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A flag is casting a 20 ft. shadow. The flag pole measures 16 ft. Find the Angle of elevation of the sun.

A) 62 degrees
B) 53 degrees
C) 47 degrees
D) 39 degrees

Answer:

Step-by-step explanation:

The correct question is attached in the image below;

From there, given that: the earnings = 60x + 50 y ------ (1)

y = -x + 175

for x = 0 ⇒ y = 175 ; Then Point A (0, 175)

y = -2x + 300

for y = 0 ⇒ x = 150 ; Then Point C (150, 0)

For Point B;

y = -x + 175    ---- (a)

y = -2x + 300 ---- (b)

Equating both (a) and (b) from above together; then:

⇒ -x + 175 = -2x + 300

⇒ x = 125

∴

From y = -x + 175

y = -125 + 175

y = 50

So point B ( 125, 50)

Now, the points are O(0, 0), A(0, 175), B(125, 50), C(150, 0)

As such, profit at these points are:

O(0, 0), Profit = 60 × 0 + 50 × 0 = 0

A(0, 175), Profit = 60 × 0 + 50 × 175 = 8750

B(125, 5), Profit = 60 × 125 + 50 × 50 = 10,000

C(150, 0), Profit = 60 × 150 + 50 × 0 = 9000

Hence, maximum profit takes place at B(125, 50) which is = $10,000

Finally, we can conclude that the shop should prepare 125 packages of assortment A and 50 packages of assortment B to maximize profit.

The maximum profit is $10,000

Answer:

I think so, but maybe if the schools are different they change.

i believe your answers would be

1/2c+7 and 2H-9

Answer:

300+ 80+6

Step-by-step explanation:

i think i not sure

Answer:

let the thought no be x

then, ×-2.9=2.9

or,x=2.9+2.9

or,x=5.8

Mark be as brainlist plz

Answer:

m=1352

Step-by-step explanation:

(118.64-24)/0.07=m

Answer:

$2450 is the remaining amount

Step-by-step explanation:

i divided 3500 into 10th because its usually easier to do when you are working with percents, then so every 10 is $350. so he put down $1050 or the 30% because 350x3 is 1050 then you subtract 1050 from 3500 which then you get 2450.

Answer:

2450

Step-by-step explanation:

70% of 2450

Answer:

Step by step explanation:

well this is simble you just do it

Answer:

33degree

Step-by-step explanation:

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I am very fast in answering questions

Answer:

33 degrees

Step-by-step explanation:

So the sum of a triangle's interior angles is 180. By adding 114 and 33, we know that the other two angles are 147 degrees. Then subtract 147 from 180 to find the single missing angle. 180 - 147 = 33.

x = 33 degrees.

Answer:

The data that we have is:

Carrots = 84

Turnips = 25

Both = 17

Neither = 15

Root vegetables = 84 + 25 - 17 + 15 = 107

"a" is the percentage of carrots that also are turnips.

we know that 17 carrots are also turnips. so the relative frequency is:

17/107 = 0.158, in percent form this can be rounded to 16%.

b is the number of NOT carrots, that also are turnips.

This will be equal to the 25 turnips minus the 17 turnips that also are carrots

25 - 17 = 8

So we have 8 turnips that are not carrots.

Then we have:

b = 8/107 = 0.075

rounded to the nearest percent we get b = 8%.

So the values do not coincide with the options, and neither some of the data, for example the carrots that are not turnips are:

84 total carots, 17 of them are turnips, so we have 84 - 17 carrots that are not turnips:

84 - 17 = 67

then the relative frequency is:

P = 67/107 = 0.626, rounded to the nearest percent we get 63%

So there may be a number wrong in the diagram.

Answer:

B edg a=12% b=18%

Step-by-step explanation:

Answer:

20ft

Step-by-step explanation:

The ratio of the size of the dollhouse item to the doll house is 14 : 9.

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

First convert feet to inches

1 feet = 12 inches

12 x 6 = 72 inches

dollhouse item : doll house

112 : 72

14 : 9

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The solution to the equation -9 = 6m + 15 is m = -4.

Given the equation in the question;

-9 = 6m + 15

Rewrite the equation as 6m + 15 = -9

Move all terms not containing m to the right side of the equation by subtracting 15 from both sides

6m + 15 - 15 = -9 - 15

6m = -9 - 15

Add -9 and -15

6m = -24

Divide both sides by 6

6m/6 = -24/6

m = -24/6

m = -4

Solution check

Plug m = -4 into the equation and check

-9 = 6m + 15

-9 = 6( -4 ) + 15

-9 = -24 + 15

-9 = -9

Correct.

Therefore, the numerical value of m is -4.

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a) The inequality is

P + S + M > 60

b) The solution of the inequality is:

P > 19

Where P is Pedro's age.

c) The oldest brother has more than 21 years-

Let's define the variables:

p = Pedro's age.

S = Sebastian's ae

M = Manuel's age

We know that the sums of their ages is more than 60, then:

P + S + M > 60

This is the inequality.

b) We know that the brother are one year apart, then:

S = P + 1

M = P + 2

replacing that we get:

P + P + 1 + P + 2 > 60

3P + 3 > 60

3P > 60 - 3

3P > 57

P > 57/3 = 19

P > 19

So Pedro has more than 19

c) The oldest brother is 2 years older than Pedro, then:

M > 19 + 2

M > 21

Manuel is more than 21 years old.

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The correct answer is the addition property of equality

Here, we want to select the property demonstrated by the example

The correct answer is the addition property of equality

What this is saying is that if we have two numbers, in this case represented by the variables a= c

If we add an equal number to both sides, then the results on both sides still stay the same regardless since it is the same number that we added on both ends

Answer:

3

Step-by-step explanation:

The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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9514 1404 393

Answer:

  no

Step-by-step explanation:

If this is a proportion, the ratio of y to x is constant. Here, we have ...

  y1//x1 = 64/4 = 16

  y2/x2 = 125/5 = 25

These are not the same value, so the table does not represent a proportional relationship.

_____

Additional comment

The table seemingly represents a cubic relationship, so the value for x=11 would be y = 11³ = 1331

The percentile of a velocity of 12.1 Mbps is given as follows:

84th percentile.

A measure is said to be in the xth percentile of the data-set if it the bottom separator of the bottom x% of measures of the data-set and the top (100 - x)% of measures, that is, it is greater than x% of the measures of the data-set.

For this problem, we have that out of 50 observations, 12.1 is the 42nd, hence the percentile rank is given as follows:

42/50 = 0.84 = 84th percentile.

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Answer: 7 boxes of pizza

Step-by-step explanation:

8x3=24

Answer:

David needs 3 pizzas.

Step-by-step explanation:

This is grammatically incorrect, but based on the information provided, I would infer that each student eats *only* 1/8 of a pizza. You would need 3 pizzas, as 3 x 8 =24.

The alarm at 6:36 AM will sound in metric time, which is equivalent to 2:75, and the value of 100A + 10B + C is 275.

From metric to standard time

1 minute equals 60 seconds in standard time.

1 h = 60 min = 3600 s

1 day = 24 hours = 1440 minutes = 86 400 seconds

A time of 8:9:2 equals 0.892 day.

0.892 day = 0.892 × 86 400 s = 77 069 s

1. From seconds to hours

2. Minutes to seconds

So, 0.892 day = 21 hours + 24 minutes + 29 seconds

In international notation, the time is 21:24:29 (about 9:24 p.m.).

B. From normal time to metric

1 hour equals 0.1 day in metric time.

1 minute = 0.1 hour = 0.01 day

1 second = 0.1 minute = 0.01 hour = 0.001 day

Hours, minutes, and seconds are thus tenths, hundredths, and thousandths of a day.

1. Convert the time from minutes to seconds.

6:36:00 = (6 × 3600 +36 × 60 ) s =  23760 s

2. Calculate the fraction of a day

23760 ÷ 86400 = 0.275

Hence the metric time is 2:75 .

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Answer:

14.66 or 14.7

Step-by-step explanation:

if we solve the equation we get 14.6666 but since it goes on and on we round and put it on 14.7

Answer:

Step-by-step explanation:

11 ÷ 3/4 = \(11 * \frac{4}{3}\)

             \(=\frac{44}{3}\\\\=14\frac{2}{3}\)

Answer:

22364160

Step-by-step explanation:

Answer:

72cm

Step-by-step explanation:

6cm times 24cm divided by 2

The surface area of the prism is 744 cm², the volume of the prism is 624 cm³.

Given:

- Height of the regular quadrilateral prism (h) = 13 cm

- Lateral area of the prism (AL) = 624 cm²

1. Surface Area:

To find the surface area, we need to calculate the area of the two bases and the lateral area of the prism.

The area of each base can be found by dividing the lateral area by the height: A = AL / h = 624 cm² / 13 cm = 48 cm².

Since there are two identical bases, the total base area is 2 times the area of one base, so the total base area is 2 * 48 cm² = 96 cm².

To calculate the surface area, we add the area of the two bases to the lateral area: Surface Area = 2A + AL = 2 * 48 cm² + 624 cm² = 120 cm² + 624 cm² = 744 cm².

Therefore, the surface area of the prism is 744 cm².

2. Volume:

The volume of the prism can be found by multiplying the base area by the height: Volume = A * h = 48 cm² * 13 cm = 624 cm³.

Therefore, the volume of the prism is 624 cm³.

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The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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The equation of the line is x + 3y = 6

The line equation is represented as:

ax + by = c

Where:

x-intercept = 6 i.e. (6, 0)

y-intercept = 2 i.e. (0, 2)

Calculate the slope (m) as follows

m = (2 - 0)/(0 - 6)

This gives

m = -1/3

The linear equation is represented as:

y =mx + c

So, we have

y = -1/3x + c

y-intercept = 2 i.e. (0, 2) implies that

y = -1/3x + 2

Multiply through by 3

3y = -x + 6

Rewrite as:

x + 3y = 6

Hence, the equation of the line is x + 3y = 6

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Answer:

x = 0, y = 2

Step-by-step explanation:

We can use substitution method to substitute 2y into 2x + 2y = 4.

-x + 2y = 4

2y = 4 + x --- Equation 1

2x + 2y = 4 --- Equation 2

Substitute Equation 1 into Equation 2:

2x + 2y = 4

2x + 4 + x = 4

3x + 4 = 4

Isolate 3x.

3x = 4-4

    = 0

Find x.

x = 0 ÷ 3

x = 0

Substitute x = 0 into Equation 1:

2y = 4 + x

2y = 4 + 0

    = 4

Find y.

y = 4 ÷ 2

y = 2