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Alex73 [517]
2 years ago
12

Find the total area for the regular pyramid T.A. =

Mathematics
1 answer:
Stolb23 [73]2 years ago
4 0

Answer:

The answer to your question is At = 48 + 36\sqrt{3}

Step-by-step explanation:

Area = Area of the base + Lateral area

a) Area of the base

    Area = length x height / 2

    length = 12

    height² = 12² - 6²

                 = 144 - 36

                 = 108

    height = \sqrt{108} = 6\sqrt{3}

    Area = 12 x 6\sqrt{3} / 2

              = 36\sqrt{3}

b) Lateral area

   height² = 10² - 6²

                = 100 - 36

                = 64

   height = 8

   Area = 12 x 8/2

            = 48

c) Total area

   At = 48 + 36\sqrt{3}

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zavuch27 [327]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Solve the quadratic equation by factoring. 9x^2+24x+20=4
const2013 [10]

D. -4/3

Let's solve your equation step-by-step.

9x2+24x+20=4

Step 1: Subtract 4 from both sides.

9x2+24x+20−4=4−4

9x2+24x+16=0

Step 2: Factor left side of equation.

(3x+4)(3x+4)=0

Step 3: Set factors equal to 0.

3x+4=0 or 3x+4=0

x= −4 /3

Hope This helps

5 0
3 years ago
there is a 20% discount with a set of tires in normally sells for $368. How much will be tires cost after the discount?
ICE Princess25 [194]
Same as before, if we take 368 to be the 100%, how much is 20% off that?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
368&100\\
d&20
\end{array}\implies \cfrac{368}{d}=\cfrac{100}{20}\implies \cfrac{368\cdot 20}{100}=d

so, the discount is that much, thus, the discounted price is then 368 - d.
8 0
3 years ago
38 POINTS!!!!
3241004551 [841]

Hello from MrBillDoesMath!

Answer:

Perimeter = 60

Height =  18/5

Discussion:

The diagonals of a rhombus  bisect each other at right angles. So a rhombus can be viewed as the union of 4 congruent right triangles, each with legs (1/2)*18 = 9 and (1/2) *24 = 12. See attachment. This gives a hypotenuse length of 15 so the Perimeter = 4 *c = 60.

The height ( = altitude) of a rhombus is

            = area                    / length of base

            = (1/2)  ( (18) * 24) /c

            = (1/2) ( 18 * 24) / 60

            = 18/5

Thank you,

MrB

7 0
3 years ago
Given that z is a standard normal random variable, find the value of z for each situation. a. The area to the right of z is 0.01
otez555 [7]

Answer: =1.34

Step-by-step explanation:

In standard density curve

P(Z<z) = Area left of z, P(Z>z) = area right of z.

P(Z<z) +P(Z>z) =1

Given:  z is a standard normal random variable.

To find : value of z if rea to the right of z is 0.01.

i.e. P(Z>z) =0.01

P(Z<z) =1-0.01 = 0.09

from z-score table, z value for this is 1.34.

Hence, z= 1.34

8 0
2 years ago
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