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Keith_Richards [23]

3 years ago

5

Rob buys 6 tickets to the basketball game. He pays$8.50 for parking. His total cost is $40.54. What is the cost of each ticket?

Plzzzzzzzz tell me what it is

1 answer:

Bezzdna [24]3 years ago

7 0

Answer:

Step-by-step explanation:

26.04

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If the points (0,0), (-1, 1), and (-2,2) lie on the graph of function h, then which of the following rules could represent the

Alex Ar [27]

Answer: h(x) = |x|

Explanation:

h(0) = |0| = 0

h(-1) = |-1| = 1

h(-2) = |-2| = 2

4 0

3 years ago

A farmer plans to enclose two adjacent rectangular pens against a barn wall (see figure).

Licemer1 [7]

Answer: Let's assume that the pig pens need to be fenced in the way shown in the diagram above.

Then, the perimeter is given by

4

x

+

3

y

=

160

.

4

x

=

160

−

3

y

x

=

40

−

3

4

y

The area of a rectangle is given by

A

=

L

×

W

, however here we have two rectangles put together, so the total area will be given by

A

=

2

×

L

×

W

.

A

=

2

(

40

−

3

4

y

)

y

A

=

80

y

−

3

2

y

2

Now, let's differentiate this function, with respect to y, to find any critical points on the graph.

A

'

(

y

)

=

80

−

3

y

Setting to 0:

0

=

80

−

3

y

−

80

=

−

3

y

80

3

=

y

x

=

40

−

3

4

×

80

3

x

=

40

−

20

x

=

20

Hence, the dimensions that will give the maximum area are

20

by

26

2

3

feet.

A graphical check of the initial function shows that the vertex is at

(

26

2

3

,

1066

2

3

)

, which represents one of the dimensions that will give the maximum area and the maximum area, respectively.

Hopefully this helps!

Step-by-step explanation: hope this helps

3 0

3 years ago

Some one help me before I fail this class.

hichkok12 [17]

35 because you can not multiply both numbers by the same number to get a smaller Greatest common multiple

4 0

2 years ago

Help with this question.

pychu [463]

Answer:

$angleS=83^o$

$angleR=23^o$

Step-by-step explanation:

<h3><u>The Law of Sines</u></h3>

The Law of Sines states that for a given triangle (in a plane), the ratio formed by the Sine of any one of the three interior angles and the side across from it is equal to a common number.

If a triangle is drawn in standard form, with the three vertices identified as A, B, and C, and the interior angles at each vertex simply identified as angleA, angleB, angleC, the sides across from those angles are identified as a, b, and c, respectively. Given such a labeling for a triangle, the Law of Sines gives the following equation:

$\frac{sin(angleA)}{a} =\frac{sin(angleB)}{b} =\frac{sin(angleC)}{c}$

From the picture you presented, with triangle RST, side r is on the right and unlabeled, side s is shown in red, and side T is shown in green. The interior angles for R and S are unlabeled, and angle T is defined as 74 degrees. The Law of Sines would give the following relationship for your triangle:

$\frac{sin(angleR)}{r} =\frac{sin(angleS)}{s} =\frac{sin(angleT)}{t}$

Substituting known values...

$\frac{sin(angleR)}{r} =\frac{sin(angleS)}{12.7ft} =\frac{sin(74^{o} )}{12.3ft}$

It should be noted that without information about the length of side r, angle R cannot be found directly with the Law of Sines because that portion of the equation holds two unknowns. However, if the other two angles of the triangle are known, angle R can be solved for by using the Triangle Sum Theorem.

<h3><u>Finding Angle S</u></h3>

Focusing in on the ratio with known values on the far right, and the ratio containing angleS first:

$\frac{sin(angleS)}{12.7ft} =\frac{sin(74^{o} )}{12.3ft}$

... multiplying both sides of the equation by 12.7 ft...

$sin(angleS) =\frac{sin(74^{o} ) * 12.7ft}{12.3ft}$

Note that the right side of the equation has units of feet in both the numerator and denominator (with no addition or subtraction), so the units will cancel. Simplifying the right side of the equation by evaluating the expression in a calculator (make sure you're in "degree" mode), will yield a unit-less number:

$sin(angleS) = .9925222389...$

Undoing the sine function, and solving for the measure of angle S will require taking the "arcsin" of both sides of the equation...

$arcsin(sin(angleS))=arcsin(0.9925222389...)\\angleS=arcsin(0.9925222389...)\\angleS=82.98876661...^o\\angleS=83^o$ <u />

<u />

<h3><u>Finding Angle R</u></h3>

Knowing both angleS and angleT, we can apply the Triangle Sum Theorem to solve for angle R.

Triangle Sum Theorem: The sum of all 3 interior angles in a triangle (in a plane) is 180 degrees.

$angleR+angleS+angleT=180^o\\angleR+83^o+74^o=180^o$

Using the subtraction property of equality to isolate angleR and combining like terms...

$angleR=180^o-83^o-74^o\\angleR=23^o$

8 0

2 years ago

Hei has the element shown for his science experiment. How many kilograms of the material does he have?

Law Incorporation [45]

Answer:

3.508 kg of the material

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Given that:

1 kilogram is 1000 grams.

A box that has three thousand, five hundred eight grams <=> 3508 grams

How many kilograms of the material does he have? we have got:

x kg - 3508g

<=> 1000x = 3508

<=> $x = \frac{3508}{1000}$

<=> x = 3.508

So he has 3.508 kg of the material

Hope it will find you well.

3 0

3 years ago