Answer:
B. m∠B = 118°, a = 17, c = 18
Step-by-step explanation:
The answer choices all agree on the values of ∠B and c, so we only need to compute the value of side a.
We can verify angle B is ...
∠B = 180° -30° -32° = 118°
By the law of sines, ...
a/sin(A) = b/sin(B)
Multiplying by sin(A), we get ...
a = b·sin(A)/sin(B) = 30·sin(30°)/sin(118°) ≈ 16.98855
a ≈ 17.0 . . . units . . . . . matches choice B
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If you like, you can also verify side c:
c = b·sin(C)/sin(B) = 30·sin(32°)/sin(118°) ≈ 18.00512
c ≈ 18.0 . . . units
Answer:15
Step-by-step explanation:
If 85% pass then 15% failed and 15% of 1,200 is 180 so 180 people failed.
Answer:
67
Step-by-step explanation:
Step-by-step explanation:
We are asked to simply (2√5 + 3√2)². Using formula: (a + b)² = a² + b² + 2ab. Let's say 2√5 = a, 3√2 = b. So,
→ (a + b)² = a² + b² + 2ab
→ (2√5 + 3√2)² = (2√5)² + (3√2)² + 2(2√5)(3√2)
We are aware about the fact that root means 1/2 and square of root means 2/2 that is 1. Using this we get:
→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2√5)(3√2)
Solve the brackets, to do so first put the like terms in one box.
→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2*3)(√5)(√2)
Solve the rest calculations.
→ (2√5 + 3√2)² = 20 + 18 + 2(6)(√10)
→ (2√5 + 3√2)² = 38 + 12√10
Option (a) (38 + 12√10) is the correct option.
Responder:
y = 200x + 2000
Explicación paso a paso:
Deje que la ecuación lineal se exprese como y = mx + c
m es la pendiente
c es la intersección
Si la empresa produce $ 10 unidades, sus costos totales son $ 4000 dólares y si produce $ 15 unidades sus costos ascienden a $ 5000 dólares, entonces podemos representar esto como puntos de coordenadas;
(10,4000) y (15,5000)
Conseguir la pendiente
m = 5000-4000 / 15-10
m = 1000/5
m = 200
Obtener la intersección c
Sustituya m = 2000 y el punto (10, 4000) en la fórmula y = MX + c
4000 = 200 (10) + c
4000-2000 = c
c = 2000
Sustituya m = 200 y c = 2000 en la ecuación y = mx + c
y = 200x + 2000
Por tanto, la expresión lineal requerida es y = 200x + 2000
