A triangle has an area of 29.7cm^2 and a base of 13.5cm. Use the formula A=1/2 bh to find the height.

Answer:

x > -5, so the correct answer is C.

Answer:

24 ounces/ 2 packets = 12 ounces/ packet

Step-by-step explanation:

23 (12 ounces/packet) = 276 ounces of water

The the rate of ounces of water needed for each packet of flavoring would be 12.

Given is the packets of flavoring added to an specific amount of water to make soup.

Now, for 24 ounces of water, 2 packets of flavoring are needed.

Then, for 1 packet of flavoring, (24/2) or 12 ounces of water is needed.

For 5 packets of flavoring, (12 x 5) or 60 ounces of water is needed.

So, the rate of ounces of water needed for each packet of flavoring would be -

r = (60 - 24)/(5 - 2)

r = 36/3

r = 12

r = 12

Therefore, the the rate of ounces of water needed for each packet of flavoring would be 12.

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The width of the plantation is 110. 7 kilometers

It is important to note that the formula for calculating the area of a rectangle is expressed as;

Area, A = lw

Where;

Given that;

The value of the area of the large plantation is eleven and seven hundredths kilometers.

This is expressed as;

Area = 11. 07 kilometers

The value of the length is one tenth kilometers.

This is expressed as;

Length = 1/10 kilometers = 0. 1 kilometers

Now, substitute the values into the formula to determine the width

11. 07 = 0. 1w

Divide both sides by the coefficient of w, w have;

11.07/0.1 = 0.1w/0.1

Find the quotient

w = 110. 7 kilometers

Hence, the value is 110. 7 kilometers

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The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

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Answer:

b. 314 yards squared

Step-by-step explanation:

Area of a circle = πr²

radius (r) of the circle = ½(20yd) = 10 yd

π = 3.14

Plug in the values into the formula

\( Area = 3.14 \times 10^2 \)

\( Area = 3.14 \times 100 \)

\( Area = 314 yd^2 \)

Answer: 15 / fifteen

Step-by-step explanation:

2*5 = 10 - 2 = 8 + 7 = 15

The value of the given expression is -1.

PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

The given numerical expression is 2-2×5+7.

Here, first multiply 2 and 5, that is

2-10+7

Next add 2 and 7, that is

9-10

Finally subtract 9 and 10, that is

9-10= -1

Therefore, the value of the given expression is -1.

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Answer:

\(y = 0.04\)

Step-by-step explanation:

\(y\) ∝ \(\frac{k}{x}\) (k is a constant we need)

\(12 = \frac{k}{20}\)

\(k = 0.6\)

\(y = \frac{0.6}{15}\)

\(y=0.04\)

Answer:

C

Step-by-step explanation:

I took the test and got it right

Answer:

C: 75 degrees

Step-by-step explanation:

180-155=25 which makes the angle to the other side of angle x

80+25=105

180(full angle measurement of triangle)-105=75

Btw I also had this on my quiz and got it right

Complementary angles have sum 90°

\(\\ \sf\longmapsto 2x+10=90\)

\(\\ \sf\longmapsto 2x=90-10\)

\(\\ \sf\longmapsto 2x=80\)

\(\\ \sf\longmapsto x=40\)

The value of AC according to given equation of Parallelogram is 188 units.

What is parallelogram?

In elementary geometry, a parallelogram may be a  quadrilateral with 2 pairs of parallel sides. the alternative or facing sides of a quadrangle square {measure} of equal length

Main body:

according to question:

AE = 9X-5

AC = 14X+34

as E is midpoint of AC so , we can say

2AE = AC

2(9x-5)= 14x+34

18x-10= 14x+34

4x = 44

x = 11

Now we need to find AC = 14x+34

                                         = 14*11+34

                                         = 188 units

Hence the value of AC according to given equation of Parallelogram is 188 units.

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Answer:

$135.30

Why:

Take the 112.75 and multiply it by 1.2, or in other words 120%. You get 135.3, or in a money situation, $135.30. Good luck.

In the given triangles m∠1 = 51°, m∠2 = 18°, m∠3 = 123° and ∠4 = 39°

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of all the interior angles of a triangle is 180°.

∴ ∠1 + 72° + 57° = 180°.

∠1 + 129° = 180°.

∠1 = 180° - 129°.

∠1 = 51°.

Now, ∠2 + 72° = 90°.

∠2 = 90° - 72°.

∠2 = 18°.

Now, ∠1 + 90° + ∠4 = 180°.

51° + 90° + ∠4 = 180°.

∠4 = 39°.

Also, ∠2 + ∠3 + ∠4 = 180°.

18° + ∠3 + 39° = 180°.

∠3 = 180° - 57°.

∠3 = 123°.

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(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

Let A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.

Let X be the number of students reading all three.

From the information given:

A ∩ S = 19

A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)

S - A - X = 27

S + F - X = 53

F - X = 19

A - X = 86 - 19 = 67

Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120

Solving, we get X = 6, A = 73, S = 52, F = 25.

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

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The AA criterion for the similarity between two triangles means that if two pairs of corresponding angles in two triangles are congruent, then the triangles are similar.

The steps to prove the AA criterion for similarity using GeoGebra is as follows:

Open GeoGebra and select the "Geometry" option to create a new geometry file.

From the toolbar on the left, select the "Triangle" tool and create two triangles by clicking on three points on the screen.

Use the "Measure" tool to measure the angles in both triangles. To do this, select the "Measure" tool from the toolbar, click on one of the angles in the first triangle, and then click on the corresponding angle in the second triangle.

Record the measurements of the two corresponding angles and calculate their values.

Use the "Move" tool to adjust the position of one of the triangles. Make sure that the two corresponding angles are still the same size.

Observe the triangles to see if they still appear to be similar, even after the movement.

Repeat the process several times, each time moving one of the triangles and observing if they are still similar.

Draw a conclusion based on your observations. Can you prove that the two triangles are similar based on the AA criterion?

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The value of the tax for the meal is $1.05.

The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.

Depending on the regulations in that country, a business may be responsible for sales taxes in that jurisdiction if it has a presence there, which can be a physical site, an employee, or an associate.

Given the  cost of the meal = $15.00

and rate of tax = 7%

converting the rate of tax into decimal form,

rate of tax = 7% = 7/100

rate of tax = 0.07

amount of tax = cost x rate of tax

amount of tax = 15 x 0.07

amount of tax = $1.05

Hence the amount of tax is $1.05.

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Answer:

Step-by-step explanation:

To find the area of the shaded region, we need to first find the x-coordinates of the points where the two functions intersect. We can set f(x) = g(x) and solve for x:

x^4 - 12x^3 + 48x^2 = 44x + 105

x^4 - 12x^3 + 48x^2 - 44x - 105 = 0

We can use a numerical method, such as the Newton-Raphson method, to approximate the roots of this equation. Using a graphing calculator or computer algebra system, we can find that the roots are approximately:

x = -1.932, x = 0.695, x = 4.149

Note that the root x = -1.932 is outside the given interval [3, 4], so we can ignore it.

The shaded region is bounded by the x-axis, the line y = 340, and the graphs of f(x) and g(x) between x = 3 and x = 4. To find the area of this region, we can integrate the difference between the two functions over this interval:

A = ∫3^4 [g(x) - f(x)] dx

A = ∫3^4 [44x + 105 - (x^4 - 12x^3 + 48x^2)] dx

A = ∫3^4 [-x^4 + 12x^3 - 48x^2 + 44x + 105] dx

We can integrate term by term using the power rule:

A = [-x^5/5 + 3x^4 - 16x^3 + 22x^2 + 105x]3^4

A = [-1024/5 + 192 - 192 + 22 + 105] - [-81/5 + 108 - 192 + 66 + 105]

A = 347.2

Therefore, the area of the shaded region is approximately 347.2 square units.

The exponential function that models the population of tiger gar in the lake is given as follows:

\(y = 322.63(1.25)^x\)

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

Considering x as the number of years since 2016, the points are given as follows:

(0, 322), (1, 399), (2, 507), (3, 618), (4, 785), (5, 957).

Inserting these points into an exponential regression calculator, the equation is given as follows:

\(y = 322.63(1.25)^x\)

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Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

To determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.

If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.

Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.

However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.

Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

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The likelihood that a random cumulative variable will fall within a specific range of values rather than taking on a single value is specified by the Probability Density Function.

The probability density function (PDF), also known as the density of a continuous random variable, is a function whose value at any specific sample (or point) in the data point (the range of potential values for the random variable) can be understood as having given a relative likelihood that the value of something similar to the random variable would be closer to that sample.

There is no absolute probability that a random variable will take on any specific value because there are an unlimited number of alternative values to begin with. However, the PDF value at two samples can be used to estimate how much more likely it is for the random variable to have that particular value in any given draw.

The Cantor distribution, which although having no discrete component, does not assign positive probabilities to any specific locations, and discrete random variable probability distributions do not all have a density function.

A distribution has a density function if and only if the cumulative distribution function F(x) is fully continuous. In this case, F is typically always differentiable, and its derivative can be used to symbolize the probability density.

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Answer:

2/3

Step-by-step explanation:

The expression factoring out the greatest common factor is  (3pf - 21p²)(f + 2).

We have the expression as

3pf² - 21p²f + 6pf - 42p²

Now, factorising the expression as

= 3pf² + 6pf - 21p²f - 42p²

= 3pf(f +2) - 21p²(f + 2)

= (3pf - 21p²)(f +2)

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Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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Answer:

False

Step-by-step explanation:

Onto function:-

Let two non empty  set A and B .The function is defined  from set A to set B.

If the function is onto then every element of y in codomain  B has at-least one pre-image in the domain A .

Or

For every element in y codomain , there is at least one element  x in the domain A such that

f(x)=y

If the function is onto then

Range=Codomain

If the function is onto then every element in the co-domain musta have a pre-image not unique.

Therefore, the given statement is false.

Answer:ldk

Applying exponential property,  

Comparing the base,

Step-by-step explanation:

Adding up all the data points during a specific period and dividing the sum by the number of time periods.

To compute a simple moving average, divide the number of prices during a time period by the total number of periods. A moving average is a technical indicator used by investors and traders to assess the direction of a security’s trend. It is determined by adding up all of the data points for a certain time period and dividing the total by the number of time periods.

For example, if we have the closing price data for the previous 30 days and need to estimate the price for the following day, we may add the 30 days’ closing price value and divide it by 30 to obtain the prediction of the next day.

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Answer:

1/2

Step-by-step explanation:

-4 - -2 = -2 -5 - -1 = -4 = -2/4 = 2/4 because both are negative and simplified it is 1/2

Answer:

0.45%

Step-by-step explanation:

divide 18 by 40

Answer:

45%

Step-by-step explanation:

18 divided by 40 equals .45 which becomes 45%

Answer:

74.7

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

The value of x from the given similar triangles is 7 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

The given triangles ABC and DEF are similar triangles.

Here, AB/DE =AC/DF =BC/EF

4/12 =8/3(x+1)

8/3(x+1) =1/3

24=3x+3

3x=24-3

3x=21

x=7

Therefore, the value of x is 7 units.

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Using the quadratic formula we can see that the correct option is the first one:

x = −5.54 and x = 0.54

Here we want to solve the quadratic equation:

2x² + 10x - 6 = 0

To solve it, we need to use the quadratic formula, the solutions for x will be:

\(x = \frac{-10 \pm \sqrt{10^2 - 4*2*-6} }{2*2} \\\\x = \frac{-10 \pm 12.2}{4}\)

then the two solutions of the quadratic equations are:

x = (-10 + 12.2)/4 = 0.55

x = (-10 - 12.2)/4 = -5.55

Then the correct option (by approximation) is the first one, where the difference in the last digit is due to rounding.

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