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3 years ago

14

Find the length of GF

2 answers:

laila [671]3 years ago

5 0

Answer:

It's 6.49. And Hello Jonathan

Step-by-step explanation:

Cerrena [4.2K]3 years ago

3 0

By the Pythagorean Theorem:

The square of the hypotenuse (longest side) of a right triangle is equal to the sum of the side lengths squared, or mathematically:

h^2=x^2+y^2, where x and y are the side lengths and h is the length of the hypotenuse, in this case:

9.4^2=6.8^2+GF^2

GF^2=9.4^2-6.8^2

GF^2=42.12

GF=√42.12 units

GF≈6.49 units (to nearest hundredth of a unit)

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slava [35]

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2 years ago

Read 2 more answers

Given that f(x)=x2-1 and g(x)=2x+8 find (g-f)(10)

irga5000 [103]

Answer:

<h2>(g-f)(10) = - 71</h2>

Step-by-step explanation:

f(x) = x² - 1

g(x) = 2x + 8

To find (g-f)(10) first find ( g - f)(x)

To find ( g - f)(x) subtract f(x) from g(x)

That's

( g - f)(x) = 2x + 8 - ( x² - 1)

Remove the bracket

( g - f)(x) = 2x + 8 - x² + 1

Simplify

( g - f)(x) = - x² + 2x + 9

To find (g-f)(10) substitute the value in the bracket that's 10 into ( g - f)(x)

That is

(g-f)(10) = -(10)² + 2(10) + 9

= - 100 + 20 + 9

= - 100 + 29

= - 71

Hope this helps you

7 0

3 years ago

A pair of Jordans sold at retail for $180 and now sell for $330 after market. A. Is this a percent INCREASE or DECREASE, what is

Elza [17]

Answer:

This is a percent INCREASE

The percent change is 83.33%

Step-by-step explanation:

Let us solve the question

∵ A pair of Jordans sold at retail for $180

∴ The initial price = 180

∵ Now it sells for $330 aftermarket

∴ The new price = 330

→ That means the new price is greater than the initial price

∵ The new price is greater than the initial price

∴ This is a percent INCREASE

∵ The percent of change = (amount of increase ÷ initial amount) × 100%

∵ The amount of increase = new price - initial price

∴ The amount of increase = 330 - 180 = 150

→ Substitute it in the rule of percent of increase above

∵ The percent change = $\frac{150}{180}$ × 100%

∴ The percent change = $\frac{5}{6}$ × 100%

∴ The percent change = 83.33%

4 0

3 years ago

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3 years ago

A garden in the shape of a trapezoid has an area of 44.4 square

Leviafan [203]

Answer:

37 meters

Step-by-step explanation:

The equation for the area of a trapezoid is $A=\frac{a+b}{2} +h$ .

Here, $a = 4.3$ , $b=10.5$ , and $h$ is unknown.

$44.4=\frac{4.3+10.5}{2} +h$

$44.4=\frac{14.8}{2} +h$

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The height of the trapezoid is the width of the garden, so the garden is 37 meters wide.

5 0

3 years ago