What is the value of x?

Answer:

Approximately 1,320 feet.

Step-by-step explanation:

Let one person be x miles from the skycraper, then the other one will be 5 - x miles away from it.

So we have the 2 equations:

tan 4 = h/x

tan 10 = h/(5 - x)        where h is the height of the skyscraper

From the first equation:

h = x tan 4

Substituting in the second equation:

tan 10 = x tan 4 / (5 - x)

5 tan 10 - x tan 10 = x tan 4

x tan 10 + x tan 4 = 5 tan 10

x = 5 tan 10 / ( tan 10 + tan 4)

= 3.58 miles

h = 3.58 * tan 4

= 0.25 miles

= 1320 feet approx.

Answer:

40

Step-by-step explanation:

The serving sizes, [tex]x[/tex], of 20, 80, and 120 have a required amount of meat in pounds, [tex]y[/tex], of [tex]y=\frac{1}{10}x[/tex] (the number of pounds of meat is equal to 1/10th the serving size)

However, for the row with a serving size of 40, the number of pounds of meat is equal to [tex]\frac{6}{40}=\frac{3}{20}[/tex] the serving size. Therefore, the serving size of 40 has a different ratio of serving size to pounds of meat than the other ratios.

Answer:

La cifra de las decimas es 6, la cifra de las centésimas es 8, la cifra de las milésimas es 4, y en la parte entera, la cifra de unidades es 7, mientras que la cifra de la decena es 8.

Step-by-step explanation:

Para responder la pregunta, se debe descomponer el número en cuestión:

87.684

8 = Indica la cantidad de decenas del número, es decir, 8 decenas (80).

7 = Indica las unidades dentro de la decena, es decir, 7 unidades más que 80.

.6 = Indica la cantidad de decenas del entero.

.08 = Indica la cantidad de centésimas del entero.

.004 = Indica la cantidad de milésimas del entero.

Así, la cifra de las decimas es 6, la cifra de las centésimas es 8, la cifra de las milésimas es 4, y en la parte entera, la cifra de unidades es 7, mientras que la cifra de la decena es 8.

Answer:

Similar by SAS

Step-by-step explanation:

If you multiply the two given sides by 3/2 you will get the sides for the large triangle

3/2  * 10 = 30 / 2 = 15

3/2 * 24 = 72 / 2 = 36

Therefore they are similar by SAS postulate for similarity. Notice that the right angle is between the legs of the triangle. That is the main qualification that allows you to use SAS for similarity.

Find the other two angles of both the triangles, if they were similar then the triangles are similar

The answer would be number 4, y=3/4x-6.

This is because both of the equations share the same slope of 3/4x.

Answer:

Last Option is correct

Step-by-step explanation:

[tex]f(x) = 2x - 10[/tex]

[tex]y=2x−10[/tex]

[tex]x=2y−10[/tex]

[tex]2y−10=x[/tex]

[tex]2y=x+10[/tex]

[tex]y = \frac{1}{2} x + 5[/tex]

[tex]h(x) = \frac{1}{2} x + 5[/tex]

Answer:

The Earth is divided into degrees of longitude and latitude which helps us measure location and time using a single standard. Longitude and latitude lines measure the distance from the Earth's Equator or central axis - running east to west - and the Prime Meridian in Greenwich, England - running north to south.

No, the ratios are not equivalent to 2/3. To create an equivalent ratio, you need to multiply both numbers in the original ratio by the same number.

hope that helps<3

Answer:

<k = 20

Step-by-step explanation:

Inscribed Angle = 1/2Intercepted Arc

<K = 1/2 (40)

<k = 20

Answer:

m= - 3/2

c=1/2

Step-by-step explanation:

y=mx+c (formula for finding slope)

y= -3x/2+1/2

m= - 3/2

c=1/2

Answer:

It has to burn at a rate of 2.25 cm per hour.

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

If a line is parallel to a side of a triangle and it intersects the other 2 sides then it divides those sides proportionally, that is

[tex]\frac{6x+2}{x +5}[/tex] = [tex]\frac{24-8}{8}[/tex] = [tex]\frac{16}{8}[/tex] = 2 ( multiply both sides by x + 5 )

6x + 2 = 2(x + 5)

6x + 2 = 2x + 10 ( subtract 2x from both sides )

4x + 2 = 10 ( subtract 2 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

Answer:

6 1/4

Step-by-step explanation:

1/2 = 2/4

2/4 + 3/4 = 5/4 which is 1 1/4 simplified.

Then add the whole numbers, 2 + 3 = 5

5 + 1 1/4 = 6 1/4

Tomas rides 6 1/4 miles everyday.

Answer:

4

Step-by-step explanation:

When you fold it to make it a cube, the number opposite to 1 is 4

Answer:

80/121

Step-by-step explanation:

For simplicity,

Probabilities of getting a red, a blue or a green in a single spin are, respectively, 4/11, 4/11 & 3/11.

Therefore, probabilities of getting 2 reds, 2 blues or 2 greens in 2 spins are, 16/121, 16/121 & 9/121 respectively.

Then, total probability of getting same colour both times would be 16/121 + 16/121 + 9/121 = 41/121.

Any other option would result in 2 different colours. Thus, the probability of getting two different colours in 2 spins = 1 - 41/121 = 80/121.

Answer:

The tile feels colder because it's a heat conductor and moves heat rapidly away from your skin which is much warmer than the air temperature. The rug is a heat insulator. The rug slows down the flow of the heat which makes it feel warmer.

Step-by-step explanation:

Answer:

$5500

Step-by-step explanation:

3500 + 0.05 * 40,000 = 5500

His gross salary in a month in which his sales amounted to $40,000 would be; 5500 dollars.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

It is given that man received a monthly salary of $3500 together with a commission of 5% on all sales over $5000 per month.

Let the x represents his gross salary in a month in which his sales amounted to $40,000.

Therefore,

x = 3500 + 0.05 (40,000)

x = 3500 + 2000

x = 5500

Hence,  his gross salary in a month in which his sales amounted to $40,000 would be; 5500 dollars.

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

Answer:

72,96

Step-by-step explanation:

Multiple's of 4 starting above 50 to 101

52, 56, 60, 64, 68, 72, 76, 80,84,88,92,96,100

Multiple's of 8 starting above 50 to 101

56, 64, 72, 80, 88, 96,

Multiple's of 12 starting above 50 to 101

60, 72, 84, 96,

See which numbers are in all three lists

72,96

Answer:

( 3, - 2 )

Step-by-step explanation:

p is located at below 3

Answer:

3

Step-by-step explanation:

To find the slope of a line perpendicular to a like with a gradient of -1/3, you do the negative reciprocal of -1/3 which would be 3/1 or 3.

Answer:

3

Step-by-step explanation:

let, m = -1/3

and, m1 = x

m * m1 = -1

m1 = -1/-1/3

m1 = 3......

Answer:

Tony's solution strategy

Step-by-step explanation:

Given the equation that Lucas and Tony trying to solve expressed as: x^2=16x+25

This can be written in standard form as x^2 - 16x - 25 = 0

This can then be factorized using the general formula

x = -b±√b²-4ac/2a where a, b and c are constants

From the given expression;

a = 1, b = -16, c = -15

Hence the best strategy that would have worked based on the explanation is Tony's

Answer: Neither

Step-by-step explanation: got it right on khan

Answer:

25%

Step-by-step explanation:

Simply count the fully shaded squares; there are 22 of them.  Then count the 1/2 filled squares; there are 6 of them.  Combine half squares to make whole squares and you end up with 3 full squares.

Add 22+3 to get 25 -- 25 out of 100 = 25%

Hope this helps!

Answer:

X can be -8, 0, and 3

Step-by-step explanation:

-8x3=-24

0x3=0

3x3=9

so -24, 0, and 9 are all bigger than -30 because -30 is a negative number.

-24>-30

0>-30

9>-30

Hope this helps!

Answer:

[tex]2.17 \times 10^{-1}[/tex]

Step-by-step explanation:

[tex](7 \times 10 ^{-6}) + 0.26 - (5 \times 10^{-2}) = \frac{7}{10^3} + \frac{26}{10^2}-\frac{5}{10^2}[/tex]

                                              [tex]= \frac{7 + (26 \times 10) - ( 5 \times 10)}{10^3}\\\\=\frac{7 + 260 - 50 }{10^3}\\\\=\frac{217}{10^3}\\\\= 2.17 \times 10^2 \times 10^{-3}\\\\= 2.17 \times 10^{-1}[/tex]

Answer:

easy that thing needs help

x = 8 × Cos( 72 )

x = 8 × Cos( 90 - 18 )

x = 8 × Sin( 18 )

x = 8 × 0.309

x = 2.472

x = 2.470

x = 2.500

x = 2.5

Answer:

B

Step-by-step explanation:

Because the equation can be written in the form (x-p)^2+(y-q)^2. So it represents a circle with the radius r=3 and the center of (5,0).

Answer:

C

Step-by-step explanation:

The circle equation (x-a)²+(y-b)²=r² has a radius of r and a center of (a,b).

You can expand your equation from (x-5)²+y²=9 to (x-5)²+(y-0)²=3².

Using this information, you can see that a=5, b=0, and r=3.

Therefore the center is (5,0) and the radius is 3.

**This question involves circle equations, which you may want to revise. I'm always happy to help!