Find x of the triangle

Mathematics

1 answer:

sukhopar [10]2 years ago

5 0

Answer:

Step-by-step explanation:

altitude = sqrt(6*8) = 4*sqrt(3)

Use the Pythagorean Theorem to derive x

altitude^2 + 18^2 = x^2

48 + 18^2 = x^2

x^2 = 342

x = 3*sqrt(38)

x = 18.49

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Construct a linear function, f(x), to model the ordered pairs (6, 2) and (7, −5). f(x) = 7x + 44 f(x) = x + 4 f(x) = −44x + 7 f(

Sonbull [250]

First we find the slope between the two given points.

m = (y2 - y1)/(x2 - x1) = (-5 - 2)/(7 - 6) = -7/1 = -7

Now we use the slope-intercept equation of a line.

y = mx + b

We use one point as x and y, and we solve for b.

2 = -7(6) + b

2 = -42 + b

b = 44

The equation is

y = -7x + 44

Answer: f(x) = -7x + 44

4 0

3 years ago

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andrey2020 [161]

Answer:

11.01

Step-by-step explanation:

3.78+4.51+2.72=11.01

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3 years ago

30 POINTS

PtichkaEL [24]

Answer:

180 degrees per second.

Step-by-step explanation:

We have been given a graph that shows the distance covered by a tire or angular velocity of a tire with respect to the number of seconds (x).

Since we know that a tire is a circle and the measure of all the angles of a circle equals to 360 degrees.

We can see from our given graph that the tire completes one rotation in 2 seconds (2.5-0.5), so the distance covered by tire in two seconds will be 360 degrees. This means that the tire turns 360 degrees in each 2 seconds.

$\text{Degrees turned by tire in 2 seconds}=\frac{360^o}{2\text{ seconds}}$

As we are asked to find the degree change by tire per second so we will find the unit rate such that we will have 1 in our denominator. By dividing our numerator and denominator by 2 we will get,

$\text{Degrees turned by tire in every second}=\frac{180^o}{\text{ second}}$