Do
The radius of each circle is 9.3 m.
What are the width and length of the
rectangle?
W =
m
1 =
m

Rule: opposite sides are equal/ angles are equal.

Answer:

See below & see pic.

Step-by-step explanation:

To find where a point goes, start with the original point and see how many units it takes to get to the line of reflection in a path perpendicular to that line.

For example, H is 3 units from the line, so go 3 units past the line to find H'.

Do the same for the other points.

You get E'F'G'H' as shown in the figure below.

The first five terms of the sequence are 1, 1, 2, 3, 5.

An arithmetic progression is sequence of numbers in which the difference between the consecutive terms is constant.  

\(a_{1} = 1 = a_{2}\)              ( first two terms given)

\(a_{n} = a_{n-1} +a_{n-2}\)     ( given sequence formula)

\(a_{3} = a_{2}+a_{1}\)            

= 1+1

= 2                           ( third term)

\(a_{4} = a_{3}+a_{2}\)

= 2 + 1

= 3                           (fourth term)

\(a_{5} =a_{4} +a_{3}\)

= 3 + 2

= 5                            (fifth term)

Therefore, we conclude that  the first 5 terms for the sequence

\(a_{n} = a_{n-1} +a_{n-2}\) are 1, 1, 2, 3 and 5.

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Answer:

x = 2

Step-by-step explanation:

From the question we are given the algebraic sign with the Inequality sign

95 - 2x < 7 (15x - 17)

In order to find all the possible values of x that makes the algebraic expression true ,

We solve for this by convert the less than(<) sign to =

A true statement or algebraic expression is when both values on the left hand side and right hand side of and algebraic expression is the same of equal to each other.

Therefore:

95 - 2x = 7 (15x - 17)

95 - 2x = 105x - 119

Collect like terms

95 + 119 = 105x + 2x

214 = 107x

x = 214/107

x = 2

In other to confirm if x = 2 makes the expression true

95 - 2x = 7 (15x - 17)

95 - 2x = 105x - 119

95 - 2 × 2 = 105 × 2 - 119

95 - 4 = 210 - 119

91 = 91

Therefore, the possible values for x that make the statement true is x = 2

Answer:

1. growth

2. decay

3. growth

4. decay

Answer:

Step-by-step explanation:

Growth: anything in the parenthesis that is greater than 100% or 1 | > 1

Decay: anything in the parenthesis that is less than 100% or 1  | < 1

(1 + r) = growth

(1 - r) = decay

r = rate of growth

\(f(x)=485(1.98)^t < ==|(1+0.98=1.98)| > 1= > growth\\\)

\(f(x)=\frac{1}{4}(0.18)^t < ==|(1-0.82=0.18)| < 1= > decay\)

\(f(x)=46(1.001)^t < ==|(1+0.001=1.001)| > 1= > growth\)

\(f(x)=0.08(0.34)^t < ==|(1-0.66=0.34)| < 1= > decay\\\)

Hope this helps!

Answer:

wheres the question

Step-by-step explanation:

Answer:

Step-by-step explanation:

What you can do in this case is the following rule of three to find the result:

1 light year ---> 5.88 * 10 ^ 12 miles

3.2 * 10 ^ 2 light year ---> x

Clearing x we have:

x = ((3.2 * 10 ^ 2) / (1)) * (5.88 * 10 ^ 12)

x = 1.88 * 10 ^ 15 miles

answer:

In scientific notation, approximately it is 1.88 * 10 ^ 15 miles

Answer:

bivariate data

Scatter plot

positive assossiation

negitive assossiation

linear assocciation

nonlinear assocciaton

clustering

outlier

Step-by-step explanation:

The area of the trapezoid is 335 square inches.

What is Trapezoid ?

A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the non-parallel sides are called the legs. The distance between the bases is called the height or altitude of the trapezoid.

First, we need to convert the lengths of the bases and the perpendicular distance to the same units. Let's convert 6 feet to inches:

6 feet = 6 x 12 inches = 72 inches

Now we can calculate the area of the trapezoid using the formula:

Area = (a + b) * h / 2

where a and b are the lengths of the bases and h is the perpendicular distance between them.

Substituting the given values, we get:

Area = (62 + 72) * 5 / 2

Area = 134 * 5 / 2

Area = 670 / 2

Area = 335 square inches

Therefore, the area of the trapezoid is 335 square inches.

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The number of different selections possible if at least 3 balls must be blue is 35


1. Calculate the total number of possible selections (6 red + 7 blue = 13 total): 13C4 = 715
2. Calculate the number of possible selections that have fewer than 3 blue balls: 6C4 = 15
3. Subtract the number of possible selections with fewer than 3 blue balls from the total number of possible selections: 715 - 15 = 700
4. Divide the answer by the number of selections with exactly 3 blue balls: 700/7 = 100
5. Multiply the result by the number of selections with exactly 4 blue balls: 100 * 7 = 700
6. Finally, subtract the number of selections with 4 blue balls from the total number of possible selections: 715 - 700 = 35

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The length of the garden is 99 m.

The formula for the area of a rectangle is:

Area = Length x Width

We are given that the area of the rectangle is 8811 \(m^{2}\) and the width is 89 m. Substituting these values into the formula, we get:

8811 \(m^{2}\) = Length x 89 m

To solve for the length, we can divide both sides of the equation by 89 m:

Length = 8811 \(m^{2}\) / 89 m

Simplifying, we get:

Length = 99 m

Therefore, the length of the garden is 99 m.

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200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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28) The constant of proportionality is (k = 2)

29) x and y do not change in the same way

30) The constant of proportionality (k = 5/xy)

x = 2y shows direct variation because as x increases, y also increases and as x decreases, y also decreases. The constant of proportionality, also known as the "k" value, is 2, it represents the ratio of x to y. (k = 2)

y - x = 6 does not show direct variation because the relationship between x and y is not constant, x and y do not change in the same way.

xy = 5 shows direct variation because as x increases, y also increases and as x decreases, y also decreases. To find the constant of proportionality, we can divide both sides by xy.

k = 5/xy

In this case, the constant of proportionality is not a fixed value, it is a variable depending on the values of x and y. It represents the ratio of xy to the product of x and y.

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Step-by-step explanation:

AD= 10cm DC=10cm

while in part 2

DE= 5m

Answer:greengrocer should Dell 17 kg before profit. 500$ profit

Step-by-step explanation:

Answer:

18°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

90° + 72° + ∠? = 180°

162° + ∠? = 180° ( subtract 162° from both sides )

∠? = 18°

Answer:

Step-by-step explanation:

60mi/hr

a)

I) The ratio is given as follows: 1/2.

II) The scale factor is given as follows: 2.

b)

I) The ratio is given as follows: 1/5.

II) The scale factor is given as follows: 5.

A dilation is defined as a non-rigid transformation that multiplies the distances between every point in a polygon or even a function graph, called the center of dilation, by a constant factor called the scale factor.

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Answer:

10.9 feet

Step-by-step explanation:

its Pythagoras but reversed. So instead of a squared plus b squared equals c squared its (c squared)-(a squared) equals (b squared)

so (12x12) - (5x5) = 119

square root of 119 is 10.9

sorry im replying on phone i cant do exponents and stuff

Answer:

-4 degrees C

Step-by-step explanation:

-9 + 5 = -4

Answer:

No

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation: 5795f

Amount of money required for Hogan needs to save for his trip is $ 2480

m ≥ 2480

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the minimum amount of money required for the trip = A

The total amount of money required by Hogan for his trip = $ 5245

The amount of money Hogan saved for the trip = $ 2765

Noe , the equation will be

The remaining amount required for the trip =
total amount of money required by Hogan for his trip - amount of money Hogan saved for the trip

The remaining amount required for the trip = $ 5245 - $ 2765

The remaining amount required for the trip = $ 2480

Therefore , the minimum amount of money is m ≥ 2480

Hence , Amount of money required for Hogan needs to save for his trip is $ 2480

m ≥ 2480

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Answer:

anglePUM = 3° , PM = 5, UM = √75

Step-by-step explanation:

anglePUM = 180 - 60 - 90 = 30° (∠sum of Δ)

cos60 = PM/10

PM = 10cos60 = 5

sin60 = UM/10

UM = 10sin60 = √75

Answer:

Carbon: 23 Total: 119

Step-by-step explanation:

Carbon:
We know that c : h is 1 : 4. Since we know what h is, 92, we will multiply our inequality to get 96. We will multiply our equality by 23. Giving us c : h is

23 : 92. This means there are 23 carbon molecules.

Total:

For this, we add our carbon and hydrogen atoms together. 96 + 24 = 119 total atoms.

Answer:

12g

Step-by-step explanation:

\(5g+7g=12g\)

Answer:

12g

Step-by-step explanation:

5g+7g = 12g

have a great day

Answer:

2/3

Step-by-step explanation:

Answer:

3b is the answer

3a+2b-3a+b

3a-3a+2b+b

2b+b

Step-by-step explanation:

The first step I did is switch up the equation so that the like terms are next to each other. So the a’s are next to each other and the b’s are next to each other. Then I subtracted 3a-3a and got 0 and in the last step I added the 2b + b and got 3b.

9a^2- 4b^2

First, Apply the distributive property 3a(3a)+3a(−2b)+2b(3a)+2b(−2b)

Second Simplify the term. 3a(3a)+2b(−2b)

Third, Simplify Each term.

3⋅3a2+2b(−2b)

9a2+2b(−2b)

9a2+2⋅−2b2

= 9a2−4b2

Answer:

y=(x-5)^2-1

Step-by-step explanation:

From the solid black graph to dashed red graph, you've shifted the graph right 5 units and down 1 unit.

Answer:

The correct answer is the one on the top right

Step-by-step explanation:

The task requires devising a recursive definition for the set S, which contains all strings from A* in which there is no b before an a.

To create a recursive definition for S, we need to consider two cases: a string that starts with an "a" and a string that starts with a "b." For the first case, we can define the set S recursively as follows:

λ ∈ S (the empty string is in S)

If w ∈ S, then aw ∈ S (concatenating an "a" at the end of a string in S results in a string that is also in S)

If w ∈ S and x ∈ A*, then \(wx\) ∈ S (concatenating any string in A* to a string in S results in a string that is also in S)

For the second case, we only need to consider the empty string because any string starting with a "b" cannot be in S. Thus, we can define S recursively as follows:

λ ∈ S

If w ∈ S and x ∈ A*, then xw ∈ S

These two cases cover all possible strings in S, as they either start with an "a" or are the empty string. By using recursive rules to concatenate characters at the beginning or end of strings in S, we can generate all valid strings in the set without generating any invalid strings that contain a "b" before an "a."

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