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s344n2d4d5 [400]
3 years ago
5

(c)100 pts Mrs. Carothers looked at another hotel. She waited a week before she decided to book nights at that hotel, and now th

e prices have increased. The original price was $1195. The price for the same room and same number of nights is now $2075. What is the percent increase? Round to the nearest whole percent. Explain and Show your work.
Mathematics
2 answers:
Solnce55 [7]3 years ago
4 0
2075 - 1195 = 880
880 / 1195 * 100
= 73.64
= 74% (<span>Round to the nearest whole percent)

it's increased 74%</span>
Ugo [173]3 years ago
4 0
2075-1195=880
(880/1195)×100=73.64%
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What is the volume of a cone with a radius of 12 and a height of 8?
nadya68 [22]

Answer:

Volume of a cone= \frac{1}{3} \pi r^{2}h

=\frac{1}{3}×\frac{22}{7}×144×8

=\frac{22}{21}×144×8

=1206.86cm^{2}

Step-by-step explanation:

8 0
3 years ago
Any one know how to find the roots of an equation?
soldier1979 [14.2K]
So what you do is
make into ax^2+bx+c=0 form

add-9/2 to both sides
y^2-2y+9/2=0
now we use the quadratice formula which is
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}

ax^2+bx+c=0
1y^2-2y+9/2
a=1
b=-2
c=9/2
subsitute
x=\frac{-(-2)+/- \sqrt{(-2)^{2}-4(1)(9/2)} }{2(1)}
x=\frac{2+/- \sqrt{4-(36/2)} }{2}
x=\frac{2+/- \sqrt{4-(18)} }{2}
x=\frac{2+/- \sqrt{-14} }{2}
x=\frac{2+/- \sqrt{-14} }{2}
x=1+/- \frac{\sqrt{-14} }{2}
x=1+/- \frac{\sqrt{14} \sqrt{-1}}{2}
x=1+/- \frac{\sqrt{14} i }{2}
x=1+/- \frac{ i \sqrt{14} }{2}

answer is C



6 0
3 years ago
Given that tangent theta = negative 1, what is the value of secant theta, for StartFraction 3 pi Over 2 EndFraction less-than th
vivado [14]

The value of tangent theta is equal to the negative 1.  At this value the value of secant theta is \sqrt{2}.

<h3>What is tangent theta?</h3>

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

\rm tan\theta=\dfrac{sin \theta}{cos \theta}

Given information-

The value of tangent theta is equal to the negative 1.

\tan \theta=-1

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

\rm tan\theta=\dfrac{sin \theta}{cos \theta}

The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,

\rm -1=\dfrac{sin \theta}{cos \theta}\\

Simplify it further as,

\rm -cos \theta=sin \theta

When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of \dfrac{7\pi}{4}. Which extent to the \sqrt{2}/2 for the cosine function.

In the trigonometry cosine theta is the reciprocal of the secant theta. Thus,

\rm \dfrac{1}{sec\theta}=\dfrac{\sqrt{2}}{2}\\sec\theta=\sqrt{2}

Thus the value of secant theta is \sqrt{2}

Learn more about the tangent theta here;

brainly.com/question/29190

4 0
2 years ago
Read 2 more answers
Pls answer with real answers only thank you
aev [14]
Answer: 32.35 cm^2

Step by step:

Find the area of the rectangle first.

A= L • W
A= 11 • 4.2
A= 46.2 cm^2

Then find the area of the circle. The formula is A= pi (r)^2. The diameter of the circle is 4.2 cm because looking at the width of the rectangle it fits into the circle as well.

Half of the diameter is 2.1 cm which is the radius.

A= pi (r)^2
A= pi (2.1)^2
A= pi (4.41)
A= 13.85 cm^2

Then you would subtract 13.85 from 46.2 to find the shaded portion.

Hope this helps :))

4 0
3 years ago
) An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection
RSB [31]

Answer:

The probability the he or she will answer correctly is 1.5%

Step-by-step explanation:

In all, there are 18 problems. In this question, the order of which the problems are sorted for the quiz makes no difference. For example, if the question A of the quiz is P1 and question B P2, and question A P2 and question B P1, it is the same thing.

There are 18 problems and 9 are going to be selected. So, there is going to be a combination of 9 elements from a set of 18 elements.

A combination of n elements from a set of m objects has the following formula:

C_{(m,n)} = \frac{m!}{n!(m-n)!}

In this question, m = 18, n = 9. So the total number of possibilities is:

T_{p} = C_{(18,9)} = \frac{18!}{9!(18-9)!} = 48620

Now we have to calculate the number of desired outcomes. This number is a combination of 9 elements from a set of 13 elements(13 is the number of problems that the student has figured out how to do).

Now, m = 13, n = 9. The number of desired possibilities is:

D_{p} = C_{(13,9)} = \frac{13!}{9!(13-9)!} = 715

The probability is the number of desired possibilities divided by the number of total possibilities. So

P = \frac{715}{48620} = 0.015 = 1.5%

The probability the he or she will answer correctly is 1.5%

3 0
3 years ago
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