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Vaselesa [24]
2 years ago
6

Find the lateral area of a cylinder

Mathematics
2 answers:
Dovator [93]2 years ago
7 0

Answer:

314 cm^2

Step-by-step explanation:

(=^w^=)

A= 2*pi*r*h

A=2*pi*5*10

A=314.16 cm^2

Illusion [34]2 years ago
6 0

Step-by-step explanation:

2×5×10=

10×10= 100 cm²

=100 cm²

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Simplify the expression.
yuradex [85]

Answer:

16 {( \frac{1}{2} x)}^{4}  \\  = 16 \times  {( \frac{1}{2}) }^{4}  {x}^{4}  \\  = 16 \times  \frac{1}{16}  {x}^{4}  \\  =  {x}^{4}  \\ thank \: you

5 0
2 years ago
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In 9.3 x 10-8 the exponent is a negative number. Which of these describes the value of a number in scientific notation that incl
WARRIOR [948]

Answer:

0.000000093

Step-by-step explanation:

Theres seven zeros after the decimal

6 0
3 years ago
3.3 A circle has a radius of 12cm. An angle of 3.2 radians is subtended at the centre by an arc. Calculate the length of the arc
Inessa [10]

Answer:

S = 38.4 centimeters.

Step-by-step explanation:

<u>Given the following data;</u>

  • Radius, r = 12 cm
  • Angle = 3.2 rads

To find the length of the arc of a circle;

A full circle measures an angle of 360 degrees.

π = 180°

So; Angle, A = 360° = 2π

Therefore, a full circle is equal to 2π in terms of radians (rads).

Also, the circumference (the length of an arc) of a circle is equal to 2πr or Ar.

Mathematically, the length of the arc of a circle is given by the formula;

S = rA

Where;

  • S is the length of the arc.
  • A is the angle measured in radians.

Substituting into the formula, we have;

S = 12 * 3.2

<em>S = 38.4 centimeters.</em>

3 0
2 years ago
PLEASEEEE ANSWER ASAP!!!!
Reil [10]

Refer to the attached image.

Let the width of the border be 'x' inch.

Area of border = Area of rectangle ABCD - Area of rectangle PQRS

Area of rectangle ABCD = length \times width

= AB \times BC

= (13+2x) \times (9+2x) square units.

Area of rectangle PQRS = PQ \times RQ

= 13 \times 9

= 117 square units.

So, area of border = (13+2x)(9+2x)-117 = 48

As it is given that the area of border is 48 square units.

So, 117+26x+18x+4x^2-117 = 48

44x + 4x^2-48=0

4x^2 + 44x = 48

So, the complete equation is 4x^2 + 44x = 48.

Now, we will find 'x' in the equation x^2+11x-12=0,

x^2 + 12x - x -12 =0

x(x+12)-1(x+12)=0

(x-1) (x+12)=0

So, x = 1 or x = -12

Width can'not be negative.

So, x = 1 .

Therefore, the width of the border can'not be 2.5 inch.

Therefore, the width of the border is 1 inch.

5 0
2 years ago
Cholesterol should be limited to at most 300 mg per day. Fast food hamburgers have high amounts of cholesterol. Two McDonald’s Q
topjm [15]

Answer: 203.5mg and 322.5mg

Step-by-step explanation:

Let represent two serving of Mc Donald quarter pounds with = m

Let three Burger King whopper = b

given:

1). m + b = 300 + 395......equation 1.

1). m + b = 695.

And

2). 3m + b = 288.......... equation 2.

• Using Elimination method, Multiply both sides of eqn.(1) and (2)by 3. then

-3m + 3b = 2084

9m + 3b = 864

Subtract equation (1) from (2).

6m = 1221

Divide both sides by -6

m = 203.5

Substitute (m) into equation 1

3m + b = 288.

3(203.5) + b = 288.

610.5 + b = 288

b = 610.5 - 288

b = 322.5

Two servings of Mc Donald quarter pound has 203.5mg of cholesterol.

Three servings of whopper has 322.5mg of cholesterol.

4 0
2 years ago
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