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Classify each angle as acute,obtuse,right or straight.

Answer:

cos x° = adjacent ÷ hypotenuse

Step-by-step explanation:

Option (A) cos x° = adjacent ÷ hypotenuse is correct because cos is the ratio of the side adjacent to the angle to the hypotenuse option (A) is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have given trigonometric ratios in the options.

As we know the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

In the right angle triangle (It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base)

cos is the ratio of the side adjacent to the angle to the hypotenuse

cos x° = adjacent ÷ hypotenuse

tan is the ratio of the side opposite to the angle to the side adjacent to the angle.

tan x° = opposite ÷ adjacent

Thus, option (A) cos x° = adjacent ÷ hypotenuse is correct because cos is the ratio of the side adjacent to the angle to the hypotenuse option (A) is correct.

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Step-by-step explanation:

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Answer:

x = 8, m2 = 78, m4 = 102, m6 = 78, m7 = 78,

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the first mixture the concentration syrup is higher

Concentration syrup is higher in mixture B.

Two or more ratios made to be equal to each other is termed as proportion.

We have to use the proportional concept here by finding the concentration of syrup in 1 l of water.

Mixture A:

Concentration of syrup in 3 l of water = 2 l

Concentration of syrup in 1 l of water = 2/3 l = 0.67 l

Mixture B :

Concentration of syrup in 2.5 l of water = 1.8 l

Concentration of syrup in 1 l of water = 1.8 / 2.5 = 0.72 l

Concentration of syrup in mixture A in 1 liter of water is less than the concentration of syrup in mixture B in 1 liter of water.

Hence the concentration of syrup in mixture B is higher because concentration of syrup in mixture B in 1 liter of water is higher than the concentration of syrup in mixture A in 1 liter of water.

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The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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After cοmpleting the task, we can state that The whοle number clοsest tο  expressiοn 7.141 is 7. Therefοre, √51 is clοsest tο the whοle number 7.

The whοle numbers are the part οf the number system which includes all the pοsitive integers frοm 0 tο infinity. These numbers exist in the number line. Hence, they are all real numbers. We can say, all the whοle numbers are real numbers, but nοt all the real numbers are whοle numbers.

Thus, we can define whοle numbers as the set οf natural numbers and 0. Integers are the set οf whοle numbers and negative οf natural numbers. Hence, integers include bοth pοsitive and negative numbers including 0. Real numbers are the set οf all these types οf numbers, i.e., natural numbers, whοle numbers, integers and fractiοns.

√51 is apprοximately equal tο 7.141. The whοle number clοsest tο 7.141 is 7.

Therefοre, √51 is clοsest tο the whοle number 7.

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a) we are 95 percent confident the proportion of households in its county that own at least one dog lies in the interval (0.298,0.536)

b) it does not provide evidence that p is different from 39% .

c)   66   households were selected in the humane society's sample

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

a)

95 percent confidence level  = 0.417 ± 0.119 =(0.298,0.536)

we are 95 percent confident the proportion of households in its county that own at least one dog lies in the interval (0.298,0.536)

b)  it does not provide evidence that p is different from 39% .

Since 0.39 is included in the interval (0.298,0.536)  

c) margin of error = ( 0.536 - 0.298)/2

z√(pq)/n  = 0.119

=> 1.96 ( √((0.417(1-0.417)/n) ) = 0.119

=> 65.95 = n

=> n= 66

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Answer:

To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.

Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles

Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles

Total distance = Distance for the first 5 days + Distance for the next 5 days

Total distance = 17.5 miles + 21.25 miles

Total distance = 38.75 miles

Therefore, the student ran a total of 38.75 miles during these 10 days.

Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

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The point is (3, 2 1/3).

Given the equation of the line,y + 3 = 1/3(x + 3)

To identify a point the line passes through and the slope of the line, we first need to convert the equation of the line into slope-intercept form.y + 3 = 1/3(x + 3) y = 1/3x + 1

As we can see from the slope-intercept form of the equation, the slope of the line is 1/3.

To graph the line, we need to choose two points on the line and connect them with a straight line.

Let's choose the y-intercept and another point on the line.

The y-intercept is (0,1). To find another point, we can choose x = 3.y = 1/3x + 1y = 1/3(3) + 1y = 2(1/3)

Thus, the point is (3, 2 1/3).

We can now plot these points and connect them with a straight line to get the graph of the line.  Graph of the line y + 3 = 1/3(x + 3)

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Answer:

18

Step-by-step explanation:

One trip around the gym would be 138 ft.

If we cut the diagonal, we use the Pythagorean theorem to find the distance of the hypotenuse, which is 51 ft.

One trip with the shortcut is 119 ft. (24 + 45 + 51 = 119).

Subtract 119 ft. from 138 feet and you have 18 ft. shorter route than walking the entire perimeter.

The area of the parallelogram is equal to: D. 4 over 25 square foot.

Mathematically, the area of a parallelogram can be calculated by using this formula:

Area of a parallelogram = b × h

Where:

Based on the information provided above, the actual base of the parallelogram is given by:

Actual base of parallelogram = 3/5 - 1/5

Actual base of parallelogram = 2/5 foot.

Substituting the given parameters into the area of a parallelogram formula, we have the following;

Area of a parallelogram = 2/5 × 2/5

Area of a parallelogram = 4/25 square foot.

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Answer:

Step-by-step explanation:

3 x 6 = 18 so 18/6 = 3

The model is plotted and the equation is 18/6 = 3

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 18 / 6

On simplifying , we get

A = 3

Therefore , the value of A is 3 and the model is plotted

Hence , the equation is A = 3

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Answer:

0.9995 = 99.95% probability that a rivet is defective

Step-by-step explanation:

For each rivet, there is only two possible outcomes. Either they are defective, or they are not. Rivets are defective independently of one another, each with the same probability, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

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

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

And p is the probability of X happening.

An aircraft seam requires 29 rivets.

This means that \(n = 29\)

23% of all seams need reworking

This means that \(p = 0.23\)

What is the probability that a rivet is defective?

This is:

\(P(X \geq 1) = 1 - P(X = 0)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{29,0}.(0.23)^{0}.(0.77)^{29} = 0.0005\)

Then

\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0005 = 0.9995\)

0.9995 = 99.95% probability that a rivet is defective

Answer:

(-1,0)

Step-by-step explanation:

That has the same x-value as (-1,2).

BRAINLIEST?

PRESS IT AND GET IT OVER WITH.

Answer: 32x+4

Step-by-step explanation:

\(f(x) \cdot g(x)=(8x+1)(-5+9)=4(8x+1)=\boxed{32x+4}\)

In order to solve this operation, we must multiply 4 times 2 first, hence we have,

1+4*2+8=1+8+8

now, we can do the addition, in which 1+8+8=1+16=17.

Therefore,

1+4*2+8=17

and the result is 17.

Answer:

Paleontology is the study of the history of life on Earth as based on fossils.

Answer:

Paleontology, also spelled palaeontology or palæontology, is the scientific study of life that existed prior to, and sometimes including, the start of the Holocene epoch. It includes the study of fossils to classify organisms and study their interactions with each other and their environments.

Or it is the scientific study of life of the geologic past that involves the analysis of plant and animal fossils, including those of microscopic size, preserved in rocks.

A. The statement is false. [-2 5] and [-5 2] do not lie on a line through the origin, as they do not have the same slope. The arrows they correspond to meet at right angles, which means they form a line perpendicular to the origin.

B. Correct! The statement is false. [-2 5] and [-5 2] do not lie on a line through the origin, as they do not have the same slope. The arrows they correspond to meet at right angles, which means they form a line perpendicular to the origin.

C. Correct! The statement is true. [-2 5] and [-5 2] correspond to arrows pointing in precisely opposite directions and so are on the same line through the origin.

D. Incorrect. The statement is false. [-2 5] and [-5 2] do not lie on a line through the origin, as they do not have the same slope. The arrows they correspond to meet at right angles, which means they form a line perpendicular to the origin.

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Answer:

$22.7325

Step-by-step explanation:

12.99 * 1.75 = 22.7325

pls mark brainliest

Answer:

8/15

Step-by-step explanation:

1/5 + 1/3 = 3/15 + 5/15 = 8/15

The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.

Question 17) is a figure of a rectangle and two inscribed circles.

The area of a rectangle is expressed as: A = length × width

The area of a circle is expressed as: A = πr²

Where r is the radius.

To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.

Area = ( Length × width ) - 2( πr² )

Area = ( 40 × 10 ) - 2( π × 5² )

Area = ( 400 ) - 2( 25π )

Area = 400- 50π

Area = 242.9 cm²

Area of the shaded region is 242.9 squared centimeters.

Question 18) is the a figure a sector of a circle and a right triangle.

The area of a sector is expressed as: A = (θ/360º) × πr²

The area of a triangle  is expressed as: A = 1/2 × base × height

To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.

Hence:

Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )

Plug in the values:

Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )

Area = 25π/4 - 12.5

Area = 7.1

Therefore, the area of the shaded region is 7.1 square units.

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If a bus company usually transports 12 000 people per day at a ticket price of $1. The ticket price that will maximize revenue is $2 per ticket.

Equation to find the ticket price is:

y = (12000 - 400x)(1 + .1x)

Take the derivative of the function by product rule

y' = (12000 - 400x)(.1) + (-400)(1 + .1x)

y' = 1200 - 40x - 400 - 40x

y' = 800 - 80x

Let y' = 0

0 = 800 - 80x

Solving for x

80x = 800

Divide both side by 80x

x = 800/80

x = 10

Point at x = 10

Substitute x with 10 for 1 + .1x

1 + .1(10)

= 1 + 1

= $2 per ticket

Therefore the ticket price is  $2 per ticket.

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The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.

First, the rate of change

= (483 - 210) / (23 - 10)

= 273 / 13

= 21

So, the equation for the relationship between the number of bracelets made and the number of beads used.

(y - 210) = 21 (x-  10)

y - 210 = 21x - 210

y = 21x

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Check the picture below.

\((5x)+(5x)+(4x+3)(4x+3)=132\implies 18x+6=132\implies 18x=126 \\\\\\ x=\cfrac{126}{18}\implies x=7\hspace{9em}\underset{RS }{\stackrel{ 5(7) }{\text{\LARGE 35}}}\)