What shape would this be

Surface area of this right prism

Sphinxa [80]

$\qquad\qquad\huge\underline{{\sf Answer}}$

$\textsf{Let's calculate the surface area of given right prism}$

$\textbf{Area of Triangles :}$

$\sf{\dfrac{1}{2}\cdot 16\cdot 12}$

$\sf{8×12}$

$\sf96 \: \: cm {}^{2}$

$\textsf{Since there are two triangles, }$

$\textsf{Area of Triangles = 96 × 2 = 192 cm²}$

$\textbf{Now, calculate the Areas of rectangles :}$

$\textsf{Area - 1 = 12 × 10 = 120 cm²}$

$\textsf{Area - 2 = 16 × 10 = 160 cm²}$

$\textsf{Area - 3 = 20 × 10 = 200 cm²}$

$\textsf{Now add them all :}$

$\textsf{120 + 160 + 200 + 192}$

$\textsf{672 cm²}$

7 0

2 years ago

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???? i am confusion ????

Bogdan [553]

Answer:

Step-by-step explanation:

$\dfrac{x}{-12}=-0.4\qquad\text{multiply both sides by (-12)}\\\\-12\!\!\!\!\!\diagup^1\cdot\dfrac{x}{-12\!\!\!\!\!\diagup_1}=(-12)(-0.4)\\\\x=4.8$

7 0

3 years ago

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Factor completely.<br> 16n^6+40n^3+25

Andru [333]

Answer:Step 1 :

Equation at the end of step 1 :

((16 • (n6)) + (23•5n3)) + 25

Step 2 :

Equation at the end of step 2 :

(24n6 + (23•5n3)) + 25

Step 3 :

Trying to factor by splitting the middle term

3.1 Factoring 16n6+40n3+25

The first term is, 16n6 its coefficient is 16 .

The middle term is, +40n3 its coefficient is 40 .

The last term, "the constant", is +25

Step-1 : Multiply the coefficient of the first term by the constant 16 • 25 = 400

Step-2 : Find two factors of 400 whose sum equals the coefficient of the middle term, which is 40 .

-400 + -1 = -401

-200 + -2 = -202

-100 + -4 = -104

-80 + -5 = -85

-50 + -8 = -58

-40 + -10 = -50

-25 + -16 = -41

-20 + -20 = -40

-16 + -25 = -41

-10 + -40 = -50

-8 + -50 = -58

-5 + -80 = -85

-4 + -100 = -104

-2 + -200 = -202

-1 + -400 = -401

1 + 400 = 401

2 + 200 = 202

4 + 100 = 104

5 + 80 = 85

8 + 50 = 58

10 + 40 = 50

16 + 25 = 41

20 + 20 = 40 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 20 and 20

16n6 + 20n3 + 20n3 + 25

Step-4 : Add up the first 2 terms, pulling out like factors :

4n3 • (4n3+5)

Add up the last 2 terms, pulling out common factors :

5 • (4n3+5)

Step-5 : Add up the four terms of step 4 :

(4n3+5) • (4n3+5)

Which is the desired factorization

Trying to factor as a Sum of Cubes :

3.2 Factoring: 4n3+5

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :

(a+b) • (a2-ab+b2)

Proof : (a+b) • (a2-ab+b2) =

a3-a2b+ab2+ba2-b2a+b3 =

a3+(a2b-ba2)+(ab2-b2a)+b3=

a3+0+0+b3=

a3+b3

Check : 4 is not a cube !!

Step-by-step explanation: I believe that is the answer because i got it right.

6 0

3 years ago

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Arlene buys a phone case and charging cord for 15% off. The original cost of the phone case is $18. Her total discount is $4.20.

mel-nik [20]

Answer: $10

Step-by-step explanation:

Assume the price of the phone case is x.

Assume the price of the charging cord is y.

Discounted price for phone case : 15% * x

= 0.15x

Discounted price for charging cord = 0.15y

Expression is therefore:

0.15x + 0.15y = 4.20

0.15 * 18 + 0.15y = 4.20

2.7 + 0.15y = 4.20

0.15y = 4.2 - 2.7

y = 1.5/0.15

y = $10

5 0

3 years ago

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Which of the following is not true when using the confidence interval method for testing a claim about μ when σ is unknown? Cho

sp2606 [1]

Answer:

The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results ( A )

Step-by-step explanation:

The False statement about using the confidence interval method when testing a claim about μ when σ is unknown is ; The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results

This is because sometimes the values gotten from the p-value and confidence interval differs and this occurs mostly when the sample size is very small.

3 0

3 years ago