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swat32
3 years ago
15

the library has enough DVDs to display an equal number of them in groups of 3,5, or 9. What is the least number of DVDs the libr

ary has?​
Mathematics
1 answer:
Soloha48 [4]3 years ago
5 0
3. i think i rlly don’t know. lol. XD
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given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta
lapo4ka [179]

Answer:

\cos{\theta} = \frac{\sqrt{15}}{4}

Step-by-step explanation:

For any angle \theta, we have that:

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

Quadrant:

0 \leq \theta \leq \frac{\pi}{2} means that \theta is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

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

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

\frac{1}{16} + (\cos{\theta})^{2} = 1

(\cos{\theta})^{2} = 1 - \frac{1}{16}

(\cos{\theta})^{2} = \frac{16-1}{16}

(\cos{\theta})^{2} = \frac{15}{16}

\cos{\theta} = \pm \sqrt{\frac{15}{16}}

Since the angle is in the first quadrant, the cosine is positive.

\cos{\theta} = \frac{\sqrt{15}}{4}

3 0
3 years ago
Angela enjoys swimming and often swims at a steady pace to burn calories. At this pace, Angela can swim 1,700 meters in 40 minut
geniusboy [140]
1700÷40= 42.5 

step one: you divide 40 into 1700
step two: you find the closest number that goes into 1700 which is 4 so 40×4= 160
step three: then you subtract 1700 from 160 and you'll get 100
step four: then you'll find the closest number that goes into a 100 and that will be 2 so 40×2=80
step 5: you'll then subtract 100 from 80 and you'll get 20 
step 6: you when then add a decimal and add an extra 0 to 1700 so you will now have 17000 you will bring down the 0 to make 20 into 200 and you will find the closest number that will go into 200 which will be 5 cause 40×5= 200 so you're answer will be 42.5units

7 0
3 years ago
If b(x) = -2(x​​-50), what is the value of b(20)?
Alex777 [14]

Answer:

60

Step-by-step explanation:

-2(20​​-50)

-40 + 100 = 60

8 0
3 years ago
Find the values of the constants p and q if the lines px + 5y = 7 and
Igoryamba

Answer:

2/5

Step-by-step explanation:

6 0
3 years ago
Based on the graph, which inequality is correct for a number that is to the right of -3?
Firdavs [7]

Answer:

4 > −3

Step-by-step explanation:

To find a number to the right of -3, it must be bigger than -3

The open part of the inequality faces the bigger number.

4 is bigger than -3

4>-3



3 0
3 years ago
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