Oliver purchased 11.3 gallons of gasoline. There are approximately 3.8 liters

One of the legs of a right triangle measures 9 cm and the other leg measures 11 cm.

ikadub [295]

Answer:

$\boxed {\boxed {\sf 14.2 \ cm}}$

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.

$a^2+b^2=c^2$

where <em>a</em> and<em> b</em> are the legs and <em>c</em> is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:

a= 9 cm
b= 11 cm

Substitute these values into the formula.

$(9 \ cm)^{2} +(11 \ cm)^{2} =c^{2}$

Solve the exponents.

(9 cm)²= 9 cm*9 cm=81 cm²

$81 \ cm^{2} +(11 \ cm)^{2} =c^{2}$

(11 cm)²= 11 cm*11 cm= 121 cm²

$81 \ cm^{2} +121 cm^{2} =c^{2}$

Add the values on the left side.

$202 \ cm^{2} =c^{2}$

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

$\sqrt {202 \ cm^{2} }=\sqrt{c^{2} }$

$\sqrt {202 \ cm^{2} }=c$

$14.2126704036 \ cm =c$

We are told to round to the nearest tenth.

14.2<u>1</u>26704036

The 1 in the hundredth place tells us to leave the 2 in the tenth place.

$14.2 \ cm= c$

The hypotenuse is equal to <u>14.2 centimeters.</u>

3 0

3 years ago

Dan is on his way home in his car. He has driven 10 miles so far, which is one-half of the way home. What is the total length of

dusya [7]

Answer:

20 miles

Step-by-step explanation:

10miles × 2 = 20miles

3 0

3 years ago

Read 2 more answers

What is the best approximation for the perimeter of polygon ABCDE? A. 11.0 units B. 17.0 units C. 24.3 units D. 22.1 units

erastovalidia [21]

TheThe best approximation for the perimeter of polygon ABCDE is: C. 24.3 units.

<h3>Perimeter of polygon</h3>

Coordinate:

A=(-2,3)

B=(0,6)

C=(5,4)

D=(4,-1)

E=(-1,-2)

Distance AB=√(0+2)²+(6-3)²

Distance AB=√4+9

Distance AB=√13

Distance BC=√(5-0)²+(4-6)²

Distance BC=√25+4

Distance BC=√29

Distance CD=√(4-5)²+(-1-4)²

Distance CD=√1+25

Distance CD=√26

Distance DE=√(-1-4)²+(-2+1)²

Distance DE=√25+1

Distance DE=√26

Distance EA=√(-2+1)²+(3+2)²

Distance EA=√1+25

Distance EA=√26

Perimeter of pathogen ABCDE

=AB+BC+CD+DE+EA

=√13+√29+√26+√26+√26

=√13+√29+3√26

=24.2877 units
= 24.3 units (Approximately)

Therefore the correct option is C.

Learn more about Perimeter of polygon here:brainly.com/question/3310006

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7 0

2 years ago

Read 2 more answers

A local candy shop sells boxes of chocolate for $3.75 each. If a customer purchases six or more boxes, the cost is only $3.25 pe

blagie [28]

The piecewise function that models the scenario is:

c(x) = $3.75*x + $5 if x < 6

c(x) = $3.25*x + $5 if x ≥ 6.

<h3>How to write a piecewise function?</h3>

A piecewise function is a function that behaves differently in different intervals of the domain, like this one, where the cost per box changes depending on the number of box.

The function in this case, if we define x as the number of boxes bought, is: