When x-5 > 0, it means x >5, and 5 is one of our sign test values. Similarly, -2 is the other. We can then make three intervals - A (less than -2), B (between -2 and 5), and C (more than 5).

<--------------- -2 ------------------ 5 -------------------------->

A B C

To do a sign test, we choose values to see what happens. First, test x = -5.

(-5 - 5)(-5 + 2) = (-10)(-3) = 30. Because 30 > 0, the inequality is true for x < -2. So interval A is true.

Next, test x = 0.

(0 - 5) (0 + 2) = (-5)(2) = -10. Because -10 < 0 is false, the inequality is false for x > -2 and x < 5. So interval B is false.

Last, test x = 10

(10 - 5) (10 + 2) = (5) (8) = 40. Because 40 > 0 is true, the inequality is true for x > 5. So interval C is true.

We put the true intervals together.

(-∞, -2) ∪ (5, ∞) is where this inequality is true,

{x : x < -2 or x > 5} is also how it's said in set notation.

7 0
3 years ago
Please hurry I need this fast
erastovalidia [21]
I think it’s 20




Hope this helps
6 0
3 years ago
Helpp<br> Which expression is equivalent to the given expression?
lakkis [162]

Answer:

photo is not clear

take screenshot.after zoom

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3 0
2 years ago
Read 2 more answers
The answer to this question
oee [108]
If the cell phone company charges a flat $40 fee monthly, then the equation would be y = 40.


The company does charge $40 a month, but also charges $2 per minute out of service area (x).

So the equation is y = 2x + 40

To graph this linear function, plug in values for x then plot the plots. Then draw a line to connect the points.

y = f(x)

f(0) = 40
f(1) = 42
f(2) = 44
f(3) = 46
f(4) = 48
f(5) = 50

So at x=0, draw a point at y=40 and so on.






6 0
3 years ago
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