A sphere with a diameter of 16mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter. How high is the cylinder?A. 16 mm
B. 8 mm
C. 18 mm
D. 14 mm

Answers

Answer 1

Answer: $R_(sphere)= (1)/(2) *16=8[mm]\n A_(sphere)=4 \pi R^(2)\n A_(cylinder)=2 \pi R(R+h)\n\n 4\pi R^(2)=2 \pi R(r+h)\n (4\pi R^(2))/(2 \pi R) =r+h\n h= (4\pi R^(2))/(2 \pi R)-R=2R-R=R\n R=8[mm]$

So the answer is B. 8 mm

Answer 2

Answer:

8 mm

Step-by-step explanation:

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What are the solutions of this quadratic equation? x^2+13=8x+37

Answers

The solutions of the quadratic equation x² + 13 = 8x + 37 are x = 4 + 2√10 and x = 4 - 2√10.

What is a quadratic equation?

The quadratic equation is defined as a function containing the highest power of a variable is two.

The given equation as:

x² - 8x + 13 = 37

Subtracting 37 from both sides, we get:

x² - 8x - 24 = 0

Now, we have the equation in standard form, so we can use the quadratic formula to find the solutions:

x = (-b ± √(b² - 4ac)) / 2a

Here, a = 1, b = -8, and c = -24.

Substitute these values into the quadratic formula, and we get:

x = (-(-8) ± √((-8)² - 4(1)(-24))) / 2(1)

x = (8 ± √(64 + 96)) / 2

x = (8 ± √160) / 2

x = (8 ± 4√10) / 2

Simplifying, we get:

x = 4 ± 2√10

Therefore, the solutions of the quadratic equation x² + 13 = 8x + 37 are x = 4 + 2√10 and x = 4 - 2√10.

Learn more about quadratic function here:

brainly.com/question/14083225

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Answer:

$x\in\left\{4-2√(10)\ ,\ \,4+2√(10)\,\right\}$

Step-by-step explanation:

$x^2+13=8x+37\n\nx^2-8x-24=0\n\na=1\,,\ \ b=-8\,,\ \ c=-24\n\nx_1=(-(-8)-√((-8)^2-4\cdot1\cdot(-24)))/(2\cdot1)=\frac{8-√(64+96)}2=\frac{8-√(160)}2 =\n\n=\frac{8-4√(10)}2=\frac{2(4-2√(10))}2=4-2√(10) \n\nx_2=(-(-8)-√((-8)^2-4\cdot1\cdot(-24)))/(2\cdot1)=\frac{8+4√(10)}2=4+2√(10)$

What times what equals 120 and When you add the two numbers they equal 26?

Answers

6 times 20 equals 120 and equals 26 when added together

Simplify: 3x[(2x6-5) + (8\4)] -1 ••••••• The \ means divide

Answers

3 × [(2 × 6 - 5) + (8/4)] - 1
= 3 × [(12 - 5) + 2] - 1
= 3 × (7 + 2) - 1
= 3 × 9 - 1
= 27 - 1
= 26

USE PEMDAS:
P - Parentheses
E - Exponents
M - Multiply
D - Divide
A - Addition
S - Subtraction

7/8=?/ 48 what is the answer

Answers

Let x be the missing number

7/8 = x/48

Cross- multiply

7/8= x/48

(7)*(48) = x*8

336 = 8x

Flip the equation

8x = 336

Divide both sides by 8

8x/8 = 336/8

x= 42

Check my answer

First , replace x by 42

7/8 = 42/48

0.875 = 0.875

I hope that's really help !

A circular garden has a radius of 3 meters what is the area of the garden using pi

Answers

Answer:

It would be 28.27m²

Step-by-step explanation:

93 is the sum of a number g and 58

Answers

Assuming you are hoping to obtain the value of "g", to solve worded algebra problems like these, it is easier to translate the world problem into a mathematical equation first.

In this case, "93 is the sum of a number g and 58" can be translated to:

93 = g + 58

To find the value of g, it is necessary to isolate g first. To do this, we subtract both sides of the equation by 58:

93 - 58 = g + 58 - 58
93 - 58 = g

Simplifying:
g = 35

Answer:

g=35

Step-by-step explanation:

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