A gopher dug holes in opposite corners of a rectangle yard. If the yard is 7 meters by 6 meters how far will the gopher have run to get from one of its holes to the other. round if necessary to the nearest tenth. use the formula a square plus b square equals c square

Answers

Answer 1

Answer: 9.2 meters

Step-by-step explanation:

Hi, since the situation forms a 2 right triangles (see attachment) we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse (x) of each triangle (in this case the distance between the opposite corners) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 6^2 + 7^2  

c^2 = 36+49

c^2 = 85

c = √85

c = 9.2 meters

Feel free to ask for more if needed or if you did not understand something.  

A Gopher Dug Holes In Opposite Corners Of A Rectangle Yard. If The Yard Is 7 Meters By 6 Meters How Far
Answer 2

Final answer:

To find the distance the gopher needs to run between the holes in a rectangle yard, use the Pythagorean Theorem with the given sides (7 meters by 6 meters) to calculate the diagonal distance of approximately 9.2 meters.

Explanation:

A gopher dug holes in opposite corners of a rectangle yard. If the yard is 7 meters by 6 meters, how far will the gopher have run to get from one of its holes to the other, rounded if necessary to the nearest tenth? Use the formula a square plus b square equals c square.

Identify the two sides of the rectangle as a and b, where a = 7 meters and b = 6 meters.

Apply the Pythagorean Theorem: a² + b² = c². Substitute the values: 7² + 6² = c².

Calculate the distance: 7² + 6² = c² ➔ 49 + 36 = c² ➔ 85 = c² ➔ c ≈ √85 ≈ 9.2 meters. So, the gopher would need to run approximately 9.2 meters to move between the holes.


Related Questions

What is the value of the expression below when n equals 5.4? n - 2.5 + 4.7n

Answers

Answer:

28.28

Step-by-step explanation:

5.4-2.5+4.7(5.4)=

2.9 + 25.38=

28.28

Hope this helps!

Which point is located at (2, 3)?
1 A
2 B
3 C
4 D

Answers

Answer:point (2,3) is located at point C

Hi abycflo! Please read the following :)

We know that the first coordinate location given should always be on the x-axis.

The x-axis is the line you can see that is going horizontal or sideways.

So we know that we have to line up 2 on the x-axis and we immediately know its going to be either B or C.

The y-axis is the line going up or vertically. So on the 3 for the y-axis, we found out that our answer is

C, given from the following coordinates given we can affirmatively say its C.

P.S

Have an Amazing day abycflo! I Hope this Helps and Good Luck!

~Faker/Tosrel

Help me So the question is Enter the value for X that makes the equation -2x + 10 + 4x = 70 true

Answers

Answer:

30

Step-by-step explanation:

70-10 is 60 because you take it to the other side

then 4x minus 2x is 2x

then 2 divided by 60 is 30

so x=30

hope this helps!

Answer: X = 30

-2x + 10 + 4x = 70

-2x + 4x + 10 = 70

2x + 10 = 70

so the result is X = 30

its true

hope i helped  

What is 4.5a+7+3.5a+2

Answers

Answer:

8a+9

Step-by-step explanation:

You have to add the like terms.

4.5a+7+3.5a+2

4.5a+3.5a=8a

7+2= 9

8a+9

You pick a card at random. Without putting the first card back, you pick a second card at random.
(the numbers below are the cards)

6
7
8
9


What is the probability of picking a 7 and then picking a number greater than 7?

Write your answer as a fraction or whole number.

Answers

The probability of you picking 7 is 1/4 because there are 4 cards, and the probability of getting a card greater than 7 would be 2/3 (if you already picked 7) if not it would be 2/4, but I’m assuming it mean that you picked seven and now you’re trying to pick a higher card so i would go with 2/3

The probability of picking a 7 and then picking a number greater than 7 is 1/6.

What is probability?

Probability is the likelihood of the occurrence of an event.

Sample space = {6 or 7 or 8 or 9}

So, favorable outcomes =1( we need 7)

Total outcomes =  {6, 7, 8, 9} i.e. 4

So, the probability of picking a 7 in the first pick = 1/4

After the first pick, Sample space =  {6 or 8 or 9}

So, favorable outcomes =2( we need 8>7 or 9>7)

Total outcomes =  {6, 8, 9} i.e. 3

So, the probability of picking an 8 or 9 in the second pick = 2/3

Total probability = 1/4 * 2/3

Total probability = 1/6

Hence, the probability of picking a 7 and then picking a number greater than 7 is 1/6.

To get more about probability visit:

https://brainly.com/question/24756209

Convert the angle 5 radians to degrees, rounding to the nearest 10th.

Answers

Final answer:

To convert 5 radians to degrees, multiply by 57.3 and round to the nearest 10th, which results in 286.5 degrees.

Explanation:

To convert the angle of 5 radians to degrees, you use the conversion factor that states 1 radian equals approximately 57.3 degrees. By multiplying 5 radians by this conversion factor, you can find the equivalent measure in degrees.

Calculation is as follows:

5 radians * 57.3 degrees/radian = 286.5 degrees

After rounding to the nearest 10th, the angle in degrees is 286.5°.

To convert radians to degrees, we use the conversion factor 1 radian = 57.3°. So, to convert 5 radians to degrees, we multiply 5 by 57.3, which gives us 286.5 degrees. Rounding to the nearest 10th, the answer is 286.5 degrees.

What is the removable discontinuity

Answers

Final answer:

A removable discontinuity is a type of discontinuity in a function where the function can be redefined at that point to make it continuous. It usually occurs when there is a hole or gap in the graph of the function.

Explanation:

A removable discontinuity, also known as a removable singularity, is a type of discontinuity in a function where the function can be redefined at that point to make it continuous.

The discontinuity is 'removable' because it can be 'filled in' or 'repaired' to make the function continuous.

This usually happens when there is a hole or gap in the graph of the function.

For example, consider the function f(x) = (x - 2)(x + 1) / (x - 2).

This function has a removable discontinuity at x = 2. If we simplify the function by canceling out the (x - 2) terms, we get f(x) = x + 1.

The simplified function is continuous at x = 2, even though the original function had a hole in the graph at that point.

It is important to note that not all discontinuities are removable.

There are other types of discontinuities, such as jump discontinuities and infinite discontinuities, which cannot be repaired to make the function continuous.

f(x) = x + 2x2 - 4x - 3
Over the interval x = 0 to x = 2
Which function has the most x-intercepts?

Answers

It is C I believe have a great day

Determine if the statistical measure is used as a measure of center or a measure of variability


Measures of Center /
Measures of Variability

Range
interquartile range (IOR)
mean absolute deviation (MAD)
median
mode
mean

Answers

Answer:

you will find the answer in the “step-by-step explanation”

Step-by-step explanation:

Measures of center:

* Median.

* Mean.

* Mode

Measures of variability:

* Mean absolute deviation ( MAD ).

* Interquartile range ( IQR ).

* Range.

            hope this helps

The graph below shows the hours students spent studying and their science test scores.

Hours Spent Studying vs. Science Test Scores
A graph has hours spent studying on the x-axis and test score on the y-axis. A line has a regression equation of y = 3.1 x + 40.5.

A student gets a score of 70 on the test. Based on the trend line in the scatter plot, how much time did the student spend studying?
3.1 hours
4.5 hours
9.5 hours
40.5 hours

Answers

Answer:

  (c)  9.5 hours

Step-by-step explanation:

The equation of the trend line predicts a score based on study hours. Here, we're asked for the inverse relation: finding a number of study hours based on a given score.

Inverse relation

We can solve the equation for x in terms of y:

  y = 3.1x +40.5

  y -40.5 = 3.1x . . . . subtract 40.5

  (y -40.5)/3.1 = x . . . . divide by the coefficient of x

This tells us the number of hours spent studying for a particular score.

Application

Using y=70, we find the number of study hours to be ...

  x = (70 -40.5)/3.1 = 29.5/3.1 ≈ 9.516 ≈ 9.5

The student spent about 9.5 hours studying.

You flip two pennies 24 times and record the results. Use the table to find the experimental probability of NOT tossing two tails.
a. 5/24
b. 1/6
c. 19/24
d. 5/8

Look at the attached image and then answer...

Answers

The answer would be C, since 15+4= 19 and theres 24 total flips.


At a small private college, 9/20 of the students are female. If there are 2,160 female students,
how many students are male?
A. 1,188
B. 2,640
C. 2,040
D. 972

Answers

Answer:

2,640

Step-by-step explanation:

To find the number of male students at the college, calculate the total number of students, then subtract the number of female students. The correct answer is option B: 2,640.

To find out how many male students are at the small private college, first, we need to determine the total number of students.

Since 9/20 of the students are female and there are 2,160 female students, we can set up a proportion to solve for the total number of students:

Since 9/20 represents the female students, 11/20 represents the male students.

Divide the total number of female students (2,160) by 9/20 to find the total number of students, which equals 4,800.

Subtract the total number of female students from the total number of students to find the number of male students, which equals 2,640.

Therefore, the answer is option B: 2,640.

complete the identity sin(2θ) sin(4θ) cos(2θ) cos(4θ) = ?

Answers

Answer:

Step-by-step explanation:

Factor the left hand side as a difference of squares:

(

cos

2

θ

+

sin

2

θ

)

(

cos

2

θ

sin

2

θ

)

=

cos

2

θ

sin

2

θ

Apply the pythagorean identity  

cos

2

θ

+

sin

2

θ

=

1

:

1

(

cos

2

θ

sin

2

θ

)

=

cos

2

θ

sin

2

θ

cos

2

θ

sin

2

θ

=

cos

2

θ

sin

2

θ

L

H

S

=

R

H

S

Hopefully this helps!

Which of the following relations is a function?
A.
(2, 1), (-2, 4), (-5, 1), (2, -5)

B.
(-5, 4), (-2, 6), (-5, 3), (7, 2)

C.
(-5, 1), (-2, -5), (2, 5), (7, 1)

D.
(-5, 1), (-2, 4), (2, -5), (-2, 6)

Answers

Answer:

the answer is C

Step-by-step explanation:

Which of the following functions is equal to cos(90 - a)
A. Sec(a)
B. Tan(90 - a)
C. Csc(90 - a)
D. Sin (a)

Answers

Answer:

i think C

Step-by-step explanation:

Answer:

It's D sin(a)

Step-by-step explanation:

Which represents the solution(s) of the equation x2 = 64?
A) x =
8
Eliminate
B) x = ±
8
C) x = −
64
D) x = ±
64

Answers

Answer:

A) x=8

Step-by-step explanation:

it can not be B because -8^2 = -64. it can't be either C or D because 64^2 = 4096 and doesn't equal 64.

Answer:

A

Step-by-step explanation:

Dean's class took a field trip to the art museum. They left school at 11:45 A.M. It took them 45 minutes to drive to the museum. They stayed at the museum for 1 hour and 30 minutes. What time was it when Dean's class left the museum?

Answers

Answer:

2:00 p.m.

Step-by-step explanation:

driving to the museum is 12:30

then they sped 1 hour and 30 minutes

If the perimeter of a square is 14d+28 centimeters, what is the length, in centimeters, of each side of the square?

Answers

Answer:

Each side is (7/2d +4) cm

Step-by-step explanation:

The perimeter of a square is given by

P = 4s  where s is the side length

14d +28 = 4s

Divide each side by 4

14d/4 +28/4 = 4s/4

7/2d +7 = s

Each side is (7/2d +4) cm

Can someone please help me

Answers

The first error was made in step 1

The correct quotient should be 31

Explanation: I sent a picture below showing how to do long divison, I was not able to do it on paper, sorry.

I hope this helps!

What is 18.706 rounded to the nearest hundredth

Answers

Answer:

18.71

Step-by-step explanation:

Need Help ASAP!!!!!!!!!!!!!!!!!!!!

Answers

The answer is is C, hope this helps

Answer:

C. 76 movies

Step-by-step explanation:

1/4 × m = 32 - 13

m/4 = 19

m = 19 × 4

m = 76 movies

Bailey tossed a coin 10 times. the results were 7 heads and 3 tails. What is the best comparison between the theoretical and experimental probability of tossing heads?

Answers

Answer:

The theoretical probability is greater than the experimental probability.

The best comparison between the theoretical and experimental probability of tossing heads: The theoretical probability is equal to the experimental probability.

The theoretical probability of tossing heads can be calculated as the ratio of the number of favorable outcomes (heads) to the total number of possible outcomes (heads or tails). In a fair coin, this probability is 0.5 or 50%.

The experimental probability is determined by the outcomes observed in the experiment. In this case, Bailey observed 7 heads out of 10 tosses, which gives an experimental probability of 7/10 =0.7 or 70%.

Comparing the theoretical probability (0.5 or 50%) with the experimental probability (0.7 or 70%), we find that they are not exactly the same but quite close.

Given that the experimental probability is based on a limited number of trials (10 tosses), it may not perfectly match the theoretical probability. However, with more trials, the experimental probability tends to approach the theoretical probability.

Hence, the best comparison between the theoretical and experimental probability of tossing heads is that they are approximately equal.

Consider the equation 2/x= 5/2x-1. Solve for x

Answers

Answer:

x=1.11651513…,−0.71651513…

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

A.P.E.X.

Jennifer buys a block of clay for an art project. The block is shaped like a cube with edge lengths of 12 inches.
a. Jennifer uses one piece of the cube to make spheres that have a diameter of 4 inches. How many spheres can she make?
b. Jennifer wants to keep the other piece of the cube for a future project. What is the area of the newly exposed surface from the wire cut?

Answers

Answer:

Volume of block Jennifer bought:

V = side^3 = 12 x 12 x 12 = 1728 (in3)

Volume of sphere Jennifer wanted to make:

V = (4/3) x pi x radius^3 = (4/3) x pi x (4/2)^3 = 33.5 (in3)

a, The number of spheres she can make:

N = 1728/33.5 = 51.58 = ~51

b, The area of remaining clay after she made a sphere:

A = 1728 - 33.5 = 1694.5 (in3)

Hope this helps!

:)

What the square area with side length of 3/5 units

Answers

Answer:

9/25 units^2

Step-by-step explanation:

AREA(Square) = side * side = 3/5 *3/5 = 9/25 square units

Answer: 9/25 units ^2 :)

Please help, thanks ·ω·

Answers

Answer:B, D, E

Step-by-step explanation:

What would the equation be? First to ACTUALLY answer will be marked brainliest!! Plz and thank you

Answers

Answer:

y = 0.50 + 8

Step-by-step explanation:

The slope is .50 and the y-intercept is 8

y-int is the initial cost before adding toppings.

slope represents the cost of each topping.

What is the value of x in log2 (x) – 3 = 1?

Answers

Answer:

2^2

Step-by-step explanation:

2^2-3=1

Hope this helps!

Answer:

it is 2^2

Step-by-step explanation:

i did the iready diagnostic

In the diagram, line x|| line y. Find the angle measures below.

Answers

Answer:

<1 = 95

<2 =85

Step-by-step explanation:

<1 = 95

They are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

<1 + <2 = 180  since they form a straight line

95+ <2 =190

Subtract 95 from each side

95-95+<2 =180-95

<2 =85

Help please I need a quick answer

Answers

Answer:

I think its C

Step-by-step explanation:

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