Unit 7 right triangles and trigonometry homework 2 special right triangles

Answer:

4x ≤ 30

Step-by-step explanation:

Omar gets 30 dollars off because $25 + $5 = 30. Let x = pairs of socks

We know each pair costs $4, so the cost would be 4x. Omar has to buy as many pairs as he can with only the coupon and gift card. Omar has to spend $30 (the full discount) or less than $30. Therefore, the inequality would be: 4x ≤ 30 or 4x is less than or equal to 30 ($30).

Answer: 4p-5_<25

Step-by-step explanation:

i got i right

the angle between 0 and 2π that is coterminal with 17π/4 is π/4.

To find the angle between 0 and 2π that is coterminal with 17π/4, we need to find an equivalent angle within that range.

Coterminal angles are angles that have the same initial and terminal sides but differ by a multiple of 2π.

To determine the coterminal angle with 17π/4, we can subtract or add multiples of 2π until we obtain an angle within the range of 0 to 2π.

Starting with 17π/4, we can subtract 4π to bring it within the range:

17π/4 - 4π = π/4

The angle π/4 is between 0 and 2π and is coterminal with 17π/4.

what is equivalent'?

In mathematics, the term "equivalent" is used to describe two things that have the same value, meaning, or effect. When two mathematical expressions, equations, or statements are equivalent, it means that they are interchangeable and represent the same mathematical concept or relationship.

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Answer:

50.24

Step-by-step explanation:

To get the area you do A = π r² so, A = 3.14(4²). Then if you solve it you get A =  50.24.

A variety of healthful sizes are available for newborns. The average baby weighs between 5 pounds, 8 ounces (2,500 grammes) and 8 pounds, 13 ounces when they are born between 37 and 40 weeks (4,000 grams). It's usually ok for newborns who weigh more or less than the typical infant.

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Answer:

A

Step-by-step explanation:

Answer: I would say it's B

Step-by-step explanation: The reason is because whiskers are primary to have, Sharp claws is a tool for animals to get food, and large beaks are used to pick at the food so they don't eat the wrong things.

∠1 = 26°

∠2 = 154°

∠3 = 26°

∠4 = 26°

∠5 = 154°

∠6 = 154°

∠7 = 26°

Step-by-step explanation:

So, we have two parallel lines cut by a transversal (C).

Vertical angles are always equal.

∠2 = 154° (vertical angles)

Linear pair make up 180°.

∠1 = 180° - 154° = 26° (linear pair)

∠1 = ∠3 = 26° (vertical angles)

Corresponding angles are always equal.

∠5 = 154° (corresponding angles)

∠5 = ∠6 = 154° (vertical angles)

Alternate Interior angles are always equal.

∠3 = ∠4 = 26° (alternate interior angles)

∠4 = ∠7 = 26° (vertical angles)

Answer: \(P(B|A)=\dfrac{4}{9}\)

Step-by-step explanation:

Given: A bag contains 2 black balls, 4 yellow balls and 4 white balls.

Event A is defined as drawing a white ball on the first draw.

Event B is defined as drawing a black ball on the second draw.

P(B|A) is expressed as the conditional probability of occurring B given that A.

i.e. it is the probability of happening B where A is already happended.

If a white ball is drawn at first, then the number of black ball(4) remains unchanged but the total number of balls (10) will become 9.

\(Probability=\dfrac{Number\ of \ favorable \ outcomes}{Total\ outcomes}\)

Then, \(P(B|A)=\dfrac{4}{9}\)

Answer:

C.) 2/9

Step-by-step explanation:

4/9 CAN SIMPLIFY INTO 2/9

4 / 2 = 2

BRAINEST PLEASE

Answer:

Step-by-step explanation:

4x+20=0

4x=-20

x=,-5

Answer:

i got (-5,0) .............

Step-by-step explanation:

Therefore, the area of the entire circle is 45 square inches.

To find the area of the entire circle, we'll first determine the circle's radius using the given information about the sector. The formula for the area of a sector is:
Sector area = (central angle / 360°) × π × radius²
We know the sector area is 15 square inches, and the central angle is 120°. Let's use this formula to solve for the radius:
15 = (120° / 360°) × π × radius²
Now, let's find the radius and then calculate the area of the entire circle:
1. Divide both sides by (120° / 360°) × π:
radius² = 15 / ((120° / 360°) × π)
2. Simplify:
radius² = 15 / (⅓ × π)
3. Multiply by 3 to get rid of the fraction:
radius² = 45 / π
4. Take the square root of both sides:
radius = √(45 / π)
Now that we have the radius, let's find the area of the entire circle using the formula:
Area = π × radius²
Plug in the radius we found:
Area = π × (45 / π)
Area = 45 square inches

Therefore, the area of the entire circle is 45 square inches.

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Answer:

12$

Step-by-step explanation:

It says she paid a fee of 15, since total for six months is 87 it means the fee is included. So basically taking out the fee she paid a total of 72.

NOW you can divide by 6. which will give you 12 dollars per month.

This can trick people because they dont subtract the fee and think they can just divide by 6.

Answer:

-1/2d + f

Step-by-step explanation:

cmon fam I know you know how to do this just find the least common denominator and subtract like terms (numbers with the same variable) and then simplify the fractions

Answer:

y = 2x-3

Explanation:

By definition, two lines are parallel if they have the same slope.

Given the equation for a line:

Comparing the given line with the slope-intercept form of a line:

Thus, we want to find the equation of the line with the following properties:

• Slope: m = 2

• Point: (x1,y1)=(2,1)

In order to do this, we employ the use of the point-slope form of the equation of the line:

We then simplify:

The equation of the parallel line is y=2x-3.

The value of the expression 3y²-8y+9 when y = 5 will be 44.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given the expression,

3y²-8y+9

Now substitute y = 5

⇒ 3(5)² - 8(5) + 9

⇒ 3 × 25 - 40 + 9

⇒ 75 -31

⇒ 44

Hence "The value of the expression 3y²-8y+9 when y = 5 will be 44".

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It is 6x^3 - 15x^2 - 2x - 5

Brainly pls have a nice day

Answer:

2 gallons

Step-by-step explanation:

The graph of the sequence may pass toward the vertical line test.

Functions are defined as a fundamental part of the calculus in mathematics. These are the special types of relations. A function is visualized as a rule, which gives a unique output for every input x.

Given the information that, he gives two away on day 1, four away on day 2, and eight away on day 3. He continues this pattern for 10 days.

Let x be the number of days and f(x) be the number of cards.

So, the pattern is

f(x)=2, when x=1

f(x)=4, when x=2

f(x)=8, when x=3

Then, the function will be f(x)=2ˣ

The equation of the graph is passing through a vertical line.

The vertical line test is a graphical method that determines whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.

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Answer:

The difference in volume between the two cylinders is 4032π

Step-by-step explanation:

The formula for volume of a cylinder is

(π)(r²)(h) =V

h = height = 21

for the original cylinder,

diameter = d = 16

so, r = d/2 = 8 so radius = 8

V1 = (π)(8)(8)(21)

and after doubling the radius we get,

r = 16

V2 = (π)(16)(16)(21)

the difference in volume is,

V2 - V1 = 21π(16)(16) - 21π(8)(8)

V2 - V1 = 21π[(16)(16) - (8)(8)]

where we have taken the common elements out

= 21π(192)

so the difference is 4032π

Option B is the better option as you would receive more money over the 3 year period.

For option B, the total amount received each month is calculated using the formula:

Total Amount = 2n-1

where n is the number of days in the month.

For example, for a month with 31 days:

Total Amount = 2 x 31 - 1

Total Amount = 61 cents

Therefore, over 3 years (36 months), the total amount received if you choose option B is calculated as follows:

Total Amount = 61 x 36

Total Amount = 2196 cents

This is equivalent to $21.96.

Therefore, Option B is the better option as you would receive more money over the 3 year period.

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The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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Answer:

27.7 (rounded)

Step-by-step explanation:

This equation tells us that the cost of x pounds of bananas is equal to the number of pounds of bananas, x, multiplied by the cost per pound

So equation becomes C = 0.70x

We can use proportional reasoning to set up an equation to represent the cost, C, of x pounds of bananas.

We know that 20 pounds of bananas cost 14, so the cost per pound can be found by dividing the total cost by the total weight:

Cost per pound = Total cost / Total weight

Cost per pound = 14 / 20 pounds

Cost per pound = 0.70 per pound

Now, we can use this cost per pound to set up an equation:

C = cost of x pounds of bananas

x = number of pounds of bananas

Cost per pound = 0.70

So, we can write the equation as:

C = 0.70x

This equation tells us that the cost of x pounds of bananas is equal to the number of pounds of bananas, x, multiplied by the cost per pound, 0.70.

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Answer:

x = 14

Step-by-step explanation:

Similar triangles have the property that the measure of its corresponding sides is proportional.

This can be written as:

\(\displaystyle \frac{x+1}{27}=\frac{5}{x-5}\)

Cross-multiplying the fractions:

\((x+1)(x-5)=27(5)\)

Operating:

\(x^2-4x-5=135\)

\(x^2-4x-140=0\)

Factoring:

(x-14)(x+10)=0

Solving:

x=14, x=-10

Only positive values can be accepted for x, thus:

x = 14

Answer:

3/100

Step-by-step explanation:

1 m = 100 cm

Scale factor = 3/100

Hope it helps you

Answer:

the answer would be 3/100

The area of the regular octagon is equal to 133.212 square units

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side

apothem = s/[2tan(180/n)]

6.7 = s/[2tan(180/8)]

s = 6.7 × 2tan22.5

s = 5.5505

perimeter = 5.5505 × 8 = 44.404

Area of octagon = 1/2 × 6 × 44.404

Area of octagon = 133.212

Therefore, the area of the regular octagon is equal to 133.212 square units

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Answer:

53 candy

Step-by-step explanation:

The 99% confidence interval estimating the proportion of all Ford Fusion drivers who are women is (0.40685, 0.67007). The closest option to this interval is option 2) (0.40385, 0.67307).

The answer is option 1) (0.41689, 0.66003). To design a new advertising campaign, Ford Motor Company conducted a sample survey of 91 Fusion owners and found that 49 of them were women. To estimate the proportion of all drivers who are women, a confidence interval is calculated. The formula for calculating the confidence interval is:

sample proportion ± z*(standard error)

where z is the critical value for the desired confidence level and the standard error is calculated as:

sqrt((sample proportion*(1 - sample proportion))/sample size)

For a 99% confidence interval, the critical value is 2.576. Plugging in the values from the sample, we get:

sample proportion = 49/91 = 0.5385
sample size = 91

Using the formula above, we can calculate the standard error as:

sqrt((0.5385*(1 - 0.5385))/91) = 0.0625

Finally, we can plug in the values into the confidence interval formula:

0.5385 ± 2.576*0.0625

which gives us the interval (0.41689, 0.66003). Therefore, option 1) is the correct answer.

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Answer:

19y - 9

Step-by-step explanation:

- 3(- 4y + 3) + 7y ← multiply each term in the parenthesis by - 3

= 12y - 9 + 7y ← collect like terms

= 19y - 9

The speed of both printers operating together is 1.333 hours which was found using the given data.

The formula used to explain the connection between speed, distance, and time is speed = distance/time.

Given: Newspapers can be printed twice as quickly on a modern printing press as they can on an old one. The old one takes four hours to publish the afternoon edition.

Let,

a = Speed of New printing press

b = Speed of Old printing press

x = Speed of both printers operating together

We know that,

(1/a)+(1/b)=(1/x)

(1/2)+(1/4)=(1/x)

(4/8)+(2/8)=(1/x)

6/8=1/x

x=8/6

x=1.333

Therefore, the speed of both printers operating together is 1.333 hours which was found using the given data.

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It is important to properly identify the characteristics of a graph such as intervals of increasing and decreasing.

To find the interval(s) on which f is increasing, look for the parts of the graph where the function moves upwards as you move from left to right. In interval notation, an increasing interval might look like this: (a, b).

To find the interval(s) on which f is decreasing, look for the parts of the graph where the function moves downwards as you move from left to right. In interval notation, a decreasing interval might look like this: (c, d).

To find the interval(s) on which f is concave upward, look for the parts of the graph where the curvature is upward, or where the function appears to bend upwards. In interval notation, a concave upward interval might look like this: (e, f).

To find the interval(s) on which f is concave downward, look for the parts of the graph where the curvature is downward, or where the function appears to bend downwards. In interval notation, a concave downward interval might look like this: (g, h).

To find the coordinates of the inflection point(s), look for the points on the graph where the concavity changes, or where the function transitions from bending upwards to bending downwards or vice versa. The coordinates of the inflection points can be represented as  

(x1, y1), (x2, y2), (x3, y3),

and so on, ordered from smallest to largest x and y values.

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