A park in the shape of a rectangle is 18 miles long and 24 miles wide. How much shorter is your walk
if you walk diagonally across the park instead of along the two sides of it?

Answers

Answer 1
Answer:
30
Explanation:
24^2+18^2
=900
√900
=30
(You have to use Pythagorean theorem so a^2+b^2=c^2)

Related Questions

QUESTION ONE Solve for x.

Answers

Answer:

X = 144

Step-by-Step Explanation

2. Solve for x given given the following ​

Answers

Answer:

Step-by-step explanation:

Since the triangles are equivalent,

3x - 2 = 5

Solve for x.

3x = 7

x = 7/3

What is the equation of the line in slope-intercept form that passes through the point (1,8) and is PARALLEL to line y =
4x - 72

Answers

Answer:

y=4x+4

Step-by-step explanation:

substiute the 1 for the y and the 8 for the x in the form (8=4*1+b)

subtract for so it cancels out on the right and leaves you with 4 on the left equals b on the right.

Which types of triangles can have three angles that measure less than 90°?
acute triangle
equilateral triangle
a right triangle
isosceles triangle

Answers

Answer:

acute angle

Step-by-step explanation:

acute = angles that are less than 90⁰

The triangles which have three angles that measure less than 90° are:

acute triangle, equilateral triangle

What is acute triangle?

"An acute triangle is a triangle with three acute angles that means each angle measures less than 90°."

What is an equilateral triangle?

"An equilateral triangle is a triangle where all sides and angles are equal. Each angle of an equilateral triangle measures 60°. "

What is a right triangle?

"A right triangle is a triangle where one of the angle measures 90°. "

What is an isosceles triangle?

"A triangle that has two sides of equal length is called as an isosceles triangle. Also, two angles that are opposite to equal sides are always equal and measures less than 90°. "

For given question,

As one of the angle of right triangle measures 90°, it is not a required triangle.

Also, for isosceles triangle, although two equal angles measure less than 90°, the third angle can be 90°. So, an isosceles triangle is not a required triangle.

Therefore, the triangles that have three angles that measure less than 90° are:

1) acute triangle

2) equilateral triangle

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Solve for y.
y+9=7

Any help

Answers

Answer:

-2

Step-by-step explanation:

7-9=-2 hope this helps

The answers the this is -2

To rent a boat, you pay for an initial fee plus. John rented a boat for 3 hours and paid $41. Jessica rented a boat for 6 hours and paid $77.

Answers

Answer:

The intial fee is $5

The equation to represent this is: y=12x+5

12 is the cost per hour    x=hours  y=total cost  

Step-by-step explanation:

77-41=36

36/3=12

12*6=72

77-72=5

What is the vertex for the equation f (x) = 6(x – 10)2 – 4?​

Answers

Answer:

             (10, -4)

Step-by-step explanation:

The vertex form of the equation of quadratic function with vertex (h, k) is:

f(x) = a(x - h)² + q

f(x) = 6(x - 10)² - 4    - given function

so:

a = 6,  h = 10,  q =  -4

Multi Step equations 11x+4=37

Answers

the answer should be x=3

I need help with these questions ( see image for question ).
Please show working.

Answers

Answer:

k = -4 ± 2√5

Step-by-step explanation:

#22

Given Equation x² -4x + 1 = k(x - 4) with equal rootsTo findThe value of kSolution

The equation in standard form is:

x² -4x + 1 = k(x - 4)x² - 4x - kx + 1 + 4 = 0x² - (k + 4)x + 5 = 0

When the quadratic equation has equal roots its discriminant is zero

D = 0b² - 4ac = 0(k + 4)² - 4*5 = 0(k + 4)² = 20k + 4 = ± √20k = - 4 ± √20ork = -4 ± 2√5

An arithmetic sequence is represented by the recursive formula A(n) = A(n-1) + 8. If the first term in the sequence is 4, write the explicit formula

Answers

Answer:

A(n) = 4 + 8(n-1)

Step-by-step explanation:

A(n) = A(n-1) + 8

A(1) = 4

So A(2) = A(1) + 8 = 4 + 8

A(3) = A(2) + 8 = A(1) + 8 + 8 = 4 + 8 + 8

A(n) = 4 + 8(n-1)

The explicit formula for the arithmetic sequence with the given recursive formula A(n) = A(n-1) + 8 and the first term A(1) = 4 is A(n) = 8n - 4.

Given that the first term (A(1)) is 4, we can observe that each subsequent term is obtained by adding 8 to the previous term.

The general formula for an arithmetic sequence is A(n) = A(1) + (n-1)d, where A(n) represents the nth term, A(1) is the first term, n is the term number, and d is the common difference.

The first term (A(1)) is 4, and the common difference (d) is 8.

Plugging these values into the general formula, we have:

A(n) = 4 + (n-1)×8

A(n) = 4 + 8n - 8

A(n) = 8n - 4

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omg I WILL MARK BRANLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! THIS IS DUE TODAY
PLZ HELP

Answers

Answer:

A

Step-by-step explanation:

Its the first letter of the English alphabet

Answer:

Please give more context to what you desire help for.

A particular map shows a scale of 2 cm: 8 km. What would the map distance (in cm) be if the actual distance is 64 km?

Answers

Answer:

16cm

Step-by-step explanation:

Step one:

given

the scale of the map

[tex]2 cm: 8 km.[/tex]

Step two:

so if a scale of 2 cm represents 8 km.

       then let xcm be 64km

cross multiply we have

[tex]x*8= 64*2[/tex]

8x= 128

divide both sides by 8

[tex]x= 128/8\\\\x=16cm[/tex]

The map distance is 16cm

What is the value of x?

Answers

Answer:

x = 146°

Step-by-step explanation:

(all angles in a triangle add up to 180°)

180 - 115 - 31 = 34

(supplmentary angle)

180 - 34 = 146°

20 points, and if you're right I'll give you big brain lol, graph too please!

Answers

Answer:

The correct answer would be A I believe

Solve the question 35>-5(4-x)

Answers

Answer:

x < 11

Step-by-step explanation:

35 > -5(4 - x)

35 > -20 + 5x

55 > 5x

x < 11

Topic: Inequalities

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

In ΔVWX, \text{m}\angle V = (7x-1)^{\circ}m∠V=(7x−1) ∘ , \text{m}\angle W = (4x+16)^{\circ}m∠W=(4x+16) ∘ , and \text{m}\angle X = (3x-17)^{\circ}m∠X=(3x−17) ∘ . Find \text{m}\angle X.M∠X.

Answers

Answer:

m∠X= 22°

Step-by-step explanation:

In ΔVWX:

m∠V=(7x−1) ∘

m∠W=(4x+16) ∘ ,

m∠X=(3x−17) ∘ . Find M∠X.

Step 1

We find the variable x

The sum of angles in a triangle is 180°

Hence,

ΔVWX = m∠V + m∠W +m∠X

180° = (7x - 1)° + (4x + 16)° + (3x - 17)°

180° = 7x - 1 + 4x + 16 + 3x - 17

180° = 7x + 4x + 3x - 1 + 16 - 17

180° = 14x -2

Collect like terms

180° + 2 = 14x

182° = 14x

x = 182°/14

x = 13°

Step 2

We find m∠X

m∠X = (3x−17) ∘

x = 13

m∠X = (3 × 13 − 17)°

m∠X = (39 − 17)°

m∠X = 22°

anyone play pokemon go?

Answers

Answer:

No

I hate pokemon.

That’s so last year

A Rectangle has a length that is one foot longer than it’s width. If the area of the rectangle is 210ft^2 what are the dimensions?

Answers

Answer:

Required Answer:-

Let

[tex]\qquad\quad {:}\longmapsto\sf The\: breadth =x\: ft[/tex]

[tex]\qquad\quad {:}\longmapsto\sf The\:length=x+1ft[/tex]

[tex]\qquad\quad {:}\longmapsto\sf Area=210ft^2 [/tex]

As we know that in a rectangle

[tex]{\boxed {\sf Area=length\times Breadth}}[/tex]

Substitute the values

[tex]\qquad\quad {:}\longmapsto\sf x (x+1)=210 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x^2+x=210 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x^2+x-210=0 [/tex]

Factorise

[tex]\qquad\quad {:}\longmapsto\sf x^2+15x-14x-210=0 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x (x+15)-14 (x+15)=0 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf (x+15)(x-14)=0 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x+15=0\:or\:x-14=0 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x=-15\:or\:x=14 [/tex]

In menstruation there is no negative value .So (x=-15) can't be possible.

Hence correct value

[tex]\qquad\quad {:}\longmapsto\sf x=14[/tex]

__________________________

[tex]\qquad\quad {:}\longmapsto\sf Breadth =x=14ft[/tex]

[tex]\qquad\quad {:}\longmapsto\sf Length=x+1=14+1=15ft [/tex]


2.
Which arc is a major arc?
POR
PSQ
PQ
SO

Answers

Answer:

your right

Step-by-step explanation:

two customers went to a dry cleaners to get clean their shirts and pants. Each shirt cleaning costs the same amount, and each pants cleaning costs the same amount. The first customer paid $30.00 for 5 shirt cleanings and 3 pants cleaning. The second customer paid $29.00 for 3 shirt cleanings and 4 pants cleaning. What was the cost, in dollars, of each shirt cleaning?

Answers

Answer:

$3.00

Step-by-step explanation:

5x + 3y = 30 - - - - - 1 x 4

3x + 4y =29 - - - - - -2 x 3

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

20x +12y = 120 - - - - 3

9x + 12y = 87 - - - - - 4

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

3-4

20x - 9x= 120 - 87

11x = 33

X= 33

11

X = 3

The cost of cleaning each shirt is 3 dollars.

What is a linear equation?

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Assuming the cost of cleaning 1 shirt is x and the cost of cleaning 1 pant is y.

The first customer paid $30.00 for 5 shirt cleanings and 3 pants cleaning.

∴ 5x + 3y = 30...(i)

The second customer paid $29.00 for 3 shirt cleanings and 4 pants cleaning.

∴ 3x + 4y = 29...(ii)

Now to cancel out 'x' in both equations we multiply eqn(i) by 3 and eqn(ii) by 5.

So, 15x + 9y = 90...(iii) and 15x + 20y = 145...(iv)

Now subtracting (iii) from (iv) we get 11y = 55 ⇒ y = 5 and substituting the value of y in eqn(iv) we get x = 3.

The cost of cleaning each shirt is 3 dollars.

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the difference bettween 2x and 3​

Answers

Answer:

-6

Step-by-step explanation:

Answer:

3 is a whole number but 2x is 2 multiplied by a variable

I am doing a science project and need a fun or short title. The project is on whether filtered water affects plant growth. Any creative title ideas? Will give brainliest for best one!

Answers

Heres an idea, ask if you need more :)

Step-by-step explanation:

I Wet My Plants: The Effect of Different Types of Water on the Growth of Plants

What is the simplified form of 400x100 ?
O 200x10
O 200x50
O 20x10
O 20x50

Answers

Answer:

√400 x √100 = 40,000  

√40,000 = 200  

So your answer is 200 x 10.

Hope this Helps!!

Step-by-step explanation:

The value of the simplified form is,

⇒ 20 x¹⁰

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

√ 400 x¹⁰⁰

Now, We can simplify as;

⇒ √ 400 x¹⁰⁰

⇒ 20 x¹⁰

Thus, The value of the simplified form is,

⇒ 20 x¹⁰

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Is the order pair 1,2 2,4 3,8 4,16 a function if yes then why

Answers

No it is not a order pair. It’s not one because I did the work.

3.) Duncan spent $70 and now has
$120. How much money did he have
before spending the 70?

Answers

Answer:

He started with $190

Answer:

190

Step-by-step explanation:

because $70 + $120 gives us $190 of how we got the answer is before he spending the 70$ he had $190.

Find the equation of this line.

Answers

Answer:

y = 1/3 x + 2

Step-by-step explanation:

We see points (-3, 1) and (3, 3).

We also see point (0, 2), the y-intercept.

To go from (-3, 1) to (3, 3), go up 2 and right 6.

slope = m = rise/run = 2/6 = 1/3

y = mx + b

y = 1/3 x + 2

A restaurant has 26 tables in its dining room. It takes the waitstaff 10 minutes to clear and set 4 tables. At this rate, how long will it take the waitstaff to clear and set all the tables in the dining room? please hurry

Answers

Answer: 65 minutes

Step-by-step explanation: 26 / 4 = 6.5

6.5 tables per 10 minutes so 6.5 x 10 = 65 min

Answer:

1 hr and 5 minutes

Step-by-step explanation:

here's why... because 4 goes into 26 6 times with a remainder of 2 and there is 5 mins for every 2 tables and 6 times 10 is 60 which equals a hour and that will be a hour and 5 mins

what about two and nine hundredths?​

Answers

Answer:

2.09 is the answer now what

Molly read 50 out of the 200 pages in her fiction book. Joel is also reading a fiction book, but his book has 280 pages in total. If Joel reads x pages such as the ratio of pages he read is a equivalent to the ratio of pages molly has read, find the value of x.

Answers

Answer:

[tex]x = 70[/tex]

Step-by-step explanation:

Given

Molly: 50 out of 200

Joel: x out of 280

Required

Find x

Start by representing the giving parameters as ration

Molly= 50 : 200

Joel = x : 280

From the question, the ratios are equivalent. So,

[tex]50 : 200 = x : 280[/tex]

Convert to fractions

[tex]\frac{50}{200} = \frac{x}{280}[/tex]

Solve for x

[tex]x = \frac{50}{200} * 280[/tex]

[tex]x = \frac{1}{4} * 280[/tex]

[tex]x = \frac{280}{4}[/tex]

[tex]x = 70[/tex]

A plant cell has a length of 0.000085 what is it’s scientific notation

Answers

.85 * 10^-4 is the scientific notation

Answer:

8.5×10^-5

Step-by-step explanation:

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