Every weekend me and my brother and my cousin go outside to play basketball and when i was the one who will shoot the ball to the ring i used the things i learned in math so I use SOH-CAH-TOA in measuring it. I want to measure the distance between me and the basketball ring. Supposed the height of the ring is 8ft from the ground and the distance between me and the basketball ring horizontally is 11.5 ft, and the angle of elevation from the ground is 50 degrees, now what is the distance of me and the ring?
Let x be the distance between me and the ring

need urgent answers with equation
by using SOH from SOHCAHTOA

The solution set of the compound inequality is  (-∞, 9] ∪ [17, ∞) and the correct graphical representation on the number line can be seen in the first option.

The solution set of a compound inequality is the set of values that intersect between the two inequalities and they satisfy the solution to each individual inequality.

The graph of a compound inequality can be illustrated on the number line.

From the given information, we have:

[tex]\mathbf{-\dfrac{1}{3}x+10 \geq 7}[/tex]---- (1)

x - 10 ≥ 7      ----- (2)

From equation (1), the solution to the inequality is:

The solution to the second inequality is:

The solution set of the compound inequality is  (-∞, 9] ∪ [17, ∞) and the correct graphical representation on the number line can be seen in the first option.

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Answer:

75%

Step-by-step explanation:

[tex]\frac{108 }{144} = 0.75[/tex]

0.75 * 100 = 75%

The possible functions for f and g are f(x) = [tex]3^{x}[/tex] and g(x) = [tex](\frac{1}{3} )^{x}[/tex]

An exponential function is a mathematical function of the following form: f ( x ) = [tex]p^{x}[/tex] where x is a variable, and p is a constant called the base of the function. The most commonly encountered exponential function base is the transcendental number e.

Analysis:

If for every value of x being positive and y is a positive whole number and for every x being negative y is a positive fraction, then that exponential function has a whole number base, Other wise it would have a fractional base. From the above explanation, f has (1,3) (positive x and whole number y) and (-1, 1/3) (negative x and positive fraction y). so therefore f has a whole number base and g has a fraction base.

Therefore f(x) = [tex]3^{x}[/tex] and g(x) = [tex](\frac{1}{3} )^{x}[/tex]

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Answer:

Yes, it is a function

Step-by-step explanation:

A function has only one output for each input. So a function can have the same output for different input, but one input can only have one output. In this case none of the inputs output more than one output, so it is a function.

Answer: [tex]-11\sqrt{7}[/tex]

Step-by-step explanation:

To find the expression equal to the given, we will simplify the original.

   Given:

[tex]\displaystyle 2\sqrt{28} -5\sqrt{63}[/tex]

   Simplify:

[tex]-11\sqrt{7}[/tex]

           Answer:  [tex]-11\sqrt{7}[/tex]

Answer:  [tex]-11\sqrt{7}[/tex]

Step-by-step explanation:

[tex]2\sqrt{28}-5\sqrt{63}[/tex]

= [tex]2\sqrt{4*7}-5\sqrt{7*9}[/tex]

= [tex]2*\sqrt{4}*\sqrt{7} - 5*\sqrt{7} *\sqrt{9}[/tex]

= [tex]2*2*\sqrt{7} - 5*\sqrt{7}*3[/tex]

= [tex]4\sqrt{7} - 15\sqrt{7}[/tex]

= [tex]-11\sqrt{7}[/tex]

Answer:

98/22 or 4.4545

Step-by-step explanation:

Perimeter of a rectangle: 2*width+2*length

4x*2+7x*2 = 98

8x+14x = 98

22x = 98

x = 98/22 or 4.4545

36 litres 180 millilitres

Hope this helps!

The expression with the same values of (1/x – y) in x and y will be 10 / 7.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The expression x-y equals 0.7.

x - y = 0.7    …1

If x and y have certain values.

Then the expression with the same values of (1/x – y) in x and y will be

Take the reciprocal of equation 1, then we have

1 / (x – y) = 1 / 0.7

1 / (x – y) = 10 / 7.

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Answer:

Thus, a golden retriever should be given 19 teaspoon of medicine.

Step-by-step explanation:

Step 1 of 3

Write the data in mathematical form and simplify.

Let x=the number of teaspoon

If 1  teaspoon medicine is 5  pounds then 85  pounds is how many teaspoon of medicine.

Translate the statement into proportion.

[tex]\begin{aligned}\frac{\text { pounds }}{\text { teaspoon }} &=\frac{\text { pounds }}{\text { teaspoon }} \\\frac{5}{1} &=\frac{85}{x}\end{aligned}[/tex]

Step 2 of 3

Multiply both sides by x and simplify

[tex]$x(5)=\frac{85}{\bcancel{x}}(\bcancel{x})[/tex]

5x=85

Divide by 5,

[tex]x=\frac{85}{5}[/tex]

Simplify, x=19

Step 3 of 3

Check the answer.

Substitute x=19  in original proportion and simplify.

[tex]$$\begin{aligned}\frac{5}{1} &=\frac{85}{x} \\5 &=\frac{85}{19}\end{aligned}$\\ \\ Hence, $5=5$, True[/tex]

2) [tex]ABCD[/tex] is a rhombus (a parallelogram with perpendicular diagonals is a rhombus)

3) [tex]\overline{AC}[/tex] bisects [tex]\angle BCD[/tex] (diagonals of a rhombus bisect the angles from which they are drawn)

Answer:

[tex]\frac{247}{200}[/tex]

Step-by-step explanation:

1.235

= 1 + 0.235 ( the place value of the 5 is thousandths ) , then

= [tex]\frac{1000}{1000}[/tex] + [tex]\frac{235}{1000}[/tex]

= [tex]\frac{1235}{1000}[/tex] ( divide numerator/denominator by 5 )

= [tex]\frac{247}{200}[/tex] ← in simplest form

Answer:

Step-by-step explanation

5+5

Answer:

12

Step-by-step explanation:

we can setup an equation and solve for x: 500-25x = 200, where x stands for the number of weeks she withdraws money.

subtract 500 from both sides to get -25x = -300.

multiply each side by -1 to get 25x = 300

divide each side by 25 to get that x = 12

Answer: x=-8

Step-by-step explanation:

Answer:

60 degrees.

Step-by-step explanation:

A reflection does not alter the size of the angles of the triangle so B = 60 degrees.

Answer:

A 3.5

Step-by-step explanation:

To Break it down there 1 3/4 so to put in halve it would be 1/2 1/2 1/2 1/4 so u have 3 feet because 1/2 in is 3 feet then u have a 1/4 inch so that is half of a feet 1 + 1 + 1 + 1/2 is 3 1/2 converted to decimal is 3.5.

Answer:

No solutions

Step-by-step explanation:

First  ADD  4 /(X+4)   to both sides of the equation to get

( x+4)/ (x+ 4)  = 3

1 = 3 ????    There are no solutions

[tex]\dfrac{x}{x+4}=3-\dfrac{4}{x+4}\qquad(x\not=-4)\\\\x=3(x+4)-4\\x=3x+12-4\\2x=-8\\x=-4[/tex]

Which contradicts initial assumption, therefore [tex]x\in\emptyset[/tex].

7x+2

Step-by-step explanation:

add all the sides of the pentagon and make it equal to the perimeter of the square which is 4y

sides of the pentagon are

5x+3

2x+3

7x+4

9x-10

5x+8

28x+8=4y

7x+2 = y

7x+2 = answer

gathmath

gathmathier6961

another way :

in a standardized test you may want to use real numbers

make x equal a prime number like 3

so then the sides are

18

9

25

17

23

=

92

then divide by 4

23

then divide by 3

which is 7 remainder of 2

which is

7x+2

8m and 12a

Like terms are terms that can be combined to condense a mathematical expression or equation.

Unlike Terms

Unlike terms are defined as terms that have different variables or powers.

If terms meet either of these requirements, they are unlike. On the other hand, for terms to be like they must have both the same variable and power. The coefficients for the terms are not important.

Final Answer

All of the answer choices are to the first power, so the exponents are not important for this question. However, the last 3 answer choices all share the same variable. This means that they are all like terms.

The first answer choice, 8m and 12a, have different variables. This means that they cannot be combined and are unlike terms.

The function that models the above behavior is given as:

f(x) = ACos(B(x + C)) + 6 ..... .......i

where x = 1 (that is January)

D (Average Snowfall) = 6.

Hence, the amplitude (A) is given as:
A = 6-1

= 5

A mathematical function is a function comprising of different variables that    represent different factors or events and the relationships between them.

Recall that in a year we have 12 months. Hence, P = 12

→ P = (2π) /.B → (2π)/B = 12 → B = π/6

Taking the values of A and B and plugging them in, we ahve:

F(x) = 5 cos (π/6(x + C)) + 6................ii

This means that in July, we'll have

x = 7 and f(x) = 1

Therefore,

1 = 5cos ((π/6) (7 + C) + 6 → 5 Cos  ((π/6) (7 + C) →  -5cos ((π/6) (7 + C)

= -1

→   ((π/6) (7 + C) = π

→ 7 + C = 6

→ C = -1

Taking equation ii, we have

F(x) = 5cos ((π6) (x -1)) + 6

F (x) > 10

Therefore

5cos ((π/6) (x-1) + 6 > 10

→  cos ((π/6) (x-1) + 6 > 4/5

→  (π/6) (x-1)  > Cos⁻¹ (4/5)

(π/6) (x-1)  < 0.6435 and

(π/6) (x-1)  > 5.6397

→ x < 2.23 and x > 11.77

The interpretation is that upwards of ten inches of snow fall in January, February, November, and December.

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The actual decile value is 126.6

To get the actual decile value, the decile formula is used. The formula used is:

Di = I (n+1) / 10 multiplied by (n - n+1)/10

This implies that the decreased fee, which in this case is 32 + 1, is delivered to the entire multiplication of the cut point 10.4, and the difference among the more tremendous value whilst organized in the ascending fee and the newly brought decreased value.

This gives:

33 + 10.4 * (42 - 33)

= 126.6

The actual decile value is 126.6

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There are 6! = 720 ways of arranging the lamps.

If the leftmost lamp is red, there are 3 choices of lamp in the leftmost position, and the remaining 5 can be placed in any order, so there are 3×5! = 360 ways of arranging the lamps and the leftmost is red.

Hence there is a 360/720 = 1/2 probability that the leftmost lamp is red.

Ignoring lamp color for the moment, the probability of arranging 3 lit lamps and 3 unlit lamps is the same, 1/2.

Since Ryan arranges the lamps randomly by color, then turns 3 of them on randomly, the two events are independent. So

P(leftmost red AND leftmost lit) = P(red) × P(lit) = 1/2² = 1/4

Answer:

D

Step-by-step explanation:

By observation we just know that one of the angles of two triangles is the same.

There are two sides that are not equal in ability to determine similarity.

Answer:

not determinable

Step-by-step explanation:

you can't determine--think of it like this: let's say I figure out a combination of two lengths that work, I could always scale it up (or down)

Let's say AB = 4, and BC = 9, then the area would be 36

but let's say AB = 8, and BC = 18, then the area would be 144

so, from this information alone, we cannot find the answer

hope this helps! have a lovely day :)

The area of the given parallelogram is that: It cannot be determined from the information given

The formula for the area of a parallelogram is:

Area = Base * Height

Now, we are told that the ratio of AB to BC is 4:9.

The most important point here is that we do not know the altitude of the parallelogram; the area of a parallelogram is altitude times base.

A secondary point would be that we do not know the lengths of AB and BC; we only know the ratio of the two sides.

The actual lengths of the sides could be, for example, 8 and 18

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Complete question is:

If the ratio of AB to BC is 4:9, what is the area of Parallelogram ABCD attached?​

Based on the terms given on the population type and the variables, the correct matches are:

The population is total set of items that a sample is drawn from and in this case it all the restaurants. The sample would be the selected items from the population.

The control group is the group that is not manipulated by the explanatory variable which is the organic cleaner. The response variable is what changes as a result of the explanatory variable so it is bacterial growth.

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Answer:

D is the right answer.

Hope it helps!

Answer:

65fghxtt

Step-by-step explanation: