Which equation is equivalent to the equation b sin(A)= a sin (B)

Answer:

KM = 15

Step-by-step explanation:

From the diagram, ΔJKL and ΔJKM are similar to each other because they share the same angle J and they are both right angle triangle. Therefore they are similar by AA property.

Since JL=25 and JM=5, JM = JL + JM= 25 + 5 = 30

Since ΔJKL and ΔJKM are similar to each other, therefore:

[tex]\frac{JK}{JL}=\frac{JM}{JK}\\ Substituting:\\\frac{JK}{30}=\frac{5}{JK}\\JK^2=150\\JK=\sqrt{150}\\ \\From\ hypotenuse:\\JK^2=JM^2+KM^2\\Substituting:\\(\sqrt{150} )^2=5^2+KM^2\\150=25+KM^2\\KM^2=150-25=125\\KM=\sqrt{125}\\ KM=15[/tex]

Answer:

see below

Step-by-step explanation:

red triangle= 36/2= 18

orange circle= 45- 18= 27

blue square= 53- 27= 26

Step-by-step explanation:

red= 18

yellow= 27

blue= 26

Answer: 60 meters

Explanation:

"It will probably help to have a diagram to look at:

Since we're told that the fenced area is to be a rectangle, draw a rectangle.

Since one side is to be the barn, choose a side of the rectangle to be a the barn. (It doesn't matter which side you choose.)

Label the two sides of the rectangle that are connected to the barn as "x". (Since this is a rectangle these opposite sides should be the same.)

The hardest part is the side opposite the barn. We know that we have 120 meters of fence to use. It hope it makes sense that to get the maximum area we should use all the fencing. So the lengths of the three "non-barn" sides will be 120. So how do we express the length of the side opposite the barn? Well if we know what "x" was it would be easy. For example if x = 35 then the side opposite the barn would be 120 - 35 - 35 = 50. We now use this same logic even though we don't know what "x" is yet. The side opposite the barn will be

120 - x - x

which simplifies to:

120 - 2x

We can now find a solution. The area of any rectangle is length times width (or base times height). So for our rectangle the area will be: A = x (120 - 2x)

This is a quadratic equation so I am going to rewrite it in ax^2+bx+c: A=-2x^2 + 120x

We should recognize that the graph of a quadratic equation will be a parabola. And since the squared term is x^2 this parabola will open upward or downward. And since the "a" is negative (-2 to be specific), this parabola will open downward. If we picture a downward-opening parabola in our minds we should be able to understand that the vertex of the parabola will be the highest point of the graph. So the x-coordinate of the vertex will give the the maximum value for A, the area.

So we just need to figure out the x-coordinate of the vertex. This can be done by completing the square or by just knowing that the x-coordinate of the vertex would be '-b/2 + a.'

Our "b" is 120 and our "a" is -2 so the x-coordinate of the will be: -(120/2*(-2)) = 30

This is the x that gives us the maximum area. (If you're curious as to exactly what number this maximum area is, just substitute 30 for x into A=-2x^2+120x)

So we can label the two sides of "x" as 30's. And since the side opposite the barn is 120 - 2x, it will be 120 - 2(30) = 120 - 60 = 60 meters."

-jsmallt9

Answer:

The correct answer is B. 880

Step-by-step explanation:

220%=2.2

2.2(400)=880

Answer:

B. 880

Step-by-step explanation:

220% × 400

= 220/100 × 400

= 88000/100

= 880

Answer:

14, 16

Step-by-step explanation:

The prime factorization of 224 is 2⁵ × 7. To make it a perfect square, we need the bases to have an even exponent, therefore we divide it by 2 × 7 = 14 to get 16.

Answer:

m∠1 = 90°

Step-by-step explanation:

Since the line is tangent to the circle, it creates a perpendicular bisector with the diameter. That means that the m∠1 has to be 90°

Step-by-step explanation:

i think the answer is 7 yes it has to be 7

Answer:

3x+6 is the answer

Step-by-step explanation:

Have a good day and stay safe!

Answer:

using identity (a+b)(a-b) = a^2 -b^2

Answer:

85 ft^2

Step-by-step explanation:

Let us calculate the area of the triangles and the base.

For the triangles, we can use the area formula and get 5 • 3 which is 15. Since there are 4, we multiply it by 4 and get 60.

For the base, we have 5 • 5, which is 25. Adding it together, we get 85.

If you are stuck on how to find surface area, all you have to do is find the area of each side and add.

I hoped this helped!

Answer:  ∠1 = 52°, ∠4 = 40°, ∠7 = 100°, ∠10 = 49°, ∠13 = 65°

Step-by-step explanation:

There are three formulas you need to find the angles. Each formula is based on where the vertex lies.

On the circle: Measure of the angle = (1/2) the arc (Images 1-3)

∠4 = (1/2)°80             ∠10 = (1/2)(18° + 80°)           ∠13 = (1/2)130°

    = 40°                           = (1/2)98°                            = 65°

                                       = 49°

Inside the circle: (1/2) Sum of the Big arc and Little Arc (Image 4)

∠7 = (1/2) (130° + 70°)

    = (1/2)200°

   = 100°

Outside the circle: (1/2) Difference of Big arc and Little Arc (Image 5)

∠1 = (1/2)[(62° + 130°) - (70° + 18°)]

    = (1/2) (192° - 88°)

   = (1/2)104°

   = 52°

I can only add 5 attachments.  If you want to see image 6 (which contains the measures for all of the angles), you will need to ask the question again.  Sorry!

Answer:

-7

Step-by-step explanation:

Basically it's just 6°C - 13°C = -7°C

Hope this helps.

Based on the original temperature and the amount it changed by, the new temperature is -7 °C.

The original temperature was 6 °C and this decreased by 13 °C.

The new temperature can be found by:

= Starting temperature - Temperature change

Solving would give:

= 6 - 13

= -7 °C.

In conclusion, the new temperature is -7 °C.

Find out more at https://brainly.com/question/17128945.

Answer:

Step-by-step explanation:

[tex]a^{-m}=\frac{1}{a^{m}}\\\\Therefore, \frac{1}{a^{-m}}=a^{m}[/tex]

[tex]11^{-5}[/tex] ÷ [tex]11^{-3} = 11^{-5} * 11^{3}\\\\[/tex]            {[tex]a^{m}*a^{n} = a^{m+n}[/tex]  }

                   [tex]11^{-5+3} \\\\= 11^{-2}[/tex]

Answer:

11^ -2  = 1 / 11^2 = 1/121

Step-by-step explanation:

11^-5 ÷ 11^-3

When the bases are the same, we subtract the exponents when dividing

11 ^ ( -5 - -3)

11 ^ ( -5+3)

11 ^ -2

We know that a^ -b = 1/a^b

1/ 11^2

1/121

Hey there! :)

Answer:

[tex]\frac{121}{9}[/tex]

Step-by-step explanation:

We can solve this by first converting -3 2/3 to an improper fraction:

[tex]-3\frac{2}{3} = \frac{-11}{3}[/tex]

Square the fraction:

[tex](\frac{-11}{3})^{2} = (\frac{-11}{3}) * (\frac{-11}{3}) = \frac{121}{9}[/tex]

Complete Question:

Four puzzles that were manufactured contained a total of 420 pieces. The next 6 puzzles contained a total of 630 pieces. If the relationship between the number of puzzles and the total number of puzzle pieces continues to be proportional, which could be the missing entries in the table?

A.) 8 puzzles 800 pieces

B.) 8 puzzles 840 pieces

C.) 10 puzzles 1000 pieces

D.) 10 puzzles 1200 pieces

Answer: B

Step-by-step explanation:

Given the table:

Number of puzzles (x) - - - - Number of pieces (y)

4 - - - - - - - - - - - - - - - - - - - - - - - - - - 420

6 - - - - - - - - - - - - - - - - - - - - - - - - - - 630

Calculating the relationship between number puzzles (x) and number of pieces (y)

x = ky

Where k = proportionality constant

----> 4 = k420 ; k = 420/4 = 105

-----> 6 = k630 ; k = 630/4 =! 105

Therefore assuming the total number of puzzles and puzzle pieces remains horizontal.

Taking A

8 = k800 ; k = 800/8 = 100

Taking B

8 = k840 ; k = 840/8 = 105

Taking C

10 = k1000; k = 1000/ 10 = 100

Taking D

10 = k1200; k = 1200/ 10 = 120

Therefore only ption B maintains the 105 L - value

Answer:

The answer is B

Step-by-step explanation:

The slope of a line is the average rate of change of the line.

The graph that represents [tex]\mathbf{y = x - 2}[/tex] is graph (a)

The line equation is given as:

[tex]\mathbf{y = x - 2}[/tex]

To do this, we simply test the options until we get the correct graph

(a) Line that passes through (-2,-4) and (0,-2)

This means that:

[tex]\mathbf{(x_1,y_1) = (-2,-4)}[/tex]

[tex]\mathbf{(x_2,y_2) = (0,-2)}[/tex]

Substitute values for x1 and y1 in [tex]\mathbf{y = x - 2}[/tex]

[tex]\mathbf{-4 = -2 - 2}[/tex]

[tex]\mathbf{-4 = -4}[/tex]

This point is true for [tex]\mathbf{y = x - 2}[/tex]

Substitute values for x2 and y2 in [tex]\mathbf{y = x - 2}[/tex]

[tex]\mathbf{-2 = 0 - 2}[/tex]

[tex]\mathbf{-2 = - 2}[/tex]

This point is also true for [tex]\mathbf{y = x - 2}[/tex]

Hence, the graph that represents [tex]\mathbf{y = x - 2}[/tex] is graph (a)

See attachment for the graph of [tex]\mathbf{y = x - 2}[/tex]

Read more about linear functions at:

https://brainly.com/question/20286983

Answer:

graph 4 i think

Step-by-step explanation:

Answer: hexacontagon

has 60 sides and interior angles is 10440 degrees.

Step-by-step explanation:

I kinda think its wrong but hope this helps, if its wrong, im sorry

Answer:

Heather's polygon has 3 sides.

Step-by-step explanation:

S = 60x       Try plugging in number for x that will work

I found that when x = 3, the equation was true

S = 60x     Substitute

S = 60(3)   Multiply

S = 180      If the sum of the interior angles is 180, the only shape that can be made is a triangle, which has 3 sides.

Answer:

Step-by-step explanation:

[tex]\frac29x+3>4\frac59\\{}\quad-3\quad-3\\\\\frac29x\ >\ 1\frac59\\\div\frac29\quad \, \div\frac29\\\\x>1\frac59\div\frac29\\\\x>\frac{14}9\times\frac92\\\\x>\frac{7}1\times\frac11\\\\x>7[/tex]

That means every x wich is greater than 7

Answer:

h = 1.38 cm

Step-by-step explanation:

The question is at what value is the height of both cylinders the same:

The area of the circular base on each cylinder is:

[tex]Area=\pi r^2\\A=4\pi \ cm^2\\B=25\pi \ cm^2[/tex]

The initial volume in cylinder A is:

[tex]V=4\pi *10\\V=40\pi\ cm^3[/tex]

We have that Va + Vb = 40π. The height of water in each cylinder as a function of volume is:

[tex]h_A=\frac{V_a}{4\pi}\\h_B=\frac{V_b}{25\pi}[/tex]

If both heights are the same:

[tex]\frac{V_a}{4\pi}=\frac{V_b}{25\pi}\\V_b=\frac{25}{4}V_a \\V_a+V_b=40\pi\\V_a+\frac{25}{4}V_a=40\pi\\V_a=5.5172\pi\ cm^3[/tex]

The height 'h' is:

[tex]h=\frac{5.5172\pi}{4\pi}\\ h=1.38\ cm[/tex]

Answer:

x=45

Step-by-step explanation:

the sum of straight angle=180

2x+45+x=180

3x=180-45

3x=135

x=135/3=45

Answer:

45 degree

Step-by-step explanation:

Since it is an straight line it means all of the added angles together equal 180

2x+45+x=180

3x+45=180

3x=135

x=135/3

x=45

Answer:

30

Step-by-step explanation:

It's just not a perfect square.

Answer:

30

Step-by-step explanation:

Perfect squares are numbers that can be expressed by another numbers times itself. The only number that is not a perfect square in this list is 30.

Answer:

y = -1/2 x - 13/2

Step-by-step explanation:

what is an equation of the line that is perpendicular to y-4=2(x-6) and passes through (-3,-5)

First, we need the slope of the given line.

y - 4 = 2(x - 6)

y - 4 = 2x - 12

y = 2x - 8

The slope of the given line is 2.

The slopes of perpendicular lines are negative reciprocals, so the slope of the perpendicular is -1/2.

y = -1/2 x + b

We use the given point as x and y and solve for b.

-5 = -1/2(-3) + b

-10 = 3 + 2b

2b = -13

b = -13/2

The equation of the perpendicular line is:

y = -1/2 x - 13/2

Answer:

3(3a+2b)

Step-by-step explanation:

9a+6b

3 times 3a=9a

3 times 2b=6b

Answer:

3(3a+2b)

Step-by-step explanation:

9a+6b

3²•a+(2.3)b

3(3²•a/3 +2•3b/3)

3(3²-¹ •a +2b)

3(3a+2b)

Answer:

Option B.

Step-by-step explanation:

If you begin with one dollar a day there will get you more by the end of the month because on day 2 your on 201 already which is more than you get in that month with one cent.

The first option (A) will give you more money than option (B).

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

Given that

Case A). Doubling each day

1 + 2+ 4 + 8 + 16 .... it is form a GP series with common ratio (r) 4/2 = 2

Number of terms (n)

Sum =  30( [tex]2^{30}[/tex] - 1)/(2 - 1) = $2147483464.

Case B). Adding $100 each day

1 + (101 + 201 + 301 ....) it is form a ap series with common difference d = 201 - 101 = 100.

Number of terms = 29

Sum = 1 + 29/2 + [ 2 (101) + 28(100)] = $43530

Hence it is clear that case (A) will give you more money.

For more information about the geometrical progression

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Answer:

the slope is zero so,it dont have mx value in equn it just have c value.

Answer:

(5, -3)

Step-by-step explanation:

(-16+x)/2 = -5.5 => x=5

(4+y)/2 = 0.5 => y=-3

Answer:

B.

Step-by-step explanation:

1.) Graph the point 2

2.) Since the inequality sign, < is just "less then" and "not less than or equal to," use a dotted line.

3.) Shade in the side that all the answers can be. So we know the answer can be 1, -1, -2, etc... since its asking for all the values that are less then 2, so shade the left side

Answer:

Reflection.

Step-by-step explanation:

The reflection of the point (x,y) across  the x-axis is the point (x,-y).

The reflection of the point (x,y) across  the line y = x is the point (y, x).

Given the preimage (2,-3).

Therefore, the type of transformation that has occured is Reflection.

Answer:

x+2

Step-by-step explanation:

write the problem out and then understand

Answer:

C.  

Step-by-step explanation:

5/8 = 20/32

20/32 ÷ 2 = 10/16

10/16 ÷ 2 = 5/8

Answer:

C

Step-by-step explanation:

You can see that both of the numbers are being multiplied by 4/4 which gives you a proportional relationship unlike the other answers there.