Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60 meters ×80 meters. How much shorter is the root across the park than the route around its edges?

Pls help!!! It's due today in about 6 hours!!!!! I would also like a proper explanation instead of the answer itself!!!!

Answers

Answer 1

Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight,  we have to find the sum of length of both edges

Let [tex]R_E[/tex] be the distance of route around edges

[tex]R_E = 80+60 = 140\ meters[/tex]

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

So,

[tex]H^2 = P^2 + B^2[/tex]

In the given scenario

P = 60

B = 80

Now

[tex]H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters[/tex]

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

[tex]= 140-100 = 40\ meters[/tex]

Hence,

The route across the park is 40 meter shorter than the route around its edges.


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Write z = 5 + 2i as an ordered pair in an Argand diagram.

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Answer:no hablo espanol

Step-by-step explanation:

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To find the area of a parallelogram, multiply the base by the height. Remember, the formula is A= B * H. So, your base is 13.5. Then, your height is 18. Finally, You multiply the base and height, and your answer should be 243 in. sq.

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21%, .262, 26.8%, 2 and 2/5

(1 + 2/3)*(1+2/5)*(1+2/7)*(1+2/9)

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Answer:  11/3 or 3.6 or 3 2/3

Step-by-step explanation:

All you have to do is simplify the expression

a sports store sells three different packs of tennis balls. which pack is the best to buy? 4 sleeves for 11.49, 6 sleeves for 16.79, 9 sleeves for 22.99​

Answers

Answer:

9 sleeves for 22.99

Step-by-step explanation

The first pack has a unit rate of $11.49/ 4 balls

=$2.8725

The second pack has a unit rate of $16.79/6balls

=$2.798 per ball

the third pack has a unit rate of $22.99/9balls

=2.554

So, I would definitely go for the third pack since it has the least cost.

Sonia has $40 in her lunch account and pays $2 each day to
eat lunch.
How long till her account has no money left?

Answers

Answer:

20 days

Step-by-step explanation:

Because to find the number of days that Sonia will have you have to divide total money ($40) by money each day ($2). And $40 divided by $2 is 20, so 20 days is the answer.

Have a most wonderfull day, and I hope you likeee the answer....so yep.

Utop you answer questions 8:10. Each unit on the graph represents 0.75 miles Round
answers to the nearest font when necessary
GROCERY STORE
JIM'S HOUSE
20
19
18
17
10
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
BANK
MALL
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
6. How many miles is Jim's house from the
mali?
7. Is Jim's house closer to the mall or the
bank? How many miles closer is it?
8. Jim is at his house, and his car has 25
miles until it runs out of goo Would Jim bo
able to make it from his house to the grocery
store and back without stopping for gos?
Explain
9. Jim loft his house and drove to the bank
On his way back home, Jim's wife called
when he was exactly half way home. How
many miles had Jim traveled when his wife
called?
10. Jim is hoping that a park will be built within 5 miles of his house. If a park is built at the
coordinates (12, 10), does that meet Jim's criteria? Explain.
Moreovering the Middle LLC, 2016
10
PRB

Answers

Answer:

6. 11.3 Miles

7. 1.5 Miles

8. No he would need 26 Miles , he only has 25 Miles.

9. 11.25 Miles

10. Not really it slightly goes over by about .80

Answer:

6: 15miles

7: 17miles

8: No, because just by going to the grocery is 13miles (times2) that's 26

9: 11.2 (not sure)

10: No, he said 5miles, the park is 5.8miles away from his house. (you don't have to but rounded is 6miles so he cant reach the park)

Step-by-step explanation:

Use the formula of a²+b²=c² (Pythagorean theorem)

I NEED HELP ASAP PLEASE

How do u write

A number is a maximum of twelve

Answers

Answer:

Step-by-step explanation:

4x3 is the max of 12

Round to two decimal points

Answers

answer is 10.82
use pythagorean theorem

Pls help me I don't understand this..... I will mark you as brainliest... the first one who answers

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Answer:

it is the first answer because it want you to roll 5 first try

Simplify fully 5x^2 x 3y^4 x 2x x y^3

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answer is 30x^3y^7

i hope this helps!

Can somebody plz help solve for each question what x =?(only if u know how to do it) thanks :)

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD!!

Answers

Answer:

7)x=11

8)x=16

9)n=12

10)m=13

11)n=8

12)m=3

Step-by-step explanation:

Answer:

7= 11. 8=16. 9=12. 10=13 11=8. 12=3

Step-by-step explanation:

7= 9+2=11

8=12+4=16

9=9+3=12

10=8+5=14

11=7+1=8

12=3+0=3

please help! 30 points !!

Answers

Answer:

1. C

2. C

Step-by-step explanation:

1. 5x+12=57

Subtract 12 from both sides

5x=45

Divide both sides by 5

x=9

2.  7-4x=12-3x

Combine like terms =

-4x+3x=-12-7

x=-12-7

x=19

Pls help me ASAP!

Evaluate the following

a: |8| - 9 =
b: |8 - 9| =

Answers

Answer:

a = -1

b= 1

Step-by-step explanation:

8's absolute value is 8, so 8 - 9 is -1 but 8-9 = -1 and since the answer is in the absolute value bars, -1's absolute value is 1, so the answer will be 1

but in a, only 8 is in the absolute value bars, not the complete answer

What is the difference between perimeter and area of polygons?

Answers

Answer: The perimeter is when you add all of the sides together, and the area is when you multiply the sides together

Step-by-step explanation:

Select the correct answer.
What is the solution to this system of equations?
3x+y=17
x+2y= 49

OA. It has no solution,
B.
It has infinite solutions.
OC. It has a single solution: x = 15, y= 17.
OD.
It has a single solution: x= -3, y = 26.

Answers

Answer:

one solution:  x = -3,  y = 26

Step-by-step explanation:

3x + y = 17

x + 2y = 49

If you multiply the first equation by -2 and then add you will eliminate the 'y' term

-2(3x + y) = -2(17)

  -6x - 2y = -34

+    x + 2y = 49

   -5x = 15

     x = -3

-3 + 2y = 49

2y = 52

y = 26

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Answers

Answer:

4 more students

Step-by-step explanation:

10% of 40 is 4, since the membership went up by 10% it is clear that there are 4 more students that joined the chess club.

Answer:

10/100*40

=4 more students joined the club

Step-by-step explanation:


[tex] \sqrt{7 \times \frac{1}{9} } - \sqrt[3]{ \frac{297}{11} } [/tex]

Answers

Step-by-step explanation:

[tex] \sqrt{7 \times \frac{1}{9} } - \sqrt[3]{ \frac{297}{11} } \\ = \sqrt{ \frac{7}{9} } - \sqrt[3]{27} \\ = \frac{ \sqrt{7} }{3} - 3 \\ = \frac{ \sqrt{7} - 9}{3} [/tex]

Will Mark Brainliest

Solve each system by elimination. Show your work

3х – 10 y = 14
3х – 9y = 15

Answers

Answer:

subtracting both equations

3x-10y=14

3x-9y=15

- - =-

_________

0-y=-1

y=1

then putting the value of y in first eqn

3x-10×1=14

3x=24

x=8

so x is 8and y is 1

Can someone help me find the solution?

Answers

Answer:

Solution: y=2

Given: f(x)=x-7and h(x) = 2x+3
Write the rule for f(h(x))
f(h(x))= 2x-7
f (h(x))= 2x-4
f(h(x))= 3x-4
f(h(x))= 3x -7

Answers

I have no idea math is so freaking hard x

please help me i don’t understand

Answers

9514 1404 393

Answer:

  2. chord theorem; t = 10.5

  3. chord theorem; x = 5

Step-by-step explanation:

For both of these problems, the relevant theorem is the "intersecting chord theorem", also referred to as the "chord theorem." It tells you the product of the lengths of the parts of one chord is equal to the product of the lengths of the parts of the other chord.

2. 20t = 10·21

  t = 210/20 . . . . divide by 20

  t = 10.5 . . . . . . . simplify

__

3. 10(x +4) = 15(x +1)

  10x +40 = 15x +15 . . . . . eliminate parentheses

  25 = 5x . . . . . . . . . . . . . subtract 10x+15

  5 = x . . . . . . . divide by 5

using f(x)=2x^2 and g(x)=3x+4. whats (g of f)(5)?
whats (f of g)(5)?​

Answers

Answer:

f(g(x)) = 722, and g(f(x)) = 154

Step-by-step explanation:

f(x) = 2x²

g(x) = 3x + 4

g(f(x)) = 3(2x²) + 4

g(f(5)) = 3(2 × 5²) + 4

g(f(5)) = 3(2 × 25) + 4

g(f(5)) = 3 × 50 + 4

g(f(5)) = 154

f(g(x)) = 2(3x + 4)²

f(g(5)) = 2(3 × 5 + 4)²

f(g(5)) = 2 × 19²

f(g(5)) = 2 × 361

f(g(5)) = 722

What is F.O.I.L??? (Math question)

Answers

First
Outer
Inner
Last

Answer:

F.O.I.L is a method of solving quadratic equations.

P.S, i love the pics.

Plz mark brainliest!!

rewrite in simplest terms 5g-4(-0.5g+0.9)

Answers

in simplest terms, you get 7g - 3.6

Please help me I will give you Brainly

Answers

Answer:

(- 1, 4 )

Step-by-step explanation:

Given the 2 equations

3x + 4y = 13 → (1)

2x - 2y = - 10 → (2)

Multiplying (2) by 2 and adding to (1) eliminates the term in y

4x - 4y = - 20 → (3)

Add (1) and (3) term by term to eliminate y, that is

7x + 0 = - 7

7x = - 7 ( divide both sides by 7 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (1)

3(- 1) + 4y = 13

- 3 + 4y = 13 ( add 3 to both sides )

4y = 16 ( divide both sides by 4 )

y = 4

solution is (- 1, 4 )

use the quotient rule to find the derrivatives of 3/x^2

With full process ​

Answers

Answer:

[tex]\displaystyle \frac{d}{dx} \Big [ \frac{3}{x^2} \Big ]=-\frac{6}{x^3}[/tex]

Step-by-step explanation:

We can use either the Power Rule or the Quotient Rule to find the derivative of 3/x².

Power Rule: [tex]\displaystyle \frac{d}{dx}[ x^n] = nx^n^-^1[/tex]  

Rewrite [tex]\displaystyle \frac{3}{x^2}[/tex] as [tex]\displaystyle 3\cdot \frac{1}{x^2}[/tex] which is equivalent to [tex]3\cdot x^-^2[/tex].

Now we can apply the power rule to 3x⁻². Subtract 1 from the exponent and multiply the coefficient by -2.

3(-2)x⁻³ = -6x⁻³

This can be rewritten as [tex]\displaystyle -\frac{6}{x^3}[/tex].

Quotient Rule: [tex]\displaystyle \frac{d}{dx} \Big [ \frac{f(x)}{g(x)} \Big ]=\frac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]

Substituting 3 for f(x) and x² for g(x), we get:

[tex]\displaystyle \frac{(x^2)(0)-(3)(2x)}{(x^2)^2}[/tex]

Simplify.

[tex]\displaystyle \frac{-6x}{x^4}[/tex]

Using exponent rules, we can rewrite this as:

[tex]-6x^1^-^4 = -6x^-^3[/tex]

This can be rewritten as [tex]\displaystyle -\frac{6}{x^3}[/tex], which is the same as what we got using the product rule.

Answer:

[tex]\displaystyle \frac{d}{d x}\left[\frac{3}{x^2}\right] = -\frac{6}{x^{3}}[/tex].

Step-by-step explanation:

Let [tex]f(x)[/tex] and [tex]g(x)[/tex] denote two functions of [tex]x[/tex]. Assume that [tex]g(x) \ne 0[/tex]. The quotient rule states that:

[tex]\displaystyle \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right] = \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2}[/tex].

In this question:

The numerator of the fraction is [tex]f(x) = 3[/tex] (a constant function.)The denominator of the fraction is [tex]g(x) = x^{2}[/tex].

Find [tex]{f}^{\prime}(x)[/tex] and [tex]{g}^{\prime}(x)[/tex].

Notice that the value of [tex]f(x)[/tex] is constantly [tex]3[/tex] regardless of the value of [tex]x[/tex]. By the constant rule, [tex]{f}^{\prime}(x) = 0[/tex].

For [tex]{g}^{\prime}(x)[/tex], consider the power rule:

if [tex]m[/tex] represents a rational number (such as [tex]2[/tex],) then by the power rule, [tex]\displaystyle \frac{d}{d x}\left[{x}^{m}\right] = m\, {x}^{m-1}[/tex].

Apply this rule to find [tex]{g}^{\prime}(x)[/tex].

[tex]\begin{aligned}{g}^{\prime}(x) &= \frac{d}{d x} \left[x^{2}\right] \\ &= 2\, x^{2 - 1} \\ &= 2\, x\end{aligned}[/tex].

Substitute [tex]f(x) = 3[/tex], [tex]{f}^{\prime}(x) = 0[/tex], [tex]g(x) = x^{2}[/tex], and [tex]{g}^{\prime}(x) = 2\, x[/tex] into the quotient rule expression to find [tex]\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right][/tex]:

[tex]\begin{aligned}&\; \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] \quad \genfrac{}{}{0em}{}{\leftarrow f(x) = 3}{\leftarrow g(x) = {x}^{2}} \\ =&\; \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right]\\ =&\; \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2} \\ =& \; \frac{0 \, x^2 - 3\, (2\, x)}{\left({x}^{2}\right)} \\ =&\; -\frac{6}{x^{3}}\end{aligned}[/tex].

Therefore, [tex]\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] = -\frac{6}{x^{3}}[/tex].

Find the perimeter??

Answers

Answer:

13 in

Step-by-step explanation:

just add all the numbers lol

Answer:

the perimeter of the triangle is 13[tex]in^{2}[/tex]

Step-by-step explanation:

All you have to do is add up all the sides together, but first we need to find a common denominator, and it can be 12

[tex]3\frac{1}{3}[/tex] = [tex]\frac{10}{3} = \frac{40}{12}[/tex] ( i multiplied them by 4 (numerator and denominator))

[tex]4\frac{1}{6} = \frac{25}{6} = \frac{50}{12}[/tex] ( i multiplied them by 2 (numerator and denominator))

[tex]5\frac{1}{2} = \frac{11}{2} = \frac{66}{12}[/tex] ( i multiplied them by 6 (numerator and denominator))

Now that you have a common denominator for all 3 fractions, you can now add them all up

[tex]\frac{40}{12} + \frac{50}{12} + \frac{66}{12}[/tex]

Now to add, the denominator has to stay the same (12), and add up all the numerators

[tex]\frac{40}{12} + \frac{50}{12} = \frac{90}{12} + \frac{66}{12} = \frac{156}{12} = 13 (simplified)[/tex]

Hope this helped!

A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed

Answers

Answer:

66 pounds of tomatoes

Step-by-step explanation:

A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed

From the above question:

5 people = 3 pounds of tomatoes

110 people = x pounds of tomatoes

Cross Multiply

5 people × x pounds = 110 people × 3 pounds

x pounds = 110 people × 3 pounds/5 people

x pounds = 66 pounds of tomatoes

3x + 10 = 5(x – 17)
how do i solve this?
any easy examples?

Answers

Answer:

x= 95/2  or  x=47.5  or   47 1/2

Step-by-step explanation:

3x + 10 = 5(x - 17)

First Step:

multiply and combine the right side (parentheses)

5 times x = 5x         5 times -17 = -85

3x + 10 = 5x -85

Second Step:

Add like terms ----> which is: 3x and 5x -----10 and -85

BUT since you only want one x on one side, you combine x first.

3x + 10 = 5x -85

-5x         -5x

-2x + 10 = -85

NOW

Third Step:     Add the integers---> 10 and -85

you want to get 10 on the same side as the -85, so you subtract it from BOTH sides.

which brings you:

-2x + 10 = -85

       -10    -10

                       

NOW that we've subtracted -10 from -85 it's technically just adding 85 and 10 then putting a negative sign on it.

so now we have:

-2x = -95

Step Four:

divide -2 from each side to get X alone

-2x = -95

-2      -2

ANSWER:

x=47.5

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