Estimate the area of the inregular shape. Explain your method and show your work.
Please help 100 points and brainliest

Answer:

2

Step-by-step explanation:

you just divide 8 by 4 love:)

Answer:

just 2 outcomes

Step-by-step explanation:

no matter how often you throw it, there are only two sides available

The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

Answer:

9.52% probability of getting both candies green

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the candies are selected is not important. They are also selected without replacement. So we use the combinations formula to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Find the probability of getting both candies green

Desired outcomes:

2 green, from a set of 5. So

\(D = C_{5,2} = \frac{5!}{2!3!} = 10\)

Total outcomes:

2 from a set of 4+5+6 = 15. So

\(T = C_{15,2} = \frac{15!}{2!13!} = 105\)

Probability:

\(p = \frac{D}{T} = \frac{10}{105} = 0.0952\)

9.52% probability of getting both candies green

Answer:

6g + 6h

Step-by-step explanation:

6(g+h) = 6×g + 6×h

Answer:

The answer is -10 sorry if im wrong

Answer:

Children=21 Adult=35

Step-by-step explanation:

[using c for children tickets and a for adult tickets]

56=c+a and 203=3c+4a [starting system of equations]

a=56-c ---> 203=3c+4(56-c) [plugging the first eq. into the second]

203=3c+224-4c [simplify]

-21=-c [simplify 2.0]

c=21 [simplify 3.0]

56=21+a [plugging back into org. eq.]

so a=35

If John solved the equation x² - 10x + 8 = 0 by completing the square, one of the steps in his process would be: A. (x - 5)² = 17.

In Mathematics, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

x² - 10x + 8 = 0

x² - 10x = -8

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² - 10x + (-10/2)² = 8 + (-10/2)²

x² - 10x + 25 = -8 + 25

x² - 10x + 25 = 17

By simplifying, we have;

(x - 5)² = 17

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Answer:

72

Step-by-step explanation:

Don't worry my friend, we have the power of order of operations!!

Okay, so first start by replacing the variables with the given numbers.

a(b - 1)^2 = 8(4 - 1)^2

Now do whats in the parentheses.

(4 - 1) =  (3)

Next, we do 3 x 3 . This is because the three is squared.

(3)^2 = 9

Finally, multiply by 8.

8 (9) = 72

Hope this helped! Please comment wether it does or not. :)

Step-by-step explanation:

Number A

x/5 = 3

x = 3 × 5

x = 15

Number B

x/2 = 8,5

x = 8,5 × 2

x = 17

Answer:

10

Step-by-step explanation:

7+15/5

Answer:

10

Step-by-step explanation:

subsitute

7+15/5=10

The approximate area in square feet of the side panel is 146.4 ft²

Area can be defined as the size of a surface. In other words it is defined as the space occupied by a shape.

Therefore, area of a triangle can be described as follows:

where

b = base

h = height

Using trigonometric ratio, let's find the height of the right angle triangle. Therefore,

sin 30° = opposite / hypotenuse

sin 30° = h / 26

cross multiply

h = 26 × 1 / 2

h = 13 ft

Let's find the base of the triangle using Pythagoras theorem. Therefore,

c² = a² + b²

where

c = hypotenuse

a and b are the other 2 legs.

Therefore,

26² - 13² = b²

b² = 676 - 169

b = √507

b = 22.5166604984 ft

Area of the side panel = 1 / 2 × 22.5166604984 × 13

Area of the side panel = 292.716586479 / 2

Area of the side panel = 146.35829324

Area of the side panel = 146.4 ft²

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The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Answer: 4/15

Step-by-step explanation:

3 hours=

3*60 minutes=180 minutes

48:180=

(24*2):(90*2)=

(12*2*2):(45*2*2)=

(4*3*2*2):(15*3*2*2)=4/15

Answer:

0.25 kilometers

Step-by-step explanation:

250 meters = 0.25 kilometers

I hope this helps you!

Ms. Jaffey put approximately 85.7 ounces of pretzels into each bowl.

To find out how many ounces of pretzels Ms. Jaffey put into each bowl, we need to divide the total number of ounces by the number of bowls.

Ms. Jaffey had a total of 428.5 ounces of pretzels, and she distributed them equally among 5 bowls. Therefore, we can divide the total number of ounces by 5 to determine the amount in each bowl.

428.5 ounces ÷ 5 bowls = 85.7 ounces.

So, Ms. Jaffey put approximately 85.7 ounces of pretzels into each bowl.

Since it's unlikely to have exact measurements when dividing a total quantity into equal parts, we round the result to one decimal place, giving us 85.7 ounces. This means that each bowl contains approximately 85.7 ounces of pretzels.

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Given:

The number of students in the class is n = 12.

The number of groups formed is k = 4

The number of students in each group is h = 3.

Explanation:

The formula for the number of ways to divide n students in k groups with each group has h students is,

Substitute the values in the formula to determine the number of ways.

So teacher can divide 12 students in 4 different groups such that each group has 3 students is 15400 ways.

Answer:

Step-by-step explanation:

#3 - not proportional

#4 - proportional

#5 - y = 3.5x

#6 - y=1/4x

The assumption in answering the question is that no student scored 0

From the question, we have the following parameters that can be used in our computation:

The bar chart

On the bar chart, we hae

Students that score more than 8 = 5

Students in the class = 33

The (b) is calculated by considering all students that score more than 0 from the histogram

This means that the assumption is that no student scored 0

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Answer:

The least common multiple of 12a^4b^2c^5 and 40a^3b^7c^1, is 1

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

calculate slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

consider the middle dotted line

with

(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line

m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1

consider the line of reflection ( the solid line )

with

(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line

m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1

Answer:

80°

Step-by-step explanation:

sides of angle =180°

y= 180-(45+55) = 80°

x=y because x is vertically opposite to y

therefore x =80°

Answer:

oehfinefnefikvds

Step-by-step explanation:

okokokoko

The expression sin²x/(1+cosx) can be simplified to 1-cosθ

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Recall that sin²x = 1 - cos²x. Thus, we have:

sin²x/(1+cosx) = (1-cos²x) / (1+cosx)

                      = (1²-cos²x) / (1+cosx)

                      = (1+cosx)(1-cosx) / (1+cosx)

                      = 1-cosx

                      = 1-cosθ        (If x = θ)

Note: Using difference of two squares, 1²-cos²x = (1+cosx)(1-cosx)

Therefore, the expression sin²x/(1+cosx) can be simplified to 1-cosθ

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Answer:

9.    \(35^{2}\) or 1225

12.    \(15^{2}\)  or  225

Step-by-step explanation:

Put 5 instead of b

9.   \((7b)^{2}\)

   = \((7 * 5)^{2}\)

  = \(35^{2}\) or 1225

12.  \((3b)^{2}\)

    = \(( 3 * 5)^{2}\)

    = \(15^{2}\)  or  225

The width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.

What is width in rectangle ?

In a rectangle, the width refers to the measurement of the shorter side of the rectangle, which is perpendicular to its length.

Let x be the width of the blanket in inches. Then the length of the blanket is x + 18 inches.

The area of the blanket is given by:

Area = Length x Width

5760 sq inches = (x + 18) inches * x inches

Expanding the right-hand side and solving for x, we get:

\(x^2 + 18x - 5760 = 0\)

We can solve this quadratic equation using the quadratic formula:

\(x = (-b \pm \sqrt{(b^2 - 4ac)}) / 2a\)

where a = 1, b = 18, and c = -5760. Plugging in these values, we get:

\(x = (-18 \pm \sqrt{(18^2 - 4(1)(-5760))}) / 2(1)\)

\(x = (-18 \pm \sqrt{(18^2 + 23040)}) / 2\)

x ≈ 67.42 or x ≈ -85.42

Since the width cannot be negative, the width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.

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