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Answer:

c. 125.6

Step-by-step explanation:

Pi= 3.14

r= d/2 = 40/2 = 20

[tex]2\pi \: r[/tex]

= 2 × 3.14 × 20

=125.6

Answer:

186.45 cm^3

Step-by-step explanation:

Given data

Side lenght of cube block= 8cm

Radius of cylindrical hole= 3.6cm

Volume of entire Shape= l^3

Volume of entire Shape= 8*8*8

Volume of entire block= 512cm^3

Volume of cylindrical hole= πr^2h

Volume of cylindrical hole= 3.14*3.6^2*8

Volume of cylindrical hole= 3.14*12.96*8

Volume of cylindrical hole= 325.55cm^3

Hence the volume of the block

=volume of entire shape- volume of cylinder

=512-325.55

=186.45 cm^3

Answer:

The length of the leg is 11 units.

Step-by-step explanation:

The triangle 45 - 45 - 90 theorem states that the length of the hypotenuse is [tex]\sqrt{2}[/tex] times of the length of any of the legs. Hence, we get the following expression:

[tex]h = \sqrt{2} \cdot l[/tex] (1)

Where:

[tex]l[/tex] - Length of the leg, in units.

[tex]h[/tex] - Hypotenuse, in units.

If we know that [tex]h = 11\sqrt{2}[/tex], then the length of the leg is:

[tex]l = \frac{h}{\sqrt{2}}[/tex]

[tex]l = 11[/tex]

The length of the leg is 11 units.

Answer:

Integration

General Formulas and Concepts:

Calculus

Integration

Step-by-step explanation:

Integration is known as the "opposite" to differentiation. Integration is essential coined "antiderivatives" for being so.

Applications of Integration include finding the area under a curve; area between 2 curves; volumes of revolution; surface area for cartesian, parametric, and polar graphs; arc length for cartesian, parametric, and polar graphs; and the Integral Test for series convergence.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Answer:

-8+5√2 and -8-5√2

Step-by-step explanation:

Given the expression x² + 16x + 14 = 0

USing the general formulas

x = -16±√16²-4(14)/2

x = -16±√256-56/2

x = -16±√200/2

x = -16±10√2/2

x = -8±5√2

Hence the required solutions are -8+5√2 and -8-5√2

Answer:

[tex]Area = 26478cm^2[/tex]

Step-by-step explanation:

Given

See attachment for desk

Required

The area

First, calculate the area of the semicircular cutout

[tex]Area = \frac{\pi r^2}{2}[/tex]

Where

[tex]r = 60cm[/tex]

So:

[tex]A_1 = \frac{3.14 * 60^2}{2}[/tex]

[tex]A_1 = \frac{11304}{2}[/tex]

[tex]A_1 = 5652cm^2[/tex]

Next, the area of the complete trapezium

[tex]Area= \frac{1}{2}(a + b) * h[/tex]

Where

[tex]a = 300[/tex]

[tex]b = 2 * r = 2 * 60 = 120[/tex]

[tex]h = 153[/tex]

So:

[tex]A_2 = \frac{1}{2} * (300 + 120) * 153[/tex]

[tex]A_2 = \frac{1}{2} * 420 * 153[/tex]

[tex]A_2 = 32130cm^2[/tex]

The area of the desk is:

[tex]Area = A_2 - A_1[/tex]

[tex]Area = 32130cm^2 - 5652cm^2[/tex]

[tex]Area = 26478cm^2[/tex]

Answer:

y interpret is 60

slope 60/4=20x

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

5.4'

Step-by-step explanation:

See diagram attached.

The 8' wire is the hypotenuse of the triangle, with a base angle of 42°.

Hence the height is the length of the hypotenuse multiplied by sin(42°)

H = 8sin(42°) = 8 *0.6691 = 5.353'

(see similar or identical question 23903470)

Answer:

(x+9) (x+4)

Step-by-step explanation:

x²+13x+36

x²+9x+4x+36

x(x+9) +4(x+9)

(x+4) (x+9)

Answer:

12barras

Step-by-step explanation:

Hoy vamos a hacer una excursión con la escuela y tuvimos que hacer sándwiches para toda la clase. Si gastamos 2 hogazas de pan para hacer sándwiches para mis 4 hermanos, ¿cuántas hogazas de pan necesitaremos para hacer sándwiches para los 24 estudiantes de la clase?

De la pregunta anterior:

4 personas = 2 barras de pan

24 personas = x

Multiplicar cruzada

4 × x = 24 × 2 barras de pan

x = 24 × 2 barras de pan / 4

x = 12 barras de pan

Answer:

Volume 1758.88 litres

Step-by-step explanation:

[tex]P = 2500. \ r = 4.3\% = \frac{4.3}{100} = 0.043, t = 8\\\\Volume = P(1 - r)^t\\\\[/tex]

            [tex]= 2500(1-0.043)^8\\\\= 2500 \times 0.70355\\\\= 1758.88 \ litres[/tex]

Answer:

8 sq units

Step-by-step explanation:

to find the area of shaded region:

area of square minus sum of areas of each semi-circle

A(square) = 6² = 36

A (semi-circle) = πr²/2

= π3²/2

= 4.5π

Since there are two semi-circles, that makes one complete circle with an area of 9π

A(circle) ≈ 28 sq units

36-28 = 8 sq units

Answer:

Step-by-step explanation:

1/[tex]\sqrt{5}[/tex]

=1[tex]\sqrt{5}[/tex] *[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]

=1*[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]*[tex]\sqrt{5}[/tex]

=1[tex]\sqrt{5}[/tex]/5

Answer:

A

Step-by-step explanation:

The distance between 0 and 4/6 is 4/6. This distance is repeted two times

so we have 4/6 + 4/6 or 2 x 4/6

To Find :

The value of x.

Solution :

We know, when two chords intersect outside the circle.

[tex]21\times ( 21 + 45 ) = x \times ( x+5x)\\\\1386 = 6x^2\\\\x^2 = 231\\\\x = \sqrt{231}[/tex]

Hence, this is the required solution.

Answer:

0.7 repeating is 7/9

0.04 repeating is 4/99

4.45 repeating 4 4/11

2.19191919...... is 2 19/99

hope this helps

have a good day :)

Step-by-step explanation:

Answer: P = 166 units

Step-by-step explanation: Each point on the triangle has lines that are tangent to the circle in the triangle, meaning that those lines form a 90° angle to the middle point in the circle. There is also a rule that states if there are tangent lines coming from the points and if the points have at least one given side length, the other side will have the same side length. So if one side on point D is 41, then the other side connected to the point is 41. I added up all of the side lengths; 41 + 41 + 30 + 30 + 12 +12 = 166 units.

I hope this helps!

Answer:

A regular dog has 4 legs so it has 4 paws. If each paw needs one wipe Jen will need 4 wipes.

Jen will need 4 wipes for each paw

Answer:

function A

Step-by-step explanation:

_______________

Answer:

D) 5/2

Step-by-step explanation:

(3, –1) and (5, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4 + 1)/(5 - 3)

m= 5/2

Answer:

5/2

Step-by-step explanation:

To find the slope, we can use the slope formula

m= (y2-y1)/(x2-x1)

   = (4 - -1)/(5 - 3)

   = (4+1)/(5-3)

   = 5/2

Answer:

7w^3/5v

Step-by-step explanation:

42v^3w^4/30v^4w

42 = 6 * 7

30 = 6*5 , factor

6*7v^3w^4/6*5v^4w

6 is common, cancel

7v^3w^4/5v^4w

simplify w^4/w = w^3

v^3/v^4 = 1/v

therefore, 7w^3/5v is the answer

Answer:

B

Step-by-step explanation:

Domain is the x value and it is asking your for the coordinates with the same x value.

Answer:

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