Determine two expressions that represent the sum of ​2 divided by x and 15?

ASAP!

Answer:

BC ≈ 11.8 m

Step-by-step explanation:

using the tangent ratio in the right triangle

tanΘ = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{x}{BC}\) , that is

tan32° = \(\frac{7.4}{BC}\) ( multiply both sides by BC )

BC × tan32° = 7.4 ( divide both sides by tan32° )

BC = \(\frac{7.4}{tan32}\) ≈ 11.8 m ( to 3 sf )

To begin solving this problem, we need to determine the dimensions of the rectangular region that the farmer will fence in. Let's say the length of thr uses, is given by the equation:
e rectangle is L and the width is W. The perimeter of the rectangle, which will be the length of fencing the farme
2L + W = 350

Solving for W, we get:

W = 350 - 2L

Next, we need to divide the rectangular region into three smaller rectangles by placing two parallel fences. Let's say the two fences are placed along the length of the rectangle, dividing it into three sections with widths of x, y, and z. Therefore, we have:

L = x + y + z

Now, we can determine the area of the entire fenced-in region by summing the areas of the three smaller rectangles. The area of a rectangle is given by the equation:

Area = Length x Width

Therefore, the total area of the fenced-in region is:

Area = (xW) + (yW) + (zW)

Substituting W = 350 - 2L and L = x + y + z, we get:

Area = (x(350-2(x+y+z))) + (y(350-2(x+y+z))) + (z(350-2(x+y+z)))

Simplifying this equation, we get:

Area = 350(x+y+z) - 2(x^2 + y^2 + z^2)

To maximize the area, we need to take the derivative of this equation with respect to one of the variables (x, y, or z), set it equal to zero, and solve for the variable. This process is too complicated to do by hand, so we will use a calculator or computer program to find the maximum area.

After finding the maximum area, we can determine the dimensions of the region that give us this maximum area. We do this by using the equations we derived earlier:

W = 350 - 2L

L = x + y + z

With the maximum area and these equations, we can solve for the dimensions of the region that give us the maximum area.

In summary, the farmer should fence in a rectangular region with dimensions that maximize the total area of three smaller rectangles created by placing two parallel fences. The maximum area can be found by taking the derivative of the area equation and setting it equal to zero. The dimensions of the region that give us the maximum area can be found by using the equations we derived earlier.

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Answer:

the answer is 4.54%

Answer:

5555+2929

= 8484

its an irrational no.

thanks

Answer:

114 cookies

Step-by-step explanation:

120×0.95=114

The percentage of his tip compared to the cost of the iced coffee drink is 17.57%.

Percentage is defined as part of a whole expressed in hundredths or out of 100. It is usually written with the symbol "%".

To determine the percentage, we must first determine the proportion of the amount of the tip compared to the cost of the drink he purchased by dividing the two values. After that, multiply the answer by 100.

percentage = (amount of the tip/cost of the iced coffee drink) x 100

percentage = ($1/$5.69) x 100

percentage = 0.175747 x 100

percentage = 17.57%

Hence, he tip 17.57% of what he purchased.

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Answer:

.006702

Step-by-step explanation:

9,603.75 cm² is the area of the given triangle.

So, the perimeter of the triangle is 392 cm.

Then, let the rest 2 sides be x, where x = x.

Now, we know that the rest 2 equal sides are of length 98.5 cm.

Now, calculate the area as follows:

Therefore, 9,603.75 cm² is the area of the given triangle.

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In order to prove the triangles are similar, you have to use SAS, SSS and AA rule.

In triangle, the similarity theorem states that if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Here we have to find the 3 shortcuts to prove the triangles are similar.

According to the similarity theorem, here we have triangle that is similar to other if two pairs of angles are congruent (AA) or if two pairs of sides are proportional and the included angles are congruent whereas if three pairs of sides are proportional (SSS).

Here we must know that the term similarity and congruent are similar terms.

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Answer:

b=A/h

Step-by-step explanation:

In order to solve for b, we need to isolate b. We can do this by dividing both sides by h:

A = bh

A/h=b

b=A/h

Answer:

Te conozco y sé qué

Como Nuevo de fabrica el otro

Answer:

534

Step-by-step explanation:

multiply 13.45 by 40 and you will get 534

The height of the tree that casted a shadow of 25m tree is 100 meters.

To solve for the height of the tree, we can use proportions.

Let the height of the tree be x meters.

Then, we can set up the following proportion:

(height of tree) / (length of tree's shadow) = (height of pole) / (length of pole's shadow)

Plug in:

(height of tree) / (length of tree's shadow) = (height of pole) / (length of pole's shadow)

x / 25 = 4 / 1

Simplifying the proportion by cross multiplying

x = 25 × 4

x = 100m

Therefore, the height of the tree is 100 meters.

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Answer:

8 and yes

Step-by-step explanation:

c² - b² = a²

100 - 36 = a²

64 = a²

a = 8

the three sides form a sequence, 6, 8, 10, which is the pythagorean triple.

The amount invested into each of the two different pharmaceutical funds are-

Assume that x represents the investment in the 7% fund.

'y' represents the investment in the 3% fund.

Establish equations:

The total sum of money invested:

x + y = 24,500   ..eq 1

The total sum of interest earned the first year:

0.07x + 0.03y = 1,375   ...eq 2

Solve eq 1 and 2 by elimination method to get.

x = $16,000 and y = $8,500.

Thus, the amount invested into each of the two different pharmaceutical fund are-

7% fund - $16,000 invested.

3% fund - $8,500 invested.

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The missing angle measurements are given as follows:

α = 73.3º, θ = 16.7º.

The three trigonometric ratios are defined as follows:

For angle α, we have that 3 is the adjacent side length and 10 is the opposite side length, hence it's measure is given as follows:

tan(α) = 10/3

α = arctan(10/3)

α = 73.3º.

Angle θ is complementary to angle α, as we have a right triangle, hence:

θ = 90 - 73.3

θ = 16.7º.

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Answer:

Im not sure but i think its C

Step-by-step explanation:

If its wrong im so sorry TvT

Curtis started with 84 cards and now has 12 cards at home and 9 cards at school, for a total of 21 cards.

To find how many card ,We see Curtis has 9 cards at school after trading with Dino again, which means he had 12 cards before the trade.

Before his mom bought him another pack of 12 cards, he had 10 missing, so he must have had 24 cards in total (12 + 12).

He hid half of his cards at home, so he has 12 cards at home.

He traded ¼ of the cards he brought to school to Dino and got back 3 of Dino's cards. Let's call the number of cards he brought to school "x".

So, he traded x/4 cards to Dino, and got back 3 cards, which means he now has (x/4) - 3 cards.

We know that he now has 9 cards at school, so we can set up an equation:

(x/4) - 3 = 9

Solving for x, we get:

x/4 = 12

x = 48

So, Curtis brought 48 cards to school, which means he started with 24 + 12 + 48 = 84 cards in total.

Therefore, Curtis started with 84 cards and now has 12 cards at home and 9 cards at school, for a total of 21 cards.

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Answer: (-1, 2)

Step-by-step explanation:

I really hope its right I'm sorry if it's wrong

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Answer:

the answer is C 4.4 ft hope it helps

Step-by-step explanation:

Answer:

2/20 or 1/10

Step-by-step explanation: i hope this helps.

Answer:

x = 3.5

Step-by-step explanation:

Given

\(3^{2x-5}\) = 9 , that is

\(3^{2x-5}\) = 3²

Since the bases on both sides are equal, both 3 , then equate the exponents

2x - 5 = 2 ( add 5 to both sides )

2x = 7 ( divide both sides by 2 )

x = 3.5

Answer:

G=m/r-h^2

Step-by-step explanation:

move all the terms to the left side and set equal to zero. Then set each factor equal to zero. Hope this helps!

Answer:

32 cents.

Step-by-step explanation:

The unit price in this case is how much money it costs for one toaster pastry.

To find this, we would do 2.88 divided by 9, leaving us with 0.32, or

32 cents.

Answer:

if you divide 2.88 by 9 its 32 cents!

Hence, two possible solutions to the equation W = 250 + 132.5T are (W = 515, T = 2) and (W = 912.5, T = 5).

To find two possible solutions to the equation W = 250 + 132.5T, we can substitute different values for T and calculate the corresponding value of W.

Let's try two values for T:

Solution 1:

Let T = 2 (2 T-shirts in the box)

W = 250 + 132.5 * 2

W = 250 + 265

W = 515

So, one possible solution is W = 515 when T = 2.

Solution 2:

Let T = 5 (5 T-shirts in the box)

W = 250 + 132.5 * 5

W = 250 + 662.5

W = 912.5

Therefore, another possible solution is W = 912.5 when T = 5.

Hence, two possible solutions to the equation W = 250 + 132.5T are (W = 515, T = 2) and (W = 912.5, T = 5).

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The angle measure with a negative cotangent ratio is given as follows:

c) 320º.

The cotangent of an angle is obtained with the division of the cosine of the angle by the sine of the angle, that is:

cot(x) = cos(x)/sin(x).

The cotangent is negative when the sine and the cosine have different signs, hence on these following quadrants:

For this problem, we have that the angle of 320º is on the fourth quadrant, hence it has a negative cotangent and is the answer for this problem.

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Answer:

The rule for the linear function will be:

f(x) = -2x+1

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the function is linear  as shown in the attached graph

Taking two points

Finding the slope between (0, 1) and (1, -1)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [-1 - 1] / [1 - 0]

                = -2 / 1  

                = -2

Thus, the slope of the line = m = -2

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 1

Thus, the y-intercept b = 1

Now, substituting m = -2 and b = 1 in the slope-intercept form of linear function

y = mx+b

y = (-2)x + 1         ∵ m = -2, b = 1

y = -2x+1

f(x) = -2x+1

Therefore, the rule for the linear function will be:

f(x) = -2x+1