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Mrac [35]
2 years ago
6

The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in the ratio is 10, what is the second num

ber? Justify your reasoning.
Mathematics
2 answers:
juin [17]2 years ago
7 0
10:40 the ratios are increased by multiples of 4.
aalyn [17]2 years ago
3 0

the 3 ratios given, the bottom number is the top number times 4

3*4=12

4*4=16

5*4=20

 so if the top number is 10 the bottom will be 40 

10*4 = 40

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24. ABCDE and PQRST are regular pentagons.
SIZIF [17.4K]

Answer:

126°

Step-by-step explanation:

In quadrilateral DSRC, SR || DC (given)

AP = BQ = CR = DS = ET (given)

\therefore CR bisects \angle DCB

\therefore m\angle DCR=\frac{108\degree}{2}

(108\degree is the measure of an angle of pentagon)

\therefore m\angle DCR=54\degree

\because m\angle DCR + m\angle SRC=180\degree

(Measure of interior angles on the same side of transversal)

\therefore 54\degree + m\angle SRC=180\degree

\therefore  m\angle SRC=180\degree- 54\degree

\therefore  m\angle SRC=126\degree

3 0
2 years ago
Under the best conditions, a sprout has a 40% probability of blooming.
murzikaleks [220]

Answer:

A

Step-by-step explanation:

Im good at math

7 0
2 years ago
Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de
enot [183]

Answer:

La altura del globo con respecto al suelo es 449,6 metros.

Step-by-step explanation:

La afirmación está incompleta. El enunciado completo es: "Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de depresión de 27°, mientras que para ver la ciudad B es de 36°. ¿Cuál es la altura aproximada del globo con respecto al suelo?

El diagrama geométrico de la situación se encuentra descrita en el archivo adjunto. La altura aproximada del globo puede obtenerse con ayuda de las funciones trigonométricas, en este caso, se recomienda utilizar la función tangente de los ángulos de depresión:

Ciudad A

\tan 27^{\circ} = \frac{h}{1500\,m-x}

0,510 = \frac{h}{1500\,m-x}

Ciudad B

\tan 36^{\circ} = \frac{h}{x}

0,727 = \frac{h}{x}

Donde h y x son la altura con respecto al suelo y la distancia horizontal con respecto a la ciudad A.

A continuación, se elimina la altura de ambas ecuaciones por igualación y se determina la distancia horizontal del globo con respecto a la ciudad A:

0,727\cdot x = 0,510\cdot (1500\,m-x)

1,237\cdot x = 765\,m

x = 618,432\,m

Finalmente, la altura del globo con respecto al suelo es:

h = 0,727\cdot x

h = 0,727\cdot (618,432\,m)

h = 449,600\,m

La altura del globo con respecto al suelo es 449,6 metros.

6 0
2 years ago
Triangle Q R S is shown. Angle Q R S is a right angle. Angle R S Q is 30 degrees and angle S Q R is 60 degrees. The length of R
brilliants [131]

The value of sin(30°) is: One-half ⇒ 2nd answer

Step-by-step explanation:

In a right triangle there are two acute angles, the side opposite to the right angle is called hypotenuse, and the other two sides are opposite and adjacent to the acute angles

  • sine the acute angle (sin) = opposite side to it/hypotenuse
  • cosine the acute angle (cos) = adjacent side to it/hypotenuse
  • Tangent the acute angle (tan) = opposite side to it/adjacent side to it

In Δ QRS:

∵ m∠QRS = 90°

∵ SQ is opposite to ∠QRS

∴ SQ is the hypotenuse

∵ SQ = 10 units

∴ The hypotenuse = 10

∵ m∠RSQ = 30°

- The opposite side to ∠RSQ is RQ

∵ RQ = 5 units

∴ The opposite side to the angle of 30° = 5

∵ sin(30°) = opposite side to 30°/hypotenuse

∵ The opposite side to angle 30° = 5

∵ The hypotenuse = 10

∴ sin(30°) = \frac{5}{10}

∴ sin(30°) = \frac{1}{2}

The value of sin(30°) is: One-half

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/9880052

#LearnwithBrainly

5 0
2 years ago
Read 2 more answers
wahaj buy a pizza for rs 800 a week later the same pizza cost re 900 when wahaj ask the manager for the reason he explains that
vazorg [7]

Answer:

it might 1700

Step-by-step explanation:

7 0
2 years ago
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