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lisabon 2012 [21]
3 years ago
15

If the two remote interior angles of a triangle measure 60 degrees and 38 degrees , what is the measure of the exterior angle.

Mathematics
1 answer:
Montano1993 [528]3 years ago
7 0

Answer:x + y + z = 180

Step-by-step explanation:

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En un triángulo rectángulo A es un ángulo agudo y Sen A = 4/5 ¿Cuál será el valor de Tan A?
Nonamiya [84]

Answer:

\displaystyle \tan A=\frac{4}{3}

Step-by-step explanation:

<u>Funciones Trigonométricas</u>

La identidad principal en trigonometría es:

sen^2A+cos^2A=1

Si sabemos que A es un ángulo agudo (que mide menos de 90°), su seno y coseno son positivos.

Dado que Sen A = 4/5, calculamos el coseno:

cos^2A=1-sen^2A

Sustituyendo:

\displaystyle cos^2A=1-\left(\frac{4}{5}\right)^2

\displaystyle cos^2A=1-\frac{16}{25}

\displaystyle cos^2A=\frac{25-16}{25}

\displaystyle cos^2A=\frac{9}{25}

Tomando raíz cuadrada:

\displaystyle cos\ A=\sqrt{\frac{9}{25}}=\frac{3}{5}

La tangente se define como:

\displaystyle \tan A=\frac{sen\ A}{cos\ A}

Substituyendo:

\displaystyle \tan A=\frac{\frac{4}{5}}{\frac{3}{5}}

\displaystyle \tan A=\frac{4}{3}

6 0
3 years ago
Which number-line model represents the sum of 1.25+(-0.75)?
SIZIF [17.4K]

Solution:

<u>A few tips...</u>

  • Tip-1: If "+" and "-" are multiplied, it gives a result of "-".
  • Tip-2: If "-" and "-" are multiplied, it gives a result of "+".
  • Tip-3: If "+" and "+" are multiplied, it gives a result of "-".

<u>Changing the sign of the given equation.</u>

  • 1.25 + (-0.75)
  • => 1.25 - 0.75                                        [Sign changes according to tip-1.]

This could only mean that the arrow would go to <u>1.25 units forward.</u> Then a second arrow will be drawn to go <u>0.75 units back.</u>

The graph that matches with the above info is Option C.

5 0
3 years ago
Joey’s mom baked (30) cookies. That night, there were 21 cookies left. What percentage of the cookies were eaten?
katrin2010 [14]

Answer:

About 97%

Step-by-step explanation:

5 0
3 years ago
Please Help!!!!! I have a math test and I am not good at this stuff. and here is a hint: don't use the 10.
Talja [164]
A. 12•8=96, 96/2=48, 48•4=192, 12•12=144, 192+144=336
5 0
3 years ago
A survey was conducted that asked 1002 people how many books they had read in the past year. results indicated that x overbar eq
Shalnov [3]
The confidence interval would be (10.44, 12.16).  This means that if we take repeated samples, the true mean lies in 90% of these intervals.

To find the confidence interval, we use:
\overline{x} \pm z*(\frac{\sigma}{\sqrt{n}})

We first find the z-value associated with this.  To do this:
Convert 90% to a decimal:  90% = 90/100 = 0.9
Subtract from 1:  1-0.9 = 0.1
Divide by 2:  0.1/2 = 0.05
Subtract from 1:  1-0.05 = 0.95

Using a z-table (http://www.z-table.com) we see that this is directly between two z-scores, 1.64 and 1.65; we will use 1.645:

11.3 \pm 1.645*(\frac{16.6}{\sqrt{1002}})&#10;\\&#10;\\11.3 \pm 0.86&#10;\\(11.3-0.86, 11.3+0.86)&#10;\\(10.44, 12.16)
3 0
4 years ago
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