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Marina86 [1]
3 years ago
7

For what numbers of years would the surf shop not be in debt? A. [0, ∞) B. [12, ∞) C. [0, 24] D. (3, 21)

Mathematics
1 answer:
Rama09 [41]3 years ago
6 0
A. [0, ∞)
is \: the \: answer \: to \: this \: question )  \binom{?}{?}
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Triangle ABC , m∠A=45° and c = 16, find b.
zmey [24]

Using the cosine function:

\begin{gathered} \cos (\theta)=\frac{_{\text{ }}adjacent}{_{\text{ }}hypotenuse} \\ so\colon \\ \cos (45)=\frac{b}{16} \end{gathered}

Solve for b:

\begin{gathered} b=16\cdot\cos (45) \\ b=8\sqrt[]{2} \end{gathered}

5 0
1 year ago
Solve the triangle A = 2 B = 9 C =8
VARVARA [1.3K]

Answer:

\begin{gathered} A=\text{ 12}\degree \\ B=\text{ 114}\degree \\ C=54\degree \end{gathered}

Step-by-step explanation:

To calculate the angles of the given triangle, we can use the law of cosines:

\begin{gathered} \cos (C)=\frac{a^2+b^2-c^2}{2ab} \\ \cos (A)=\frac{b^2+c^2-a^2}{2bc} \\ \cos (B)=\frac{c^2+a^2-b^2}{2ca} \end{gathered}

Then, given the sides a=2, b=9, and c=8.

\begin{gathered} \cos (A)=\frac{9^2+8^2-2^2}{2\cdot9\cdot8} \\ \cos (A)=\frac{141}{144} \\ A=\cos ^{-1}(\frac{141}{144}) \\ A=11.7 \\ \text{ Rounding to the nearest degree:} \\ A=12º \end{gathered}

For B:

\begin{gathered} \cos (B)=\frac{8^2+2^2-9^2}{2\cdot8\cdot2} \\ \cos (B)=\frac{13}{32} \\ B=\cos ^{-1}(\frac{13}{32}) \\ B=113.9\degree \\ \text{Rounding:} \\ B=114\degree \end{gathered}\begin{gathered} \cos (C)=\frac{2^2+9^2-8^2}{2\cdot2\cdot9} \\ \cos (C)=\frac{21}{36} \\ C=\cos ^{-1}(\frac{21}{36}) \\ C=54.3 \\ \text{Rounding:} \\ C=\text{ 54}\degree \end{gathered}

3 0
1 year ago
English
larisa86 [58]

Answer:

6 square feet

Step-by-step explanation:

Carpet has w= 8 ft and l = 12 ft

Reduced carpet has w' = 2 ft

<u>Reduction factor is </u>

  • 8/2 = 4

<u>Then </u>

  • l' = l/4 = 12/4 = 3 ft

<u>Area of small carpet</u>

  • S = 2*3 = 6 ft²
6 0
3 years ago
Objects A and B are in harmonic motion modeled by
Zepler [3.9K]

Answer:

The phase difference between yA and yB is  \frac{-\pi }{12}

Step-by-step explanation:

Given harmonic modeled as :

yA = 8 sin(2t  - \frac{\pi }{3})         And

yB = 8 sin(2t  - \frac{\pi }{4})

The function as written as :

y = a sin(ωt  - Ф)  where  Ф is phase difference

So , phase difference between yA   and  yB = ( Ф_1 - Ф_2 )

Or phase difference between yA   and  yB = ( -  \frac{\pi }{3} + \frac{\pi }{4} )

Or, phase difference between yA   and  yB = (\frac{-4\pi +3\pi }{12})

I.e phase difference between yA   and  yB =\frac{-\pi }{12}

Hence The phase difference between yA and yB is \frac{-\pi }{12}   Answer

4 0
3 years ago
Read 2 more answers
A pentagon has angle measures of 105°, 101°, 112° and 113°. What must the fifth angle measure?
Taya2010 [7]
Add them. Pentagram interior angle is 540. 105+101+112+113=431. 540-431=109 Hence, 109 is the answer. Please brainliest.
8 0
3 years ago
Read 2 more answers
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