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insens350 [35]
3 years ago
11

Find the cosine ratio of angle Θ. Hint: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no

spaces. (4
Mathematics
1 answer:
QveST [7]3 years ago
7 0
Cos Ф=side adjacent/ hypotenuse
In this case:
cos Ф=3/5

Answer: cos Ф=3/5
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Each side of a square piece of cardboard is 22 inches long. What is the piece of cardboard's perimeter?
tia_tia [17]
88 inches long would be the answer
5 0
2 years ago
Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
nikitadnepr [17]
You can start with the form
  ∆y(x -x1) -∆x(y -y1) = 0
Here, we have
  ∆y = 11-(-3) = 14
  ∆x = -3-1 = -4
and we can choose (x1, y1) = (1, -3). This gives
  14(x -1) -(-4)(y -(-3)) = 0
  14x +4y -2 = 0
All these terms have a common factor of 2 that we can remove. Adding 1 to the result puts it in standard form:

  7x +2y = 1

6 0
3 years ago
prescription for marilyn jones piroxicam 20 mg capsule take 1 capsule 2 times a day how many milligrams mg will marilyn take of
fenix001 [56]

Answer:

\boxed{\text{3600 mg}}

Step-by-step explanation:

Step 1. Calculate the number of capsules

Marilyn takes 2 capsules per day

\text{No. of capsules} = \text{90 days} \times \dfrac{\text{2 capsules}}{\text{1 day}} = \text{ 180 capsules}

Step 2. Convert capsules to milligrams

There are 20 mg in each capsule.  

\text{No. of milligrams} = \text{180 capsules} \times \dfrac{\text{20 mg}}{\text{1 capsule}} = \textbf{3600 mg}\\\\\text{Marilyn will take } \boxed{\textbf{3600 mg}} \text{ of Pirixocam}

6 0
3 years ago
How to solve this question
VMariaS [17]
<span>The variance method is as follows.

-Sum the squares of the values in data set, and then divide by the number of values in data set
- From that, subtract the square of the mean (add all values and divide by number of values in the data set)

Our variance is

<span>\displaystyle\sigma^2 = \frac{2^2 + 5^2 + m^2}{3} - \left(\frac{2 + 5 + m}{3}\right)^2

Since variance has to be 14, we set \sigma^2  = 14 and solve for m

14= \frac{4 + 25 + m^2}{3} - \left(\frac{7 + m}{3}\right)^2\ \Rightarrow \\ \\&#10;14 = \frac{29}{3} + \frac{1}{3}m^2 - \frac{1}{9}(7+m)^2 \\ \\&#10;14 = \frac{29}{3}+ \frac{1}{3}m^2 - \frac{1}{9}(49 + 14m + m^2) \\ \\&#10;14 = \frac{29}{3}+ \frac{1}{3}m^2 - \frac{49}{9}- \frac{14}{9}m- \frac{1}{9}m^2 \\ \\&#10;0 = \frac{-88}{9}  -\frac{14}{9}m + \frac{2}{9}m^2&#10;

quadratic formula


m = \displaystyle\frac{-b \pm \sqrt{b^2 -4ac}}{2a} \\&#10;m = \frac{-(-\frac{14}{9}) \pm \sqrt{\left(-\frac{14}{9}\right)^2 - 4(2/9)(-88/9)} }{2(2/9)} \\&#10;m = \frac{\frac{14}{9} \pm \sqrt{ \frac{196}{81} + \frac{704}{81} } }{\frac{4}{9} } \\&#10;m = \frac{\frac{14}{9} \pm \sqrt{ \frac{900}{81}  } }{\frac{4}{9} } \\&#10;m = \frac{\frac{14}{9} \pm \sqrt{ \frac{100}{9}  } }{\frac{4}{9} } \\&#10;m = \frac{\frac{14}{9} \pm \frac{10}{3}  }{\frac{4}{9} } \\&#10;m = 11, -4

-4 doesnt' work as it is not a positive integer

m = 11


</span></span>
5 0
3 years ago
Emma buys 3 2/3 yards of blue fabric and some yellow yellow fabric at the store she buys a total of 5 1/3 yards of fabric the eq
UkoKoshka [18]

Answer:

yellow fabric 5/3 yards

Step-by-step explanation:

convert the mixed numbers into improper fractions:

3 2/3 =   11/3                 5 1/3=16/3

16/3 - 11/3 = 5/3

3 0
3 years ago
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