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3 years ago

What is the length of the hypotenuse of the triangle?

Mathematics

2 answers:

Colt1911 [192]3 years ago

6 0

Answer:

8.1 ft

Step-by-step explanation:

hyp² = side² + side²

hyp² = 7² + 4²

hyp² = 49 + 16

hyp² = 65

hyp = sqrt of 65

hyp = 8.1 ft

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aksik [14]3 years ago

5 0

Answer:

$\large\boxed{\sqrt{65}\ ft}$

Step-by-step explanation:

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have

$leg=4ft,\ leg=7ft,\ hypotenuse=AB$

Substitute:

$AB^2=4^2+7^2\\\\AB^2=16+49\\\\AB^2=65\to AB=\sqrt{65}$

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Find the average rate of change from x = 3 to x = 15 for the function f(x) = 0.01(2)x

julsineya [31]

The average rate of change for this is the slope of the secant line that connects those 2 points (3, y) and (15, y). What we need for the slope formula of change in y over change in x are the y values which are unknown as of right now. We can find them though! Don't worry! The equation is y = .01(2)^x. Using that equation, let's sub in both the 3 and the 15 and find the corresponding y values. Subbing in first a 3 gives you y = .01(2)^3, and y = .08. Subbing in a 15 gives you y = .01(2)^15 and y = 327.68. Now we have the coordinates we need to find the slope of the secant line connecting those 2 points: (3, .08) and (15, 327.6). Fitting those into the slope formula gives us (327.68-.08)/(15-3). Simplifying that is 327.6/12 which divides out to 27.3

3 0

3 years ago

Shannon is selling boxes cookies and candy for a fundraiser. She's sold each box of cookies for $5.25. She also sold one one box

defon

Answer:

The minimum boxes of cookies is 39

Step-by-step explanation:

Let

x ----> the number of boxes of cookies sold

y ----> the number of boxes of candies sold

we know that

The word "at least" means "greater than or equal to"

The inequality that represent this problem is

$5.25x+8.75y\geq 200$

The solution is the shaded area above the solid line $5.25x+8.75y=200$

using a graphing tool

The solution is the shaded area -----> see the attached figure

Find out the minimum boxes of cookies needed to sell to reach the goal

assuming only cookies are sold

For y=0

$5.25x+8.75(0)\geq 200$

$5.25x\geq 200$

solve for x

$x\geq 38.1$

Round up

therefore

The minimum boxes of cookies is 39

5 0

3 years ago

Is y=x^2-6 a linear function and why

jarptica [38.1K]

Answer:

No.

Step-by-step explanation:

No, y=x²-6 is not a linear function.

This is because all linear functions have the highest exponent of 1. Anything equation that has a variable raised to a power other than 1 is not linear.

The equation provided as the highest exponent of 2. Thus, it's not linear.

From the provided graph, we can also see that this is quadratic instead of linear. The graph is a parabola instead of a line.