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Kisachek [45]
3 years ago
8

You're given two side lengths of 6 centimeters and 9 centimeters. Which measurement can you use for the length of the third side

to construct a
valid triangle?
3 centimeters
10 centimeters
12 centimeters
14 centimeters
18 centimeters
Mathematics
1 answer:
professor190 [17]3 years ago
6 0

Answer:

Let's give names to the all sides a=6 , b=9 and c=?

Third sides of an triangle is determined by the following double  inequality, in this case b>a => b-a < c < b+a => 9-6 < c < 9+6 =>

3 < c < 15 => c belongs to the interval (3,15), let's take c=4, if we check for example side b => a>c => a-c < b < a=c => 6-4 < 9 < 6+4 =>

2 < 9 < 10 , inequality is true.

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Hola, estoy empezando a ver trigonometria queria ver si me pueden ayudar con este problema: Un extraterrestre diminuto pero horr
Kryger [21]

Answer:

El agente debe disparar a un ángulo aproximado de 87.7° con respecto a la horizontal.

Step-by-step explanation:

Sea E la localización del extraterrestre, O, el del hombre de negro, y B, el de la base del edificio. A partir de la información disponible, construimos el diagrama geométrico que indica la presencia de un triángulo rectángulo, el cual puede consultarse en la imagen adjunta.

Podemos determinar el ángulo de disparo mediante la siguiente relación trigonométrica inversa:

A = \tan^{-1} \frac{443\,m}{18\,m}

A \approx 87.7^{\circ}

El agente debe disparar a un ángulo aproximado de 87.7° con respecto a la horizontal.

3 0
3 years ago
If a translation maps ∠D onto ∠B, which of the following statements is true? triangle CAB, point E is on segment AC between poin
mrs_skeptik [129]

Answer:

The correct option is;

ΔCED ~ ΔCAB

Step-by-step explanation:

Given that the translation maps angle ∠D to angle ∠B, we have;

Angle ∠D is congruent to ∠B (Given)

Segment ED is parallel to segment AB (lines having similar angles to a common transversal)

Therefore, ∠A is congruent to ∠E, (Angle on the same side of a transversal to two parallel lines)

∠C is congruent to ∠C reflexive property

Therefore, we have;

∠C ≅ ∠C

∠E ≅ ∠A  

∠D ≅ ∠B

Which gives ΔCED is similar to ΔCAB (not ΔCBA)

4 0
3 years ago
A right rectangular prism's edge lengths are 14 inches, 6 inches, and 3 1/3 inches. How many unit cubes with edge lengths of 2/5
DochEvi [55]

ANSWER

4375 unit cubes

EXPLANATION

The volume of a right rectangular prism is given by;

V=lbh

We substitute the given dimension to obtain,

V=14 \times 6 \times  \frac{10}{3}  = 280i {n}^{3}

The volume of the unit cube with edge lengths

\frac{2}{5}

is

(\frac{2}{5})^{3}  =  \frac{8}{125}  {in}^{3}

To find the number of unit cubes that can fit inside the prism, we divide the volume of the rectangular prism by the volume of the unit cube.

=  \frac{280}{ \frac{8}{125} }

= 4375

7 0
3 years ago
An archaeologist earns $9147 monthly. Determine the amount he is paid annually.
Mnenie [13.5K]
$9147 x 12 =190,764
12 is how many months there is in a year
4 0
3 years ago
Fido wants to buy a new car. He will need to get a car loan. Fido decides to wait for a few months until his credit history
Marta_Voda [28]

Answer:

Fido's decision is sensible because the cost of the car loan should be less this credit history improves

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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