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3 years ago

2x-15/x+9 Would be unidentified

Mathematics

1 answer:

Komok [63]3 years ago

8 0

Answer: it is undefined for X=-9

Step-by-step explanation:

I’m assuming that you mean undefined.

A quotient will be undefined when the denominator is equal to 0.

X+9=0

X=-9

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The value of n is both 5 times as much as the value of m and 36 more than the value of m. what are the values of n and m? explai

Cloud [144]

I'm in seventh grade. I haven't learned that yet.
try asking your teacher.

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3 years ago

Find exact values for sin θ, cos θ and tan θ if csc θ = 3/2 and cos θ < 0.

kumpel [21]

Answer:

Part 1) $sin(\theta)=\frac{2}{3}$

Par 2) $cos(\theta)=-\frac{\sqrt{5}}{3}$

Part 3) $tan(\theta)=-\frac{2\sqrt{5}}{5}$

Step-by-step explanation:

step 1

Find the $sin(\theta)$

we have

$csc(\theta)=\frac{3}{2}$

Remember that

$csc(\theta)=\frac{1}{sin(\theta)}$

therefore

$sin(\theta)=\frac{2}{3}$

step 2

Find the $cos(\theta)$

we know that

$sin^{2}(\theta) +cos^{2}(\theta)=1$

we have

$sin(\theta)=\frac{2}{3}$

substitute

$(\frac{2}{3})^{2} +cos^{2}(\theta)=1$

$\frac{4}{9} +cos^{2}(\theta)=1$

$cos^{2}(\theta)=1-\frac{4}{9}$

$cos^{2}(\theta)=\frac{5}{9}$

square root both sides

$cos(\theta)=\pm\frac{\sqrt{5}}{3}$

we have that

$cos(\theta) < 0$ ---> given problem

$cos(\theta)=-\frac{\sqrt{5}}{3}$

step 3

Find the $tan(\theta)$

we know that

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

we have

$sin(\theta)=\frac{2}{3}$

$cos(\theta)=-\frac{\sqrt{5}}{3}$

substitute

$tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}$

Simplify

$tan(\theta)=-\frac{2\sqrt{5}}{5}$

6 0

3 years ago

The team’s ratio of games won to games played was 3 to 8. If the team played 88 games, how many games did the team win? a. 11 ga

Gwar [14]

The correct answer would be B because 88 divided by 11 would be 8 and therfore it would justift that the ration would be equal to 88:33

6 0

3 years ago

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A circle has a sector with area 27 and central angle of 120

Alex_Xolod [135]

Answer:

81π

Step-by-step explanation:

-The sum of central angles in a circle add up to 360°.

-Let x be the area of the circle.

-Given the area of a 120° is 27π, the circles area can be calculated as:

$A=27\pi\\\\120\textdegree=27\pi\\360\textdegree=x\\\\\therefore x=\frac{360\textdegree\times 27\pi}{120\textdegree}\\\\=3\times 27\pi\\\\=81\pi$

Hence, the area of the circle is 81π

6 0

3 years ago

The volume of a cone is 1540cm³. If its radius is 7cm, calculate the height of the cone. (Take pi = 22/7)

Ann [662]

Answer:

$h=30$

Step-by-step explanation:

Volume of a cone=1540 $cm^{3}$ , Radius=7cm.

The height of a cone=h

When we need to find the height of a cone, we can use the formula of the volume of a cone, which is $\frac{1}{3} \pi r^{2} h$ to find the height of a cone.

$1540cm^{3} =\frac{1}{3}\pi r^{2} h$

Put the pi value=22/7 and the value of radius which is 7 cm into the formula.

$1540cm^{3}=\frac{1}{3}*\frac{22}{7} 7^{2}h$

$1540cm^{3} =\frac{154}{3}h$

Move $\frac{154}{3}$ to another side. 1540 divided by $\frac{154}{3}$ to calculate what is the value of h, h is the height of a cone. Like this.

$\frac{1540cm^{3} }{\frac{154}{3} } =h$

$30=h$

Rearrange the h.

$h=30$

I hope you will understand my solution and explanation. If you still cannot get the point, you can ask me anytime! Thank you!

4 0

3 years ago

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