Find the sine, cosine, and tangent of 45 degrees.

A) Sin 45 degrees = negative square root of 2 divided by 2, cos 45 degrees = negative square root of 2 divided by 2, tan 45 degrees = negative square root of 2

B) Sin 45 degrees = square root of 2 divided by 2, cos 45 degrees = square root of 2 divided by 2, tan 45 degrees = square root of 2

C) Sin 45 degrees = square root of 2 divided by 2, cos 45 degrees = square root of 2 divided by 2, tan 45 degrees = 1

D) Sin 45 degrees = square root of 2 divided by 2, cos 45 degrees = square root of 2 divided by 2, tan 45 degrees = −1

Answer:

The fraction of the fans at the football game that wore both a team T-shirts and team hat is [tex]2\frac{1}{20}[/tex]

Step-by-step explanation:

Let

x----> total fans

we know that

[tex]8\frac{1}{5}x[/tex] ----> wore team T-shirts

Convert to an improper fraction

[tex]8\frac{1}{5}x=8\frac{8*5+1}{5}=\frac{41}{5}x[/tex]

Multiply by 1/4

[tex]\frac{41}{5}x*\frac{1}{4}=\frac{41}{20}x[/tex]

convert to mixed number

[tex]\frac{41}{20}x=\frac{40}{20}+\frac{1}{20}=2\frac{1}{20}x[/tex]

therefore

The fraction of the fans at the football game that wore both a team T-shirts and team hat is [tex]2\frac{1}{20}[/tex]

Answer:  The smallest possible area of the tabletop=[tex]113\text{ square inches}[/tex]

The largest possible area of the tabletop =[tex]1662\text{ square inches}[/tex]

Step-by-step explanation:

Given: The minimum radius of the tabletop = 6 inches

The maximum radius of the tabletop = 23 inches

We know that the area of circle is given by :-

[tex]A=\pi r^2[/tex], where r is the radius of the circle.

Now, the smallest possible area of the tabletop that will fit on Timothy’s table is given by :-

[tex]A_s=(3.14159265359) (6)^2=113.097335529\approx113\text{ square inches}[/tex]

The largest possible area of the tabletop that will fit on Timothy’s table is given by :-

[tex]A_s=(3.14159265359) (23)^2=1661.90251375\approx1662\text{ square inches}[/tex]

Answer:

113 square inches

1,662 square inches

Step-by-step explanation: Have a good day :)

As shown... where? I have no idea what you are talking about or referencing to.

The question pertains to engineering, specifically, the equilibrium of beams and structures in statics. Analyzing the forces and torques using equilibrium conditions enables us to determine the support reactions of these structures.

The question involves determining the reactions at the supports of different structures, which is a common problem in statics, a branch of engineering mechanics. This type of problem is typically solved using the principles of equilibrium, where the sum of forces and the sum of moments (torques) about any point must be zero. For beams, bridges, and other structures, the following steps are generally taken:

Working through these problems requires a systematic approach and the application of physics and engineering principles to find the forces and torques on the system.

$2,431 is the answer to this problem I think

Answer: The answer is D -0.5

Step-by-step explanation:

First off you can cross out A and B because they are zero and a positive because the line has a negative slope. So that leaves you with C, D, and E. C is close to zero so the plot would be pretty scattered about. D is an in between answer because it isn’t quite a strong correlation or a weak one. Finally E is close to -1 so it is a strong correlation.

Answer: The answer is D -0.5

Step-by-step explanation:

First off you can cross out A and B because they are zero and a positive because the line has a negative slope. So that leaves you with C, D, and E. C is close to zero so the plot would be pretty scattered about. D is an in between answer because it isn’t quite a strong correlation or a weak one. Finally E is close to -1 so it is a strong correlation.

Answer:

1.  does not occur

2. a sample

3. an independent

Step-by-step explanation:

The correct answer for this question would be Occurs, Sample and an independent variable.

A survey is a type of research that involves gathering data from a predetermined group of people in order to get knowledge and insights about a variety of issues.

1) In an observational study, randomization of subjects has to occur to get a lot of diverse information from all the participants.

2) In a survey, randomly a sample is chosen from the population and all the inferences about the population are made from studying this sample only.

3) In a survey a treatment is imposed on all the participants so as to neutralize all the qualities they have which are quite different from the others.

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Answer:

The function is continuous for all real numbers

Step-by-step explanation:

We have the following function

[tex]y=\frac{x^2}{x^2+1}[/tex]

Note that the denominator of the function is:

[tex]x^2 +1[/tex]

This expression is different from zero for all real numbers, since for [tex]x^2 +1[/tex] then [tex]x^2 =-1[/tex], there is no number in the real numbers whose square root is equal to -1.

For this reason the function is defined for all real numbers and has no discontinuity.

This function is always positive, continuous and has horizontal asymptote

[tex]y = 1[/tex]

Observe the attached image

ANSWER

[tex]3\le x\le6[/tex]

EXPLANATION

The given inequality is

[tex] {x}^{2} - 9x + 18 \leqslant 0[/tex]

This is the same as

[tex](x - 3)(x - 6) \leqslant 0[/tex]

The corresponding equation is

[tex](x - 3)(x - 6)= 0[/tex]

By the zero product principle,

[tex]x = 3 \: or \: x = 6[/tex]

We now plot the boundaries and test for the region that satisfies the inequality.

See attachment.

From the graph the solution is

[tex]3\le x\le6[/tex]

ANSWER

A. Right

EXPLANATION

A tangent to a circle touches the circle at only one point.

The point where a tangent and a radius meet at is called the point of tangency.

The tangent to a circle meets the radius of a circle at a right angle.

This is because the angle between the tangent and the radius of the circle is 90°

The correct answer is A.

Final answer:

When a radius and a tangent intersect at the point of tangency, they form a right angle. This fact is part of basic geometric principles covered in high school mathematics.

Explanation:

The type of angle formed when the radius of a circle and a tangent intersect at the point of tangency is a right angle. This geometric principle is a result of the fact that a tangent to a circle is perpendicular to the radius at the point of tangency. This concept falls within the branch of mathematics known as geometry, which is a crucial topic in high school math education.

You could turn the 1/4 into 2/8 to make it have a common denominator. When you add 2/8 and 5/8 you’ll obviously get 7/8. She’ll only have 1/8 left.

Hoped this helped

Answer:

Solution of equation :-

x = 1 or x = -4

Step-by-step explanation:

The given quadratic equation is x² + 3x - 4 = 0

To find the solution

Using splitting method

x² - x + 4x - 4 = 0

x(x - 1) + 4(x - 1) = 0   (take x and 4 as common)

(x - 1)(x + 4) = 0

(x - 1) = 0  or (x +  4)= 0

If x - 1 = 0 then x = 1

If x + 4  = 0 then x = -4

Answer:

D.) 6 cars per hour

Step-by-step explanation:

6 cars washed on each our which we got 4 hours

Multiply it 6 x 4= 24

Answer:

D.) 6 cars per hour

Step-by-step explanation:

Answer:

The 8 lbs for 23.36

Step-by-step explanation:

First you divide the total cost by how many lbs

This will provide you with the cost per pound to get your answer

14.95 / 5 = 2.99 or $2.99 a pound

23.36 / 8 = 2.92 or $2.92 a pound

Therefore it is better to but the 8 lbs for 23.36

Answer:

All you have to do is divide 14.95 by 5 and divide 23.36 by 8.

Step-by-step explanation:

the first option is 2.99 per pound,

the second is 2.92 so the second choice is the better option.

PLZ brainliest!!

Answer:

B

Step-by-step explanation:

Make an equation.

[tex]\frac{x}{-5}=6[/tex]

[tex]x=-30[/tex]

Answer:

B, -30

Step-by-step explanation:

Answer:

  b.  1; 16; 121; 13,456

Step-by-step explanation:

A suitable calculator or spreadsheet can compute these for you.

Put the value of x into the formula to find the first iterate. Repeat for successive iterates.

_____

Comment on the answer choices

You can eliminate the first two answer choices because none of the numbers 19, 645, 12645 are perfect squares. You can eliminate the last answer choice because the first term listed is x0, not x1.

Answer:

155 minutes

Step-by-step explanation:

1. Find the total available "computer time": 4 hours * 12 computers= 48 hours

2. Split this among all of the students: 48 hours/25 students= 1.92 hours

3. Convert to minutes: 1.92 hr/student * 60 minutes ≈ 155 minutes/student

Answer:

(−4, 12), (1, −3)

Step-by-step explanation:

y = −3x

x^2 −4 = y

so

x^2 −4 = −3x

x^2 + 3x - 4 = 0

(x + 4)(x - 1) = 0

x + 4 = 0; x = -4

x - 1 = 0; x = 1

when x = 1, y = -3(1) = -3

when x = -4, y = -3(-4) = 12

Answer

(-4 , 12), (1 , -3)

ANSWER

(−4,12), (1,−3)

EXPLANATION

The system has equations:

y=−3x

[tex] {x}^{2} - 4 = y[/tex]

We equate the two equations to get:

[tex] {x}^{2} - 4 = - 3x[/tex]

[tex]{x}^{2} + 3x - 4 = 0[/tex]

[tex]{x}^{2} + 4x - x - 4 = 0[/tex]

[tex]x(x + 4) - 1(x + 4) = 0[/tex]

[tex](x + 4)(x - 1) = 0[/tex]

[tex]x = - 4 \: or \: x = 1[/tex]

When x=1,

y=-3(1)=-3

when x=-4, y=-3(-4)=12

The solution is (1,-3) and (-4,12)

The measure of angle K and angle L is 35 degrees and 105 degrees

In Triangle JKL the measure of angle J = 40 and the measure of angle L is 3 times the measure of angle K.

here we assume the angle K be x

So Angle L be 3x

Now

J + K + L = 180

40 + x + 3x = 180

40 + 4x = 180

4x = 180 - 40

4x = 140

x = 35 degrees

So, the angle K be 35 degrees

And, angle L should be 3(35) 105 degrees

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The answer is D because that’s the answer lol

Answer:

The manufacturer will have no profit or loss when the selling price equals $200 or $100.

Step-by-step explanation:

The expression to model the monthly profit from sales of a new model of bicycle is

-x^2 + 300x -20,000

Let

f(x) -----> the monthly profit in dollars

x -----> s the selling price of one bicycle in dollars

[tex]f(x)= -x^{2}+300x-20,000[/tex]

we know that

The manufacturer will make no profit nor a loss when the profit is equal to zero

so

f(x)=0

[tex]-x^{2}+300x-20,000=0[/tex]

Multiply by -1 both sides

[tex]x^{2}-300x+20,000=0[/tex]

The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]a=1\\b=-300\\c=20,000[/tex]

substitute in the formula

[tex]x=\frac{300(+/-)\sqrt{-300^{2}-4(1)(20,000)}}{2(1)}[/tex]

[tex]x=\frac{300(+/-)\sqrt{10,000}}{2}[/tex]

[tex]x=\frac{300(+/-)100}{2}[/tex]

[tex]x=\frac{300(+)100}{2}=200[/tex]

[tex]x=\frac{300(-)100}{2}=100[/tex]

therefore

The manufacturer will have no profit or loss when the selling price equals $200 or $100.

To find the selling prices at which the manufacturer will make neither a profit nor a loss, set the profit expression equal to zero and solve for x, giving a selling price of $5.

To determine the selling prices at which the manufacturer will make neither a profit nor a loss, we set the profit expression equal to zero:

0 = 100x - (500 + 20x)

Solving for x, we get x = 5. This means the selling price for the bicycle to break even is $5.

a do not replace marbles after picking them;do replace marles

For independent events in probability, you should replace the marbles after picking them, as this keeps the likelihood of each draw the same. For dependent events, do not replace the marbles after picking them, as each draw influences the subsequent draws.

The concept being discussed here is that of independent and dependent events in probability. When selecting marbles from a bag, the nature of the event (whether it is independent or dependent) depends on whether the marble is replaced after being selected or not.

To make your selections independent events, you should replace the marbles after picking them. This assumes that each event (the selection of a marble) does not affect the outcome of the other events. For example, if you picked a blue marble first and replaced it, the likelihood of picking a blue marble on the second draw remains the same.

On the other hand, to create dependent events, you should not replace the marbles after picking them. The outcome of the first event (e.g., removing a blue marble) directly influences the probability of the next event, because there is now one less blue marble in the bag to choose from.

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Answer:

[tex]-x^{2}+4x[/tex]

Step-by-step explanation:

we have

[tex](x^{2}+x)-(2x^{2} -3x)[/tex]

step 1

Eliminate the parenthesis

[tex]x^{2}+x-2x^{2} +3x[/tex]

The symbol of the term 3x is incorrect, must be positive instead of negative

so

[tex]-(-3x)=+3x[/tex]

Group terms that contain the same variable

[tex](x^{2}-2x^{2})+(x+3x)[/tex]

Combine like terms

[tex]-x^{2}+4x[/tex]

Answer:

The underlying assumptions of the binomial distribution are that there is only one outcome for each trial, that each trial has the same probability of success, and that each trial is mutually exclusive, or independent of each other.

Step-by-step explanation:

1)

[tex]\bf \cfrac{cot(x)}{sin^2(x)}=\cfrac{csc^2(x)}{tan(x)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{~~\frac{cos(x)}{sin(x)}~~}{\frac{sin^2(x)}{1}}\implies \cfrac{cos(x)}{sin(x)}\cdot \cfrac{1}{sin^2(x)}\implies \cfrac{cos(x)}{sin^3(x)}~\hfill \textit{doing the left-hand-side} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{~~\frac{1}{sin^2(x)}~~}{\frac{sin(x)}{cos(x)}}\implies \cfrac{1}{sin^2(x)}\cdot \cfrac{cos(x)}{sin(x)}\implies \cfrac{cos(x)}{sin^3(x)}~\hfill \textit{doing the right-hand-side}[/tex]

2)

[tex]\bf \cfrac{cos^2(x)+tan(x)}{sec(x)}=cos^3(x)+sin(x) \\\\[-0.35em] ~\dotfill\\\\ \cfrac{~~cos^2(x)+\frac{sin(x)}{cos(x)}~~}{\frac{1}{cos(x)}}\implies \cfrac{~~\frac{cos^3(x)+sin(x)}{cos(x)}~~}{\frac{1}{cos(x)}}~\hfill \textit{doing the left-hand side} \\\\\\ \cfrac{cos^3(x)+sin(x)}{\underline{cos(x)}}\cdot \cfrac{\underline{cos(x)}}{1}\implies cos^3(x)+sin(x)[/tex]

Answer:

4.2

Step-by-step explanation:

The equation i used was -16t^2+30x+160

Answer:

13. 26

14. The answer is 71

Answer:

Blue: 1/16 square units

Green: 1/64

yes

1/3

Step-by-step explanation:

The areas of these shaded triangles. Orange: 1/4 square units, Blue: 1/16 square units, Green: 1/64 square units

A fraction represents a part of a whole number of equal parts.

The area of the largest triangle is given as 1 square unit.

The area of the triangle is colored and follows a geometric sequence with the common ratio of 1/4.

The area of the non-shaded triangle is given by 1 square unit.

The area of the orange triangle

1 × 1/4 = 1/4 square units.

The area of the blue triangle

1/4 × 1/4 = 1/16 square units.

The area of the green triangle

1/16 × 1/4  = 1/64 square units.

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I would try to avoid unclear statements about the graph and make sure it's clear enough for audience. Also not to use items that bleed through paper.

Answer: Always avoid doing unnecessary things. like changing the zero or using logarithmic scale (and if you use them, mention it), if the graph contains more than one line, then use different colors or dots and label every line.

Also, comparative graphs should always be in the same scale.

she ran 15 miles in the first month and 15 in the second but because it doubled in the third month she ran 30 miles. 15+15+30=60 miles total

Answer:

Option D (7, -3)

Step-by-step explanation:

We know that the general equation of an ellipse has the form:

[tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1[/tex]

Where the point (h, k) are the coordinates of the center of the ellipse

In this case the equation of the ellipse is:

[tex]\frac{(x-7)^2}{4} + \frac{(y+3)^2}{16} = 1[/tex]

Then

[tex]h=7\\\\k = -3[/tex]

So The coordinates of the center of the ellipse are (7, -3)

Answer:

D. (7,-3)

Step-by-step explanation:

This equation is for vertical Ellipse;

For vertical Ellipse;

where the equation is (x-h)²/b² + (y-v)²/a²

In this question;

h=7 and v= -3

center= (7,-3)