I have no clue how to do this problem:

Maslowich

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8 0

3 years ago

A right triangle has side lengths 7, 24, and 25 as shown below.

Alla [95]

9514 1404 393

Answer:

tan(A) = 7/24
sin(A) = 7/25
cos(A) = 24/25

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you remember the trig ratios:

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

With respect to angle A, the sides are Adjacent = 24; Opposite = 7, Hypotenuse = 25. Then the desired trig ratios are ...

tan(A) = 7/24

sin(A) = 7/25

cos(A) = 24/25

5 0

3 years ago

The volume of water in a tank is modeled by the function y = 1.15x3 – 0.1x2 + 2 where x is the number of minutes after the fauce

Thepotemich [5.8K]

Given:

The volume of water in a tank is modeled by the function

$y=1.15x^3-0.1x^2+2$

where, x is the number of minutes after the faucet filling the tank is turned on.

To find:

The y-intercept and what does it represent in this context?

Solution:

We have,

$y=1.15x^3-0.1x^2+2$

Substituting x=0, we get

$y=1.15(0)^3-0.1(0)^2+2$

$y=0-0+2$

$y=2$

Therefore, the y-intercept is 2 and it represents the volume of water in a tank before the faucet filling the tank is turned on.

7 0

3 years ago

Read 2 more answers

Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his

evablogger [386]

Answer/Step-by-step explanation:

a. Using a point on the graph, (6, 12), and the slope of the line, we can first generate an equation in the point-slope form, given as $y - b = m(x - a)$ , where,

m = slope, and (a, b) is a point on the line.

Using two points, (6, 12) and (3, 21), let's find slope, m.

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{21 - 12}{3 - 6} = \frac{9}{-3} = -3$

Using a point (6, 12) and slope, m = -3, generate an equation in the point-slope form by substituting a = 6, b = 12, and m = -3 in $y - b = m(x - a)$ .

✅Equation in point-slope form would be:

$y - 12 = -3(x - 6)$

Rewrite this to make it be in the slope-intercept form, $y = mx + b$ .

$y - 12 = -3(x - 6)$

$y - 12 = -3x + 18$

Add 12 to both sides

$y = -3x + 18 + 12$

$y = -3x + 30$

✅The equation in slope-intercept form is $y = -3x + 30$

b. ✍️Based on the linear model, $y = -3x + 30$ , the 30 represents b = y-intercept.

✅Therefore, it took Peter 30 mins long initially to deliver his package.

✍️Based on the linear model, $y = -3x + 30$ , "-3" represents the slope.

✅Therefore, Peter's delivery time decreased 3 mins per day.

6 0

3 years ago

The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 10% of his custome

Rainbow [258]

Answer:

0.55% probability that exactly 5 out of the first 13 customers buy a magazine

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they buy a magazine, or they do not. The probability of a customer buying a magazine is independent of other customers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$