Dionne plans to change her yard and would like at least part of the picnic table to be shaded by the umbrella at mid-day.
Determine whether each option below would result in any part of the picnic table being shaded by the umbrella at mid-
day. Explain how you know.
• Option A: Rotate the picnic table 90° clockwise about the point (5, 0).
Option B: Move the umbrella to a location 4 feet to the left and 1 foot down.
• Option C: Move the umbrella to a location 3 feet down and 2 feet to the left.
Enter your answers and explanations in the space provided

Answers

Answer 1

Answer:

Option C

Step-by-step explanation:

Refer to attached picture

At midday the shaded area is going to be under the umbrella only, therefore the option moving the table under the umbrella will be the answer.

So the options:

Option A: Rotate the picnic table 90° clockwise about the point (5, 0)

No. The table has dimensions of 4x3, after this rotation the distance between the umbrella and the table will be zero but the table won't go under the umbrella.

Option B: Move the umbrella to a location 4 feet to the left and 1 foot down.

No. The movement will bring the umbrella down by one feet and no intersections.

Option C: Move the umbrella to a location 3 feet down and 2 feet to the left.

Yes. By moving the umbrella down by 3 feet and to the left by 2 feet, it will cover some part of the table. The lowest point of the umbrella will have the coordinate of (5, 1). So this is the correct option
Dionne Plans To Change Her Yard And Would Like At Least Part Of The Picnic Table To Be Shaded By The

Related Questions

What is depicted as the yellow arrows in the following image? (provide a definition) Which makes a bigger current-faster moving electron or slower moving​

Answers

Answer:

In the image, we can see that the arrows go from the negative pole to the positive pole.

This image then represents the flow of electrons in the situation (Remember that we define current as the flow of "holes", so current is usually defined in the opposite direction than the flow of electrons).

Second question:

In a current, the electrons usually do not move really fast (in average velocity).

Now, the current flowing in a given material will depend mostly on:

The area of the material (a cable with larger diameter can have a larger electricity than a thin cable) and the material itself (there are some materials that are really good conductors, and there are materials that are bad conductors)

Now, this concept of good/bad conductor can be thought as follows,

A bad conductor has a lot of particles (for example electrons in the inner energy levels) in the way of the flow of electrons, and when the electrons want to move, they may interact with those particles, and then the flow of electrons is diminished.

For a good conductor, those particles do not interact, and there are not a lot of these particles. (Also good conductors have more electrons in the valence level, so there are more electrons that can flow in the material).

Another important factor is the temperature of the material, we know that when we increase the temperature of a material, the particles of this material will have an increment in its kinetic energy, then those particles will be moving a lot, and there is a larger possibility that there will be an interaction with the flowing electrons.

In the case where the object is really cold, the kinetic energy of the particles will be small, and these will be more "ordered", which helps with the current flow.

Then we can conclude that the electricity does not really depend on the speed of the electron, it depends more of the material of the conductor and the cross-section area.

Rewrite 12x-6y=48 in slope intercept form. Then identify the slope and initial value from your equation.

Answers

Slope = 2

x-intercept = 8/2 = 4

y-intercept = 8/-1 = -8.00000

answer : 8.00000

Answer: y=2x-8

Slope 2 initial value I’m guessing is the y intercept which is -8

Step-by-step explanation:

12x-6y=48

-12x -12x

-6y=-12x+48

Divide by -6

Y=2x-8

-5/6x = -10/3
I’m dumb at math so yeah thanks if you help :)

Answers

Answer:

x = 4

Step-by-step explanation:

-5/6x = -10/3

x = -10/3 / -5/6

x = 4

Topic: algebraic equations

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

HELP ME QUICKLY!!!!!!!!!!!!!!!It takes Luis 15
minutes to read 3
pages. How long
Will it take him to
read 90 pages?

Answers

Answer:

450 min hope this helps!

Step-by-step explanation:

Answer

It will take him 450 minutes to read 90 pages.

Explanation

Luis can read 3 pages every 15 minutes.

You are trying to find how long it will take him to read 90 pages.

Set up this ratio.

[tex]\frac{15}{3} =\frac{x}{90}[/tex]

To get from 3 to 90, you multiply by 30. Do the same thing to 15.

15 times 30 is 450.

It will take Luis 450 minutes to read 90 pages.

whats the answer to this MARKING BRAINLIEST

Answers

Answer:

400 square feet

Step-by-step explanation:

20 x 20 = 400

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

400 square feet

Step-by-step explanation:

Area = length x width

A = lw

A = 20 x 20

20 x 20 = 400

Area = 400 ft^2

each loaf of pumpkin bread calls for 3/4 cups of raisins. About how many loaves can be made from 10 cups of raisins?

Answers

Answer: You can have about 13 loafs of pumpkin bread.

Step-by-step explanation: 3/4 is the same as 0.75 so you will add 0.75 to 0.75 13 times

0.75+0.75+0.75+0.75+0.75+0.75+0.75+0.75+0.75+0.75+0.75+0.75+0.75=13.33.

13.3 is not a whole number so you will say 13.

30 POINTS PLEASE HELP Solve 2 (e)^3t =10 for t. Round to three decimal places

Answers

Answer:

jjk

Step-by-step explanation:

,,45

Compare using >, = or <.
-3_-5

Answers

Answer:

-3>-5

Step-by-step explanation:

Jimmy borrowed $450 to start a lawn-mowing business. He charges $35 per lawn and it costs him $8 in operating costs per lawn.

What is the y-intercept of the line representing Jimmy's costs?

Answers

Answer: $450

Step-by-step explanation:

Given that:

Amount borrowed = $450

Amount charged per lawn = $35

Operating cost per lawn = $8

Jimmy's cost (C(x)) :

Amount borrowed + operating cost

If x lawns are mowed :

$450 + $8 per lawn

$450 + $8x

C(x) = 450 + 8x

Intercept (value of y when x = 0

Value of C(x) ; when x = 0

C(x) = 450 + 8(0)

C(x) = 450 + 0

C(x) = 450

The basketball court is 94 feet long how many inches is the length of the court

Answers

Answer:

1,128

Step-by-step explanation:

94 x 12 = 1,128

what hy7h7yh

Answer:

1128 inches.

Step-by-step explanation:

12 inches = 1 feet

94 * 12 = 1128

Write the following as a base-10 numeral in standard form.
4 x 105 + 2 x 102 + 7 =

Answers

9514 1404 393

Answer:

  400207

Step-by-step explanation:

Any calculator can form this sum for you. It is ...

  4×10^5 +2×10^2 +7

  = 400,000 +200 +7

  = 400207

Which of the following could be the equation of a line parallel to the line y =4

Answers

Answer:

Since slope of line y = 0 and y = 4

Step-by-step explanation:

Given:

y = 4

Computation:

Equation of slope;

y = ax + c

So,

y = (a)(0) + 4

Since slope of line y = 0 and y = 4

Answer:

y=0

Step-by-step explanation:

Write an equation for the line parallel to y=2x+6 that contains P(-7,-4)

Answers

Answer:

This is the best i got

Step-by-step explanation:

Can someone please help me

Answers

Answer: (2,-4) is point a

Step-by-step explanation: when looking for a plotted point, the x axis can drop down to negatives since they y axis is negative

What is the value of the expression when a = 5 and b = 2?

2a+b−3


6

9

11

24

Answers

Answer:

the answer is c because 2 *5 is 10+2 is 12-3 is 9

Step-by-step explanation:

The answer is 9. S sksjsbdgdksn

Enter the value of the underlined digit. 7.806 (7 is under lined)​

Answers

Answer:

Ones place

Step-by-step explanation:

Hope this helped, Have a Wonderful Day/Night!!

6 is subtracted from a number. The result is divided by 4. This result is added to 10 to give 30. What is the number?
A. 4
B. 80
C. 86
D. 16

Answers

Answer: 86

Explanation: I started with 30 then reversed everything so I subtracted 10, multiplied by 4, and then added 6, and got the number 86. Then I checked the answer by subtracting 6 from 86, then divided it by 4, added it to 10, and the final number equaled 30.

I hope this is the answer you were looking for! I’m so sorry if it’s wrong!

Find the area to the right of the z-score 1.39 and to the left of the z-score 1.53 under the standard normal curve.1.2 1.3 1.4 0.00 0.01 0.02 0.03 0.8849 0.8869 0.8888 0.8907 0.9032 0.9049 0.9066 0.9082 0.9192 0.9207 0.9222 0.9236 0.9332 0.9345 0.9357 0.9370 0.9452 0.9463 0.9474 0.9484 0.9554 0.9564 0.9573 0.9582 0.04 0.05 0.06 0.070.08 0.09 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.5 1.6 1.7 Use the value(s) from the table above.

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is  [tex]P( 1.39 < z < 1.53 ) = 0.0193[/tex]

Step-by-step explanation:

From the question we are told to obtain the area to the of the z-score 1.39 and to the left of the z-score 1.53, this is mathematically represented as

        [tex]P( 1.39 < z < 1.53 ) = P( z < 1.53 ) - P( z < 1.39 )[/tex]

From the z table on the question the area under the normal curve to the left corresponding to 1.53 and  1.39  is

       [tex]P( z < 1.53 ) = 0.9370[/tex]

and

      [tex]P( z < 1.39 ) = 0.9177[/tex]

So

     [tex]P( 1.39 < z < 1.53 ) = 0.9370 - 0.9177[/tex]

=>  [tex]P( 1.39 < z < 1.53 ) = 0.0193[/tex]

use the defintion of the derivative to find the derivative of the given function. f(x)= 5 square root of x

Answers

Answer:

The derivative of function [tex]f(x)=5\sqrt{x}[/tex] is [tex]\frac{5}{2\sqrt{x} }[/tex]

Step-by-step explanation:

We need to find derivative of the given function [tex]f(x)=5\sqrt{x}[/tex]

Finding the derivative:

[tex]\frac{d}{dx}(5\sqrt{x} )[/tex]

Using the rule (a.f)' = a(f)', taking out constant value 5

[tex]=5\frac{d}{dx}(\sqrt{x} )[/tex]

We know [tex]\sqrt{x} =x^{\frac{1}{2}[/tex] Replacing [tex]\sqrt{x}[/tex]

[tex]=5\frac{d}{dx}(x^{\frac{1}{2}} )[/tex]

Applying derivative rule: [tex]\frac{d}{dx}(x^a)= a.x^{a-1}[/tex]

[tex]=5\times\frac{1}{2}(x^{\frac{1}{2}-1} )\\=\frac{5}{2}(x^{-\frac{1}{2}} )\\=\frac{5}{2x^{\frac{1}{2}}}\\=\frac{5}{2\sqrt{x} }[/tex]

So, the derivative of function [tex]f(x)=5\sqrt{x}[/tex] is [tex]\frac{5}{2\sqrt{x} }[/tex]

The perimeter of a rectangle is 50 inches. The length of the rectangle is 10 inches. Which
method can be used to find w, the width of the rectangle?
Divide 50 by 2 and then add 10.
Solve for w in the equation 2 (W + 10) = 50.
Solve for w in the equation 2w + 10 = 50.
Divide 50 by the product of 10 and 2.

Answers

Answer:

B. Solve for w in the equation 2 (W + 10) = 50

Step-by-step explanation:

P = 50 inl = 10 inw = ?

Perimeter formula

P = 2(l + w)

Solving for w

50 = 2(10 + w)10 + w = 50/210 + w = 25w = 25 - 10w = 15

Option B is correct

Please help it’s due soon and I don’t wanna be even more behind, also I’ll mark brainliest

Answers

Answer:

B. (2, 2)

Step-by-step explanation:

The coordinate (2, 2) is the only thing they share in common, both lines intersect each other on that coordinate.

Lola scored 21 out of 27 points on a mid-unit quiz in math. Later she scored 66 points out of 80 on the unit test.
Did she increase or decrease the percent she scored from the quiz to the test?

Answers

lola increase her scoring from the quiz to the test

Answer:

Increased on the test more than the quiz

Step-by-step explanation:

If we do 21/27, we get 0.77777777777, as a percent, 0.77.

Then we do 66/80, and get 0.825, as a percent, 0.82.

We can already tell that she did better on the test, than the quiz.

Write an equation of the line with a slope of -7 and y-intercept of 1

Answers

Answer:

y=-7x+1

Step-by-step explanation: Hope this helps!!

Can i have brainliest?

What is 156x34=_____
Guys I need help
You can see I sucķ at
Multiplying or however you spell that
Thanks have a good time​

Answers

Answer:

5304

Step-by-step explanation:

hope it helped

Answer:

5304

Step-by-step explanation:

You can use the distributive property to solve for this

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Have a good day!

Complete the even numbers

Answers

Answer: change in y over Change in x(slope)

2. 3/3 or 1

4. 5/4

6.4/5

8.1/4

10.-2/-3

12.1/-3

14.-9/9 or -1

hii i need the answers for this, only the ones with the check mark. thanks !

Answers

Answer:

2.3/14              4.-4 3/8

6.1/11                 8. 1/10

10.1/8                 12. 4/7

14.-2  8/9           16. 22

18.10 2/3            20. 2 4/7

Step-by-step explanation:

I feel like it will take me forever to explain but you should head to a site like Khanacademy to explain the topic or perhaps if this is homework ( and I just gave you answers for it ;-;) you should ask your teacher

Hopefully I was helpful

Love yall!

The points (15,36) and (30,72) form a proportional relationship. Find the slope of the line through
the points. Then use the slope to graph the line.
The slope is
(Simplify your answer.)

Answers

Answer:

[tex]\frac{18}{5}[/tex]

Step-by-step explanation:

Given coordinates;

                     (15,36) and (30,72)

Unknown:

Slope of the line  = ?

Solution:

     (15,36) and (30,72);

  Slope is the rise divided by the run. To find the slope, we use the expression below;

   Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

y₁ = 36

y₂ = 72

x₁ = 15

x₂ = 30

  Insert the parameters and solve;

  Slope  = [tex]\frac{72 - 36 }{30 -15}[/tex]   = [tex]\frac{36 }{15}[/tex]

 Slope  = [tex]\frac{18}{5}[/tex]

A particle moves along the curve y = 3x2 + 1 in such a way that the y value is increasing at the rate of 3 units per second. At what rate is x changing when x=2

Answers

y = 3x² + 1

Differentiate both sides with respect to t :

dy/dt = 6x dx/dt

We're given that dy/dt = +3 units/second, so when x = 2 we find

3 u/s = 6 • 2 dx/dt

dx/dt = 3/12 u/s = 1/4 u/s

which means x is increasing at a rate of 1/4 units per second.

1953+1038please answer ............

Answers

Answer:

2991

Step-by-step explanation:

8.03 as a improper fraction

Answers

Answer:no

Step-by-step explanation:

Other Questions
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