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4 years ago

Plez help

1 answer:

4 0

110 is the price that is charged for every time the commercial is aired. 900 is a base price that they charge to air the commercial.

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Simplify the expression. The expression is (5x+1/2)+(9x-2 1/2)

Alexxandr [17]

All you have to do here is combine like terms.
5x + 9x = 14x
.5 - 2.5 = -2

14x - 2

5 0

3 years ago

Hey.... sorry for that, are you still mad at me ?

Digiron [165]

Answer:

do u mean me???

8 0

3 years ago

Read 2 more answers

The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.

MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle = $3\times\ side$

$3\times\ side$ $=[tex]81\sqrt{3}$

$Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm$

Thus from the diagram , Side $AB=BC=AC= 27\sqrt{3} \ cm$

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus $\angle OBC = 30$ °

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

$tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2} } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\$

Thus ,apothem OE= 13.5 cm

Now for radius,

We consider ΔOBE

$cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB} \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm$

Thus for

Perimeter of equilateral triangle ABC is 81/√3 centimeters,

The radius of equilateral triangle ABC is 27 cm

The apothem of equilateral triangle ABC is 13.5 cm

4 0

3 years ago

Need help please !!!

irina1246 [14]

sin^2 x + 4 sinx +3 3 + sinx

-------------------------- = -------------------

cos^2 x 1 - sinx

factor the numerator

(sinx +3) (sinx+1) 3 + sinx

-------------------------- = -------------------

cos^2 x 1 - sinx

cos^2 = 1-sin^2x

(sinx +3) (sinx+1) 3 + sinx

-------------------------- = -------------------

1- sin^2x 1 - sinx

factor the denominator

(sinx +3) (sinx+1) 3 + sinx

-------------------------- = -------------------

(1-sinx ) (1+sinx) 1 - sinx

cancel the common term (1+sinx) and (sinx +1)

(sinx +3) 3 + sinx

-------------------------- = -------------------

(1-sinx ) 1 - sinx

reorder the first term

3+sinx 3 + sinx

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(1-sinx ) 1 - sinx

3 0

3 years ago

1 Javier has at most $15.00 to spend today. He buys a bag of pretzels and a bottle of juice for $2.59. If gasoline at this store

Art [367]

Answer:

Javier can buy at maximum about 3.7 gallons of oil.

Step-by-step explanation:

Let g represent the amount of gasoline in galloons.

We know that Javier has at most $15.00 to spend. In other words, the total cost after buying the snacks and gasoline must be less than or equal to 15.

He already bought a snack and a drink for a total of $2.59.

And each gallon of gasoline costs $3.39.

So, we can write the following inequality:

$2.59+3.39g\leq 15.00$