14. Two sides of a parallelogram are in the ratio 5 : 3 and its perimeter is 48 cm. Find
the length of each of its sides.​

Answer:

Step-by-step explanation:

At the end of practice, Joseph will need to run another 1.75 miles or 1 3/4 miles.

To determine this we need to subtract the amounts he already has run during practice from the goal of 3 miles.

3 miles - 1/2 miles - 1/4 miles - 1/4 miles - 1/4 miles = 1.75 miles

Step-by-step explanation:

(12) in base 8

= (1 * 8¹ + 2 * 8⁰) in base 10

= (8 + 2) in base 10

= 10 in base 10.

(117) in base 8

= (1 * 8² + 1 * 8¹ + 7 * 8⁰) in base 10

= (64 + 8 + 7) in base 10

= 79 in base 10.

Using octal numeral system, 12₈ number as 10₁₀ and (117)₈ number as (79)₁₀.

Octal numeral system has "a base of 8 and uses the number from 0 to 7".

According to the question,

a) (12)₈

          = (1 * 8¹ + 2 * 8⁰)₁₀

          = (8 + 2)₁₀

          = 10₁₀.

b) (117)₈

        = (1 * 8² + 1 * 8¹ + 7 * 8⁰)₁₀

        = (64 + 8 + 7)₁₀

        = (79)₁₀

Hence, using octal numeral system, 12₈ number as 10₁₀ and (117)₈ number as (79)₁₀.

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Answer:

[tex]\frac{49}{6} <x<\frac{41}{2}[/tex]

Step-by-step explanation:

The possible ranges of x are listed above. Hope this helps! :)

Answer:

Yes

Step-by-step explanation:

Yes. 72 divided by 4 would be 18, so it is a factor

Answer:

Yes

Step-by-step explanation:

Yes because 4 x 18 = 72

72 divided by 18 = 4

I know this because if you multiply 4 x 18 you will get 72. To check you can do the inverse operation, which is division, so with that being said,  72 divided by 18 = 4.

I explained to so you can have a better understanding. Have a great day!

Answer:

21.6

Step-by-step explanation:

i did the math

Answer:

Yes

Step-by-step explanation:

29-18=11

c=11

18+2(11)=40

Answer:

30

Step-by-step explanation:

If A+B is 18, A and B should equal 9.

A+B+C=29, that should mean C=6.

A+B+2C=9+9+2(6)

9+9+2(6)=30

Answer:

126

Step-by-step explanation:

In order to find the initial number, we need to create the expression that is being mentioned and solve for the initial value by applying the opposite expressions to isolate the variable.

(((x / 42) * 8) + 10) = 34   ... subtract 10 from both sides

((x / 42) * 8) = 24 ... divide both sides by 8

(x / 42) = 3  ... multiply both sides by 42

x = 126

Finally, we can see that the initial value was 126

Answer:

a

Step-by-step explanation:

7/9 * 10/9 * 0.62 =

(7 * 10 * 62) / (9 * 9 * 100)

Multiply

4340 / 8100

Simplify by dividing by 20.

217/405 (about 0.535)

This is less than 2/3 (about 0.66), so it has to be "a" because all the other options are greater than 2/3

Answer:

angle 1 is 145°

Step-by-step explanation:

this is because à horizontal line is always 180° so you jus have to subtract 35 from 180

Answer:

64x^2/3x^5/4

Step-by-step explanation:

(4x^2/3)^3 / (81x^5)^1/4​

4^3*x^2/3*3 / 3^4*1/4*x^5/4

64*x^2 / 3*x^5/4

9514 1404 393

Answer:

  C.  Two or zero

Step-by-step explanation:

The signs of the polynomial terms are: + + - +.

There are two sign changes, one from + to -, and the other from - to +. The two sign changes means the number of positive real roots will be a maximum of 2. Any even number of roots may be complex, so will not be real. That is, the number of positive real roots may be 2 or 0.

Step-by-step explanation:

4) p(x)=256

p(x)=2 ^ x+2

256=2 ^ x+2

2⁸= 2 ^ x+2

8=x+2

x=8-2=6

5)243=3 ^ x+3

3×3×3×3×3 = 3 ^ x+3

3⁵= 3^ x+3

5 = x+3

x=5-3=2

Answer:

[tex]p(x) = 256 \\ p(x) = {2}^{(x + 2)} \\ {2}^{(x + 2)} = 256 \\ {2}^{(x + 2)} = {2}^{8} \\( x + 2) = 8 \\ x =( 8 - 2) \\ \boxed{x = 6}[/tex]

[tex]243 = {3}^{(x + 3)} \\ {3}^{(x + 3)} = {3}^{5} \\ (x + 3) = 5 \\ x = (5 - 3) \\ \boxed{ x = 2}[/tex]

Answer:

The equation of the parabola

( y +2 )² = 16 (x-2)

Step-by-step explanation:

Step(i):-

Given the focus of the Parabola ( 6, -2 )

we know that the Focus of the Parabola

                ( h + a , k ) = ( 6 , -2 )

Comparing

              h + a = 6 ...(i)

          and  k = -2

Given directrix of the parabola

           x = -2

The  directrix of the parabola  x = h - a = -2

        h - a = -2 ...(ii)

Adding (i) and (ii) equations , we get

    h + a + h-a = 6 -2

                2 h = 4

           ⇒    h  = 2

Substitute 'h' = 2 in equation (i) , we get

          h + a = 6

          2 + a = 6

                a = 6 -2 =4

Step(ii):-

The equation of the parabola having Vertex ( h,k) = (2 , -2) and a = 4

[tex](y-k)^{2} = 4a ( x-h)[/tex]

( y - (-2))² = 4 (4) ( x -2)

Final answer:-

The equation of the parabola

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

( y +2 )² = 16 (x-2)

Answer:

360-(<XYZ + <WYZ)

Step-by-step explanation:

Angles around a point add up to 360°

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Answer:

i think 7

Step-by-step explanation:

Answer

is there it a multiple choice or just a word problem

Step-by-step explanation:

Step-by-step explanation:

find 3x + 12y = 1 in terms of y

so y = -3/12 z + 1/3

y = -1/4 x + 1/3

gradient of the line(m) = -1/4

gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4

(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)

for this line x1=-2 and y1=6 and m=4

so using the equation

(y-y1) = m(x-x1)

y-6 = 4(x-(-2)

y-6 = 4(x+2)

y-6 = 4x + 8

y = 4x + 14

y = 4x + 14 is the equation of the line that contains the coordinates (-2, 6) and is perpendicular to the line 3x + 12y = 1.

When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.

Given an equation of line  3x + 12y = 1

so y = -3/12 z + 1/3

y = -1/4 x + 1/3

gradient of the line(m) = -1/4

gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4

(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)

for this line x₁=-2 and y₁=6 and m=4

so using the equation

(y-y₁) = m(x-x₁)

y-6 = 4(x-(-2)

y-6 = 4(x+2)

y-6 = 4x + 8

y = 4x + 14

Therefore, the equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the point (-2, 6) is y = 4x + 14

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Answer:

x=-3/2

Step-by-step explanation:

this is under the assumption that 8x3 is an exponent

Answer:

x=3/2

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

the diagram is shown to have 3 equal angles (equilateral triangle) therefore all sides are the same length.

X = 12

Answer:

k= -50/p

Step-by-step explanation:

Answer is worked out in the photo above.

Answer: 252

Step-by-step explanation:

change/original price x 100

43.13/575 = 0.07500869 X 100 = 7.5%

Answer:

810

Step-by-step explanation:

54x15=810.

hope this helps

Step-by-step explanation:

54 x 15 = 810

all you have to multiply

Answer:

You need to ask a question for someone to answer it.

Are you looking for their derivatives?

-x² + 164x - 64  => -2x + 164

-4x² - 10x + 84 => -4x - 10

3x² + 24 => 6x

Indefinite Integrals?

-x² + 164x - 64  => -x³/3 + 82x² - 64x + C

-4x² - 10x + 84 => -4x³/3 - 5x² + 84x + C

3x² + 24 => x³ + 24x + C

Want them factored?

-x² + 164x - 64  => has no factors

-4x² - 10x + 84 => 2(2x - 7)(x + 6)

3x² + 24 => 3(x² + 8)

We can't ensure a proper answer if you don't ask the question.

Answer:

so, its 2.34 to the square root of 163

Step-by-step explanation:

you need to find the angle congruent to side 'actor'

times that by your credit card and divide by lauren

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