Un cable guía de 600 pies esta sujeto a la parte superior de una torre de comunicaciones. Si el cable forma un ángulo de 65° con la Tierra. ¿Cuál es la altura de la torre de comunicaciones?

Answer:

2 x plus 3 y equals 26. X plus 4 y equals 18

Step-by-step explanation:

Number of tiles, = x

Number of pints of paint, = y

Store 1:

Cost per tile = $2 ; cost per pint = $3 ; total cost = $26

Store 2 :

Cost per tile = $1 ; cost per pint = $4 ; total cost = $18

System of equation:

2x + 3y = 26 - - - (1)

x + 4y = 18 - - - - - (2)

Answer:

Yes, the card is a right triangle.

Step-by-step explanation:

The card is a right triangle, specifically a 3-4-5 right triangle.

A 3-4-5 right triangle is any right triangle that has side lengths in the ratio of 3:4:5.

The 3-4-5 rule says that any triangle with a side length ratio of 3:4:5 is a right triangle.

So, the card is a right triangle.

Answer:

The answer is 6

Step-by-step explanation:

(0,6)

x=0,y=6

Substituting 0 for x and 6 for y

6=2(0) + b

6=b

or

6 = 3(0)+b

6=b

Therefore, b=6

Answer:

101 + 102 + 103 + ... + 998 + 999 + 1000

Step-by-step explanation:

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Explanation:

This series is arithmetic since the common difference is 1. In other words, we're adding 1 to each term to get the next one.

The quickest way to find the sum is to use the formula below

S = (n/2)*(a+b)

where n is the number of terms, 'a' is the first term, and b is the last (or nth) term. This formula only works for arithmetic series.

We can see that n = 100, a = 1 and b = 100, so....

S = (n/2)*(a+b)

S = (100/2)*(1+100)

S = 50*101

S = 5050

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This can be confirmed by noticing that we have 100/2 = 50 pairs of terms. Pair up the terms such that 1 goes with 100, 2 goes with 99, 3 goes with 98, and so on.

We have these fifty sums

1+100 = 101

2+99 = 101

3+98 = 101

....

48+53 = 101

49+52 = 101

50+51 = 101

We have 50 copies of 101 being added, which leads to 50*101 = 5050

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The slowest and most tedious way to confirm this is to type 1+2+3+...+98+99+100 into your calculator. The result should say 5050. Using a spreadsheet would be a better option instead of using a handheld calculator. I don't recommend this unless you need more proof that we end up with 5050 as the final answer.

Given:

The figure of a right angle triangle.

A line segment intersect the two sides and parallel to third side of the triangle

To find:

The value of x.

Solution:

According to basic proportionality theorem, if a line segment intersect the two sides and parallel to third side of the triangle, then it divides the two sides proportionally.

Using basic proportionality theorem, we get

[tex]\dfrac{8}{20-8}=\dfrac{6}{x}[/tex]

[tex]\dfrac{8}{12}=\dfrac{6}{x}[/tex]

[tex]\dfrac{2}{3}=\dfrac{6}{x}[/tex]

On cross multiplication, we get

[tex]2\times x=6\times 3[/tex]

[tex]2x=18[/tex]

[tex]x=\dfrac{18}{2}[/tex]

[tex]x=9[/tex]

Therefore, the value of x is 9.

Answer:  Choice C.  [tex]3\sqrt{17}[/tex]

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Work Shown:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(12-15)^2 + (-21-(-9))^2}\\\\d = \sqrt{(12-15)^2 + (-21+9)^2}\\\\d = \sqrt{(-3)^2 + (-12)^2}\\\\d = \sqrt{9 + 144}\\\\d = \sqrt{153}\\\\d = \sqrt{9*17}\\\\d = \sqrt{9}*\sqrt{17}\\\\d = 3\sqrt{17}\\\\d \approx 12.3693169\\\\[/tex]

I used the distance formula for those steps above.

The two points were (x1,y1) = (12,-21)  and (x2,y2) = (15,-9) but you could swap the order.

As an alternative route, you can plot the two points on the same xy grid. Then form a right triangle such that the hypotenuse is between the two points mentioned. The pythagorean theorem should lead you to the same answer as above. In fact, the distance formula is basically a modified version of the pythagorean theorem.

Answer:

x = 20

Step-by-step explanation:

90 = 60 + (x + 10)

90 - 60 = x + 10

30 = x + 10

30 - 10 = x

20 = x

Answer:

x = 20

Step-by-step explanation:

From the diagram we see that ∠60° and ∠(x + 10)° are supplementary, therefore we know that the following is true...

60° + (x + 10)° = 90°

Now we just solve the equation and get the following...

60° + (x + 10)° = 90°

x° + 10° = 30°

x° = 20°

x = 20

Answer:14 m

Step-by-step explanation:

Dada

larga [tex]l=20\ m[/tex]

superficie [tex]A=280\ m^2[/tex]

Suponga que el ancho es w

La superficie está dada por el producto de la longitud y la anchura.

[tex]\therefore A=lw\\\Rightarrow 280=20\times w\\\Rightarrow w=14\ m[/tex]

Por lo tanto, el ancho es de 14 m.

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

C 42yd

Step-by-step explanation:

Answer:

The 8th term of the sequence is 255

Step-by-step explanation:

To find the 8th term of the sequence, we have to use the given sequence formula

All we have to do here is to make a substitution

We simply have to substitute the value 8 for n as follows;

a8 = 2^8 - 1

a8 =256-1

a8 = 255

Answer:

$45

Step-by-step explanation:

[tex]180 \times 25\%[/tex]

[tex]180 \times \frac{25}{100} [/tex]

[tex] \frac{18 \times 25}{10} [/tex]

[tex] \frac{450}{10} [/tex]

[tex]45[/tex]

Answer:

A = 6π

Step-by-step explanation:

Expression for the area of a sector is given by,

A = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]

For θ = 240° and r = 3,

By substituting these values in the given expression,

A = [tex]\frac{240}{360}(\pi) (3)^{2}[/tex]

   = [tex]\frac{240\times 9}{360}\pi[/tex]

   = 6π

Therefore, A = 6π is the answer.

Step-by-step explanation:

The factorisation of 49b^2 - 81 is (7b - 9)(7b + 9). This is because 49 and 81 are the squares of 7 and 9 respectively, so these must be multiplied together. b^2 is b x b. Finally, it must be -9 and +9 to make -81, because when the signs are the same the result is a positive number

Answer:

(7b - 9)(7b + 9)

Step-by-step explanation:

49b2 - 81

49 - 7 x 7

b2 - b x b

81 - 9 x 9

(a + b) (a - b) = a2 - b2

(7b - 9)(7b + 9)

Answer:

B. (2, 6)

Step-by-step explanation:

Xp = 1 + (1/6 × (7-1)) = 1 + (1/6×6) = 1+1 = 2

Yp = 8 + (1/6 × (-4-8)) = 8+(1/6×(-12))

= 8+(-2) = 6

the coordinate => (2, 6)

Answer:

1 2/9 minutes faster

Step-by-step explanation:

Take the larger number and subtract the smaller number

8 5/9 minutes - 7 1/3 minutes

Get a common denominator

8 5/9 - 7 1/3 *3/3

8 5/9 - 7 3/9

1 2/9 minutes faster

Answer:

b

Step-by-step explanation:

The right Answer is:

x = 4

Answer:

x=4

Step-by-step explanation:

2/3 (x − 7) = −2

Multiply each side by 3/2

3/2 *2/3 (x − 7) = −2*3/2

x-7 = -3

Add 7 to each side

x-7+7 = -3+7

x=4

you are driving onajor highway 94 mp

Answer:

Step-by-step explanation:

[tex]One \ million = 1, 000, 000\\\\Two \ hundred \ and \ fifty \ thousand = 250, 000[/tex]

Difference between one million and two hundred and fifty thousand

[tex]1,000,000[/tex]  [tex]- \ 250,000[/tex] [tex]= 750000[/tex]

International  Number System,750,000: Seven Hundred  and Fifty Thousand

Nepalis Number System,7, 50,000 : Seven Lakh Fifty Thousand

Answer:

El pastel se debe dividir en 6 partes iguales, de las cuales Santiago debe tomar 3 y Alba debe tomar 2.

Step-by-step explanation:

Dado que Santiago quiere comer la mitad de un pastel y Alba quiere un tercio del mismo pastel, para repartirlo bien se deben reducir las fracciones a su común denominador. Así, para determinar en cuántas partes iguales deben dividir el pastel y cuántas partes debe tomar cada uno se deben realizar los siguientes cálculos:

Santiago = 1/2

Alba = 1/3

2 x 3 = 6

Santiago = 1/2 = 3/6

Alba = 1/3 = 2/6

Por lo tanto, el pastel se debe dividir en 6 partes iguales, de las cuales Santiago debe tomar 3 y Alba debe tomar 2.

Answer:

3^6, 3^-4 * 3^10, 3^3 * 3^3, and (3*3) * (3*3*3*3) are the answers that are equivalent!

Step-by-step explanation:

These four are correct:-

Answer:

180

Step-by-step explanation:

to work out all possibilities you multiple the amount of options.

4x5x9=180

Answer:

Probability of spinning an odd number is 84%

Step-by-step explanation:

The probability of spinning a 1 or 4 is equal. Let this probability be X

Probability of spinning a 2 is 1/16

Probability of spinning a 3 is 1/2 of the probability of spinning a 2 i.e 8%

Sum of spinning 1,2,3 and 4 is equal to 100%

X + 16% + X + 8% = 100

2X = 100 - 16-8

X = 76%

Probability of spinning an odd number i.e one and 3 is

76% + 8% = 84%

Answer:

5.0x10=50

1.50x10=15

Step-by-step explanation:

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