MATHEMATICS HIGH SCHOOL

The cone and cylinder below have equal surface area. True or false.

Answers

Answer 1

Answer:

False

Step-by-step explanation:

SA of cone = pi×r×l + pi×r²

= pi×r×(3r) + pi×r²

= 3pi×r² + pi×r²

= 4pi×r²

SA of cylinder = 2pi×r×h + 2pi×r²

= 2pi×r×2r + 2pi×r²

= 4pi×r² + 2pi×r²

= 6pi×r²

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The diameter of a cylinder is 6 feet 6 inches. The height of a cylinder is 12 feet 3 inches.

What is the surface area? (feet squared)

What is the volume? (feet cubed)

Answers

$d-the\ diameter\nr-the\ radius\nH-the\ height\n\nd=6ft\ 6$

Which equation does not have the same solution as the others?x/4 = 2,
x - 9 = 17,
x + 12 = 20,
2x = 16.

Answers

If you would like to know which equation doesn't have the same solution as the others, you can calculate this using the following steps:

x/4 = 2 ... x = 4 * 2 = 8

x - 9 = 17 ... x = 17 + 9 = 26

x + 12 = 20 ... x = 20 - 12 = 8

2 * x = 16 ... x = 16/2 = 8

The correct result would be x - 9 = 17.

$(x)/(4)=2\nMultiply\ by\ 4\ on\ both\ sides.\nx=2*4\n{\boxed{x=8}$

$\n\nx-9=17\nAdd\ 9\ on\ both\ sides.\nx=17+9\n{\boxed{x=26}$

$x+12=20\nSubtract\ 12\ on\ both\ sides.\nx=20-12\n{\boxed{x=8}$

$2x=16\nDivide\ by\ 2\ on\ both\ sides.\nx=(16)/(2)\n{\boxed{x=8}$

$\sf\ The\ only\ equation\ that\ did\ not\ have\ the\ same\ solution\ as\ the\nothers\ was\n {\boxed{x-9=17}$

$x + 4.5 = 6.15$
Solve For X.

Answers

ANSWER: I think it’s x= 1.10

The answer x = 1.65 hope this helps

How many factors in the expression 8(x +4) (y +4) (z 2 + 4z + 7) have exactly two terms?

Answers

From the expression 8(x +4) (y +4) (z 2 + 4z + 7),
the factors are 8, (x+4), (y+4), (z^2 + 4z + 7) since each of these factors, when you divide that to the whole expression won't give a remainder.

Answer:

Only 2 factors have exactly two terms i.e, (x+4)(y+4)

Step-by-step explanation:

Given : Expression $8(x+4)(y+4)(z^2+4z+7)$

To find : How many factors in the expression have exactly two terms?

Solution :

Expression $8(x+4)(y+4)(z^2+4z+7)$ cannot be further factorized.

Now, We count the terms in each factor.

1) Factor- 8

Only 1 term i.e, 8 itself.

2) Factor- x+4

Two terms .i.e., x and 4

3) Factor- y+4

Two terms .i.e., y and 4

4) Factor- $z^2+4z+7$

Three terms .i.e., $z^2$ , 4z and 7.

Therefore, Only 2 factors have exactly two terms i.e, (x+4)(y+4).

If f(x) = x² – 3, where x is an integer, which of the following could be a value of f(x)?a. 6
b. 0
c. -6

It would be great if you could add a few words of explanation

Answers

$f (x) = x^2 - 3 \n \n a.\ 6 \n \nf(x)=6\n \n 6=x^2-3\n \n6+3= x^2$

$x^2=9 \n \nx^2-9=0\n \n(x-3)(x+3)=0 \n \nx-3=0 \ \ or \ \ x+3 =0 \n \nx=3 \ \ or \ \ x= -3 \n \n Answer : \ Possible .$

$b.\ \ 0 \n \nf(x)=0\n \n 0=x^2-3\n \n(x-√(3)) (x+√(3))=0 \n \n x-√(3)=0 \ \ or \ \x+√(3) =0$

$x=√(3) \ \ or \ \x=-√(3) \n \nAnswer : \ x \ is \ not \ an \ integer,\ not \ possible$

$c.\ \ -6 \n \nf(x)= -6\n \n -6=x^2-3\n \n x^2=-6 +3 \n \nx^2=-3\n \nAnswer: \ square \ of \ an \ integer \ can \ not \ be \ negative$

What number is 164,502,423 decreased by 100,000

Answers

If we decrease 164,502,423 by 100,000 we get 164,402,423

164,502,423 - 100,000 = 164,402,423

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For the first 3 years of a horse's life, the weight, w (in kilograms), of the horse approximately fits the formula w(t)=30+170t, where t is the age of the horse in years. Which of the following is the most accurate interpretation of the slope of the line represented by this formula? A. The slope is 170. This means that the horse gains an average of 170 kilograms per year for the first 3 years of its life. B. The slope is 30. This means that the horse gains a total of 30 kilograms in the first 3 years of its life. C. The slope is 30. This means the horse gains on average 30 kilograms per use for the first 3years of its life. D. The slope is 170. This means that the horse gains a total of 170 kilograms in the first 3 years of its life.

Solve the equation. 2.2= z - 1.1 z=?