A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground. How high up the pole is the wire

attached? Write your answer in simplest form

Using proportions, it is found that the correct option is given by:

B Ron should replace the pitcher with a relief pitcher.

A proportion is a fraction of a total amount.

In this problem, when Ron replaced the pitcher, the team won 8 out of 14 games, hence the proportion of wins is:

pR = 8/14 = 0.5714.

When Ron kept the pitcher, the team won 4 out of 10 games, hence the proportion of wins is:

pK = 4/10 = 0.4.

Since pR > pK, option B is correct.

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Answer:

The answer is X =2

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

1/4+5/2=1/4+10/4=11/4=2 3/4-2=3/4

Answer:

[A] -3(2x-2.5)

Step-by-step explanation:

Given:

Which expression is equivalent to -6x + 7.5?

Solution:
Going through all answer choices:

[A] -3(2x-2.5)

Simplify

-6x + 7.5

[B] -3(2x + 2.5)

Simplify

-6x - 7.5

[C] -3(2x-7.5)

Simplify

-6x+22.5

[D]  -3(2x + 7.5)

Simplify

-6x - 22.5

Hence, the answer is [A] -3(2x-2.5)

Kavinsky

- 6x + 7.5

If you we split this equation then we'll get -3(2x-2.5).

Because,

Answer:

The corresponding angles are congruent. The corresponding sides all have the same ratio.

Step-by-step explanation:

Congruent means the angles are equal to each other. There are three pairs of angles. "Matching angles" (not a mathematical term) will be the same/equal/congruent.

The sides would only be same/equal/congruent if the triangles were congruent. For similar triangles, you can find a ratio of sides like big/little or little/big and if you set up the ratios of the matching sides, the ratio will be the same for all three pairs of sides. See image for example.

Answer:

70 degrees

Step-by-step explanation:

120 + angle V = 180     V = 60

60 + 50 + ? = 180

? = 70

Answer:

C ∪ D = (-∞, 2] ∪ (7, ∞)

C ∩ D = Ø  (empty)

Step-by-step explanation:

C ∪ D:  The union of two sets or intervals is the set of elements which are in either set.  

C ∩ D:  The intersection of two sets or intervals is the set of elements which are in both sets.

Interval notation symbols

Square brackets [ ]: both endpoints are included in the set.

Round brackets ( ): both endpoints are excluded in the set.

Round, square ( ]: left endpoint is excluded and right endpoint is included in the set.

Square, round [ ): left endpoint is included and right endpoint is excluded in the set.

Given:

Therefore,

Therefore,  C ∪ D = (-∞, 2] ∪ (7, ∞)

As x is either equal to or less than 2, or greater than x, there are no elements which are in both sets.

Therefore,  C ∩ D = Ø  (empty)

A quadrilateral is a polygon with 4 number of sides and 4 vertices. The shape of the field is either square or a rhombus.

A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.

Given that ABCD represents a field, therefore, the field is a quadrilateral. Now, as the path is going between the field. And starts from A therefore, it will end at C.

Since It is the same distance from BA and BC. Therefore, it will be the diagonal of the quadrilateral. And as BA and BC are consecutive sides and are of the same length.

Hence, the shape of the field is either square or a rhombus.

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Answer:

40<x<168

Step-by-step explanation:

Answer:

Apply tan x=9/16 and tan y=16/9 to get the two angles x and y, and you'll receive the solution.

Answer:

30

Step-by-step explanation:

You just have to do 150 divided by 5 because you are trying to find out how many pages per day that student read.

The student read 30 pages in one day.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total Pages in a book = 150 pages

Number of days book completed= 5 days

so, each day the student read

= 150/ 5

= 30 pages

Hence, the average rate is 30 pages in one day.

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Answer:

working on the two will edit this ans afterwords

Answer:

Below in bold.

Step-by-step explanation:

The defender is at (x) = 35 yards

So height  y = (-1/40)35^2 + 35 + 6 = 10.375 ft

So as he only jumps to 9 feet he will not prevent the catch

When we have two points that a line passes through and asked to determine the slope of the line, the slope formula is going to come in handy.

This is the formula :

[tex]\boxed{\\\begin{minipage}{3cm}slope~formula~: \\ $\displaystyle\frac{y2-y1}{x2-x1}$ \\ \end{minipage}}[/tex]

y2 and y1 are y-coordinates, and x2 and x1 are x coordinates

Plug in the values :

[tex]\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0-(-7)}{7-0} $\end{minipage}}[/tex]

[tex]\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0+7}{7} \end{minipage}}[/tex]

Which simplifies to [tex]^7/_7[/tex], or 1

1 (Option D.)

hope helpful ~

The time for the job for which the two company are the same is 16

A yard cleanup service charges a $345 fee plus $16.25 per hour. Therefore,

using linear equation,

y = mx + c

where

Therefore,

y = 345 + 16.25x

Another cleanup service charges a $213 fee plus $24.50 per hour. Therefore,

y = 213 + 24.50x

Hence, the time when both cost are the same is as follows;

213 + 24.50x =  345 + 16.25x

213 - 345 = 16.25x - 24.50x

-132 = -8.25x

x = 132 / 8.25

x = 16

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Answer:

9 and 7

Step-by-step explanation:

[tex]9+7=16[/tex]

[tex]9*7=63[/tex]

Answer:

  (c)  115.2 ft³

Step-by-step explanation:

The volume of a composite figure can be found by decomposing it into figures whose volumes are easy to compute. Here, the figure can be nicely represented as a cube and a square pyramid.

__

The volume of the cube on the left is given by ...

  V = s³

  V = (4.2 ft)³ = 74.088 ft³

__

The volume of the pyramid on the right is given by ...

  V = 1/3Bh . . . . . where B is the area of the square base

  V = 1/3(s²)h = (4.2 ft)²(7 ft) = 41.16 ft³

__

The volume of the composite figure is the sum of these volumes:

  cube volume + pyramid volume = 74.088 ft³ +41.16 ft³ = 115.248 ft³

The volume of the composite figure is about 115.2 ft³.

Step-by-step explanation:

[tex](6 + 5 + 5) \times 7 = 112[/tex]

Using a proportional relationship, it is found that the two equations that have the same constant of proportionality are givn by:

с 1 and 3

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the functions and constants are given as follows:

Equations 1 and 3 have the same constants, hence option c is correct.

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Answer:

you can do 97 - 2 which is 95, that's the range

Based on the shipping rate and the price of the t-shirts, it can be concluded Sam ordered a total of 6 t-shirts.

5.99 + x12.50 = 80.99

x represents the number of t-shirts she bough, which is the focus of the equation.

Let's solve it:

Sam ordered 6 t-shirts.

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Answer:

The domain of a function is the possible input values, the function can take.

The possible domain is:

The domain of the function is the set of possible values of d.

Because d represents the depth of water,

The starting value can take any value, less than 0

But the end value must be 0 (i.e. the surface of water)

This means that, the domain of the function will be from negative infinity to 0

Hence, the domain is (-infinity, 0}

Step-by-step explanation:

Answer: 60

Step-by-step explanation: 30+ 50 + 60 + 70 + 90 = 300

Divide by 5

Applying an exponential property, it is found that the function that will generate the same note sequence as function f(n) is given by:

B. [tex]H(n) = 6(2)^{4n}[/tex]

The function for the node sequence is defined by:

[tex]f(n) = 6(16)^n[/tex]

A function that will the same note sequence as function f(n) has the same initial value of 6. Additionally, applying an exponential property, we have that:

[tex]H(n) = 6(2)^{4n} = 6(2^4)^n = 6(16)^n[/tex]

Hence option B is correct.

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Answer:

c. 84.78 mm

Step-by-step explanation:

Circumference of a circle

Given

Solving

Answer:

Step-by-step explanation:

Midpoints of two coordinates is expressed using the formula;

M(X, Y) = (x2+x1/2, y2+y1/2)

Given the coordinates  c(5,3) and d(-3,-6)

x1 = 5, y1 = 3, x2 = -3 and y2 = -6

X = x1+x2/2

X = 5+(-3)/3

X = 5-3/2

X = 2/2

X = 1

Also;

Y = y1+y2/2

Y = 3+(-6)/2

Y = 3-6/2

Y = -3/2

Y = -1.5

Answer:

All real numbers

Step-by-step explanation:

We can start out by knowing that the domain of a graph is, the side, to side from the x axis directions.

We can see that the line continues of the graph shown, meaning it is infinite. Meaning the answer is the domain is all real numbers.

We can double check by seeing that the other options don't work or aren't enough:

[tex]x\geq 2\\and\\x\leq 2\\and\\x\geq -4[/tex]

The first wouldn't work becuase, yes that is part of the answer, but not the whole answer. The same goes for the others as well, they are on the line and are correct, but the best, and full answer is "All real numbers"

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad \qquad \stackrel{slope}{m}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-3}(x-\stackrel{x_1}{1}) \\\\\\ y-8 = -3x+3\implies y=-3x+11[/tex]

Answer:

5

Step-by-step explanation:

After buying the Paper Tori is left with $15.

Since each notebook costs $3, 15 / 3 = 5 so she can buy 5 notebooks.

Answer:

5 notebooks. she bought one paper for 5$, meaning she is left with 15$ because 20-5=15. now that we have 15, we need to divide it by three, because notebooks are 3$ each, leaving us with 5 notebooks.

Step-by-step explanation: