The area of a square garden is 72 m2. How long is the diagonal?

Answer:

x = 21

Step-by-step explanation:

72+46+(2x+20)=180

118+20+2x=180

138+2x=180

138-138+2x=180-138

2x=42

2x/2=42/2

x=21

Step-by-step explanation:

It shows that the content of dietary fiber is negatively correlated to the blood cholesterol of college student, as the correlation coefficient is negative. However, the r=-0.45 shows the two factors are lowly correlated (absolute value of r between 0.3 and 0.5)

Answer:

see explanation

Step-by-step explanation:

6 × 24 ← replace 24 by 4 + 20

= 6(4 + 20) ← multiply each term in the parenthesis by 6

= 24 + 120

= 124

Answer:

5 Terms

Step-by-step explanation:

First we will count how many terms are there in this expression

a3

3a2b

-4ab

-11b

7

There are total 5 Terms in this expression

Answer:

3.52 is the unit price

Step-by-step explanation:

The only thing that you need to do do for know the answer is to divide 24.64 by 7

Hi,

Answer is $0.19

Step-by-step explanation:-

We know that:-

15 dimes = $1.50

20 nickels = $1.00

8 quarters = $2.00

half dollar = $0.50

19 pennies = $0.19

Total = $5.19

Since Billy spended $5, so,

$5.19 - $5 = $0.19

Hope it helps you...

Answer:

8cm

Explanation:

If the 16 cm is the diameter then the radius is 8 cm

Answer:

Monomial, Binomial, and Trinomial.

Answer:

Last worked 39 hours and earned $553.22. Enter and solve an equation to find Julio's normal hourly rate,

Step-by-step explanation:

3p²-7p-6

Now, 9-2=7 and 9×2=18

3p²-9p+2p-6

By taking out common, we get

3p(p-3)+2(p-3)

(3p+2)(p-3)

Answer:

(3p + 2)(p - 3)

Step-by-step explanation:

[tex]3p^2-7p-6\\(3p+2)(p-3)[/tex]

Answer:

x = 0, 2π/3, 4π/3, 2π.

Step-by-step explanation:

cos 2x = 2cos^2x - 1 so

2cos^2x - 1 = cos x

2cos^2x - cos x - 1 = 0

(2cosx + 1)(cos x - 1) =0

cos x = -1/2, 1.

When cos x = 1, x = 0, 2π

when cos x = -1/2, x = 2π/3, 4π/3.

L.C.M= (4x^2+y^2+2xy)(4x^2+y^2_2xy)(2x_y)(2x+y)

Answer:

question no. h is solve above therefore I solve question no j . hope this will help you ☺️

Answer:

six crore four lakh fifty seven thousand nine hundred eighty one

Answer:

3

Step-by-step explanation:

Answer:

0 and 2 s the answer

Answer:

x = 7

Step-by-step explanation:

Because the points are collinear:

AB + BC = AC

We'll plug in the expressions in terms of x.

(-1 + 2x) + (11) = (3x + 3)

And solve for x. Combine like terms on the left

2x + 10 = 3x + 3

Subtract 3 on both sides

2x + 7 = 3x

Subtract 2x on both sides

7 = x

Answer:

50 Percent of 320 is 160. 30 divided by 5, is 15, meaning that 300 divided by 5 will be 150. Divide 20 in half, and you get 10. Your answer is 150+10=160

Step-by-step explanation:

Answer:

[AF is equal to FE, CD + DE = CE]

a).

[tex]AM = \frac{1}{2} AD \\ \\ AM = \frac{15}{2} \\ \\ AM = 7.5[/tex]

b).

[tex]MF = \frac{1}{2} CF \\ \\ MF = \frac{7}{2} \\ \\ MF = 3.5[/tex]

c).

[tex]MB = ME \\ 6 = 4x - 5 \\ 4x = 11 \\ x = \frac{11}{4} \\ \\ x = 2.75[/tex]

Answer:

First take 0.23 as 0.23/1

Then Multiply the numerator and denominator by any number, Let us say 100

So it becomes,

0.23 x 100/100

=> 23/100

Answer:

[tex]herre \: total \: angle \: in \: circle = 360 \\ then \\ \: 6x + 1 + x - 19 + 35 = 360 \\ 7x - 18 + 35 = 360 \\ 7x + 17 = 360 \\ 7x = 343 \\ x = \frac{343}{7} = 49 \\ x = 49degree \\ thank \: you[/tex]

6x + 1° + x - 19° + 35° = 360°

6x + x + 1° - 19° + 35° = 360°

7x + 1° - 19° + 35° = 360°

7x + (-18)° + 35° = 360°

7x + 17° = 360°

7x = 360° - 17°

7x = 343°

x = 343° : 7

x = 49°

Answer:

Step-by-step explanation:

[tex]Let\ say\ r \ the \common\ ratio:\\a)a_4=r^2*a_2=9*a_2\Longrightarrow\ r=3\ (not\ -3\ since\ parts\ are\ positive)\\\\b)\\\displaystyle \sum_{i=1}^{n} a_i =a_1+a_2+a_3+...+a_n\\\\=a_1+a_1*r+a_1*r^2+a_1*r^3+...+a_1*r^{n-1}\\\\=a_1*(1+r+r^2+...+r^{n-1})\\\\=a_1*\dfrac{r^n-1}{r-1} \\\\147620=5*\frac{(3^n-1)}{3-1} \\\\3^n-1=\frac{2*147620}{5} \\\\3^n=59049 \\\\n*ln(3)=ln(59049)\\\\n=\dfrac{ln(59049)}{ln(3)} \\\\n=10\\\\a_n=5*3^{10-1}=5*19683=98415(cm)[/tex]

Part A : D.)

Part B : Length of the sandbox is 10 feet.

Step-by-step explanation:

Given,

Perimeter = 29 ft

We need to find the equation for the perimeter and also the length of the sandbox.

Solution,

Let the width of the sandbox be 'w'.

Now as per question said;

The length of the sandbox is 1 foot longer than twice the width of the sandbox.

So we can say that;

Length =

Now we know that the perimeter is equal to the sum of twice of length and width.

framing in equation form, we get;

Perimeter =

we have given the perimeter, so on substituting the value, we get;

Hence The equation used to find the width is  .

Now we solve for 'w'.

Applying distributive property, we get;

Subtracting both side by '2' we get

Dividing both side by 6 we get;

Width of the sandbox = 4.5 ft

Length of the sandbox =

Hence Length of the sandbox is 10 feet.

Answer:

35 Degrees

Step-by-step explanation:

Angle JKL is reffering to the whole angle. The angle is split into two, it gives us the measurement for angle 1 which is 38 degrees. To find the answer we simply subtract angle m from angle JKL. 73-38 = 35... So angle 2 is 35 degrees.

Answer:

d ≈ 9.5

Step-by-step explanation:

Calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (8, 2) and (x₂, y₂ ) = (- 1, 5)

d = [tex]\sqrt{(-1-8)^2+(5-2)^2}[/tex]

   = [tex]\sqrt{(-9)^2+3^2}[/tex]

   = [tex]\sqrt{81+9}[/tex]

    = [tex]\sqrt{90}[/tex]

    ≈ 9.5 ( to the nearest tenth )

Answer:

20 seconds

Step-by-step explanation:

h(t) = -16t2 + 640t

to find the maximum value =>

h'(t) = 0

-32t + 640 = 0

-32(t -20)= 0

t-20 = 0

t = 20 seconds

Find derivative of h(t)

[tex]\\ \rm\longmapsto \dfrac{d}{dx}(-16t^2+640t)[/tex]

[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]

[tex]\\ \rm\longmapsto -32t+640[/tex]

[tex]\\ \rm\longmapsto -32t+640=0[/tex]

[tex]\\ \rm\longmapsto -32t=-640[/tex]

[tex]\\ \rm\longmapsto t=\dfrac{-640}{-32}[/tex]

[tex]\\ \rm\longmapsto t=20s[/tex]

Answer:

70 pi cm

219.80 cm

219.9114858 cm

Step-by-step explanation:

The circumference of a circle is given by

C = pi*d

C = pi * 70cm

Using 3.14 for pi

C = 219.80cm

Using the pi button

219.9114858cm

Circumference of circle = 2πr

Hence , r is 35 cm

⇛Circumference of circle = 2πr

⇛Circumference of circle = 2*3.14*35

⇛Circumference of circle = 6.28*35

⇛Circumference of circle = 219.8 cm

Hence , Circumference of circle is 219.8 cm

Answer:

[tex] \frac{3393939}{10000000} [/tex]

Step-by-step explanation:

[tex]0.(3)3(9) = \frac{3393939}{10000000} [/tex]