R(-2,8) S(10,6) midpoint

The row for 20 degrees and the row for 70 degrees in the right triangle table have the same values, but in reverse order.

Specifically, the sine, cosine, and tangent of 20 degrees are the same as the cosine, sine, and tangent of 70 degrees, respectively. The same holds true for their reciprocals, the cosecant, secant, and cotangent.

It should be noted that to complete the row for 35 degrees in the right triangle table, we can use the same ratios as for the complementary angle of 55 degrees, but in reverse order. Specifically:

The adjacent leg ÷ hypotenuse ratio for 35 degrees is equal to the opposite leg ÷ hypotenuse ratio for 55 degrees, which is 0.819.

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Answer:

15

Step-by-step explanation:

5/ 1/3

if you are dividing a fraction, you have to flip the reciprocal and multiply.

1/3= 3 (the reciprocal)

5*3= 15

Hope this helps!

Answer:

15

thats what i got

Answer:

Area = 600

Step-by-step explanation:

The area formula for rectangles is length x width. In this equation, the length is 20 and the width is 30, multiplying them together gets us the area of 600.

The measures of the three angles in a triangle is 84°, 30° and 66° respectively.

α + β + γ = 180° . From this, you can calculate the angles: ax, bx, and cx, as well as the unknown x. We translate these ideas into a detailed procedure for using ratios to locate missing angles in triangles in the following section.

The ratios are:

∠A = 14, ∠B = 5, ∠C = 11

Total ratio = 14 + 5 + 11= 30

The total angle in a triangle = 180°

So,

∠A= 14 / 30 × 180°= 0.46× 180°= 84°

∠B= 5/30 × 180°= 0.16 × 180°=30°

∠C= 11/30 × 180°= 0.366× 180°= 66°

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The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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An investigation whether smokers are more likely than non smokers to get lung cancer by grouping the class students into two groups is an example of experimental study.

Experimental Study: An experimental study is a study where the researcher has control over most of the variables. In contrast an observational study is a study where the researcher purely observes subject without controlling any variables. We have to investigate whether smokers are more likely than non-smokers to get lung cancer. Here the study is experimental study because the researcher/ we are trying to investigate the students of smokers and non-smokers. So, here control the members of the population that is students by randomly selecting them and dividing them in two groups (that is half -half) and provide one group cigarettes and not provide the other one. So, the above example of an experimental study. The following difficulties are come in study :

Hence, the given problem is an example of experimental study.

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Using multiplication we know that after 141 min there will be 400,000 bacteria present.

One of the four fundamental arithmetic operations, along with addition, subtraction, and division, is multiplication.

A product is the output of a multiplication operation.

When you take a single number and multiply it by several, you are multiplying.

A 5 multiplied by 4 results in 20 (5 + 5 + 5 + 5).

We multiplied the number five by four times.

Multiplication is commonly referred to as "times" because of this.

So, in the given situation:

At the initial stage, the number of bacteria is: 50,000

Then, after 47 min: 50,000 * 2 = 100,000

Then, after 47 min which is after 94 min: 100,000 * 2 = 200,000

Then, after 47 min which is after 141 min: 200,000 * 2 = 400,000

Therefore, using multiplication we know that after 141 min there will be 400,000 bacteria present.

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Step-by-step explanation:

the answer to this question is false

The numeric value of the expression sec²(54º) - 1, using a trigonometric identity, is given as follows:

tan²(54º) = 1.8944.

Before applying the trigonometric identity, we have to define the secant and the tangent of an angle, as follows:

The identity that exists between the squares of these measures is given as follows:

tan²(x) + 1 = sec²(x).

Hence, isolating the tangent:

tan²(x) = sec²(x) - 1.

In this problem, the expression is given as follows:

sec²(54º) - 1

Applying the identity, the expression is given as follows:

sec²(54º) - 1 = tan²(54º).

Using a calculator, the numeric value of the expression is given as follows:

tan²(54º) = 1.8944.

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Answer: See bolded below

Step-by-step explanation:

Average rate of change is the slope. To find that, we would need the equation \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\).

Reminder: The scale fo the graph goes by 2. You need to make sure you are looking at the right coordinates.

1. The coordinate points are (1, 2) and (2, 4).

\(m=\frac{4-2}{2-1}=\frac{2}{1} =2\)

The average rate of change is 2.

2. The coordinate points are (2, 4) and (3, 8).

\(m=\frac{8-4}{3-2} =\frac{4}{1} =4\)

The average rate of change is 4.

3. The coordinates are (3, 8) and (4, 16).

\(m=\frac{16-8}{4-3} =\frac{8}{1} =8\)

The average rate of change is 8.

Answer:

The Clean & Bright box holds more detergent than the Soapy Suds box.

Step-by-step explanation:

The volume of the Soapy Suds Box is:

8 x 13 x 9 = 936 cubic inches

The volume of the Clean & Bright Box is:

13 x 12 x 8 = 1248 cubic inches

Therefore, the Clean & Bright box holds more detergent than the Soapy Suds box.

Answer:

I got 0.6

Step-by-step explanation:

plug in c and d

0.5(15) - 2.3(3)

multiply them

7.5 - 6.9 = 0.6

Answer:

-1/2

Step-by-step explanation:

Pick two points on the line

(-2,3) and (2,1)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = (1-3)/(2 - -2)

   = (1-3)/(2+2)

    = -2/4

   = -1/2

Answer:

\(\displaystyle m = \frac{-1}{2}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify points from graph

Point (0, 2)

Point (4, 0)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

4-3 of cup

Step-by-step explanation:

just took the test

The slope for the function f(t) = 3 - 3/5t at point (3/5, 2) is 5/3.

What is slope?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

The given function is - f(t) = 3 - 3/5t.

The data points are - (3/5, 2)

Rewrite the function -

f(t) = 3 - 3/5 t^-1

Differentiate with respect to t. Use the difference rule.

d/dt (3) - d/dt (3/5 t^-1)

Use the constant rule and the constant multiple rule.

0 - 3/5 d/dt (t^-1)

Use the power rule.

-3/5(-1)t^(-1 - 1)

3/5t^-2

Now plug in 3/5 for t on the derivative in order to find the slope at point (3/5, 2).

3/5(3/5)^-2

3/5(5/3)^2

3/5 × 25/9

5/3

Therefore, the slope value is 5/3.

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Find the slope of the graph of the function at the given point.

Function Point f(t) = 3 - 3/5t (3/5, 2)

Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

It is likely that this sample could be a random sample from a population whose mean is known to be 113.5.

A sample of 13 children has a mean IQ of 112 and a standard deviation of 15.

The population means is known to be 113.5.

To find out whether the given sample is a random sample from the population, we will conduct a hypothesis test.

Null hypothesis:H0: μ = 113.5 (sample mean is not significantly different from the population mean)

Alternative hypothesis:

Ha: μ ≠ 113.5 (sample mean is significantly different from the population mean)We will use a two-tailed t-test at a 5% level of significance.

The formula for t-score is:t-score = (sample mean - population mean) / (standard deviation / √sample size)Putting values in the formula,t-score = (112 - 113.5) / (15 / √13)t-score = -1.5 / 4.135t-score = -0.3627

Critical values for a two-tailed t-test at 5% level of significance and degrees of freedom 12 are ±2.178. Since -0.3627 lies between the critical values, we accept the null hypothesis.

Hence, it is likely that this sample could be a random sample from a population whose mean is known to be 113.5.

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Answer: a

Step-by-step explanation:pls brainly me

Answer:

10 2 28

9 3 30

8 4 32

7 5 34

6 6 36

Answer:the answer is D

Step-by-step explanation:

Type of Attention Impact on Encoding Process

1. Sustained attention Facilitates thorough encoding of information.

2. Selective attention Enhances encoding of attended stimuli while filtering out irrelevant information.

3. Divided attention Impairs encoding by dividing attentional resources among multiple tasks.

4. Exogenous attention Captures attention involuntarily, potentially interrupting the encoding process.

5. Endogenous attention Voluntarily directed attention that can prioritize specific information for encoding.

1. Sustained attention: Sustained attention refers to the ability to maintain focus over an extended period. It has a positive impact on the encoding process as it allows for thorough and comprehensive encoding of information.

2. Selective attention: Selective attention involves focusing on specific stimuli while filtering out irrelevant information. It enhances the encoding process by directing attention to the relevant stimuli, promoting their effective encoding.

3. Divided attention: Divided attention refers to the attempt to allocate attention to multiple tasks simultaneously. Dividing attention among multiple tasks impairs the encoding process as attentional resources become fragmented, leading to less effective encoding of information.

4. Exogenous attention: Exogenous attention is captured involuntarily by external stimuli, potentially interrupting the encoding process. It can divert attention away from the intended encoding task, resulting in a negative impact on encoding.

5. Endogenous attention: Endogenous attention is voluntarily directed attention that allows individuals to prioritize specific information for encoding. It enhances the encoding process by selectively focusing on relevant stimuli and allocating cognitive resources accordingly.

Different types of attention have varying impacts on the encoding process. Sustained attention and selective attention positively influence encoding, while divided attention and exogenous attention have negative effects. Endogenous attention, on the other hand, can enhance encoding by prioritizing specific information.

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It takes a train going 50 mph approximately 11/2 miles to stop safely.

The distance a train takes to come to a stop can be determined by several factors, including the speed of the train, the weight of the train, the condition of the brakes and the track, and the reaction time of the engineer.

In general, a train going 50 mph will take about 1 1/2 miles or 8,000 feet to stop safely. This is because a train moving at 50 mph is traveling at about 75 feet per second, and it takes a significant distance to slow down a heavy object moving at such a high speed. It's important to note that this is an estimation, and the actual stopping distance may vary depending on the specific conditions.

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The difference between the given statements is that opposite sides are congruent means that all four sides of the quadrilateral are equal in length.

While one pair of parallel sides means that two sides of the quadrilateral are parallel and have the same length, the other two sides may or may not have the same length.

These two conditions define different types of quadrilaterals like a rectangle and a parallelogram, respectively.

So the answer is "construct a quadrilateral with one pair of opposite sides congruent and parallel."

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Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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Step-by-step explanation:

First graph a point at (0, 20) since that is the y-intercept. Then, at (1, 35) then at (2, 50) and draw a line connecting all three points. We graph them at these points because we know that for every month, we spend $15, so we go up by intervals of 15 for every month.

The true statement is (d) the product of c and b could be multiplied by one-third.

The variation equation can be represented as:

\(a = \frac{bc}{d}\)

When the value of d is tripled, the equation becomes

\(a = \frac{bc}{3d}\)

This means that: the product of c and b could be multiplied by one-third.

Hence, the true statement is (d)

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The values of the trigonometric identities are;

1. tan X = 10/17

2.  tan X = 29/25

3. sin A = 24/25

4. tan C = 15/17

5. sin A = 8/17

6. cos A = 9/41

7. cos Z = 3/4

Note that fractions are the part of a whole number.

Also,

sin θ = opposite/hypotenuse

cosθ = adjacent /hypotenuse

tan θ = opposite/adjacent

1. tan X = opposite/ adjacent

tan X = 30/21 = 10/7

2. tan X = 29/25

3. sin A = opposite/hypotenuse

sin A = 24/25

4. tan C = opposite/adjacent

tan C = 30/34

tan C = 15/17

5. sin A = 16/34

sin A = 8/17

6. cos A = adjacent/hypotenuse

cos A = 9/41

7. sin A = 21/35

8. cos Z = 21/28

cos Z = 3/4

Hence, the fractions takes the function of the trigonometric identities.

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Answer:

the second choice

Step-by-step explanation:

2 has to be divided into 8 parts in total which is shown by option B

The measure of AC is 8.4 and measure of C'B' is 21.

A triangle is a three-sided polygon that consists of three edges and three vertices.

CB is the midsegment of the triangle ABC.

We have to find the measures of AC and C'B'

By proportional theorem we find AC

AC'/C'C=10/4

6/x=10/4

24/10=x

2.4=x

A=2.4+6=8.4

C'B'=1/2CB

=1/2×21

=10.5

Hence, the measure of AC is 8.4 and measure of C'B' is 21.

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