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Allushta [10]
3 years ago
6

If VT=2,what is the length of PT?

Mathematics
1 answer:
marusya05 [52]3 years ago
6 0

Step-by-step explanation:

\underline{ \underline{ \text{Given : }}}

  • Perpendicular ( P ) = VT = 2
  • Base ( b ) = PT
  • \theta =  \tt{60 \degree}

\underline{ \underline{ \text{Solution}}} :

\tt{ \tan(60 \degree)  =  \frac{perpendicualar}{base}}

⟶ \tt{ \sqrt{3}  =  \frac{2}{PT}}

⟶ \tt{ \sqrt{3}  \: PT= 2}

⟶ \tt{PT =  \frac{2}{ \sqrt{3}} }

⟶ \tt{PT= \boxed{\tt{ \frac{2 \sqrt{3} }{{3} }}}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Una torre de 28.2 m de altura esta situada a la orilla de un rio, desde lo alto del edificio el ángulo de depresión a la orilla
Svet_ta [14]

Answer:

El ancho del río es 59.9 metros.

Step-by-step explanation:

El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:

tan(\theta) = \frac{CO}{CA}

En donde:

CA: es el cateto adyacente = Altura de la torre = 28.2 m

CO: es el cateto opuesto = ancho del río =?

θ: es el ángulo adyacente a CA

Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:

\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}

Ahora, el ancho del río es:

CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m

Por lo tanto, el ancho del río es 59.9 metros.

Espero que te sea de utilidad!                  

4 0
2 years ago
Help pls ! I’ll mark brainliest!
kogti [31]

Answer:

The first and third answers are correct

Step-by-step explanation:

First answer=11/4=2.75

Second answer=4/9=0.444...

Third answer=4/3=1.333...

Fourth answer=5/9=0.5555555556

2/3=0.66666666667

5 0
2 years ago
Read 2 more answers
Which statement about scatter plots is true? A. Associated variables cannot be represented on scatter plots B. A regression line
Ratling [72]
A scatter plot or also called the scatter graph, chart or diagram is a type of plot or mathematical diagram using Cartesian coordinates to display value for typically two variables for set of data. Base on that fact, the possible answer to your question is letter D. Scatter plot can be used to represent quantitative data 
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3 years ago
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Help please and thank you
vladimir2022 [97]

Answer:

C

Step-by-step explanation:

how i figured this out was not by using the table, but you can use the table

i just asked myself what two numbers multiplied together has a product of -12, one number must me negative

the two numbers must also add up to -4, meaning the bigger number had to be negative

the only answer that worked was 2 and -6

6 0
3 years ago
D=DVDs and G=Games solve for 2D+3G=15.50 and 3D+1G=12.05
kogti [31]

We have

1G = 12.05 - 3D;

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