a radioactive materal has a half- life of 60 months. How much of a 1000g sample would remain after 42 months?

The required value of the NK in the given figure is NK = 12.

In geometry, a chord is a line segment that connects two points on the circumference of a circle. The two endpoints of the chord lie on the circle, and the chord divides the circle into two segments - the major segment and the minor segment.

Here,

From the figure,
Apply Pythagoras' theorem,
KL² = NL² + NK²
15² = 9² + NK²
NK = √144
NK = 12

Thus, the required value of the NK in the given figure is NK = 12.

Learn more about chords here:

https://brainly.com/question/8944240

#SPJ1

Answer:

Step-by-step explanation:

multiply the botom olf the pick by the side of the pink and then add all the side of the blue

Answer:

180 degrees

Step-by-step explanation:

A whole circle is 360 degrees and 3/6 of that (or 1/2) is 180 degrees. I hope this helps!

Answer:

[tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

The first circle is: 3/3

The second circle is: 3/3

The last circle is: 2/3

We just add them all up:

3/3 + 3/3 + 2/3 = 8/3 or [tex]2\frac{2}{3}[/tex]

Answer:

23

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

The cotangent function is defined as cot x = adj / opp.

The terminal side of 270 degrees is the lower half of the y-axis.  The adj side is zero (0) and the opp side is -1;

Therefore, cot (-270 degrees) = adj / opp = 0/(-1) = 0

The required answer is cot(-270°) is undefined

Given that cot(-270°).

To evaluate cot(-270°) without a calculator, use the trigonometric properties and definitions.

First, let's recall the definition of the cotangent function. The cotangent of an angle is defined as the ratio of the adjacent side to the opposite side in a right triangle.

cot(theta) = adjacent side / perpendicular

When we consider -θ, it represents a reflection or rotation of θ about the origin. This reflection does not affect the ratio of the adjacent side to the opposite side in a right triangle.

Thus, cot(-θ) = cot(θ).

In this case, dealing with an angle of -270°. Since angles can be measured counterclockwise, -270° represents a rotation of 270° clockwise from the positive x-axis.

At -270°, the terminal side of the angle lies on the negative y-axis.

cot(-270°) = cot(270°)

Since 360° - 270° equals 90°, cot(360° - 270°) = cot (90°)

At 90°, the terminal side of the angle lies on the positive y-axis.

In a right triangle formed with the terminal side of the angle, the adjacent side and the opposite side are both zero.

Since the cotangent is the ratio of the adjacent side to the opposite side, and both sides are zero in this case, the cotangent of -270° is undefined or "not defined."

Therefore, cot(-270°) is undefined.

Learn more about trigonometric functions and angles click here:

https://brainly.com/question/15290400

#SPJ6

Answer:

Area = 34 cm squared

Step-by-step explanation:

First,

Top = 5

Bottom = 5

Left side = 2

Right side = 2

Front = 10

Bottom = 10

Total = 34

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

This is just looking for 40% of 30 people, so 30 * 0.4 should give you the answer, 12 people.

Answer:

122

Step-by-step explanation:

The first thing to notice is that <EBC and <ABE form a straight line. This means they are a linear pair, also known as complementary. So, when they are added together they will equal 180 degrees. Therefore, to solve, set up and solve the algebraic equation, 180=58+x. When 58 is subtracted from both sides, you are left with x=122.

Answer:

6w-24

Step-by-step explanation:

You would distribute 6 into the parentheses, which would turn (w-4) to 6w-24

Answer:

(w - 4)6

Step-by-step explanation:

its the same exact thing but if you're looking for the simplified version then it's 6w-24

Answer:

Mrs. Delgado purchased 6 notebooks and 2 packages of pens.

Step-by-step explanation:

Given that Mrs. Delgado purchased notebooks at 2 for $ 5 and pens at $ 2 per package, and she spent $ 19 for a total of 8 items, to determine how many notebooks and pens did she buy the following calculation must be performed:

5/2 = 2.5

8 x 2.5 + 0 x 2 = 20

6 x 2.5 + 2 x 2 = 19

Therefore, Mrs. Delgado purchased 6 notebooks and 2 packages of pens.

Answer:

y = -3x + 13

Step-by-step explanation:

y - 4 = -3(x - 3)

y - 4 = -3x + 9

y = -3x + 9 + 4

y = -3x + 13

Answer:

23.94 ounces

Step-by-step explanation:

To determine the ounces poured. Convert, 708 ml to ounces

1 ml = 0.033814 ounces

0.033814 ounces x 708 = 23.94 ounces

Answer:

Step-by-step explanation:

F(x)=-8x-4. G(x)= x+3

-8x-4-x-3=-9x-7

Answer:

x = 4

Step-by-step explanation:

Using the sine or cosine ratio.

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2}{x}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

x = 4

Answer:

Step-by-step explanation:

pc ma chu so online theye na no mobile so cant reply sorry

Step-by-step explanation:

The width of the cylinder might also be the diameter of its circular faces, and half of the diameter is the radius. So, dividing the width by 2 might give you the radius.

Answer:

It is important so that people don't get hurt by the natural disasters.

Step-by-step explanation:

I just used common sense..

Hope this helps! :)

Answer:

x = 4, y = 12

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral sum to 180° , then

25x - 2 + 7y - 2 = 180

25x + 7y - 4 = 180 ( add 4 to both sides )

25x + 7y = 184 → (1)

--------------------------

22x + 7 + 7y + 1 = 180

22x + 7y + 8 = 180 ( subtract 8 from both sides )

22x + 7y = 172 → (2)

Subtract (2) from (1) term by term to eliminate y

3x + 0 = 12

3x = 12 ( divide both sides by 3 )

x = 4

Substitute x = 4 into either of the 2 equations and solve for y

Substituting into (1)

25(4) + 7y = 184

100 + 7y = 184

7y = 84 ( divide both sides by 7 )

y = 12

Answer:

x³ + 11x² + 18x

Step-by-step explanation:

(x² + 2x)(x + 9)

Step 1: Distribute x²+2x into x + 9.

x³ + 2x² + 9x² + 18x

Step 2: Combine like terms.

x³ + 11x² + 18x

The area of this rectangle is x³ + 11x² + 18x.

Answer:

Area= height x width = (x + 9) (x^2 + 2x) = x^3 + 2x^2 + 9x^2 + 18x = x^3 + 11 x^2 + 18x

Step-by-step explanation:

The height is (x + 9) and the width is (x^2 + 2x) and the the area of the rectangle is equal to: Area= height x width = (x + 9) (x^2 + 2x) = x^3 + 2x^2 + 9x^2 + 18x = x^3 + 11 x^2 + 18x

Answer:

1A) 114°

1B) adjacent and supplementary

Step-by-step explanation:

1A)  m∠m = 180 - 66

1B) adjacent angles share a common side

the sum of supplementary angles add to 180°

Answer:

1 i think hope this can help you with your problem

Answer:

1

Step-by-step explanation:

Answer:

1. 3

2. depends on the lenght of each cube i dont know so just multiply it with 3

3. same here or by 2 i dont know which side to get the width of sorry

4. 9

Step-by-step explanation:

Answer:

Correct Answer would be C

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

(10+9) = 19

19×8 =152

when you divide 152by8 you still get 19 which is the sum of 10+9