A container contains a large unspecified number of​ ping-pong balls. A student takes 80 balls from the​ container, marks them with a blue​ dot, returns the marked balls to the​ container, and thoroughly mixes the balls. She then takes 80 balls again from the container. Of​ these, 16 have blue dots. She now wants to use this data to estimate the total number of​ ping-pong balls in the container. What is an estimate for the number of​ ping-pong balls in the​ container?

Answer:

The nth term = n^2 - 2n - 3.

Step-by-step explanation:

                     -4 -3  0  5  12  21  32

Differences      1  3  5  7    9    11

Difference         2 2   2   2    2    <-- divide this by 2 so its n^2.

So the first term is n^2

List the original numbers  and values of n^2:

sequence   -4  -3  0   5    12    21   32

n^2               1    4  9   16  25   36   49

Subtract      -5  -7 -9  -11   -13   -15    -17

These last numbers have a common difference of -2 so the next part of the answer is -2n and get the  -5, -7 etc we add -3.

So our formula is n^2 - 2n - 3.

Check for the 3rd term:

3rd term is  3^2 - 2(3) - 3 = 0.

5th term = 5^2 - 2(5) - 3 =  25 - 10 - 3 = 12.

Answer:

The answer is D. x= 4

Step-by-step explanation:

The angles are congruent so

2.3x +25 = 5.8x + 11

2.3x - 5.8x = 11 - 25

-3.5x = -14

x = 14/3.5

x = 4.

Answer:

The answer to your question is the letter D.

Step-by-step explanation:

Data

First angle          2.3x + 25

Second angle    5.8x + 11

Process

1.- This angles are congruents, this menas that they measure the same so to find x, equal both values.

                         2.3x + 25 = 5.8x + 11

2.- Solve for x

                         2.3x - 5.8x = 11 - 25

3.- Simplification

                                -3.5x = -14

                                      x = -14/-3.5

4.- Result

                                     x = 4

Answer

the absolute value of -2 is greater than the absolute value of 1.5

Step-by-step explanation:

the absolute value of -2 is 2 and the absolute value of 1.5 is 1.5  

The absolute value of -2 is 2, which is greater than 1.5. Therefore, this inequality is false.

The absolute value of -3.5 is 3.5, which is greater than 2.5. Therefore, this inequality is true.

From the information given, we have that;

|−2| < 1.5:

The absolute value of -2 is 2, which is greater than 1.5. Therefore, this inequality is false.

|−3.5| > 2.5:

The absolute value of -3.5 is 3.5, which is greater than 2.5. Therefore, this inequality is true.

Since we have an OR statement ("or"), if at least one of the inequalities is true, the entire statement is true.

In this case, only the second inequality is true.

Therefore, the overall statement is true.

The complete statement:

The absolute value ___-2__ < __1.5___ or ___-3.5 __ > _2.5______

When you cross-multiply the fractions 2/5 and 3/8, you obtain two products: 16 and 15.

To find the products obtained when you cross-multiply the fractions 2/5 and 3/8, you multiply the numerator of the first fraction with the denominator of the second fraction, and the denominator of the first fraction with the numerator of the second fraction.

So, here are the steps:

Therefore, the two products you get when you cross-multiply the fractions 2/5 and 3/8 are 16 and 15. Thus, the correct answer is option c: 16 and 15.

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Answer:

A) 18+81=9(x^2+6x+9)

D)11+(x+3)^2

Step-by-step explanation:

To solve this by completing the square, we want to get it to the form of: (x + 3)^2 = 9

There are multiple ways to get there.

First we could divide by 9 to get.

x^2 + 6x = 0

Then, add 9 to both sides to get:

x^2 + 6x + 9 = 9

Factor the left side:

(x + 3)^2 = 9

Now, you can solve this equation by completing the square.

(*I think you have a typo in your answer choices)

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Answer:

It should take somewhere between 8 to 9 minutes to decay until there are 30 grams remaining.

It will take about 8 minutes until there are 30 grams of the element remaining.

percentage, a relative value indicating hundredth parts of any quantity.

we can use the formula for exponential decay:

[tex]N(t) = N_{0} e^(^-^k^t^)[/tex]

where:

N₀ is the initial quantity (in grams) of the element

N(t) is the quantity (in grams) of the element at time t

k is the decay constant

t is the time (in minutes)

We can start by finding the value of k, which is related to the percentage of decay per minute:

k = ln(1 - %/100)

= ln(1 - 30/100)

= -0.35667

Next, we can plug in the values we have and solve for t:

[tex]30 = 630.e^(^-^0^.^3^5^6^6^7^t^)[/tex]

Dividing both sides by 630, we get:

[tex]0.0476 = e^(^-^0^.^3^5^6^6^7^t^)[/tex]

Taking the natural logarithm of both sides, we get:

ln(0.0476) = -0.35667t

Solving for t, we get:

t = 7.75

Therefore, it will take about 8 minutes until there are 30 grams of the element remaining.

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Answer:

About 6 athletes.

Step-by-step explanation:

We are concerned only with the percent of athletes that are above one standard deviation.

Between one standard deviation and two standard deviations, there is 13.6% of the athletes.

From 2 to 3, there is 2.1%. Above 3, there is 0.2%.

The sum of those percentages is 15.9% of 40 = 0.159 · 40 = 6.36 or about 6 athletes.

Hope this helps.

The solution is: About 6 athletes does that represent.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

We are concerned only with the percent of athletes that are above one standard deviation.

Between one standard deviation and two standard deviations, there is 13.6% of the athletes.

From 2 to 3, there is 2.1%. Above 3, there is 0.2%.

The sum of those percentages is 15.9% of 40

= 0.159 · 40

= 6.36 or about 6 athletes.

Hence, The solution is: About 6 athletes does that represent.

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Answer:

The answer to your question is the letter A.

Step-by-step explanation:

Data

             y = x² + 10x + 26

Factor the right side of the equation

         y - 26 = x² + 10x

-Complete the perfect trinomial square

         y - 26 + (5)² =  x² + 10x + (5)²

-Simplify

        y - 26 + 25 = x² + 10x + 25

              y - 1 = (x + 5)²

Vertex = (-5 , 1)

The function given is a vertical parabola whose axis of symmetry goes through x = -5

Answer:

1) 1320   2)278256  3)330  4) 455 5)56   6)336  7) 990  8) 2730

Step-by-step explanation:

Solution:

1) Democrats = 15,  Republicans = 11,  Independents= 8

Total = 15+ 11+ 8 =34

Number of 3 persons committee = 15nCr 1 * 11nCr1 * 8nCr1

nCr =combination

Number of 3 persons committee that can be made by choosing any republican or democrat or independent = 15 * 11* 8 =1320

2)Total number of possible 5 person subcommittes from any 34 people = 34nCr5 = 34!/(29! * 5!)

=278256

3) Number of ways republicans choose subcomittee of 4 members = 11nCr4

= 11!/(7! * 4!)=330 ways

4) Number of ways democrats choose subcomittee of 3 members = 15nCr3

= 15!/ (12! *3!)=455 ways

5) Number of waysindependents choose subcomittee of 3 members = 8nCr3

= 8!/(5! * 3!)= 56 ways

6) Number of ways independents choose chairperson, vice chairperson and secretary:

As one picks each post the number of person decreases

= (Chairperson)* (vice chairperson) * (secretary) = 8nCr1 * 7nCr1 * 6nCr1

=336 ways

7) Number of ways republicans can choose chairperson, vice chairperson and secretary

As one picks each post the number of person decreases

= (Chairperson)* (vice chairperson) * (secretary) = 11nCr1 * 10nCr1 * 9nCr1

= 990ways

8) Number of ways Democrats can choose chairperson, vice chairperson and secretary

As one picks each post the number of person decreases

= (Chairperson)* (vice chairperson) * (secretary) = 15nCr1 * 14nCr1 * 13nCr1

= 2730 ways

Answer:

the density of copper is 90.03g/cm³

Step-by-step explanation:

This problem bothers on the density of a substance, this case for a copper material

Given data

Mass of copper m = 1355g

Volume of copper block v= l*b*h

10*5*3=150cm³

We know that the density

ρ= mass/volume

ρ= 1355/150

ρ= 90.03g/cm²

The density of a substance is defined as the mass of the substance per unit volume

Answer:

The answer is 8.9 gm/cm cubed

Step-by-step explanation:

Just did it on algebra nation

Answer:

D

Step-by-step explanation:

100+25 * 12 ; 100+300 = 400 ; difference = 400-320=80 ; percent increase since it is 1 year = 80/320 =1/4=0.25 = 25/100=25%

Answer:

Cost: $13,680.82

Number of pairs of skates: 1057.25 / 1057-1058

Step-by-step explanation:

To find the cost of the wheels, we need to multiply the cost of a set, $6.47, by the number of wheels needed, 8458, for a quotient of 54723.26. We then divide this quotient by 4, the number of wheels in each set, to get the cost of $13,680.82.

Next, to find the number of pairs that Adam can put wheels on, we divide 8458, the number of wheels Adam has, by 8, the number of wheels Adam puts on each pair of skates. This leaves us with a quotient of 1057.25 pairs. The two whole numbers this number is between are 1057 and 1058.

Final answer:

Adam will spend $13,684.05 to purchase 2,115 sets of inline skate wheels.

He can put eight wheels on 1,057 pairs of inline skates, and the number falls between 1,057 and 1,058 pairs.

Explanation:

The student asked how much money Adam would spend to buy eight thousand four hundred fifty-eight inline skate wheels, given that skate wheels are sold in sets of four and each set cost six dollars and forty-seven cents. To find the total cost, we need to determine how many sets of four wheels are needed and then multiply by the cost per set.

First, we'll calculate the number of sets by dividing the total number of wheels by the number of wheels in a set:

Since you can't buy half a set, Adam needs to buy 2,115 sets of wheels.

Next, we multiply the number of sets by the cost per set to find the total cost:

To determine how many pairs of inline skates Adam can equip with eight wheels, we divide the total number of wheels by eight:

Adam can fully equip 1,057 pairs of inline skates with eight wheels, since you can't have a quarter of a pair of skates. Therefore, the number of pairs of inline skates Adam can put wheels on falls between 1,057 and 1,058.

Answer:

1 1/3 ft

Step-by-step explanation:

We have 8 feet of board to work with. In order to find how long each of the 6 pieces are, we need to divide 8 by 6: 8 / 6 = 4 / 3 = 1 1/3 ft.

Thus, the length of each piece is 1 1/3 ft.

Hope this helps!

Answer:

Inscribed angle

Step-by-step explanation:

an angle is a inscribed angle if the vertex is on a circle and the sides of the angle are chords of the the circle

Final answer:

An angle with its vertex on a circle and sides that are chords of the circle is called an inscribed angle. This concept relates to the angle of rotation, which is the arc length divided by the radius of the circle.

Explanation:

An angle with its vertex on a circle and sides that are chords of the circle is known as an inscribed angle. The angle is formed by the two chords that intersect on the circumference of the circle, creating an angle inside the circle.

To understand this concept in relation to movement along a circle's circumference, like a compact disc (CD), one can think of the movement in terms of the angle of rotation. For any point on a rotating CD, the rotation angle can be calculated. This angle is the ratio of the arc length (the distance traveled along the circumference) to the radius of the circle. If the CD completes one full revolution, this angle equals 2π radians (or 360 degrees), indicating a full rotation.

Understanding inscribed angles and rotation angles helps us think about geometric figures and rotational movement, whether in a mathematical problem or in a physical example like a CD rotating on its axis.

Answer with Step-by-step explanation:

We are given that

[tex]f(x)=4x[/tex]

Interval=[2,5]

[tex]h=\frac{b-a}{n}=\frac{5-2}{n}=\frac{3}{n}[/tex]

[tex]x_i=i\frac{3}{n}[/tex]

Where i=1,2,3,... n

[tex]f(x_i)=4i\times \frac{3}{n}=\frac{12i}{n}[/tex]

Riemann sum=[tex]\lim_{n\rightarrow \infty}\sum_{i=1}^{n}f(x_i)\cdot h=\lim_{n\rightarrow \infty}\sum_{i=1}^{n}(\frac{12i}{n}\times \frac{3}{n}[/tex]

Riemann sum=[tex]\lim_{n\rightarrow \infty}\frac{36}{n^2}\sum_{i=1}^{n}i[/tex]

Riemann sum=[tex]\lim_{n\rightarrow \infty}\frac{36}{n^2}\times \frac{n(n+1)}{2}[/tex]

By using

[tex]\sum n=\frac{n(n+1)}{2}[/tex]

Riemann sum=[tex]\lim_{n\rightarrow \infty}\frac{18n(n+1)}{n^2}=\lim_{n\rightarrow \infty}18(1+\frac{1}{n})[/tex]

Apply the limit

Area under the curve=[tex]18[/tex] square units

The Riemann sum formula for [tex]\(f(x) = 4x\)[/tex] over [2, 5] using right-hand endpoints and n subintervals is [tex]\(R_n = \sum_{k=1}^{n} 4\left(2 + k \cdot \frac{3}{n}\right) \cdot \frac{3}{n}\)[/tex]. The area is obtained by taking the limit as n approaches infinity.

The Riemann sum for a function f(x) over the interval [a, b] using right-hand endpoints and dividing the interval into n subintervals is given by:

[tex]\[ R_n = \sum_{k=1}^{n} f(c_k) \Delta x \][/tex]

where [tex]\( c_k \)[/tex] is the right-hand endpoint of the [tex]\( k \)[/tex]-th subinterval, [tex]\( \Delta x \)[/tex] is the width of each subinterval, and [tex]\( n \)[/tex] is the number of subintervals.

For the function f(x) = 4x over the interval [2, 5], the width of each subinterval [tex]\( \Delta x \)[/tex] is given by:

[tex]\[ \Delta x = \frac{b - a}{n} \][/tex]

In this case, [tex]\( a = 2 \), \( b = 5 \), and \( f(x) = 4x \)[/tex]. Therefore:

Now, the right-hand endpoint [tex]\( c_k \)[/tex] for each subinterval is given by:

[tex]\[ c_k = a + k \Delta x \][/tex]

Substitute the values:

[tex]\[ c_k = 2 + k \cdot \frac{3}{n} \][/tex]

[tex]\[ \Delta x = \frac{5 - 2}{n} = \frac{3}{n} \][/tex]

Now, substitute these expressions into the Riemann sum formula:

[tex]\[ R_n = \sum_{k=1}^{n} f(c_k) \Delta x \][/tex]

[tex]\[ R_n = \sum_{k=1}^{n} 4(2 + k \cdot \frac{3}{n}) \cdot \frac{3}{n} \][/tex]

Simplify this expression. To find the area under the curve, take the limit as n approaches infinity:

[tex]\[ \lim_{n \to \infty} R_n \][/tex]

This limit will give you the area under the curve f(x) = 4x over the interval [2, 5].

Answer:

11/16 and 12/16=3/4

Step-by-step explanation:

First we need to get a common denominator

5/8*2/2 = 10/16

The fractions between 10/16 and 13/16

are 11/16 and 12/16

We can simplify 12/16 =6/8=3/4

There are many others if we go with a higher common denominator.  These are just two examples

The total cost (excluding raw materials) of filling this order is $11,300.

Let's denote the matrices as follows:

[tex]\[ B = \begin{bmatrix} 400 \\ 200 \\ 350 \end{bmatrix} \][/tex]

This matrix represents the number of loaves for each type of bread.

[tex]\[ A = \begin{bmatrix} 14 & 25 & 2 \end{bmatrix} \][/tex]

This matrix represents the cost per hour for mixing, baking, and packaging.

[tex]\[ C = \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix} \][/tex]

This matrix represents the number of hours needed for each process (mixing, baking, packaging).

Now, we can calculate the product BAC to find the total cost:

[tex]\[ BAC = B \cdot A \cdot C \][/tex]

Let's perform the calculations:

[tex]\[ BAC = \begin{bmatrix} 400 \\ 200 \\ 350 \end{bmatrix} \begin{bmatrix} 14 & 25 & 2 \end{bmatrix} \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix} \][/tex]

[tex]\[ BAC = \begin{bmatrix} (400 \times 14 + 200 \times 25 + 350 \times 2) \end{bmatrix} \][/tex]

[tex]\[ BAC = \begin{bmatrix} 5600 + 5000 + 700 \end{bmatrix} \][/tex]

[tex]\[ BAC = \begin{bmatrix} 11300 \end{bmatrix} \][/tex]

So, the total cost (excluding raw materials) of filling this order is $11,300.

Answer:

D

Step-by-step explanation:

Just did the test

The error is in ''Step 3.''

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The box plots show Lauren's chemistry scores and her biology scores.

Now,

She should have calculated the interquartile range as,

Chemistry = 85 - 60 = 25

Biology = 80 - 60 = 20

In a box plot, The median is the point on the number line where a line divides the rectangular box.

Thus, from the information given in the question about the box plots, the median for Chemistry = 80 (this is where a line divides the box)

Median for Biology = 70

The difference in the median = 80 - 70 = 10.

Lauren didn't make any mistake in Step 1 and 2, as he equally got the same values.

⇒ The interquartile range in a box plot is simply the difference in the ranges = (Q3 - Q1).

From the given information,

The interquartile range for Chemistry = 85 - 60

                                                          = 25

And, The Interquartile range for Biology = 80 - 60

                                                              = 20

The difference in interquartile range = 25 - 20 = 5

Therefore, Lauren made an error in ''Step 3'' when calculating the interquartile range for both Chemistry and Biology, even though he arrive at the same value of the difference in the interquartile range we got as calculated above.

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The complete question is this,

The box plots show Lauren's chemistry scores and her biology scores. Chemistry 2 box plots. The number line goes from 50 to 100. For chemistry, the whiskers range from 55 to 90, and the box ranges from 60 to 85. A line divides the box at 80. For biology, the whiskers range from 50 to 90, and the box ranges from 60 to 80. A line divides the box at 70. Biology Lauren used the steps below to determine the differences in the medians and the interquartile ranges. Step 1 Find the median for chemistry: 80 Find the median for biology: 70 Step 2 Find the difference in the medians: 80 minus 70 = 10 Step 3 Find the interquartile range for chemistry: 85 minus 80 = 5 Find the interquartile range for biology: 80 minus 70 = 10 Step 4 Find the difference in the interquartile ranges: 10 minus 5 = 5 Lauren determined that the difference in the medians is greater than the difference in the interquartile ranges. Which explains Lauren's error?

Answer:

Explanation:

The measure of the missing angle is [tex]25^\circ[/tex]. So, the first option is correct.

Important information:

We need to find the third angle of the triangle.

According to the angle sum property, the sum measure of all interior angles of a triangle is 180 degrees.

Let [tex]x[/tex] be the measure of the missing angle.

[tex]x+35^\circ+120^\circ=180^\circ[/tex]

[tex]x+155^\circ=180^\circ[/tex]

[tex]x=180^\circ-155^\circ[/tex]

[tex]x=25^\circ[/tex]

Thus, the first option is correct.

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Answer:

The combined average length of five male elephants is 3750cm

Step-by-step explanation:

1 elephant = 7.5m

5 elephants=?

We cross multiply.

5 * 7.5= 37.5m

So the average combined length of 5 male elephants is 37.5m

So we convert 37.5m to centimetres

Recall, 100cm = 1m

With this in mind, we convert 37.5m to cm by multiplying by 100

So, 37.5 x 100= 3750cm.

The combined average length of five male African elephants is 3750 centimeters, obtained by converting the length of one elephant to centimeters and multiplying by five.

To calculate the combined average length, in centimeters, of five male African elephants, we start by converting the length of one elephant from meters to centimeters. Knowing that 1 meter is equivalent to 100 centimeters, we can find the length of one elephant in centimeters:

7.5 meters/elephant × 100 centimeters/meter = 750 centimeters/elephant

Now, to find the total length of five elephants:

750 centimeters/elephant × 5 elephants = 3750 centimeters

Therefore, the combined average length of five male African elephants is 3750 centimeters.

Simulate a true/false test by flipping a coin for each question with heads for 'true' and tails for 'false'. To select a homeroom representative from six students, assign numbers and use a random number generator or equivalent method for random selection.

To simulate the situation where you guess the answers on a true/false test with 20 questions, you could use a coin to represent the random guessing. Flip the coin 20 times where heads represents 'true' and tails represents 'false', recording the number of correct outcomes as needed. Since each question can only have one correct answer, the probability of getting a question right is 0.50.

For the situation where one student out of 6 is randomly chosen to be the homeroom representative, you could assign each of the six students a number from 1 to 6. Then, using a random number generator, die, or drawing numbers from a hat, you select a number at random to determine the representative. The probability of any one student being selected is [tex]\frac{1}{6}[/tex] or approximately 0.17.

Answer:

153.1ml

Step-by-step explanation:

We have 12.5ml of acid in the solution.

If we want this to be 3% then we can divide this value by 3 and times by 100 to get the total value.

416.6ml total solution amount

415.6-12.5-250=153.1

Answer:

10,219 bacteria

Step-by-step explanation:

In this question, we are asked to calculate the population of bacteria in a culture given the formula for the population increase.

From the question, we know the formula to use is

Pt=Po*2^t/d

From the parameters in the question, we identify that Pt is ?, Po is 8300 bacteria , t is 3 hours and d is 10 hours which is the doubling time. Inserting these figures we have;

Pt = 8300 * 2^(3/10)

Pt = 8300 * 2^0.3

Pt = 10,218.5

Pt = 10,219 bacteria to the nearest whole number

Answer:

10218

Step-by-step explanation:

A culture of bacteria has an initial population of 8300 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P

t

​

=P

0

​

⋅2

d

t

​

, where P_tP

t

​

 is the population after t hours, P_0P

0

​

 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 3 hours, to the nearest whole number?

P_0=8300

P

0

​

=8300

The initial population

t=3

t=3

Time elapsed

d=10

d=10

The doubling time

P_t = P_0\cdot 2^{\frac{t}{d}}

P

t

​

=P

0

​

⋅2

d

t

​

P_t=8300\cdot 2^\frac{3}{10}

P

t

​

=8300⋅2

10

3

​

Plug in

P_t=10218.4986\approx10218

P

t

​

=10218.4986≈10218

Use parenthesis in the calculator for the exponent

10218

Final answer:

The area of Ciro's trapezoidal sign is calculated using the formula for the area of a trapezoid, which is 503.5 square inches.

Explanation:

The student's question involves calculating the area of a trapezoid. The formula for the area of a trapezoid is ½(√ + ∛)×h, where √ and ∛ are the lengths of the parallel sides and h is the distance between these sides. Given that √ = 18 inches, ∛ = 35 inches, and h = 19 inches, plug these values into the formula to get:

Area = ½(18 inches + 35 inches) × 19 inches

Area = ½(53 inches) × 19 inches

Area = 26.5 inches × 19 inches

Area = 503.5 square inches

So, the area of Ciro's sign, which is trapezoidal is 503.5 square inches.

Answer:

Step-by-step explanation:

Using the distributive property of multiplication

3( 4x - 9)

= 12x - 27

Answer:

12x - 27

Step-by-step explanation:

multiply the 3 to both 4x and -9

3 * 4x = 12x

3 * -9 = -27

combine

12x - 27

Answer:

1/2 because cake are almost made out of the same thing pie are made of so they are using half of the intransigents to make cake and there using it to make pie

Step-by-step explanation:

Answer:

A. 2/7

Step-by-step explanation:

took the test on edg.2020

good luck :)

$65×25%=$65×($65×0.25)=$1056.25

$823×21.4%=$823×($823×0.214)=$144,948.406

$33,333×4.3%=$33,333×($33,333×0.043)=$47,776,822.227

$12,831×52%=$12,831×($12,831×0.52)=$85,609,971.72

$44,893×3.4%=44,893×(44,893×0,034)=$68,522,969.266

Answer:

The correct option is;

a. two-sample t-test

Step-by-step explanation:

Here, since the test involves taking samples from two different population and then comparing parameters within the statistical results obtained from the samples, the appropriate statistical hypothesis testing to be used is the two sample t-test

A two sample t- test is used in statistical hypothesis testing on data from two samples obtained from different population so as to find out if the difference in the parameters of the two population are statistical significant.

Answer:

the answer is actually

Step-by-step explanation:

1. Start with 8 negative tiles

2.Separate  the tiles into 2 equal groups

3. Count the number of tiles in each group.

Answer:

36.87°

Step-by-step explanation:

Since ABC is a right-angle triangle, we can use trigonometric ratios to solve for unknown angles and sides.

For Angle at A, we have lengths of opposite and adjacent sides so we can use tangent at A.

tan(A) = opposite/adjacent

tan(A) = CB/AB

tan(A) = 6/8

A = (tan^-1)(0.75)

A = 36.86989765°