How far can a dog run into the woods?

Answer:

Last formula

[tex] {side}^{2} + \frac{\pi {r}^{2} }{2} [/tex]

Step-by-step explanation:

Composite figure is made up of a square and a semicircle.

Therefore,

Area of composite figure= area of square + area of semicircle

[tex] \huge\purple {\boxed {= {side}^{2} + \frac{\pi {r}^{2} }{2}}} [/tex]

Answer:

Yes

Step-by-step explanation:

6z > 15

z > 15/6

z > 2.5

So all numbers greater than 2.5 is in the solution set of the inequality 6z > 15.

Answer:

Step-by-step explanation:

amplitude of oscillation a = 12 / 2 = 6 inches.

time period T = 2 s

b = angular frequency = 2π / T

= 2π / 2

= π

so putting the values in the equation

d = a cos ( b t )

d = 6 cos ( π t )

Answer:

there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25

Step-by-step explanation:

Step-by-step explanation:

BECAUUUUSE ;

[tex]4 \div \frac{1}{5} = 20 \\ \frac{4}{1} \div \frac{1}{5} = 20 \\ \frac{4}{1} \times \frac{5}{1} = 20 \\ \frac{20}{1} = 20[/tex]

Answer:Because the divide sign change to multiplication sign, and when this happens denominator in the right hand side will become numerator,while the formal numerator will become denominator.

Step-by-step explanation:

4 ➗ 1/5

4 x 5/1=20

Answer:

Since 1 mm = . 03937 inches, mm would seem to be the units appropriate for defining the thickness of a coin measuring 2 units.

Step-by-step explanation:

Answer$5.22

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

tan x= 6/8

usually tan θ = perpendicular / base

So,

we get perpendicular = 6, base = 8

Now using Pythagorean Theorem to find hypotenuse

hyp² = base² + Perp²

hyp² = 8² + 6²

hyp²= 64 + 36

hyp²=100

Taking sq root on both sides

hypotenuse = 10

Now

sin θ = Perpendicular / Hyp

sin x = 6 / 10

Now

cos θ = base / Hyp

cos x = 8 / 10

Answer:

32

Step-by-step explanation:

g(x) = 4x² - 3x + 7

g(3) = 4(3)² - 3(3) + 7

g(3) = 4(9) - 9 + 7

g(3) = 36 - 9 + 7

g(3) = 25 + 7

g(3) = 32

Answer:

their all less than 90 degress so its acute

Step-by-step explanation:

Answer:

A line has equation y = ax + b, perpendicular to the line  y = -5x - 4

=> a x (-5) = -1 => a = 1/5.

This line passes (0, 3) => (1/5)*0 + b = 3 => b = 3

=> Equation of this line: y = (1/5)x + 3

Hope this helps!

:)

The equation of the line passes through the point (0, 3) and is perpendicular to the line → y = - 5x - 4  is  y = x/5 + 3.

The general equation of a straight line is -

y = mx + c

Given is a line that passes through (0, 3) and is perpendicular to the

line → y = - 5x - 4

Since the line is perpendicular to the line → y = - 5x - 4. We can write -

m[L] = -1/-5

m[L] = 1/5

Assume that the equation of the line is -

y = m[L]x + c

y = x/5 + c

Since the line passes through the point (0, 3), we can write -

3 = 0 + c

c = 3

The final equation of the line will be -

y = x/5 + 3

Therefore, the equation of the line passes through the point (0, 3) and is perpendicular to the line → y = - 5x - 4  is  y = x/5 + 3.

To solve more questions on Straight lines, visit the link below-

https://brainly.com/question/27730503

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Answer:

6 and 8

Step-by-step explanation:

The hypotenuse of a 30°-60°-90° triangle measures 10 inches.

To find the length of one of the legs, we use the idea of Pythagorean Triples.

Pythagorean Triples are any set of three numbers that satisfies the Pythagorean Theorem. Some common examples are:

Note that in a Pythagorean Triple,

In our given triangle, the Hypotenuse=10 Inches

Consider the Pythagorean Triple 3,4, and 5

Therefore, 6 and 8 could be the length of a leg of the 30°-60°-90° triangle.

Answer:

[tex]\dfrac{40}{42}[/tex]

Step-by-step explanation:

Let the numerator of the fraction=x

Since the denominator of a fraction is two more than the numerator.

Denominator=x+2

The fraction is therefore:

[tex]\dfrac{x}{x+2}[/tex]

If both numerator and denominator are decreased by six, the fraction becomes:

[tex]\dfrac{x-6}{x+2-6}[/tex]

The simplified result is [tex]\dfrac{17}{18}[/tex]

Therefore:

[tex]\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40[/tex]

Substituting x=40 into the initial fraction

[tex]\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}[/tex]

Therefore, the original fraction is [tex]\dfrac{40}{42}[/tex]

Answer: C you pay fee fewer upfront cost

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Since the truck goes 1040 miles and costs 52 gallons of gas every tiime it goes 1040 miles, we can divide 1040 by 52 to see how far 1 gallon of gas will get you.  1040/52=20 so every 20 miles cost 1 gallon of gas

Answer:

reeeeeee

Step-by-step explanation:

ask someone else

Answer:

$ 50

Step-by-step explanation:

Original price = Sale price + discount

= 40 + 25% of 40

= 40 + 0.25 * 40

= 40 + 10

Original price =  $50

Answer:

A. 2

Step-by-step explanation:

[tex] y = 16x^2 - 8x + 1[/tex] is a quadratic function, hence on solving it will give two zeros, therefore graph of the function will intersect x axis in two points.

Answer:

Step-by-step explanation:

-6x + 6y = -12

6x + 6y = -36

12y = -48

y = -4

3x - 12 = -18

3x = -6

x = -2

(-2, -4)

Answer:

15 liters

Step-by-step explanation:

60/480= 0.125

0.125*360= 45

60-45= 15

Answer:

0.733

Step-by-step explanation:

Using a calculator or table:

P(-1.32 < Z < 0.94) = P(Z < 0.94) − P(Z < -1.32)

P(-1.32 < Z < 0.94) = 0.8264 − 0.0934

P(-1.32 < Z < 0.94) = 0.733

Answer:

65

Step-by-step explanation:

multiply 1/2 and 10 to get 10/2

10/2(9.4+3.6)

divide 10 by 2 to get 5

add 9.4 and 3.6 to get 13

5 X 13

multiply to get 65

Answer:

  [tex]\dfrac{\left(\dfrac{13}{3}\right)}{\left(-\dfrac{5}{6}\right)}[/tex]

Step-by-step explanation:

The first step is to convert the mixed number to an improper fraction.

  [tex]\dfrac{4\frac{1}{3}}{\left(-\dfrac{5}{6}\right)}=\boxed{\dfrac{\left(\dfrac{13}{3}\right)}{\left(-\dfrac{5}{6}\right)}}[/tex]

Answer:

it's a

Step-by-step explanation:it's what the guy above me said

Answer:

6 people can attend the movie with ticket worth of $ 48 if each ticket costs $ 8.

Step-by-step explanation:

1 ticket costs $ 8 then divide $ 48 to find how many tickets worth $8 are there.

[tex]48 \div 8 = 6[/tex]

Answer:

y=-3x+b

Step-by-step explanation:

Find slope

-1-(-10)/2-5

9/-3

-3 is slope

y=-3x+b

substitute (2,-1)

-1=6+b

b=-7

y=-3x-7

Answer:

A: -2

B: -10

Step-by-step explanation:

A: the slope of line b is -2

B: Point: (-6,2)

So x= -6 and y = 2

Putting in slope intercept formula for finding b

y=mx+b

2=(-2)(-6)+b

2= 12 + b

b = 2-12

b= -10

The y-intercept of line b is -10

Answer:

Have them 4 by 5.

Step-by-step explanation:

If you she but 5 chairs in a row, then 3 on the side of the chairs. That would create a backward "L" type of shape.

For example, (The "o" is a chair)

OOOOO

O

O

O

As you see the the top are the 5 chairs, then side are are the 4 chairs.

Then, you will do the exact same thing  but on the opposite side.

Here is the next example.

OOOOOO

O            O

O            O

O            O

OOOOOO

Basically, arranging the chairs 4x5, it would make a rectangle.

Answer:107

Step-by-step explanation:

749 ➗ 7=107

Answer:

The correct answer is 11/36

Step-by-step explanation:

The probability that at least one die shows a '5' is 11/36.

The probability of an event is the chance of happening that particular event.

Here, a pair of standard dice are rolled.

Therefore, the total number of combinations of two dice is = 6² = 36.

The case at which one die shows a '5' are: (1, 5); (2, 5); (3, 5); (4, 5); (5, 5); (6,5); (5, 1); (5, 2); (5, 3); (5, 4); (6, 5)

Therefore, the total number of cases at which one die shows a '5' is = 11.

Therefore, the required probability of the given event is

= 11/36

Learn more about the probability of an event here: https://brainly.com/question/9548010

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Answer:

The amount of water is each balloon should be:

A = 6/20 =0.3 liters

Hope this helps!

:)

Answer:

0.3

Step-by-step explanation:

                                                                 .