Solve for the slope between the two orderd pairs: (5,3) (8,5)

ZB= Round your answer to the nearest hundredth. A 4 B с 3

Mice21 [21]

Answer:

Step-by-step explanation:

The opposite side to angle B is 4. It is the line AC. AC is not connected in any way to <B

The adjacent side is one of the two sides making up <B. It is 3.

Tan(B) = opposite / adjacent

Tan(B) = 4/3

<B = tan-1(4/3)

<B = 53.13

6 0

2 years ago

Indicate whether x and y show direct variation. 3 + y = 5x

dolphi86 [110]

Answer:

Let's understand the solution in detail.

Explanation:

Given: 5x = 3y

We can rearrange it as y = 5x / 3

Hence, we see that y ∝ x, and the equation is of the form y = kx, where k is the proportionality constant. This denotes that y varies directly with x.

Here k = 5 / 3.

Hence, the equation represents a direct variation, and the constant of variation is k = 5 / 3.

7 0

2 years ago

Suppose the rate of type II diabetes in 40- to 59-year-olds is 7% among Caucasians, 10% among African-Americans, 12% among Hispa

melomori [17]

Answer:

The overall probability of type II diabetes among 40- to 59-year-olds in Houston is 9.3%.

Step-by-step explanation:

We have these following rates of type II diabetes:

7% among Caucasians

10% among African-Americans

12% among Hispanics

5% among Asian-Americans.

The ethnic distribution of Houston is:

30% Caucasian

25% African-American

40% Hispanic

5% Asian-American

What is the overall probability of type II diabetes among 40- to 59-year-olds in Houston?

$P = P_{1} + P_{2} + P_{3} + P_{4}$

$P_{1}$ is the probability of finding a Caucasian with type II diabetes in Houston. So it is 7% of 30%.

$P_{1} = 0.07*0.30 = 0.021$

$P_{2}$ is the probability of finding an African-American with type II diabetes in Houston. So it is 10% of 25%.

$P_{2} = 0.1*0.25 = 0.0215$

$P_{3}$ is the probability of finding a Hispanic with type II diabetes in Houston. So it is 12% of 40%.

$P_{3} = 0.12*0.40 = 0.048$

$P_{4}$ is the probability of finding an Asian-American with type II diabetes in Houston. So it is 5% of 5%.

$P_{3} = 0.05*0.05 = 0.0025$

$P = P_{1} + P_{2} + P_{3} + P_{4} = 0.021 + 0.0215 + 0.048 + 0.0025 = 0.093$

The overall probability of type II diabetes among 40- to 59-year-olds in Houston is 9.3%.

4 0

3 years ago

The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where x represents the small

Natali [406]

ANSWER

${x}^{2} + x - 72 = 0$

EXPLANATION

The given equation is

$x(x + 1) = 72$

Expand the parenthesis to obtain;

${x}^{2} + x = 72$

Add -72 to both sides of the equation.

${x}^{2} + x - 72 = 0$

Hence the equation that can be factored and solve for the smaller integer is

${x}^{2} + x - 72 = 0$

7 0

3 years ago

Read 2 more answers

Austin's eye-level height is 120 ft above sea level, and Anna's eye level height is 270 ft above sea level. How much further can

9966 [12]

Answer:

C

Step-by-step explanation:

$Austin = \sqrt{ \frac{3h}{2} } \\ \\ Austin = \sqrt{ \frac{3(120)}{2} } \\ \\ Austin = \sqrt{3(60)} \\ \\ Austin = \sqrt{180} \\ \\ Austin = 6 \sqrt{5}$

$Ana = \sqrt{ \frac{3h}{2} } \\ \\ Ana = \sqrt{ \frac{ 3(270)}{2} } \\ \\ Ana = \sqrt{ 3(135) } \\ \\ Ana = \sqrt{405} \\ Ana = 9 \sqrt{5}$

How much further can Anna see to the horizon?

$Ana - Austin = 9 \sqrt{5} - 6 \sqrt{5} \\ Ana - Austin = 3 \sqrt{5}$

6 0

2 years ago