The johnsons's back yard is 3/8 of am arce.They planted a vegtable garden on 1/3 of the yard.How big is the garden?



Pls help;

Answer:

x = 4 , y = 2

Step-by-step explanation:

Using the sine / tangent ratios in the right triangle and the exact values

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] and tan60° = [tex]\sqrt{3}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

x [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = 4

and

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{2\sqrt{3} }{y}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by y )

y [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

y = 2

Answer:(:

Step-by-step explanation:

15281

Answer:

450 words at a rate of 45 word per minute

Step-by-step explanation:

180 divided by 4 equals 45

times 10 equals 450

Answer:

450 words in 10 minutes

Step-by-step explanation:

To set this up you need to put it like this:

[tex]\frac{180}{4} =\frac{x}{10}[/tex]

From here, you need to cross multiply, which will get you to: 180(10) = 4x

Multiply 180 and 10: 1,800

The equation will now be: 1,800 = 4x

Now, divide both sides by 4:   450 = x

Answer:

B. x=15 ayan na ang sagot

[tex] \frac{3}{7} \times \frac{2}{3} \\ \\ reduce \: \: the \: numbers \\ \\ \frac{1}{7} \times 2 \\ \\ calculate \\ \\ = \frac{2}{7} \\ \\ in \: alternate \: \: form \\ \\ 0.285714 \\ \\ hope \: it \: helps[/tex]

Answer:

2/7

Step-by-step explanation:

3/7 x 2/3

1. Multiply the numerators and denominators: 3 ×2 = 6, 7 × 3 = 21 --> 6/21

2. Simplify: 6/21 = 2/7

Answer:

18

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

15% is [tex]\frac{15}{100}[/tex] which is equal to 0.15

Multiply 0.15 times 120 and you will get the answer below:

0.15 × 120 = 18

Answer:

No I don't agree with Marty because when or if I get more money I have to give it to the bank so lets say I earned 15 dollars I would have to give five to the bank because I owe the them but if Ii have 0 dollars I don't owe the bank money I get all the 15 dollars.

Step-by-step explanation:

Answer/Step-by-step explanation:

I disagree with Marty because If Marty would have -$5 it would mean he owns that person $5. If you don't have money you don't owe anything.  If Marty would have -$5 it would mean he owns that person $5. If you don't have money you don't owe anything.

Answer:

k is 3 or 15/2

Step-by-step explanation:

because it have two equation

brainlist please

Answer:

(√3 tan x + 1) / (√3 - tan x)

Step-by-step explanation:

[tex]tan (x+\frac{\pi }{6})\\= \frac{tan x+\frac{1}{\sqrt{3} } }{1-\frac{tan x}{\sqrt{3} } } \\= \frac{\sqrt{3} tan x + 1}{\sqrt{3} -tan x}[/tex]

Answer:

72π (in terms of pi)

Step-by-step explanation:

V = π·r²·h

Plug in the values.

V = π·3²·8

Solve.

V = 72π

To leave an equation in terms of pi, just square, multiply, and leave pi at the end.

3² = 9·8 = 72

72π

If you need the answer fully simplified, it is 226.19 (rounded up).

Answer:

first one is correct

Step-by-step explanation:

length of a rectangle = 2b - 8c

breadth of a rectangle = 10b + 6c

now , formula to calculate the perimeter of rectangle is

p = 2 (l + w)

no substitute the value of l(length) and w(width)

p = 2{(2b - 8c) + (10b + 6c)}

p = 2(2b - 8c + 10b + 6c)

p = 2(12b - 2c)

p = 24b - 4c

9514 1404 393

Answer:

  h = r +4d -m

Step-by-step explanation:

There are a couple of ways to go about this:

1) Solve it the way you would any 2-step linear equation.

Step 1:

Identify the terms that do not involve h on the side of the equation that has the h-term. Subtract those terms from both sides of the equation.

  m -r -4d = -h

Step 2:

If the coefficient of h is not 1, divide both sides of the equation by that coefficient.

  (m -r -4d)/(-1) = (-h)/(-1)

  -m +r +4d = h

I like to have the leading coefficient be positive, so I might write this as ...

  h = 4d +r -m

__

2) The only h term has a -1 coefficient, so it can be given a coefficient of +1 by adding h to both sides of the equation.

  h +m = r +4d

There is an unwanted m term with the h term, so subtract that from both sides of the equation.

  h = r +4d -m

Answer:

h = 4d -m + r

Step-by-step explanation:

m = r-h +4d

h = 4d -m + r

we know when the real root is  r = h-4d  

the m+h = r+4d is step 1

then simply h-m = 4d-m + r is step 2

then h = 4d -m + r

Step-by-step explanation:

X = 8/9

X = 8 Over 9

X = 8 Over 9

x = 2

Step-by-step explanation:

5(x-2) = 3(2-x)

5x-10 = 6-3x

8x = 16

x = 2

Answer:25.66 in^2/slice. Except for mine. It is 123.34 in^2.

Step-by-step explanation:

Area = pi*r^2

Area = 153.94 in^2

(153.94 in^2)/6 = 25.66 in^2

Answer:

Step-by-step explanation:

-0.096 is -0.096 thousandths, or -96/1000

That can be reduced by removing 8:

-[(8)*(12)]/[(8)*(125)] = -12/135

-12/125 = -0.096

Answer:

not enough information

Step-by-step explanation:

in order to even think about solving this we need at 2/3 measurements

like aas, sas, sss ect

Answer:

d/t

D= Distance

T= Time

Step-by-step explanation:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The formula to find average speed ~

[tex] \mathrm{ \dfrac{total \: \: distance \: \: covered}{total \: \: time \: \: taken} }[/tex]

Formula for Instantaneous speed ~

[tex] \dfrac{ds}{dt} [/tex]

where,

It's derivative of distance with respect to time ~

hope it helps !

Answer:

33.2

Step-by-step explanation:

When you add the left side of the equation, you get 33.2 because 70-30 is 40, 40+2 is 42, 42-9 is 33, 33+0.3 is 33.03, 33.3-0.1 is 33.2.

When you add the right side of the equation, you get 33.2, because they are the same problem but on side has brackets.

Hope this helps you.

Answer:

A is (20, -35)

B is (-15, 45)

Step-by-step explanation:

Hope this helps you out :)

Have a great day

-Kendra <3

Answer:

your answer is A

I can assure you that you will give brainlest

Answer:

A

Step-by-step explanation:

0.0001660749

29÷0174620= 0.0001660749

hope this helped you- have a good day bro cya)

Answer:166.0749055091055

Answer:

when you divide you get -11/12

if you have a calculator you could add the 5/8 and 3/4

then add the -2/3 and the -5/6

then divide the first answer by the second answer

Answer:

[tex] \frac{( \frac{5}{8} + \frac{3}{4}) }{( - \frac{ 2}{3} - \frac{5}{6} )} \\ \\ \\ \frac{( \frac{5}{8} + \frac{6}{8}) }{( - \frac{4}{6} - \frac{5}{6} ) } \\ \\ \\ \frac{ (\frac{5 + 6}{8}) }{( \frac{ - 4 - 5}{6} )} = \frac{( \frac{11}{8} )}{( - \frac{9}{6} )} \\ \\ \\ \frac{11}{8} \div ( - \frac{9}{6} ) \\ \\ \\ \frac{11}{8} \times ( - \frac{6}{9} ) \\ \\ \\ \frac{11}{8} \times ( - \frac{2}{3} ) \\ \\ \\ \frac{11}{4} \times ( - \frac{1}{3} ) \\ \\ \\ = - \frac{11}{12} \\ \\ \\ = - 0.91666[/tex]

I hope I helped you^_^

Answer: the endpoint is going to be  (-12,11)

Step-by-step explanation: sorry if it wrong

Answer:

mm the answer would be

Step-by-step explanation:

1 may be

Answer:

good

Step-by-step explanation:

for points don't take serious

Answer:

[tex](a^{2}+b^{2})^{1/3}[/tex]

Step-by-step explanation:

(a² + b²)^1/3

Any number to the power 1/2 means to square root the number

Any number to the power 1/3 means to cube root the number etc.

Answer:

Step-by-step explanation:

Zeke's earnings are:

This amount is less than 240.

This can be shown as:

The matching choices are B, C and D (note C and D are given same, must be a typo)

Answer:

C 12.75h – 17.90 < 240

Step-by-step explanation:

Answer:

8. 14x+6+16x+4=130

30x+10=130

30x+10-10=130-10

30x=120

x=4

10. 11x+3-85=5x-10

11x+3-85-5x=5x-10-5x

6x+3-85=-10

6x+3-3-85+85=-10-3+85

6x=72

x=12

Step-by-step explanation: