Answer:
12% increase
Step-by-step explanation:
Each year the sales increase by $50,000.
430,000 + 50,000 = 480,000
480,000 + 50,000 = 530,000
To find the percent change, write a proportion using 2 of the years.
To solve for x, cross multiply the numerator with the denominator of each fraction.
480,000(100) = 430,000(x)
48,000,000 = 430,000x
111.62 = x
Rounded this is 112% or 12% above 100%.
The width of the lake is approximately 4.93 kilometers.
To calculate the width of the lake, you can use trigonometry. You have a triangle with one side of 5 km (from point C to point A), another side of 8 km (from point C to point B), and an included angle of 36 degrees at point C.
You can use the law of cosines to find the third side, which is the width of the lake (let's call it "x"). The law of cosines states:
Where:
c is the side you want to find (the width of the lake, in this case).
a is the side opposite to angle A (5 km).
b is the side opposite to angle B (8 km).
C is the included angle at point C (36 degrees).
So, plug in the values:
(36 degrees)
Now, you can solve for x:
(36 degrees)
(36 degrees)
Now, you'll need to calculate the cosine of 36 degrees, which is approximately 0.809.
Now, take the square root of both sides to find the width of the lake:
x ≈ √24.28
x ≈ 4.93 km
So, the width of the lake is approximately 4.93 kilometers.
for such more question on triangle
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Hi mods, I do have a link in this answer but it is a link to the spanish version of brainly since this user seems to speak spanish.
Por favor, traduzca su pregunta al inglés o encuentre la versión en español de Brainly (https://brainly.com.br/ o https://brainly.lat/.)
Estoy usando el traductor de google, lo siento por el mal español
ver diagrama adjunto abajo (el asombrosamente dibujado)
podemos formar un triangulo
Usa la ley de los cosenos del segundo apego.
Queremos encontrar el valor de c que representa el ancho del lago
En este problema, a=5, b=8, y C=36°
c≈4.92734 km
el ancho del lago es de aproximadamente 4.93km
Answer:
Inequality:
Solved:
Step-by-step explanation:
The joint probability function for X and Y is legitimate because the sum of all probabilities is equal to 1 and the probabilities are non-negative. Each point in the domain has a corresponding probability.b. p(1,2) means the probability of X=1 and Y=2. p_x(3) = 0.1 + 0.05 = 0.15.
a. Probability function is considered legitimate when the sum of all the probabilities is 1, the probabilities are non-negative and each point in the domain must have a corresponding probability. Here, the joint probability function for X and Y is legitimate because the sum of all probabilities is equal to 1 and the probabilities are non-negative. Each point in the domain has a corresponding probability.b. p(1,2) means the probability of X=1 and Y=2. We can see from the table that p(1,2) = 0.04.c. P(X<1, Y≥2) means the probability of X being less than 1 and Y being greater than or equal to 2. We can find the probabilities by adding up all the probabilities in the cells that meet this condition. From the table, we can see that the cells (0,2) and (0,3) meet this condition. Therefore, P(X<1, Y≥2) = 0.01 + 0.01 = 0.02.d. We need to find p_x(3), which means the probability of X=3. We can find this by adding up all the probabilities where X=3. From the table, we can see that the cells (3,1) and (3,2) meet this condition. Therefore, p_x(3) = 0.1 + 0.05 = 0.15.
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Answer:
160
Step-by-step explanation:
226
-160
____
66
-64 (4 in the quotient)
____
2