In the figure, angle ABC = 2x-65° and reflex angle AOC = 3x. Find x.​

Final answer:

The growth factor of Star City is calculated by converting the rate of increase to a decimal and adding it to 1, resulting in a growth factor of 1.023.

Explanation:

The growth factor of Star City with an annual rate of increase of about 2.3% can be calculated as follows:

Identify the percentage of growth as a decimal by dividing the percentage by 100, which would be 2.3/100 = 0.023.

Add this decimal to 1 to find the growth factor: 1 + 0.023 = 1.023.

Therefore, the growth factor of Star City is 1.023.

Answer:

10

Step-by-step explanation:

y=(0.5)6+7

y=3+7

y=10

Answer:

the value is 10

Step-by-step explanation:

y = 0.5(6) + 7

y = 3 + 7

y = 10

Dividing figures into known shapes in mathematics helps simplify complex shapes and analyze their properties effectively.

Dividing figures into known shapes involves breaking down complex figures into simpler, identifiable shapes such as squares, rectangles, triangles, or circles.

This process is commonly used in geometry to analyze and understand the properties of irregular shapes by partitioning them into known geometric shapes.

By dividing figures into known shapes, mathematicians can apply specific formulas and principles to calculate areas, perimeters, and other geometric attributes accurately.

The width of the model on the right is 4.58 in.

The scale factor between the two models is 13.75 in / 22 in = 5/8.

The width of the model on the right is 13.75 in * 5/8 = 8.59 in.

Therefore, the answer is C. 4.58 in.

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The answer would be 600 because 10% of 6,000 is equal to 600

Answer:

A

Step-by-step explanation:

Answer:

x=2

x=-5

Step-by-step explanation:

You need to get everything on one side to have a quadratic equation:

x^2+6x-4 -(3x+6) = x^2+3x-10

All factors of 10 are 1*10 and 2*5.

5-2 = 3 and 5*-2 = -10

Factoring x^2+3x-10 gives us (x-2)(x+5)

x=2

x=-5

Answer:

x=-5      x=2

Step-by-step explanation:

x^2+ 6x - 4 = 3x + 6

Subtract 3x from each side

x^2+ 6x-3x - 4 = 3x-3x + 6

x^2+ 3x - 4 =  6

Subtract 6 from each side

x^2+ 3x - 4-6 = 6 - 6

x^2 +3x -10 =0

Factor

What 2 numbers multiply to -10 and add to 3

5*-2 =-10

5+-2 = 3

(x+5) (x-2) =0

Using the zero product property

x+5 =0   x-2 =0

x=-5      x=2

The probability of a quarter, a dime, and a penny all landing on heads is found by multiplying the individual probabilities for each coin, resulting in a 12.5% likelihood.

The question asks about the probability of a quarter, a dime, and a penny all landing on heads when accidentally dropped. To determine this, we assume each coin has a 50-50 chance of landing on heads or tails, i.e., the probability of heads is 0.5 for each coin toss. Since each coin is independent of the others, we apply the product rule of probability for independent events.

Therefore, the probability of all three coins landing on heads is:
Probability(Quarter on heads) × Probability(Dime on heads) × Probability(Penny on heads) = 0.5 × 0.5 × 0.5 = 0.125 or 12.5%.

This represents an application of the product rule, as each coin toss is an independent event and the final probability is the product of the individual probabilities.

Answer: 701

Step-by-step explanation:

A heptagon has 7 sides, therfore a regular heptagon will have 7 equal sides

n = 7 (number of sides)

s = 13.9 (length of each sides of the heptagon)

r = 14.4 (The apothem)

The area of the regular heptagon can be calculated by:

Area = ½ n × s × r

Area = ½ × 7 × 13.9 × 14.4

Area = 700.56 square units

To the nearest whole number, will be:

Area = 701 square units

Answer:

The correct answer for the question is 7

Answer:

prob b or c

Step-by-step explanation:

Answer:

the answer is -12>x or x< -12

Step-by-step explanation:

multiply both sides by 3

Answer:

[tex]\quad x<-12[/tex]

(Please vote me Brainliest if this helped!)

Step-by-step explanation:

[tex]-4>\frac{x}{3}[/tex]

[tex]\mathrm{Switch\:sides}[/tex]

[tex]\frac{x}{3}<-4[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}3[/tex]

[tex]\frac{3x}{3}<3\left(-4\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x<-12[/tex]

Answer:

a) 30m

b) 50.6m²

Step-by-step explanation:

Perimeter = 2(length + width)

= 2(9.96 + 5.08)

= 30.08 m

Area = length × width

9.96 × 5.08

50.5968 m²

Hope this will help u....:)

Answer:

decay function

Step-by-step explanation:

took the usa test prep

Answer:

B. The function is negative for all real values of x where

–6 < x < –2.

Step-by-step explanation:

Just took the test

Answer: B!!

Step-by-step explanation: i did on edge

Answer:

4/8

Step-by-step explanation:

bc the ate 4 muffins of a total of 8

Answer:4:8

Step-by-step explanation:

Answer:

23 so the First one or A.

Step-by-step explanation:

ALL triangles angles should add up to 180 so 22+135=157

So... 180-157=23 which equals the third angle measure

Answer:

18.1

Step-by-step explanation:

Since we are to round up to 3 significant figures

18.08

But since 8 is greater than 5 it can be converted to 1

So add 1 to 0 to 1

So rounding 18.08 to 3 SF

=18.1

Answer:

this confuses me

Step-by-step explanation:

Option b:

[tex]\boxed{ d=\sqrt{(7-x)^2+(-4-y)^2+(9-z)^2}}[/tex]

Let two points be:

[tex]P_{1}(x_{1},y_{1},z_{1}) \\ \\ P_{2}(x_{2},y_{2},z_{2})[/tex]

The distance formula is defined as:

[tex]d=\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2+(z_{1}-z_{2})^2}[/tex]

Therefore, if we define:

[tex]P_{1}(7,-4,9) \ and \ P_{2}(x,y,z) \\ \\ \\ Then: \\ \\ d=\sqrt{(7-x)^2+(-4-y)^2+(9-z)^2}[/tex]

Finally, correct option is b

Answer:

The Answer is correct, he just has the wrong letter.

Step-by-step explanation:

The correct answer is C

Answer:

Step-by-step explanation:

It's 500 so yeah there you go

Answer:

y-intercept=32

Step-by-step explanation:

You can find the y-intercept using the slope-intercept form:

[tex]y=mx+b[/tex]

M is the slope and b is the y-intercept. To find the y-intercept, first find the slope. Take two of the points from the table (x,y) and use the slope formula:

[tex](64,12)(48,17)\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}[/tex]

Rise over run is the change in the y-axis over the change in the x-axis:

[tex](64(x_{1}),12(y_{1}))\\(48(x_{2}),17(y_{2}))[/tex]

[tex]\frac{17-12}{48-64}= \frac{5}{-16}=-\frac{5}{16}[/tex]

Now that we have the slope, insert into the equation:

[tex]y=-\frac{5}{16} x+b[/tex]

Take a point from the table and insert into the x and y values:

[tex](64_{x},12_{y})\\\\12=-\frac{5}{16}(64)+b[/tex]

Solve for b. Simplify parentheses:

[tex]-\frac{5}{16}*\frac{64}{1}=-\frac{320}{16}=-20[/tex]

[tex]12=-20+b[/tex]

Add 20 to both sides to isolate b:

[tex]20+12=-20+20+b\\32=b\\b=32[/tex]

If b equals 32, then the y-intercept is 32.**

Finito.

**The y-intercept is where x is equal to 0 (0,32)

Answer:

m-4n+3.5+4/5pm-4n3.54/5, Can you make the question more readable, or can you actually put fractions is the question? I WILL REVISE MY ANSWER

Step-by-step explanation:

currently the constant is 3.5

The Constant in this expression m - 4n + 3.5 +  4/5 is 3.5 and 4/5.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

Expression: m - 4n + 3.5 +  4/5

The terms in an expression is m, -4n, 3.5 and 4/5.

As, the constant is the number whose value does not change in remain constant and is without variable.

Thus, the constant is 3.5 and 4/5.

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Answer:

About 15%

Step-by-step explanation:

Since the weather is good, this means that 500 flights are affected because 50% of the flights experience good weather and 50% of the flights experience bad weather.

there will be 75 flights that are delayed due to causes other than bad weather

if you assume that all of the flights that are not caused by bad weather occur in good weather, then the probability would have to be 75 / 500 = .15 = 15%.

Answer:

I believe is 35%

Step-by-step explanation:

Answer:

[tex]V=416\ mm^3[/tex]

Step-by-step explanation:

we know that

The volume of a rectangular prism is given by the formula

[tex]V=LWH[/tex]

we have

[tex]L=10.4\ mm\\W=5\ mm\\H=8\ mm[/tex]

substitute in the formula

[tex]V=(10.4)(5)(8)=416\ mm^3[/tex]

The volume of the rectangular prism is [tex]416\ mm^3[/tex]

Since A rectangular prism has a length of 10.4 millimeters, a width of 5 millimeters, and a height of 8 millimeters.

So here the volume is

= (10.4) (5) (8)

= [tex]416\ mm^3[/tex]

Here we multiplied all three things to get the volume

hence, The volume of the rectangular prism is [tex]416\ mm^3[/tex]

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The sign of B is positive.

The graph is a diagram showing the relation between variable quantities, typically of two variables, each measured along with one of a pair of axes at right angles.

According to the given figure point, B is above the origin.

So it will be positive.

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To determine the sign of the sum of two numbers, we need to consider the signs of the individual numbers (A and B) involved in the sum.

1. If both numbers are positive, their sum is also positive.
2. If both numbers are negative, their sum is also negative.
3. If one number is positive and the other is negative:
  - If the positive number has a greater absolute value than the negative number, the sum is positive.
  - If the negative number has a greater absolute value than the positive number, the sum is negative.
  - If both numbers have the same absolute value, the sum is zero.

The question only presents the expression "B + A" without any information regarding the values or signs of A and B. Therefore, without additional information, it's impossible to determine the sign of their sum. The sum could be positive, negative, or zero depending on the values (and their respective signs) of A and B. Consequently, we cannot choose any of the options above with certainty.

For a complete answer, we would need more details about the values of A and B.

Answer:

35x

Step-by-step explanation:

[tex]5x(f - 32) \div 9 \\ = \frac{5x(f - 32)}{9} \\ = \frac{5x(95 - 32)}{9} \\ = \frac{5x \times 63}{9} \\ = 5x \times 7 \\ = 35x[/tex]

Final answer:

To find the volume of a cube with each face diagonal of 12.8 inches, calculate the side length using the diagonal length, then find the cube volume using the side length cubed. The volume is approximately 741.2 cubic inches.

Explanation:

Volume of a Cube:

To find the volume of a cube where each face has a diagonal of 12.8 inches, we first need to calculate the length of a side of the cube using the diagonal length. The formula for the diagonal of a face of a cube is √2 times the side length. Thus, side length = diagonal length / √2. Then, we can find the volume of the cube by cubing the side length.

Calculation: