Which are the side lengths of a right triangle? Check all that apply.
3, 14, and 205
6, 11, and 158
19, 180, and 181
O 3, 19, and 380
2, 9, and 185

Answer:

see below

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length of each side corresponds to the sizes of each angle respectively.

To determine the length of each side, we would apply sine rule which is expressed as

a/sinA = b/SinB = c/SinC

The diagram of the triangle is shown in the attached photo. The longest side is c. If the shortest side is 10 cm less than the longest side, it means that the length of the shortest side is c - 10

Therefore,

c/Sin75 = (c - 10)/Sin45

c/0.966 = (c - 10)/0.707

Cross multiplying, it becomes

c × 0.707 = 0.966(c - 10)

0.707c = 0.966c - 9.66

0.966c - 0.707c = 9.66

0.259c = 9.66

c = 9.66/0.259

c = 37.3 cm

The shortest side is

37.3 - 10 = 27.3 cm

Applying the sine rule again,

b/Sin60 = 37.3/Sin75

b/0.866 = 37.3/0.966

Cross multiplying, it becomes

0.966b = 0.866 × 37.3

b = 32.3018/0.966

b = 33.4 cm

The perimeter is

27.3 + 33.4 + 37.3 = 98 cm

Answer:

JKM AND GHK

Step-by-step explanation:

THE SUM OF THE TWO ANGLES IS 180°

_______________________________

Hey!!

The supplementary angles are <IHK and < IHF

Supplementary angles are those angles which is exactly 180 degree.

Hope it helps..

Answer:

El recolector recoge un total diario de 50 kilogramos.

Step-by-step explanation:

(The following problem is written in Spanish and for such reason explanation will be held in the same language)

La masa total diaria recogida es igual al número de cajas recogidas por día y la capacidad de la caja. Entonces:

[tex]m = n \cdot m_{unit}[/tex]

[tex]m = (4\,cajas)\cdot \left(\frac{25}{2}\,\frac{kg}{caja} \right)[/tex]

[tex]m = 50\,kg[/tex]

El recolector recoge un total diario de 50 kilogramos.

Answer:

1). a = 10, b = 6

2). a = 5, b = 3, c = 8

Step-by-step explanation:

Given expression is,

1). [tex]\frac{7^{6}\times 7^8}{7^4}[/tex] = [tex]\frac{7^a}{7^4}=7^4[/tex]

= [tex]\frac{7^{2+8}}{7^4}[/tex] [Since [tex]x^{m}\times x^n=x^{(m+n)}[/tex]]

= [tex]\frac{7^{10}}{7^4}[/tex]

= [tex]7^{{10-4}}[/tex]

= [tex]7^{6}[/tex]

Therefore, a = 10 and b = 6

2). [tex]\frac{2^5}{4}=\frac{2^5}{2^a}=2^b=c[/tex]

= [tex]\frac{2^5}{2^2}[/tex]

= [tex]2^{{5-2}}[/tex]

= [tex]2^{3}[/tex]

= 8

Therefore, a = 5, b = 3 and c = 8

Answer:

see below

Step-by-step explanation:

$36/4oz  = $9 per oz

24/3oz = $ 8 per oz

$20/2oz  = # 10 per oz

Answer:

(4+√142)/(3) or x=(4-√142) /3

Step-by-step explanation:

(4+√142)/(3) or x=4-√142 /3

Answer: 385 tickets

Step-by-step explanation:

From the question, City Middle School held its annual musical production last weekend and of the 700 tickets that were sold, 55% were for the Saturday performance. The number of tickets that were sold for the Saturday show will be 55% of 700. This can be expressed mathematically as:

= 55% of 700

= 55/100 × 700

= 55 × 7

= 385 tickets

385 tickets were sold for the Saturday show.

Answer:

ITS IS A= 385

Step-by-step explanation:

Answer:

142 pages

Step-by-step explanation:

The parameters given are

First page of part of the book available = 143

The last is numbered with the digits 143

Since the book is said to have been split into two parts with, we have that one part of the book starts from the beginning, while the other part continue from the first part stops

Number on the pages on the first part = from 1 to number on the first page on the second part - 1

Hence, the part of the book available is the second part and the number of pages in the first part = 1 to 142 or 142 pages.

Answer:

r = t(r-3)

Step-by-step explanation:

t = r/r-3

r/r-3 = t

r = t x (r-3)

Option D is the right answer

(-1,4),(1,7),(2,10)

It is a function because input X values have its unique output y values.

hope it helps

Good luck on your assignment

number sweet is 35

we divided ratio  =4x:3x

total  = 4x+3x

7x= 35

= 35/7

x= 5

1 st part will be 4x = 4*5= 20 sweets.

2 nd part will be 3x = 3*5= 15sweets

Answer:

1*2(3-2n) = 2(n-2)

Thanks for giving question. I am working my way up to brainliest and Master Answerer

Answer:

(n-1) / 2

Step-by-step explanation:

We have that the sum has the form of:

Sn = n / 2 [2 * a + (n-1) * d]

we compute the terms of a and d

a = 1 - 1 / n

a = (n - 1) / n

, that is, the first term, in the case d is the subtraction between the second and the first term, thus:

d = 1 - 2 / n - (1 - 1 / n)

d = 1 - 2 / n - 1 + 1 / n

d = - 1 / n

now if replacing these values:

Sn = n / 2 * [2 * (n - 1) / n + (n-1) * (- 1 / n)

Sn = n / 2 * [2 * (n-1) - (n-1)] / n

Sn = 1/2 * (n-1)

Therefore, the value of that sum is (n-1) / 2

Answer:

Find the square root of 324

Answer:

21x+4

Step-by-step explanation:

To find the perimeter you have to add up all the sides

Answer:

Length = 7   Width = 2

Step-by-step explanation:

L = Length

W = Width

L=9w-11

2L+2W=18

2(9W-11) + 2W = 18

18W - 22 +2W = 18

20W -22 = 18

20W = 40

W = 2

L = 9(2)-11

L=18-11

L=7

The length and width of the rectangle is equals to 7inches and 2inches respectively.

" Rectangle is defined as the quadrilateral whose opposite sides are congruent and parallel to each other , one of the interior angle is of measure 90°."

Formula used

Perimeter of the rectangle = 2 (length + width)

According to the question,

Given,

Perimeter of the rectangle = 18inches

'x' represents the width of the rectangle

As per the condition given,

Length of the rectangle = [tex]9x -11[/tex]

Substitute the value in the formula we get,

[tex]2(9x -11 +x)=18[/tex]

⇒[tex](10x-11)=\frac{18}{2}[/tex]

⇒[tex]10x= 9+11[/tex]

⇒[tex]x= 2inches[/tex]

Length of the rectangle = [tex]9(2)-11[/tex]

                                        = [tex]18-11[/tex]

                                        = [tex]7inches[/tex]

Hence,  length and width of the rectangle is equals to 7inches and 2inches respectively.

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The number less than a cube is 26.

The cube of a number is obtained by multiplying the number three times.

Determine the cube of 3.

3·3·3=27

So, the cube of 3 is 27.

From the given options it can be observed that the number 26 is 1 less than 27.

Thus, the number one less than cube is 26.

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Answer: C

Step-by-step explanation:

If you look at the patterns in the table, you will notice that y is always the square of x. So y = x^2 (C)

Answer:

c

Step-by-step explanation:

When you multiply any negative number by any power the answer is the same as the positive of that number.Just make sure you put it in like this into the calculator:

[tex](-4)^{2}[/tex]

Answer:

0.00783874

Step-by-step explanation:

7/893= 0.00783874

I just put it in the calculator  

Answer: 9/4a^2|b^3|c^4

Step-by-step explanation:

81/16

Square root(81) = 9

Square root(16) = 4

9/4

Since 4 is the index of the radical, all of the exponents divide by 4

(index 4)a^8 = a^2

(index 4)b^12 = b^3

(index 4)c^16 = c^4

Now put the variables together to get the answer:

9/4a^2|b^3|c^4

Answer:

(4 , 3 ) and (-3 , -4)

Step-by-step explanation:

Other two vertices will be in 1st quadrant and 3 rd quadrant

Answer: (4 , 3 ) and (-3 , -4)

Step-by-step explanation: Other two vertices will be in 1st quadrant and 3 rd quadrant

Answer:

((-3,-1),(3,-1)),((-3,11),(3,11))

Step-by-step explanation:

The distance between the two vertices is 6

So, add 6 and minus 6 to the y coordinates.

Answer:

( - 3, - 1 ), ( 3, - 1 ) / ( - 3, 11 ), ( 3, 11 )

Step-by-step explanation:

Let us first consider the distance between points ( - 3, 5 ) and ( 3, 5 );

[tex]( - 3, 5 ), ( 3, 5 )\\Distance = 3 + 3 = 6 units[/tex]

If these are points that are vertices of the square, it should be that the other 2 points are 6 units farther from these points;

[tex]Distance = 6 units,\\( - 3, 5 ) - ( - 3, - 1 )\\( 3, 5 ) - ( 3, - 1 )[/tex]

[tex]Distance = 6 units,\\( -3, 5 ) - ( - 3, 11 )\\( 3, 5 ) - ( 3, 11 )[/tex]

Let us confirm ( -3, - 1 ) and ( 3, - 1 ) are 6 units apart, respectively ( -3, 11 ) and ( 3, 11 ) to say they are the other two vertices;

[tex]( - 3, - 1 ), ( 3, - 1 )\\Distance = 3 + 3 = 6 units[/tex]

[tex]( -3, 11 ), ( 3, 11 )\\Distance = 3 + 3 = 6 units[/tex]

Thus, the possible vertices are ( - 3, - 1 ) and ( 3, - 1 ) or ( - 3, 11 ) and ( 3, 11 )

Answer:

Step-by-step explanation:

Answer:

3x - 1 = 0

Step-by-step explanation:

3x + 1 = 0

The perpendicular of a line has a slope that is the negative reciprocal of that lines slope.

So the answer is 3x - 1 = 0

The Answer:

2 is an integer.

Answer:

c

Step-by-step explanation:

edgeinuity

Answer:

Kerry = 2/3 * 420 = 280

David = 3/4 * 420 = 315

David read more pages compared to Kerry.

David read 35 more pages than Kerry.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Chemistry book contains 420 pages.

Kerry read 2/3 of her chemistry book,

= 2/3 x 420

= 280 pages.

David read 3/4 of her chemistry book,

= 3/4 x 420

= 315 pages.

315 - 280 = 35 pages.

Therefore, David read more pages.

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Answer:

A quadratic equation

Step-by-step explanation:

Given

[tex]\frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex]

Required

Which equation can be solved using the above expression

Using the above expression, the equation that can be solved is the roots of a quadratic equation

The general format of the roots of a quadratic equation is given as

[tex]x= \frac{-b +- \sqrt{b^2- 4ac}}{2a}[/tex]

When [tex]x= \frac{-b +- \sqrt{b^2- 4ac}}{2a}[/tex] is compared to [tex]\frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex], one would observe that they have the same format;

Solving [tex]\frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex] further to get the values of x

[tex]x = \frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex]

[tex]x = \frac{-3 +- \sqrt{9 + 4*10*2}}{2*10}[/tex]

[tex]x = \frac{-3 +- \sqrt{9 + 80}}{20}[/tex]

[tex]x = \frac{-3 +- \sqrt{89}}{20}[/tex]

So;

[tex]x = \frac{-3 + \sqrt{89}}{20} \ or \ x = \frac{-3 - \sqrt{89}}{20}[/tex]

Answer:

B) 2 = 3x + 10[tex]x^{2}[/tex]

Step-by-step explanation:

took the test

Answer: B = (1,-9)

Step-by-step explanation:

[tex]x_M=\frac{x_A+x_B}{2} \\\\y_M=\frac{y_A+y_B}{2} \\\\\\x_B = 2x_M-x_A=2(-1)-(-3)=1\\\\y_B = 2y_M-y_A=2(-7)-(-5)=-9\\[/tex]

Answer:

the answer is b

Step-by-step explanation:

Answer:

Okay, so, your picture kinda blurry but I'll still help you:

to find y intercepts you just see where the line crosses the y axis and write the coordinate down for each line.

To find the gradient, just pick two points on a line and do

1)the difference between both y axis points

2)the difference between the x axis points

and then divide 1) by 2) to get the gradient.

Hope this helps!!