question is-- Northern Tier Gardens has hired you for a summer job installing water gardens. they have circular water garden pools available in a variety of sizes. the manager has asked you to create a table to show the circumference and area of the company's various water garden pools. use 3.14 for π and round each answer to the nearest hundredth. === 20 PTS.

Answer:

the red car is traveling at 102.44 ft/s along the road

Step-by-step explanation:

From the given information:

Let consider p be how far the car is up the road and  q be how far the police is off the road.

Also, suppose that r is the distance between the police and the car.

Then, we can have a right triangle in which  we can use the Pythagorean Theorem to calculate the r (distance between the cop and the car)

NOW,

p² + q² = r²

r² = 40² + 180²

r² = 1600 + 32400

r² = 34000

r = [tex]\sqrt{34000}[/tex]

r = 184.39

If we consider q'  to be how fast the car is traveling down the road.

And, p' be how fast the police is traveling toward the road.

r' be how fast the distance between the police and the car is changing.

then , the derivative of our equation, p² + q² = r² with respect to time can now be:

2p(p') +2q(q') = 2r(r')

p(p') +q(q') = r(r')

By replacing our values; we have:

40(0) +180(y') = [tex]\sqrt{34000} \times 100[/tex]    (given that the police is not moving p' =0)

180(y') = [tex]\sqrt{34000} \times 100[/tex]

[tex](y') = \dfrac{\sqrt{34000} \times 100}{180}[/tex]

[tex](y') = \dfrac{184.39 \times 100}{180}[/tex]

[tex]\mathbf{(y') = 102.44 \ ft/s}[/tex]

the red car is traveling at 102.44 ft/s along the road

Answer: Exact Form: 30√2

Decimal Form:42.42640687…

Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

I hope this helped :)

Answer:

  30√2

Step-by-step explanation:

The radical portion of the given expression is √72.

__

Perhaps you want the simplest form of your expression. Factor out the perfect squares from under the radical.

  [tex]5\sqrt{72}=5\sqrt{36}\sqrt{2}=5\cdot 6\sqrt{2}=\boxed{30\sqrt{2}}[/tex]

Answer:

Step-by-step explanation:

The graph of function f(x)+2 is moved 2 units up compared to the graph of f(x).

It means the x-coordinate is the same and the y-coordinate of f(x)+2 is increased by adding 2 to y-coordinate of f(x).

-8 + 2 = -6

Answer:

see explanation

Step-by-step explanation:

Corresponding angles within the similar figures are congruent, thus

x = ∠ A = 52°

h = 7 × 1.5 = 10.5 cm

From B to A then divide by the scale factor, that is

w = 12 ÷ 1.5 = 8 cm

Answer:

120c

Step-by-step explanation:

7c(-5c)*(-4+6)

7c+5c*4+6

12c*10

120c

Answer:

the answer can be step by step explanation will be found in the answer was Matilda by 776 7 x 6 then the answer you will you - with the answer dancer used you New divide the answer that answer the simple your answer if we multiply you can contact me and say me in which is correct or wrong and I am a teacher

Answer:

2' 3"

Step-by-step explanation:

Here 4' 1" − 1' 10" is certainly possible, but to carry out this operation we must borrow 1', or 12", from 4' 1":

4' 1" becomes 3' 13", and so the original problem becomes

3' 13" - 1' 10"

which in turn becomes 2' 3"

Answer:

$26532.98

Step-by-step explanation:

Given:

Sum is:

Answer:

w = 100°

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral in a circle are supplementary.

Therefore, [tex] w + 80 = 180 [/tex]

Subtract 80 from both sides

[tex] w + 80 - 80 = 180 - 80 [/tex]

[tex] w = 100 [/tex]

The value of w = 100°

Answer:

[tex] 23x - 10 [/tex]

Step-by-step explanation:

To the find the equivalent of [tex] 9(2x - 3) + 5x + 17 [/tex], evaluate the expression. Start by opening the bracket.

[tex] 9*2x - 9*3 + 5x + 17 [/tex]

[tex] 18x - 27 + 5x + 17 [/tex]

Pair like terms

[tex] 18x + 5x - 27 + 17 [/tex]

[tex] 23x - 10 [/tex]

The equivalent of [tex] 9(2x - 3) + 5x + 17 [/tex] is [tex] 23x - 10 [/tex]

Answer:

y = 17.5

Step-by-step explanation:

y = kx

→ Substitute in the values

5 = 2k

→ Divide both sides by 2 to isolate k

k = 2.5

⇒ y = 2.5x

→ Substitute in x = 7

y = 2.5x ⇔ y = 2.5 × 7 ⇔ y = 17.5

Answer:

D) 972

Step-by-step explanation:

2160*9/20 = 19440/20

= 972

Answer:

48 girls tried out for the team.

Step-by-step explanation:

The phrase "2 out of every 9" can be written as the fraction 2/9. To find our answer, all we have to do is 2/9 * 216 = 48 girls.

Answer:

Hey there!

11 meters is about 36 feet tall.

Let me know if this helps :)

Answer:

you answer is :33.8328

Answer:    The x intercept for Line A is 2  and the x-intercept for line B is -6.

Step-by-step explanation:

Line A uses the equation   y = -1/2x + 1   and to find the x intercept y has to be zero so set the equation equal  0 and solve for x.

0 = -1/2x + 1       Subtract one from both sides

- 1               -1  

-1 = -1/2x              divide both sides by -1/2

x = 2    

So the x intercept for A is   2  

For Line B it already indicates the  x intercept because that is when y is 0. So when  y  is  0  then x is -6.

x = 21

y = 8

=========================================================

Explanation:

Since the y is giving you trouble, I recommend ignoring it for now. Luckily we don't need the y value at first.

Let's solve for x.

The two angles (10x-61) and (x+10) form a straight angle which is 180 degrees.

So,

(10x-61) + (x+10) = 180

10x-61 + x+10 = 180

11x - 51 = 180

11x-51+51 = 180+51 .... adding 51 to both sides

11x = 231

11x/11 = 231/11 .... dividing both sides by 11

x = 21

Since x = 21, the upper right angle (10x-61) is equal to

10x-61 = 10*21-61 = 210-61 = 149

-------------

We can now focus on the (18y+5) angle. This is set equal to 149 since vertical angles are congruent

18y+5 = 149

18y+5-5 = 149-5 ... subtracting 5 from both sides

18y = 144

18y/18 = 144/18 .... dividing both sides by 18

y = 8

--------------

Or we could add the angles (18y+5) and (x+10), set them equal to 180, and solve for y like that

(18y+5)+(x+10) = 180

18y+5 + x+10 = 180

18y+5+21+10 = 180 .... plug in x = 21

18y+36 = 180

18y+36-36 = 180-36 ... subtract 36 from both sides

18y = 144

18y/18 = 144/18 .... dividing both sides by 18

y = 8

We get the same result.

--------------

As a check, plugging y = 8 into 18y+5 should lead to 149

18y+5 = 18*8+5 = 144+5 = 149

This confirms the y value answer

Answer:

x=6

Step-by-step explanation:

We know that point C is in the middle of point A and point B.

That means that when these two equations are added they should be equal to the length of AB which is 41.

5x+3x-7=41

add 7 to both sides

8x=48

divide both sides by 8.

x=6

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question , the points are

A(13, 2) and B(7, 10)

The distance between them is

We have the final answer as

Hope this helps you

Answer:

B. Multiply each term in x - 12y = 2 by 4 and add it to the other original equation.

Step-by-step explanation:

The expression are two linear equation and can be solved simultaneously

[tex]x - 12y = 2------------------1[/tex]

[tex]-4x + 7y = 12----------------------2[/tex]

1. we need to multiply each term in eqn 1 by 4 and add it to the other

original equation(2).

[tex]4x - 48y = 8----------------3\\-4x + 7y = 12---------------2\\\\[/tex]

Adding both 3 and 2 we have

[tex]4x - 48y = 8----------------3\\-4x + 7y = 12---------------2\\\\\\[/tex]

2. once we have gotten the value of y

we then substitute it in any of the equations to solve for x

Answer:

360°

Step-by-step explanation:

The figure is irregular which means it must be completely rotated to have matching sides and vertices. A full rotation is equal to 360°.

Answer: 6/7

Step-by-step explanation: Since the Greatest common factor of 84 and 98 is 14, you divide both sides of 84/98 by 14 to get 6/7

Answer:6/7

Step-by-step explanation:The greatest common factor of both numerator and denominator is 14.So if you divide 84 by 14 you will get 6 and if you divide 98 by 14 you get 7.

Answer:

24min.

Step-by-step explanation:

he descends 0.5 feet per min. Its just like counting by 2's. I hope this helped!!

Answer:

17 minutes

Step-by-step explanation:

This equation can be expressed as .5m+3.5=12 where m = minutes. I put this in a graphing calculator but to solve this you can

12-3.5=8.5

8.5/.5 = 17

Answer:

The function is y = -6 / x.

Step-by-step explanation:

Since (-2, 3) belongs to the function, we know that x = -2, y = 3 is a solution to the function so when we plug those values in to solve for a, we get:

3 = a / (-2)

3 * (-2) = a / (-2) * (-2)

-6 = a so the function is y = -6 / x.

   Value of [tex]10^x[/tex] will be between 1 and 10.

 Given in the question,

If we have to find the range of the value of the number, substitute x = 0 and 1

[tex]10^0=1[/tex]

[tex]10^1=10[/tex]

  Therefore, value of [tex]10^x[/tex] will vary between 1 and 10.

Learn more,

https://brainly.com/question/19465964

Answer:

H

Step-by-step explanation:

Answer:

less than or equal to it hope this helps you!

Answer: Hi!

Alll of the follow are true except option 4, which states the absolute value of -93 is -93. This is not true! Absolute value will always be positive.

Hope this helps!

All of the given statements are true except |-93|=-93.

We need to identify the false statement from the given options.

The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value. The absolute value of a positive number is the number itself, that of a negative number is the number without a negative sign, and the absolute value of 0 is 0.

From option (A):

|93|=93 is true.\

From option (B):

-|93|=-93 is true

From option (C):

|-93|=93 is true

From option (D):

|-93|=-93 is false

Therefore, all of the given statements are true except |-93|=-93.

To learn more about an absolute value visit:

https://brainly.com/question/1301718.

#SPJ2

To build the fleet of ships, Astrid must consider each of the given rates (i.e.  the daily tons of wood, the sailors per ship, etc.). The available deliveries are enough to build ships that can accommodate at least 2100 sailors.

Given that:

Required quantities

[tex]Wood = 40\ tons[/tex]

[tex]Sailors = 300[/tex] per ship

Available quantities

[tex]Wood = 4\ tons[/tex] daily

[tex]Days = 100[/tex] at most

First, we calculate the total tons of woods Astrid can receive.

[tex]Total = Days \times Wood\ Available[/tex]

[tex]Total = 100 \times 4[/tex]

[tex]Total = 400\ tons[/tex] ---- in 100 days

Next, we calculate the number of ships that can be made from the 400 tons.

[tex]Ships = \frac{Total\ tons}{Wood\ Required}[/tex]

So, we have:

[tex]Ships = \frac{400}{40}[/tex]

[tex]Ships = 10[/tex]

This means that Astrid can build up to 10 ships

The number of sailors the ship can accommodate is:

[tex]Sailors = Ships \times Sailors\ per\ ship[/tex]

So, we have:

[tex]Sailors = 10 \times 300[/tex]

[tex]Sailors = 3000[/tex]

It means the 10 ships can accommodate 3000 sailors.

3000 sailors is greater than 2100 sailors.

So, we can conclude that she can build enough ship for the 2100 sailors.

Read more about

https://brainly.com/question/17174491

Answer:

280 tons

Step-by-step explanation:

:)

Answer:

The expression consists of 2 terms and each terms contains 3 factors.

Step-by-step explanation:

Given the expression (abc)+(def), the description of the expression is as shown:

The expression consists of 2 terms and each terms contains 2 factors.

Terms are expressions connected by mathematical signs such as addition and subtraction sign. As we can see from (abc)+(def), 'abc' and 'def' are separated by addition signs therefore both abc and def are the "terms" of the expression.

Factors are variables connected using the multiplication or bracket signs. As we can see, each term contains 3 factors. Looking at the first term 'abc', we can see that there are 3 variables/factors (a, b and c) multiplied together. This shows that they are connected by multiplication signs and same goes with 'def'.

Hence, the expression consists of 2 terms and each terms contains 3 factors.

The statements of expression.

As per the question, the statement which tells us about expression consists of 2 terms, and each term is 3 factors. As per the expression of the ABC  and DEF describes expression of 2 terms and each term contains 2 factors.

Hence the answer is 2 terms and 3 factors.

Learn more about the statement to describe.

brainly.com/question/14255123.

Answer:

1

Step-by-step explanation:

rectangular prism volume = Width * Height * Length

Width = 1.33

Height = .6

Length = 1.25

volume = 1

Answer:

Vertex =(5,7)

Latus rectum = 2

Step-by-step explanation:

The general equation of a parabola can be expressed as x = a(y-h)²+k where 'a' is a constant and (h,k) is the vertex of the parabola.

Comparing the general equation with the given equation x= 1/2(y - 5)² + 7, it can be seen that a = 1/2, h = 5 and k = 7. Hence the vertex of the equation is (5,7) on comparison.

The length of the latus rectum of a parabola is 4a

On comparing the equation with the general equation, a = 1/2

Length of the latus rectum = 4(1/2)

Length of the latus rectum = 4/2 = 2

Hence the vertex is (5,7) and the length of latus rectum is 2