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3 years ago

In APQR, p = 690 cm, a = 290 cm and r=450 cm. Find the measure of ZQ to the

Mathematics

1 answer:

katen-ka-za [31]3 years ago

3 0

9514 1404 393

Answer:

16.8°

Step-by-step explanation:

The Law of Cosines can be rearranged to give the angle measure.

angle Q = arccos((p² +r² -q²)/(2pr))

angle Q = arccos((690² +450² -290²)/(2×690×450))

angle Q = arccos(594500/621000) ≈ 16.7985°

The measure of angle Q is about 16.8°.

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artcher [175]

Answer:

the answer is for the question you are asking is A) Atom

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3 years ago

Given the demand equation 6x+p-50=0 and the supply equation 6x-p+14=0 where p is the unit price in dollars and x represents the

Katarina [22]

Answer:

The equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.

Step-by-step explanation:

Market equilibrium occurs in those markets in which the quantity demanded by consumers equals the quantity supplied by firms. In this state, the equilibrium point has its corresponding equilibrium quantity and price. That is, the equilibrium point is that point where, for a given price, the quantity supplied is equal to the quantity demanded.

The supply and demand curves represent the quantities that consumers are willing to buy and producers are willing to sell at that price respectively.

Being:

demand equation: 6x+p-50=0 ⇒ 6x= 50 - p ⇒ $x=\frac{50 - p}{6}$

the supply equation 6x-p+14=0 ⇒ 6x= p - 14 ⇒ $x=\frac{p-14}{6}$

Since when the market reaches equilibrium, the quantity demanded equals the quantity supplied and x representing the quantity demanded in units of thousand, then:

$\frac{50 - p}{6}=\frac{p-14}{6}$

Solving, you get:

$6*\frac{50 - p}{6}=p-14$

50 - p= p -14

50 - p +14 = p

50 +14= p + p

64= 2*p

$p=\frac{64}{2}$

P=32 dollars

This value is the equilibrium price. Replacing this value in the demand and supply equation, the equilibrium quantity is obtained, which should be the same for both cases:

demand equation: $x=\frac{50 - 32}{6}$ ⇒ x= 3 Thousand units

the supply equation $x=\frac{32-14}{6}$ ⇒ x=3 Thousand units

So, <u><em>the equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.</em></u>

In its graphical representation, the equilibrium point can be seen as that point where the supply and demand curves intersect. You can see this in the attached image, where the blue line represents the supply and the red line the demand.

7 0

3 years ago

Is segment ST tangent to circle P1

malfutka [58]

Answer:

B . Yes

Step-by-step explanation:

Recall: a tangent of a circle is perpendicular to the radius of a circle, forming a right angle at the point of tangency.

Therefore, if segment ST is tangent to circle P, it means that m<T = 90°, and ∆PST is a right triangle.

To know if ∆PST is a right triangle, the side lengths should satisfy the Pythagorean triple rule, which is:

c² = a² + b², where,

c = longest side (hypotenuse) = 37

a = 12

b = 35

Plug in the value

37² = 12² + 35²

1,369 = 1,369 (true)

Therefore we can conclude that ∆PST is a right triangle, this implies that m<T = 90°.

Thus, segment ST is a tangent to circle P.

7 0

3 years ago

a school debate team has 4 girls and 6 boys. A total of 4 of the team members will be chosen to participate in the district deba

Gemiola [76]

4g and 6b and that's a total of 10 in all so you know it will be 1/2 if its going to be two out of two

5 0

3 years ago

a molecule is measured and the width is 3x10-6 cm. how long will a string of 225 similar molecule be? give your answer in scient

mixer [17]

The length of the molecule is $6.75*10^-^4cm$ in scientific notation.

Data;

Width of molecule = 3*10^-6 cm
Number of molecules = 225

<h3>Length of the molecule</h3>

This can be calculated as the total length of the 225 molecules added together. To do this, we simply multiply both the numbers of the molecules by the width of the molecule.

This becomes;

$3*10^-^6*225 = 0.000675cm = 6.75*10^-^4cm$

The length of the molecule is $6.75*10^-^4cm$ in scientific notation.

Learn more on scientific notation here;

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2 years ago