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3 years ago

Find the radius and the circumference to the nearest hundredth when d ≈ 3.4 in. Use 3.14 for π.

Mathematics

1 answer:

valentina_108 [34]3 years ago

4 0

Radius = d/2 = 1.7 in

circumference = πd ≈ 3.14*3.4 in = 10.68 in

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5.Write each algebraic expression in simplest form.

Hatshy [7]

Answer:

=12x+y

Step-by-step explanation:

Combine like terms

=5x+-3y+7x+4y

=(5x+7x)+(-3y+4y)

=12x+y

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Determine the factors of x2 − 7x − 10. (5 points) a (x + 2)(x − 5) b Prime c (x − 2)(x + 5) d (x + 10)(x − 1)

Savatey [412]

For this case we must factor the following expression:

$x ^ 2-7x-10$

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It is observed that there are not two whole numbers that comply with the aforementioned.

Thus, the following equation applies:

$x = \frac {-b \pm\sqrt{b ^ 2-4 (a) (c)}} {2 (a)}$

Where:

$a = 1\\b = -7\\c = -10$

We replace:

$x = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (1) (- 10)}} {2 (1)}\\x = \frac {7 \pm \sqrt {49 + 40}} {2}\\x = \frac {7 \sqrt {89}} {2}$

So, the roots are:

$x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}$

Answer:

$x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}$

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3 years ago

A corporate team-building event costs $32, plus an additional $1 per attendee. If there are 66 attendees, how much will the corp

faust18 [17]

Answer:

corporate team-building event cost will cost $98

Step-by-step explanation:

A corporate team-building event costs $32, plus an additional $1 per attendee.

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So a situation where there are 66 attendees, the total cost will be

C($) = 32 +66(1)

C($) = 32+66

C($)= 98

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3 years ago

Which situation describes a car that can travel $40 miles per gallon of gasoline?

Salsk061 [2.6K]

Answer:

A car can travel 80 miles on 2 gallons of gasoline.

Step-by-step explanation:

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3 years ago