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belka [17]
3 years ago
7

While at School Brian had a math quiz every 6 days and a science quiz every four days. On February 15 he had both tests. Assumin

g no school days off when will he have both tests on the same day again.
Mathematics
1 answer:
kipiarov [429]3 years ago
4 0
March 3rd, assuming that it’s not a leap year and there are no school holidays.
Days x # of tests = days until both
6x2=12
4x3=12
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Θ is in Quadrant III and cos^2 0= 1/4
pychu [463]
I think you mean to say \cos^2\theta=\dfrac14. If \theta is in the third quadrant, then \sin\theta and \cos\theta. Recall that


\sin^2\theta+\cos^2\theta=1\implies\sin\theta=\pm\sqrt{1-\cos^2\theta}

We expect \sin\theta to be negative, so we take the negative root. We end up with

\sin\theta=-\sqrt{1-\dfrac14}=-\dfrac{\sqrt3}2

We also know to expect \cos\theta, so

\cos\theta=\pm\sqrt{\dfrac14}\implies\cos\theta=-\dfrac12


By definition, we have

\cot\theta=\dfrac{\cos\theta}{\sin\theta}

and so

\cot\theta=\dfrac{-\frac12}{-\frac{\sqrt3}2}=\dfrac1{\sqrt3}
7 0
3 years ago
mark just bought a new vacuum cleaner for $220. he used a 30% off coupon and then paid 5.1% sales tax. what was his final cost?
MissTica

Answer: $161.85

Step-by-step explanation: $220 is the original price.  you want to first deduct the 30% tax.  Find out the 30% tax by multiplying 220 x .30 = 66.  So deduct the $66 from $220 to get $154.  That is the price.  You will need to add on the 5.1% tax.  So to get the tax you multiply $154 by .051 to get $7.854.  Add that to the $154 sales price to get a total of $161.854.  But since money, you can't have a portion of a cent so you round the 4 down

8 0
3 years ago
5. What is the degree of the sum of these two polynomials? (5x3 - 2x2 + 1) + (2x2 - 6x4-5) A. 2 B.3 6.4 D.5​
hichkok12 [17]

Answer:

14

Step-by-step explanation:

(5x3-2x2+1) + (2x2-6x4-5)

(15-2x2+1) + (4-6x4-5)

(13x2+1) + (-2x4-5)

(26+1) + (-8-5)

27 + -13

14

Hope this helps... I was confused on the question about the decimals this is the best I can do... Have a nice day though! ☺️

4 0
2 years ago
A pair of dice is rolled. What is the probability of getting a sum of 2?
diamong [38]

Answer:

1/36

Step-by-step explanation:

1/6 * 1/6

8 0
3 years ago
Read 2 more answers
An aquarium at a pet store has 18 Black Neon Tetra fish in it . A customer buys 12 Black neon Tetra Fish at the same time the st
dangina [55]

18-12+7

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13

Write an equation.

Subtract first- the customer buys 12 black neon tetra fish which means subtraction

addition- the store clerk puts in 7 more black neon tetra fish which means your gonna add 7




8 0
3 years ago
Read 2 more answers
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