The pair of triangles that are congruent by the ASA criterion is . The pair of triangles that are congruent by the SAS criterion is .

Answer:

.20 per mile.

Step-by-step explanation:

300 x .25 is 75. 75/375 is .20

Answer:

A or C   ( they are the same answer in your Q)

Step-by-step explanation:

3 cos (theta)    

Answer:

hi- I GOT THE SAME QUESTION SOMEBODY PLS ANSWER

Step-by-step explanation:

also, good luck :'C

Answer:

The answer is 0.93

Step-by-step explanation:

I took the test

Answer:

The answer is b: 25

Note however that the shape of the diagram does not match the numbers on it.  So either it is poorly drawn, or I am misinterpreting the numbers.  It seems pretty clear though that the image is incorrect, as the two segments both marked as being 25 units long are represented at different lengths.

Step-by-step explanation:

The image here does not fit the numbers.  Note that the bottom triangle has two sides with given lengths of 25 units, but they are drawn as different lengths.

Let's plough on though, and find a better image of what that shape would be.

Starting with the bottom triangle:

Given that the two sides of the bottom triangle are both 25 units in length, we know that it is an isosceles triangle (despite its depiction otherwise).  Because of that, we know that the two bottom angles are equal.  We already know that the top corner is 90°, and that the sum of the angles in a triangle must be 180°  This means that the two bottom angles (again, contrary to how its drawn) are both equal to 45°

Now that we have that information, we can look at the over triangle.  We know that the bottom right corner is 45°, and that the bottom left is 90°.  That tells us that the top angle is also 45°.

With that said, we can redraw the image with the proper proportions.  See the attached image.

That very much simplifies things.  The line separating the triangles bisects the hypotenuse of the larger triangle, meaning that x is also equal to 25.

To be sure of that though, we can prove it another way.  Given that the bottom two corners are both 45, we can use the sine rule to measure x.  The sine rule states that the sine of each angle in a triangle has the same ratio to their opposite sides.  Usually expressed as:

\(\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}\)

where a, b and c are the side lengths, and A, B and C are the angles of the corners opposite those sides.

With that we can take the two parts of the overall triangle's hypotenuse, 25 and x, and say that each of those divided by the sine of the angle opposite them is equal to each other:

\(\frac{x}{\sin 45} = \frac{25}{\sin 45}\)

This turns out to be very easy to solve, as both sides have the same denominator.  As a result, we can just multiply both sides by sin 45, giving us:

x = 25.

Answer:

Step-by-step explanation:

5

Answer:

x=7

Step-by-step explanation:

The "notches" on arc MN and arc PQ tell us that they're equal in length.

If they are, then the straight segments PQ and MN are equal too!

3x + 5 = 26

3x = 21

x = 7

Answer:

B=30,000

Y=The Plane's altitude

M= -2,000

X= Minutes

Equation: y=-2,000x+30,000

Slope= ?

Y-intercept= the point where you start at

what is the altitude after 10 minutes?=10,000

How Long does it take to get to 0 altitudes?=15 (Minutes)

Step-by-step explanation:

What are the choices for slope

The trigonometric identity that is true is:

sin G = cos I. Option D

First, we need to know that;

One acute angle in a right triangle has a sine value equal to the cosine value of the other acute angle.

From the information given, we have;

In a right scalene triangle GHI, where both angle G and angle I are acute, the value of sin G is equivalent to cos I.

Several alternatives, including sin G = sin I, cos G = cos I, tan G = tan I, sin G = tan I, sin G being the inverse of cos I, and cos G being the inverse of cos I, are invalid for a right scalene triangle with a known right angle.

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After considering the given data we conclude that the definite integral required to find the area of the region between the graph of \(y = 13 - x^2\)and y = 2x - 35 over the interval -6 ≤ x ≤ 5 is:
\(\int_{-6}^5[(13-x^2)-(2x-35)]dx=\frac{1276}{3}\approx 425.33\)

To place the definite integral needed to evaluate the area of the region ranging the graph of \(y = 13 - x^2\) and y = 2x - 35 over the interval -6 ≤ x ≤ 5, we can use the following steps:
First, we need to find the x-coordinates of the points where the two graphs intersect. Evaluating the two equations simultaneously that are equal to each other, we get:
\(13-x^2=2x-35\)
Simplifying this expression, we get:
\(x^2+2x-48 =0\)
Factoring this expression, we get:
\((x+8)(x-6)=0(x+8)(x-6)=0\)
Therefore, the two graphs intersect at x = -8 and x = 6.
To find the area between the two graphs over the interval -6 ≤ x ≤ 5, we need to set up the definite integral:
\(\int_{-6}^5[(13-x^2)-(2x-35)]dx\)
Simplifying the integrand, we get:
\(\int_{-6}^5(48-x^2-2x)dx\)
Integrating this expression, we get:
\(\left[48x-\frac{1}{3}x^3-x^2\right]_{-6}^5\)

Substituting the limits of integration, we get:
\(\left[48(5)-\frac{1}{3}(5)^3-(5)^2\right]-\left[48(-6)-\frac{1}{3}(-6)^3-(-6)^2\right]\)
Simplifying this expression, we get:
\(\frac{1276}{3}\approx 425.33\)
Therefore, the definite integral required to find the area of the region between the graph of \(y = 13 - x^2\) and y = 2x - 35 over the interval -6 ≤ x ≤ 5 is:
\(\int_{-6}^5[(13-x^2)-(2x-35)]dx=\frac{1276}{3}\approx 425.33\)
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The complete question is
Set up the definite integral required to find the area of the region between the graph of y = 13 - x ^ 2 and y = 2x - 35 over the interval - 6 ≤  x ≤ 5

Answer:

For the simulation, I used a random number table to determine whether or not Denita would get a medal in each of the 10 races. Based on the results of my 10 trials, I estimate that there is a 13.1% probability that Denita will get a medal in at least 5 of the next 10 races. This probability can also be expressed as a percent: 13.1%.

Answer: 60%

Step-by-step explanation:

The random number table was used to simulate the outcomes of Denita's 10 upcoming races. For each trial, a number from 0 to 9 was chosen and that number was treated as the number of races Denita would win a medal in. If the number was 5 or higher, it was counted as a success. After 10 trials, 6 successes were recorded, giving Denita a 60% chance of winning a medal in at least 5 of the 10 races.

Answer:

shouldn't it be all the same answer since it looks like a equilateral triangle

Answer:

10

Step-by-step explanation:

2, 9, 10, 4, 8, 4, 12

Put the data from smallest to largest

2, 4 , 4, 8,9, 10 ,12

The range is the largest number minus the smallest number

12 - 2 = 10

Let's find rate of change(slope)

\(\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(\\ \sf\longmapsto m=\dfrac{20-10}{4-2}\)

\(\\ \sf\longmapsto m=\dfrac{10}{2}\)

\(\\ \sf\longmapsto m=5\)

The slope of line is 3.75.

The slope tells The number of millimeters for pad wears down each week.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

From the Graph the slope of line

= (30- 0)/ ( 8-0)

=30/8

= 15/4

= 3.75

and, the slope tells The number of millimeters for pad wears down each week.

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Answer:

Step-by-step explanation:

D

the adult population in millions in 2015 was 197.37 million

The student question is asking about the adult population in millions, given that the Bureau of Labor Statistics announced that 141.13 million were employed, 16.59 million were unemployed, and 39.65 million were not in the labor force in 2015.

To find the adult population, we need to add the number of employed, unemployed, and not in the labor force adults. This can be done as follows:

Adult population = Employed + Unemployed + Not in the labor force

= 141.13 million + 16.59 million + 39.65 million= 197.37 million

Therefore, the adult population in millions in 2015 was 197.37 million (rounded to two decimal places).

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The probability of the sum of the dots indicated greater than 5 is 13/18.

Since there are six different combinations of dots on each die, there are 36 different ways the two dice can be added together. 6*6=36

These are the values of the two die added upto greater than 5:

(1,5), (1,6), (2,4), (2,5), (2,6), (3,3), (3,4), (3,5), (3,6), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6).

So, 26 out of the 36 possible sums are greater than 5, so the probability of the sum of dots being greater than 5 is 26/36 = 13/18.

So, our final answer is 13/18.

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Answer: f(t)=h(t)+d(t)

f(t)=-16t^2+15t+6

Step-by-step explanation:

I just got this question right

Answer:

B.)The volume of the triangular prism is not equal to the volume of the cylinder.

Step-by-step explanation:

Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.

Since the prism has height 2 units, its volume V₁ = 2A.

Since the cylinder has height 6 units, its volume is V₂ = 6A

Dividing V₁/V₂ = 2A/6A =1/3

V₁ = V₂/3.

The volume of the prism is one-third the volume of the cylinder.

So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.

So, the volume of the triangular prism is not equal to the volume of the cylinder.

In a primitive Pythagorean triple, the sides a, b, and c are all integers, and they satisfy the equation a^2 + b^2 = c^2.

Now, let's assume that neither x nor y is divisible by 3. This means that x and y can only be 1, 2, 4, 5, 7, or 8 modulo 3. Therefore, x^2 and y^2 can only be 1 or 4 modulo 3. Now, let's consider the equation a^2 + b^2 = c^2 mod 3. If a and b are both 1 or both 2 modulo 3, then their squares will add up to 2 modulo 3, which is not a quadratic residue. Therefore, one of a and b must be 0 modulo 3, and hence, c must also be divisible by 3. We assumed that neither x nor y is divisible by 3. We then looked at the possible residues of x and y modulo 3 and saw that they can only be 1, 2, 4, 5, 7, or 8 modulo 3. We then used the fact that the sum of two quadratic residues is not a quadratic residue modulo 3, and concluded that one of a and b in the Pythagorean triple must be divisible by 3.

In conclusion, either x or y in a primitive Pythagorean triple must be divisible by 3. This is a result of the fact that the sum of two quadratic residues is not a quadratic residue modulo 3.

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Answer:

[25+(-13)+(-17)

25-13-17

-5

Macy had 3 appointments.

Logan had 5 appointments.

What is the quadratic equation?

A quadratic equation is a type of polynomial equation of degree 2, which is written in the form of "ax^2 + bx + c = 0", where x is the variable and a, b, and c are constants. The solutions to a quadratic equation can be found using the quadratic formula: x = (-b ± √(b^2 - 4ac))/2a.

Part A:

Let x be the number of appointments Macy had.

We know that the total income (60x + 40) must equal 220.

Therefore, the equation representing the situation is:

60x + 40 = 220

To solve for x, we can subtract 40 from both sides:

60x = 180

Finally, we divide both sides by 60 to get:

x = 3

Macy had 3 appointments.

Part B:

Let y be the number of appointments Logan had.

We know that the total profit (70y + 50 - 20y) must equal 300.

Therefore, the equation representing the situation is:

50y + 50 = 300

To solve for y, we can subtract 50 from both sides:

50y = 250

Finally, we divide both sides by 50 to get:

y = 5

Logan had 5 appointments.

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Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkk

The actual length of the living area is 134.4 feet if the length in the scale drawing is 16.8 in the scale.

To determine the actual length of the living space from a scale drawing, we need to use the scale factor, which is the ratio of the length in the drawing to the actual length. If the length in the scale drawing is 16.8 inches and the scale is given as a ratio of 1 inch in the drawing to 8 feet in actual size, we can set up a proportion:

1 inch (drawing) / 8 feet (actual)

= 16.8 inches (drawing) / x (actual)

We can cross-multiply and simplify to find x's value:

1 inch × x = 8 feet × 16.8 inches

x = (8 feet × 16.8 inches) / 1 inch

x = 134.4 feet.

Therefore, the actual length of the living space is 134.4 feet.

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The probability that a sample of five parts from a production process that produces 3% defective parts contains exactly two defective parts is approximately 0.2834.

To find this probability, we can use the binomial probability formula:

P(X = 2) = (5 choose 2) * 0.03^2 * (1 - 0.03)^3

Where "X" is the number of defective parts in the sample, "5 choose 2" represents the number of ways to choose 2 defective parts out of 5, and 0.03 and (1 - 0.03) represent the probabilities of selecting a defective and non-defective part, respectively.

Using a calculator, we can simplify and compute:

P(X = 2) = (5 choose 2) * 0.03^2 * 0.97^3

= 10 * 0.0009 * 0.9127

≈ 0.0081

Therefore, the probability is approximately 0.0081 or 0.81%.

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Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Answer:

65

Step-by-step explanation:

y= 5.0 + 1.2x

when x = 50

y = 5.0 + 1.2 x 50

=  5.0 + 60

= 65

The value of y is 65 when x = 50, or the number of points the team was scored was 65.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A sports analyst determines that the number of points scored in a basketball game is related to the number of shots taken during the game.

y= 5.0 + 1.2x

Plug x = 50

y = 5.0 + 1.2 x 50

=  5.0 + 60

= 65

Thus, the value of y is 65 when x = 50, or the number of points the team was scored was 65.

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Answer:

\(x=7\)

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees.

So we have  \(108+47+(2x+11)=180\)

Solve for x.

\(47+(2x+11)=72\)

\(2x+11=25\)

\(2x=14\)

\(x=7\)

Answer:

7

Step-by-step explanation:

108+47=155

180-155=25

25-11=14

14/2=7

Answer:

12 minutes to 32 minutes

Step-by-step explanation:

just took exam

If the mean time is 22 minutes and the standard deviation is 5 minutes, 95% of the employees will have a travel time within 12 minutes and 32 minutes.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We know that the mean travel time is 22 minutes (µ = 22) and the standard deviation is 5 minutes (σ = 5).

Using the empirical rule, we know that  95% of the data will fall within 2 standard deviations of the mean.

Therefore, we need to find the interval that is 2 standard deviations away from the mean in both directions.

The lower end of the range would be:

µ - 2σ = 22 - 2(5) = 12 minutes

The upper end of the range would be:

µ + 2σ = 22 + 2(5) = 32 minutes

Therefore,  95% of the employees will have a travel time between 12 minutes and 32 minutes.

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