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3 years ago

Solving a right triangle ‼️ Can someone help me find A,a and c❓ (Round to the nearest tenth)

Mathematics

1 answer:

denis23 [38]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 48)° = 180° - 138° = 42°

----------------------------------------------------------

tan48° = $\frac{opposite}{adjacent}$ = $\frac{18}{a}$

Multiply both sides by a

a × tan48° = 18 ( divide both sides by tan48° )

a = $\frac{18}{tan48}$ ≈ 16.2 ( to the nearest tenth )

-----------------------------------------------------------

sin48° = $\frac{opposite}{hypotenuse}$ = $\frac{18}{c}$

Multiply both sides by c

c × sin48° = 18 ( divide both sides by sin48° )

c = $\frac{18}{sin48}$ ≈ 24.2 ( to the nearest tenth )

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What is the prime factor of 8

ExtremeBDS [4]

Prime factor is a factor that is a prime number.
Prime factors of :
8 : 2 × 2 × 2. Also can be written as
${2}^{3}$
12 : 2 × 2 × 3. Also can be written as
${2}^{2} \times 3$

20 : 2 × 2 × 5. Also can be written as
${2}^{2} \times 5$

30 : 2 × 3 × 5

56 : 2 × 2 × 2 ×7. Also can be written as
${2}^{3} \times 7$

70 : 2 × 5 × 7

You can find all of them by using Factor Tree [ as shown in the picture] or Dividing by prime numbers.

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3 years ago

8(C - 9) = 6(20 - 12) - 40

krek1111 [17]

Answer:

All Real Numbers

Step-by-step explanation:

Any value of c makes the equation true.

Interval Notation

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3 years ago

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Maria y juan deben realizar el mapamundi en medio pliego de cartulina para la tarea de sociales pero cada uno tiene un cuarto de

kondor19780726 [428]

Answer:

Cuando María afirma que si unen sus dos cuartos de cartulina obtendrán el medio pliego que necesitan, esto es:

Verdadero.

Step-by-step explanation:

Para entender mejor el ejercicio vamos a utilizar números cada vez que se habla de cantidades de cartulina, por lo tanto, María y Juan tienen 1/4 de cartulina cada uno, es decir, 1/4 * 2, y necesitan 1/2 pliego para poder realizar su tarea, por lo tanto, con la afirmación de María sobre unir los dos cuartos de cartulina, en caso de que sea verdadero, ocurrirá que la suma de los dos cuartos dará el medio pliego, como se muestra a continuación:

Total de cartulina de María y Juan = $\frac{1}{4}+\frac{1}{4}$
Total de cartulina de María y Juan = $\frac{4+4}{16}$
Total de cartulina de María y Juan = $\frac{8}{16}$

Procedemos a simplificar el fraccionario obtenido, sacando mitad tanto en el numerador como en el denominador:

Total de cartulina de María y Juan = $\frac{4}{8}$
Total de cartulina de María y Juan = $\frac{2}{4}$
Total de cartulina de María y Juan = $\frac{1}{2}$

Como puedes ver al final, la cantidad de cartulina de ambos, al ser sumada, da como resultado el 1/2 (medio) pliego que necesitan para su tarea de sociales, por lo cual la afirmación de María es correcta.

3 0

3 years ago

Find the equation of the line which has slope of -5 and y-intercept 7. Give your answer in the form y=mx+b

zhuklara [117]

Answer:

y = - 5x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - 5 and b = 7, thus

y = - 5x + 7 ← equation of line

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3 years ago

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1/13 In a pet store, 27 gallons of water are used to fill 5 fish tanks completely. If each tone holds

mario62 [17]

Answer:

Gallons in each tank= 5.4 G

Gallons in 2 fish tanks= 10.8 G

Step-by-step explanation:

To find the gallons of water in each tank, divide 27 gallons by 5 fish tanks.

27/5= 5.4

To find the number of gallons to fill 2 fish tanks, multiply 5.4 (gallons in 1 tank) by 2 (2 tanks).

5.4*2= 10.8

8 0

3 years ago

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