QUESTIONEIn the diagram of AABC shown below, BC = 10 andAB 16.BсTo the nearest tenth of a degree, what is the measure of thelargest acute angle in the triangle?0.900O 38.70 32.004513

Answer:

-10 as others are variables can take any values

Answer:

Therefore, Marge's finance charge on the computer is $97.

Step-by-step explanation:

To calculate Marge's finance charge on the computer, we need to find the total amount she will pay for the computer through the installment plan and subtract the original purchase price.

Down payment = $100

Total amount paid for the computer = Down payment + Monthly payment * Number of months

Total amount paid = $100 + ($58 * 12)

Total amount paid = $100 + $696

Total amount paid = $796

Finance charge = Total amount paid - Purchase price

Finance charge = $796 - $699

Finance charge = $97

Therefore, Marge's finance charge on the computer is $97.

Answer:

y = -10x -6

Step-by-step explanation:

Incomplete question. I Assumed the number of people is 6. In other words, In how many ways can 6 people be lined up to get on a bus if a particular person always boards the bus first or last?

Answer:

6

Step-by-step explanation:

Note, this question involves the use of the permutation formula; which helps determine the arrangement or rearrangement of a set of objects in an ordered way. Since we are told a particular person (ie 1 person) from among the group always boards first or last, it forms our r.

P(n,r)= \(\frac{n!}{(n-r)!}\) where n = number of people; r = the difference taken at a time.

P(n,r) = \(\frac{6!}{(6-1)!}\) = \(\frac{720}{120} = 6\)

Answer:3.8

Step-by-step explanation:

Answer

what r the options? a b c d?????

i wuld say it is 2.5

Step-by-step explanation:

Answer:

x=2

Hope this helps! :)

3x+5x=8x

23-7=16

16÷8

Answer:

x = 2

Step-by-step explanation:

3x + 7 = 23 - 5x

3x + 5x = 23 - 7

8x = 16

x = 2

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Find the value of the probability of the standard normal variable Z corresponding to this area for problems 1-3.

1. P(Z < 1.62)

2. P(Z > -1.57)

3. P(-1.41 < Z < 0.63)

Solution:

Use Excel to solve the problems.

(1)

P(Z < 1.62)  =NORM.S.DIST(1.62,TRUE)

                 = 0.9474

(2)

P(Z > -1.57)  = P (Z < 1.57)

                  =NORM.S.DIST(1.57,TRUE)

                  = 0.9418

(3)

P(-1.41 < Z < 0.63) = P (Z < 0.63) - P (Z < -1.41)

                             =NORM.S.DIST(0.63,TRUE) - NORM.S.DIST(-1.41,TRUE)

                             = 0.7357 - 0.0793

                             = 0.6564

Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Using margin of error, it is found that increasing the sample size results in a smaller sampling error.

The equation for the margin of error is given by:

\(M = c\frac{s}{\sqrt{n}}\)

In which:

From the equation, it can be noted that the margin of error is inversely proportional to the square root of the sample size, hence, increasing the sample size results in a smaller sampling error.

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The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

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Answer:

m<2 = 87

m<4 = 87

m<7 = 93

Step-by-step explanation:

The limit lim x → 3 (x^3 - 4x + 3) = 18, the largest possible values of δ that correspond to ε = 0.2 and ε = 0.1 are approximately δ = 0.5 and δ = 0.2, respectively.

To find the largest possible values of δ corresponding to ε = 0.2 and ε = 0.1 for the given limit, we need to use the definition of a limit and manipulate the expression until we isolate δ.

The definition of a limit states that for any ε > 0, there exists a δ > 0 such that if 0 < |x - 3| < δ, then |(x^3 - 4x + 3) - 18| < ε.

Let's work through the calculations for ε = 0.2:

|(x^3 - 4x + 3) - 18| < 0.2

Simplifying the expression within the absolute value:

|x^3 - 4x - 15| < 0.2

To find the largest possible value of δ, we want to determine the maximum distance between the function and the limit value of 18 within the given tolerance ε = 0.2.

Using a graphing calculator, we can plot the function f(x) = x^3 - 4x + 3 and observe the values of x for which |f(x) - 18| < 0.2. By analyzing the graph, we can find the largest possible interval around x = 3 that satisfies this condition.

By observing the graph, it appears that for ε = 0.2, the largest possible value of δ is approximately 0.5.

Now let's repeat the process for ε = 0.1:

|(x^3 - 4x + 3) - 18| < 0.1

|x^3 - 4x - 15| < 0.1

Using the same approach as before, we can graph the function f(x) = x^3 - 4x + 3 and identify the largest possible interval around x = 3 where |f(x) - 18| < 0.1.

Based on the graph, it seems that for ε = 0.1, the largest possible value of δ is approximately 0.2.

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Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.

Answer:

D = 11

Step-by-step explanation:

A = 4

B = 9

C = 11

D = 4 + (2 * 9) - 11

D = 4 + 18 - 11

D = 22 - 11

D = 11

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A rational function is the algebraic expression y = 2 / x. (Correct choice: A)

Rational functions are algebraic expressions, whose form is described below:

R(x) = P(x) / Q(x)

Where:

Please notice that Q(x) must be a polynomial whose grade is greater than zero.

Polynomials are algebraic expressions of the form:

P(x) = ∑ cₙ · xⁿ, for n = {0, 1, 2, 3, ..., n, ..., m}, where m is the grade of the polynomial.

Therefore, by direct inspection, we conclude that algebraic expression y = 2 / x is a rational expression.

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According to the solving the value of the Quadratic equation are as follows:

x = 0

x = 2

We can answer any quadratic equation using the quadratic formula. The first step is to change the equation's form to ax2+bx+c=0, where a, b, but instead c are the coefficients. The formula (-b(b2-4ac))/(2a) is then used to enter these coefficients. View instances of the formula being used to solve various equations.

Make a video of the pupils utilizing one technique to solve a quadratic equation. Allowing pupils to pick is an option, but you can also direct them to utilize the quadratic equation, factoring, or square-rooting.

f(x) = 2x² – 3x

x- (2x² – 3x) = 0

x - 2x² + 3x = 0

4x - 2x²= 0

x = 0

x = 2

According to the solving the value of the Quadratic equation are as follows:

x = 0

x = 2

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Answer:

222.4 cm

Step-by-step explanation:

16cm x 13.9 cm =222.4 cm

hope this helped! :D

Answer:

Step-by-step explanation:

put C=13,700 and find m

The number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.

To find the number of miles that will yield an annual operating cost of $13,700, we need to solve the given equation for \(m\):

\[C = 0.37m + 2600\]

Given \(C = 13700\), we can substitute this value into the equation and solve for \(m\):

\[13700 = 0.37m + 2600\]

Subtract 2600 from both sides:

\[11100 = 0.37m\]

Now, divide both sides by 0.37:

\[m = \frac{11100}{0.37}\]

Calculate the value of \(m\):

\[m \approx 30000\]

So, the number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.

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The probability that a randomly selected student has a typing speed of less than 51 words per minute if the mean (u) is 47 words per minute and the standard deviation (o) is 4 words per minute is; 68%

The empirical rule in statistics states that for normal distributions, 68% of observed data points will lie inside one standard deviation of the mean, 95% will fall within two standard deviations, and 99.7% will occur within three standard deviations.

The formula for z-score is;

z = (x' - μ)/σ

where;

x' is sample mean

μ is population mean

σ is standard deviation

We are given;

x' = 51

μ = 47

σ = 4

Thus;

z = (51 - 47)/4

z = 1

From empirical formula at 1 standard deviation above the means, the probability is 68%.

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Answer:

90 feet

Step-by-step explanation:

To find the perimeter of the classroom, we need to calculate the distance between each pair of adjacent corners and add them up.

Using the distance formula, the distance between the first two corners is:

√[(-12 - (-12))^2 + (15 - (-9))^2] = √(0^2 + 24^2) = 24 feet

The distance between the second and third corners is:

√[(-12 - 9)^2 + (-9 - 15)^2] = √(21^2 + 24^2) ≈ 31.8 feet

The distance between the third and fourth corners is:

√[(9 - 9)^2 + (15 - (-9))^2] = √(0^2 + 24^2) = 24 feet

Finally, the distance between the fourth and first corners is:

√[(9 - (-12))^2 + (-9 - 15)^2] = √(21^2 + 24^2) ≈ 31.8 feet

Therefore, the perimeter of the classroom is:

24 + 31.8 + 24 + 31.8 = 111.6 feet ≈ 112 feet (rounded to the nearest foot)

So the closest option to this answer is 90 feet.

Answer:

A.) 32.5 Square Feet

Step-by-step explanation:

10ft + 6.5 = 16.5

16.5 + 13 = 19.5

19.5 + 13 = 32.5

10ft + 6.5 + 3 + 13 = 32.5

Answer: Te answer is A   32.5

Step-by-step explanation:

Answer: No. Don't look up here. Seriously. There is nothing here. LOOK AWAY! I WARNED YOU!!!!

Step-by-step explanation:

Cups of peanut butter: 1.5

Cups of vegetable oil: 0.5

Cups of light brown sugar: 2.5

Tablespoons of milk: 6

Teaspoons of vanilla extract: 5.5

Large eggs: 2

Cups of flour: 3

Teaspoons of baking soda: 1.5

Teaspoons of salt: 0.5

Just times 2 to all of them.

3/5 are black. To rewrite the fraction with a denominator of 100. Find how many thieves the denominator 5 goes into 100:

100/5 = 20

Multiply both the numerator and denominator by 20:

3/5 = 60/100

The volume of the cube is   \(2,744\) cubic millimetres calculated by using the formula of volume.

The volume of any solid figure with a uniform cross section parallel to the base can be found using the volume formula, \(V = s^3.\)

The formula for the volume of a cube is:

\(V = s^3\)

Wherein s is the cube's side length.

In this case, we are given that the length of one side of the cube is  \(14\)mm.

Plugging this into the formula, we get:

\(V = 14^3\)

\(V = 2,744\)

Therefore, the volume of the cube is  \(2,744\) cubic millimetres.

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Given:

a) The radius is​ doubled.

b) The radius is​ tripled.

To find:

The changes to the surface area of a sphere

Explanation:

Let us take the original radius as r.

The surface area of the original sphere is,

a) The new radius will be,

So, the surface area of the sphere with the new radius is,

Therefore, the surface area of a sphere becomes four times the original surface area if the radius is​ doubled.

b) The new radius will be,

So, the surface area of the sphere with the new radius is,

Therefore, the surface area of a sphere becomes nine times the original surface area if the radius is​ tripled.