n ΔHIJ, the measure of ∠J=90°, HJ = 21, JI = 20, and IH = 29. What ratio represents the cosine of ∠H?

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Given equation in the question is,

[tex]\frac{2}{\text{log}_x(xy)}+\frac{2}{\text{log}_x(xy)}+3=5x[/tex]'

Since, [tex]\text{log}_a}(xy)=\frac{\text{log(a)}}{\text{log}(xy)}[/tex]

[tex]\frac{2\text{log}x}{\text{log}(xy)}+\frac{2\text{log}y}{\text{log}(xy)}+3=5x[/tex]

[tex]\frac{2(\text{log}x)+2(\text{log}y)}{\text{log}(xy)}=5x-3[/tex]

[tex]\frac{2[\text{log}(x)+\text{log}(y)]}{\text{log}(xy)}=5x-3[/tex]

[tex]\frac{2\text{log}(xy)}{\text{log}(xy)}=5x-3[/tex]

[tex]2=5x-3[/tex]

[tex]2+3=5x[/tex]

[tex]5x=5[/tex]

[tex]x=1[/tex]

Answer:

X=2 and y=5

Step-by-step explanation:

5=-4+9 True

5=8-3   True

Reminder :

( x + a )^2 + ( y + b )^2 = ( R )^2

Center : O = ( - a , - b )

R = radius

_____________________________

( x + 8 )^2 + ( y - 4 )^2 = ( 9 )^2

Center : O = ( - 8 , 4 )

radius = 9

Diameter = 2 × radius = 18

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Explanation:

Assuming there are 324 seats available for the 324 students, this means that 324*5.60 = 1,814.40 dollars is earned in revenue from ticket sales.

Let x be the cost of equipment, lighting, and costumes combined.

The expression 1814.40 - x represents the profit made. It's the amount of money left after the bills are paid, so to speak. Or you could say profit = revenue - cost.

The committee wants $500 remaining, so they want 1814.40 - x to be equal to 500.

Let's solve for x

1814.40 - x = 500

-x = 500-1814.40

-x = -1314.40

x = 1314.40

So if $1,314.40 is spent on equipment, lighting, and costumes combined, then the committee will have $500 left over. If they spend less on those items, then the profit is more than $500. This means that $1,314.40 is the most they can spend.

Answer:

15 cm

Step-by-step explanation:

.....................

Answer:

all whole numbers greater than 24

Step-by-step explanation:

The range is 31

Step-by-step explanation:

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

Answer:

16 - (4 × 3) + 7

Step-by-step explanation:

Answer: The area of the figure is 24 units.

Step-by-step explanation:

After plotting, the given points on the graph, we can observe that it is a parallelogram(opposite sides are equal and parallel)

Height = 4-1 = 3 units

Base = 2-(-6) = 8 units

Area of parallelogram = Base x height

= 8 x 3 square units.

= 24  square units.

Hence, the area of the figure is 24 units.

While both arcs have the same degree measure (140 degrees), we don't have enough information about the radii. If the radius AO is the same length as radius OH, then the arcs are congruent. Otherwise, the arcs aren't congruent.

No, the arcs aren't congruent because the we don't know the size of both the circles, it is possible that one circle would be small and the other would have greater size than the first one, they only have same measure(140°) but not same size.

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P.S- Refer the attachment, you will yourself understand what I'm trying to explain.

Answer:

2 pi or 6.2831853...

Step-by-step explanation:

C=pi 3r

The circumferance of the circle given is 2π units.

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫F(x, y) dx dy

Given is a circle whose radius is equivalent to 1 units.

It is asked to find the circumferance of the circle given in the formula.

We know that the circumferance of the circle is given by the formula -

C = 2πr

Putting the values, we get -

C = 2 x π x 1

C = 2π units

So, it can be concluded that the circumferance of the circle given is 2π units.

Therefore, the circumferance of the circle given is 2π units.

To solve more questions on circle dimensions, visit the link-

https://brainly.com/question/29213222

#SPJ7

Answer:  

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Explanations:

Part (a)

In this case, the vertex is the highest point, so the vertex of function 1 is (-3, -1)

If the parabola was flipped so that it opened upward, instead of downward, then the vertex would be the lowest point.

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Part (b)

We could graph this function to see where the highest or lowest point is, but there's another way we could find the vertex using algebra.

The given equation is in the form y = ax^2 + bx + c where in this case

The a and b values are plugged into the formula below to get

h = -b/(2a)

h = -16/(2*(-2))

h = -16/(-4)

h = 4

This is the x coordinate the vertex since the vertex is (h,k)

To find k, we plug that value of h into the original function to find its corresponding y value.

y = -2x^2 + 16x - 27

y = -2(4)^2 + 16(4) - 27

y = -2(16) + 16(4) - 27

y = -32 + 64 - 27

y = 5

We found that h = 4 leads to k = 5. The vertex is (h,k) = (4, 5)

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Part (c)

We'll compare the y values of each vertex

The vertex with the larger y value is the winner, so that would be function 2. This parabola reaches a higher peak compared to the other curve.

The max value here is y = 5. In other words, it's the maximum output the function can produce.

If you graphed functions 1 and 2 together on the same xy grid (see below), you'll see that the curve for function 2 reaches a higher peak.

Answer:

Step-by-step explanation:

This is the correct answer

Answer:

50 red apples

Step-by-step explanation:

Ratio: 2:5

Tomatoes: 20

20/2 = 10

5 x 10 = 50

There are 50 apples.

Answer:

All polygons have straight lines

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You can see that the only difference between the three questions is the charge of the electrons. Electrons are negatively charged and so the answer is just B

Answer:

Pretty sure its A so sorry if its wrong

Step-by-step explanation:

Wish you the best of luck and hope this helps!

Answer:

c

Step-by-step explanation:

Answer:

C

1 or more includes from the 1st quartile to the rest of the graph, so it is 75%

Answer:

C/4

Step-by-step explanation:

The amount divided by the amount of people will show how much each person owes

Answer:

150cm^2

Step-by-step explanation:

Answer:

Opcion C

Step-by-step explanation:

I think Maybe it could be

Answer:

21.74 inches of fabrics

Step-by-step explanation:

Headbands = 542.43 inches of fabric

37 players + 4 coaches = 41 people

Each person uses = 542.43 inches of fabric / 41 people

= 13.23 inches of fabrics for headband per person

wristbands = 314.87 inches of fabric

Players = 37

Each person uses = 314.87 inches of fabric / 37 players

= 8.51 inches of fabrics for wristband per person

How much fabric was used on a headband and wristband for each player?

Fabrics used on a headband and wristband for each player = 13.23 inches of fabrics for headband per person + 8.51 inches of fabrics for wristband per person

= 13.23 inches+ 8.51 inches

= 21.74 inches

Fabrics used on a headband and wristband for each player = 21.74 inches of fabrics

Answer:

[tex]\frac{4}{1}[/tex]

Step-by-step explanation:

You can think of the ratio 12 to 3 as another fraction such as [tex]\frac{12}{3}[/tex].

If you want the denominator (bottom number) to be 1, you can divide 12 by 3 which equals 4.

Your new fraction would be [tex]\frac{4}{1}[/tex].

Answer:

The interval [25, 35] has the slowest average rate of decay.

Step-by-step explanation:

The number of grams in a sample of radium is represented by the function [tex]r(t) = 50\cdot e^{-0.013\cdot t}[/tex], which is a monotonous decreasing function. Hence, the greater the values of [tex]t[/tex], the slowest the average rate of decay, represented by a secant line. The interval [25, 35] has the slowest average rate of decay.

Answer:

It is 24^21 without hesitation

Answer:

Quick 24^21 Go

Step-by-step explanation:

Answer:

b=4√10

Step-by-step explanation:

AB²=AC²+BC²

14²=b²+6²

b²=14²-6²=160

b=√160=4√10

delete my answer

Step-by-step explanation:

Answer:

x^3-4

Step-by-step explanation:

y = (x+4) ^ 1/3

Exchange x and y

x = (y+4)^1/3

Solve for y

Raise each side to the 3rd power

x^3 =  (y+4)^1/3 ^3

x^3 = y+4

Subtract 4 from each side

x^3 -4 = y+4-4

x^3 -4 = y

The inverse is

x^3-4

Answer:

94.08m

Step-by-step explanation:

Just multiplly each sides dimensions for all 6 sides.