A map in a particular city shows that a city block to be a rectangle that is 264 feet wide and 900 feet long. If a person was to walk from the top left corner to the lower right corner along the diagonal of the block, they would walk approximately _____. Round your answer to the nearest whole foot. Enter only the number.

A Map In A Particular City Shows That A City Block To Be A Rectangle That Is 264 Feet Wide And 900 Feet

Answers

Answer 1

Answer:

1164

Step-by-step explanation:

Answer 2

The person would walk approximately 938 feet from the top left corner to the lower right corner of the city block.

What is Pythagoras's theorem?

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

As per the given figure, the length of the hypotenuse is the distance the person would walk, and the lengths of the other two sides are 264 feet and 900 feet.

Using the formula for the Pythagorean theorem, we can set up the following equation:

c² = a² + b²

where c is the length of the hypotenuse, a is the length of one of the other sides, and b is the length of the remaining side.

In this case, we can substitute the known values for a, b, and c to get:

c² = 264² + 900²

c² = 69696 + 810000

c² = 879696

c = √879696

c = 937.92110

Rounded to the nearest whole foot.

c = 938 feet

Thus, the person would walk approximately 938 feet from the top left corner to the lower right corner of the city block.

Learn more about Pythagoras's theorem here:

brainly.com/question/343682

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Related Questions

1 21.1.1 Study: Characteristics of Ecosystems
A population of Clark's nutcrackers like this one lives in a forest on a mountainside in
Colorado. Which two characteristics of this group of birds make it a population?
A. They live in the same area.
B. They have the exact same genes.
C. They are offspring of the same parents.
D. They belong to the same species.

Answers

Answer:

The two populations living habitats are different. Also they are only similar not the same. Although the physical features may look the same, the actual species may be totally different. :)

Step-by-step explanation:

What is the height h of the garage roof?

Answers

Answer: 8 feet

Explanation:
Use Pythagorean theorem which is a^2 + b^2=c^2
30/2=15
15^2+b^2=17^2
225 +b^2= 289
289-225=64; b^2=64
8^2=64
b=missing side=8
h=8

I neeeddddd helppppp!!!! It’s urgentttttt

Answers

Answer:

R theta 1 = 20 x

R theta 2 = 11 x  - 6

R ( theta 1 + theta 2) = 31 x - 6     adding equations

R pi = 31 x - 6       since theta 1 + theta 2 = 180 deg

x = (R pi + 6)  / 31

This equation depends only R

If one lets R be one then   x = (pi + 6) / 31

This would give x = .29489 rad for the value of pi is deg

The numerical value of x appears to depend on the value of R

(x+4)^2-(x+2)(x-2)=20

Answers

⇒x²+ 4² - x²+ 2x - 2x + 4 = 20

⇒ x² - x² + 2x - 2x + 4² + 4 = 20

⇒ 16 + 4 = 20

⇒ 20 = 20

RHS = LHS hence proved

Answered by Gauthmath must click thanks and mark brainliest

Answer:

x = 0

Step-by-step explanation:

(a + b)² = a² +2ab + b²

(a +b)(a -b)= a² - b²

(x + 4)² - (x + 2 )(x - 2) = 20

x² + 2*4 *x + 4² - [x² - 2²] = 20

x² + 8x + 16 - [x² - 4]  = 20

x² + 8x + 16 - x²  + 4   = 20                 {(-1) is distributed x² and (-4)²}

x² - x² + 8x + 16 + 4     = 20 {Combine like terms}

                      8x + 20   = 20

                           8x      = 20 - 20

                               8x   = 0

x = 0

                                 

                           

Find the value of x.

Answers

Answer:

A - 55 degrees

Step-by-step explanation:

secant-tangent angle: 1/2(larger-smaller)

1/2(180-70)

1/2(110)

55 degrees

Convert
4 feet to inches
5 kilometers to meters
6 quarts to gallons, and
2,000 grams to kilograms

Answers

Answer:

1. 4ft=48inches

2. 5km=5,000m

3. 6 quarts=1,5 gallons

4. 2,000 grams=2km

Step-by-step explanation:

1. To convert feet to inches, multiply the number (4) by 12.

2. 1 Kilometer (km) is equal to 1000 meters (m). To convert kilometers to meters, multiply the kilometer value by 1000.

3. divide the volume value by 4

4. To convert grams to kilograms, you divide the number of grams you have by 1000

4 feet = 48 inches

5 kilometers = 5,000 meters

6 quarts = 1.5 US gallons

2,000 grams = 2 kilograms

functions f and g are defined as
f(x) = 5x² - 10x + 7
where x > 1
g(x) = 7x - 6
Find fg(2)

Answers

Answer: 247

Explanation:

When dealing with composite functions, we start with the right hand function first then apply our way to the left hand side.

1) First equate g(2)
2) Equate the function f of your answer you found in g(2)

1) 7(2) - 6
2) 14 - 6
3) 8

4) f(8) = 5(8)^2 - 10(8) + 7
5) f(8) = 320 - 80 + 7
6) f(8) = 247

Hope this helps, brainliest would be appreciated :)

determine the equation of a perpendicular line to y= -3/5x + 14, y-intercept 8

Answers

9514 1404 393

Answer:

  y = 5/3x +8

Step-by-step explanation:

The slope of the perpendicular line is the opposite reciprocal of the slope of the given line. The given slope is -3/5, so the perpendicular slope is ...

  -1/(-3/5) = 5/3

That and the given y-intercept can be put into the slope-intercept equation ...

  y = mx + b . . . . . line of slope m and y-intercept b

  y = 5/3x + 8

This year, a small business had a total revenue of $42,900 . If this is 35% less than their total revenue the previous year, what was their total revenue the previous year?

Answers

if this value 35% less than the total, we conclude that:

42,900 = 65%

1% = 660

100% = 66,000

if you want to check the value, just do 65% of 66000, which equals to 42,900

hope it helps :)

2. Apply the laws of indices and simplify. h)
[tex]3 \sqrt{x {?}^{2} {y}^{2} } [/tex]

Answers

Answer:

sub to the students notice the best of luck in life is good and u don't know what to do

U need to do stuff while solving other stuff because that’s the stuff u gotta do

41
Ivan has just opened a small coffee shop. He paid a copy store 50.10 percopy to make
1,428 copies of the flyer to announce the opening of the shop an is having 14
distribute all 1 428 flyers, and he is paying them 50.25 tot sath Syer shey der He suure
each friend the same number of flyers
What is the total amount Ivan is paying each friend to
disor
Show your work
Answers

Answers

Answer:

41

Ivan has just opened a small coffee shop. He paid a copy store 50.10 percopy to make

1,428 copies of the flyer to announce the opening of the shop an is having 14

distribute all 1 428 flyers, and he is paying them 50.25 tot sath Syer shey der He suure

each friend the same number of flyers

What is the total amount Ivan is paying each friend to

disor

Show your work

Answers

PLEASE HELP!! WILL MARK BRAINLIEST

Answers

Answer:

x = 25/2

y = 5

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal when the lines are parallel

4x+8y = 18y

We also know that 18y +90 = 180 since they form a straight line

18y +90 = 180

Subtract 90 from each side

18y+90-90=180-90

18y = 90

y =5

Now we can solve for x

4x+8y = 18y

4x+8y-8y = 18y-8y

4x = 10y

Since y = 5

4x = 10(5)

4x = 50

4x/4 = 50/4

x = 25/2

x = 50/4

what is the domain of the function in the graph?

Answers

Answer:

6AJNSDJN

Step-by-step explanation:

PLzzZZHELPPPP


The angle between the top of a building and a point 80 feet away from the base (on level ground) is 70° . To the nearest foot, how tall is the building?

Answers

Answer:

220ft tall

Step-by-step explanation:

From the question we are given the following:

Adjacent side of the triangle = 80feet

Angle of elevation = 70°

Required

Height of the building (Opposite)

Using the SOH CAH TOA identity:

tan theta = opp/adj

tan 70 = H/80

H = 80tan70

H = 80(2.7474)

H = 219.79ft

Hence the building is 220ft tall

given that f(m) = m/2, find m​

Answers

Answer:

let f(m) = u

multipling both sides by 2

We have 2f(m)=m

therefore m=2

I need help plz help

Answers

We know

[tex]\boxed{\sf cos\Theta=\dfrac{b}{h}}[/tex]

[tex]\\ \sf\longmapsto cos22=\dfrac{x}{47}[/tex]

[tex]\\ \sf\longmapsto 0.9=\dfrac{x}{47}[/tex]

[tex]\\ \sf\longmapsto x=47(0.9)[/tex]

[tex]\\ \sf\longmapsto x=42.3[/tex]

On a unit Circle, the terminal point of 0 is (sqrt3/2, 1/2) what is 0?

Answers

This is a point, so it has x- and y-coordinates. Both of these coordinates are positive, therefore the point must be in the first quadrant.

The pattern for the points on a unit circle is 3 - 2 - 1 starting at 0 and up to pi/2. The pattern for the radian denominators on a unit circle is 6 - 4 - 3 starting at 0 and up to pi/2.

(sqrt(3) / 2, 1/2) = pi / 6 radians

Hope this helps!

Answer:

A. pi/6 radians

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1/2 : sqrt(3/2) : 1

sin theta = opp/hyp

tan theta = 1/2 / 1

tan theta = 1/2

theta = pi/6 radians

Answer: A. pi/6 radians

AYUDAAAAA
Un litro de leche de búfala equivale a 1.7 litros de leche de vaca. ¿si tengo
27 litros de leche de búfalo, a cuantos litros de leche de vaca equivaldría?

Answers

Answer:

27 litros de leche de búfalo equivalen a 45.9 litros de leche de vaca.

Step-by-step explanation:

Sabiendo que un litro de leche de búfala equivale a 1.7 litros de leche de vaca, podemos calcular el equivalente de capacidad de la vaca para 27 litros de leche de búfala mediante Regla de Tres Simple:

[tex]x = 27\,L\times \frac{1.7\,L}{1\,L}[/tex]

[tex]x = 45.9\,L[/tex]

27 litros de leche de búfalo equivalen a 45.9 litros de leche de vaca.

Please help me solve this short problem I’m really struggling

Answers

Answer:

Step-by-step explanation:

In the standard form of a quadratic,

[tex]h(x)=-x^2+v_0x+h_0[/tex],

that last term, the h0, is the initial height off the ground that the object is. That means that for the first question, the irrigation system is initially 9.5 feet off the ground.

In order to answer the next question, we need to find the vertex of the parabola, because this is where the max height will occur and at how many feet away from the system. The max height is the k of the vertex and the horizontal distance away is the h of the vertex: (h, k). Thankfully, we have simple formulas to find those:

[tex]h=-\frac{b}{2a}[/tex]  and  [tex]k=c-\frac{b^2}{4a}[/tex]  where a, b, and c come from the coefficients in the equation. For us, a = -1, b = 10, and c = 9.5. Finding h first:

[tex]h=-\frac{10}{2(-1)}=\frac{-10}{-2}=5[/tex]  

and now k:

[tex]k=9.5-(\frac{10^2}{4(-1)})=9.5-(\frac{100}{-4} )=9.5-(-25)=9.5+25=34.5[/tex]

Summing it up, the vertex is at (5, 34.5), The interpretation of that is that "The spray reaches a max height of 34.5 feet at a horizontal distance of 5 feet away from the sprinkler head."

Next we are asked how far away from the sprinkler head the water hits the ground. To do this we factor the expression to find the zeros. The zeros tell us where the water will hit the ground after it reaches its max height and then falls back down to earth.

I used my calculator to factor this for me to get that the water will hit the ground 10.87 feet away from the sprinkler head.

x+y=4
x-2y=-5
If the first equation is multiplied by 2 and then the equations are added, the result is
=3
3 = 13
o3х=3 3

Answers

Answer:

3x = 3

Step-by-step explanation:

x + y = 4 × 2

= 2x + 2y = 8

2x + 2y = 8 + x - 2y = -5

3x = 3

If [ -2 5 7 6] and |B| = -|A|, which matrix is matrix B?

Answers

|A| and |B| denote the determinants of the matrices A and B.

We have

[tex]|A| = \begin{vmatrix}-2&5\\7&6\end{vmatrix} = (-2)\times6-7\times5 = -12 - 35 = -47[/tex]

Then B is a matrix such that |B| = -|A| = +47.

The only choice satisfying this is C, since

[tex]\begin{vmatrix}12&1\\13&5\end{vmatrix} = 12\times5-13\times1 = 60 - 13 = 47[/tex]


A stock lost 8 3/8 points on Monday and then another 1 5/8 points on Tuesday. On Wednesday, it gained 13 points. What was the
net gain or loss of the stock for these three days?

Answers

Answer:

The stock in last three days has a net gain of 3.

Step-by-step explanation:

The net change of the stock is the sum of daily changes in last three days. Please notice that positive sign means means for gain, whereas negative one is for loss. Based on information given on statement, we determine the net change in the stock:

[tex]x = -\left(8 + \frac{3}{8} \right)-\left(1+\frac{5}{8} \right) + 13[/tex]

[tex]x = 3[/tex]

The stock in last three days has a net gain of 3.

Determinar la altura de una antena que, A cierta hora del día,Arroja una sombra de 2.85 m, En ese preciso momento Marta que Mide 1.65 m Proyecta una sombra de 1.16 m

Answers

Answer:

La altura de la antena es 4.054 metros.

Step-by-step explanation:

La altura del objeto es perpendicular a la longitud de la sombra, tanto el triángulo rectángulo de la antena como el triángulo rectángulo de Marta son semejantes. La altura de la antena se determina mediante la siguiente relación:

[tex]\frac{h}{l} = \frac{H}{L}[/tex] (1)

Where:

[tex]h[/tex] - Altura de Marta, en metros.

[tex]l[/tex] - Longitud de la sombra de Marta, en metros.

[tex]L[/tex] - Longitud de la sombra de la antena, en metros.

[tex]H[/tex] - Altura de la antena, en metros.

Si sabemos que [tex]h = 1.65\,m[/tex], [tex]l = 1.16\,m[/tex] y [tex]L = 2.85\,m[/tex], entonces la altura de la antena es:

[tex]H = h\cdot \left(\frac{L}{l} \right)[/tex]

[tex]H = 1.65\,m \times \left(\frac{2.85\,m}{1.16\,m} \right)[/tex]

[tex]H = 4.054\,m[/tex]

La altura de la antena es 4.054 metros.

1. Find 3 equivalent fraction for the following: a) 5/6 b) 7/11 c) 9/7

Answers

Answer:

Step-by-step explanation:

To find equivalent fractions, multiply the numerator and the denominator by the same table.

a) 5/6

[tex]\frac{5*2}{6*2}=\frac{10}{12}\\\\\frac{5*3}{6*3}=\frac{15}{18}\\\\\frac{5*4}{6*4}=\frac{20}{24}[/tex]

b) 7/11

[tex]\frac{7*3}{11*3}=\frac{21}{33}\\\\\frac{7*4}{11*4}=\frac{28}{44}\\\\\frac{7*5}{11*5}=\frac{35}{55}[/tex]

c)9/7

[tex]\frac{9*2}{7*2}=\frac{18}{14}\\\\\frac{9*5}{7*5}=\frac{45}{35}\\\\\frac{9*10}{7*10}=\frac{90}{70}[/tex]

If (3+√5)(4-√5)=a+b√5, where a and b are integers, then what is the value of a + b?

Answers

54 = 2 x 3³
So, if a and b are integers, a=2 and b=3

2.
Say True or False.
(i) The difference between the smallest number of seven digits and the largest
number of six digits is 10. False
(ii) The largest 4-digit number formed by the digits 8, 6, 0, 9 using each digit only
once is 9086.
IS
:)
.
(iii) The total number of 4 digit numbers is 9000.​

Answers

Answer:

i) false

ii) false

iii)false

Answer:

true ans is correct

Step-by-step explanation:

true

(PICTURE) please answer whatever you can Its really urgent

Answers

Answer:


Step By Step Explanation:
I answered myself

4(2-3-1)+-5(6)--7to the power of 2

Answers

[tex]\\ \sf\longmapsto 4(2 - 3 - 1) + ( - 5)(6) - 7 {}^{2} \\ \\ \longmapsto 4( - 2) + ( - 30) - 7 {}^{2} \\ \\ \sf\longmapsto - 8 - 30 - 49 \\ \\ \sf\longmapsto - 38 - 49 \\ \\ \sf\longmapsto - 87[/tex]

Which expression can be used to convert 80 dollars (USD) to Australian dollars (aud) 1 USD=1.0343 AUD 1 AUD 0.9668 USD

Answers

Answer: [tex]1\ \text{USD}\equiv 1.35\ \text{AUD}[/tex]

Step-by-step explanation:

1 USD is equivalent to 1.35 AUD

Therefore, 80 USD is equivalent to

[tex]\Rightarrow 80\ \text{USD}\equiv 80\times 1.35\\\\\Rightarrow 108\ \text{AUD}[/tex]

find the slope of a line perpendicular to y=-2/3x+4/5

Answers

The slope of a perpendicular line is just the reciprocal and opposite sign.

In this case, it’s just 3/2.

If your original slope was 2, then the slope of the perpendicular line would be -1/2.
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