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Sunny_sXe [5.5K]
3 years ago
7

Find the values of x on the curve y = cos x 2 + sin x at which the tangent is horizontal. (let n be an integer. enter your answe

rs as a comma-separated list.)
Mathematics
1 answer:
icang [17]3 years ago
8 0
Y = cos^2(x) + sin(x)
y' = --2sin(x) + cos(x) = 0  first derivative.  Set to 0 for horizontal tangent.
-2sin(x) = -cos(x)
Tan(x) = 1/2
x = 26.565 degrees
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A rectangular piece of paper has side lengths of 30 cm and 25 cm.
babunello [35]

Answer:

480 cm²

Step-by-step explanation:

New side lengths:

80% of 30 cm = 0.8% × 30 cm = 24 cm

80% of 25 cm = 0.8 × 25 cm = 20 cm

area = length × width

area = 24 cm × 20 cm

area = 480 cm²

8 0
2 years ago
Read 2 more answers
If a÷b=3 and a+b=2 what is a – b?<br><br>​
77julia77 [94]
A=2-b
2-b/b=3
2-b=3b
B=1/2
A=3/2
A-b=3/2-1/2=1
Answer is 1
6 0
3 years ago
Draw a rectangle on a coordinate plane. Choose a scale factor of 2,3,4, or 5, and then dilate the rectangle. How many times grea
TEA [102]
If you have a rectangle that is 2 by 2 and you dilate it by 2, the sides are now 4 x 4. So:
If you dilate it by a factor of 2, the area is 2^2 (4) times as great
A factor of 3 would have an area of 9 times as much.

Conclusion: square the scale factor to get how much greater the area would be.
5 0
4 years ago
The All-Clean Laundry Company washes towels for a nearby hotel. The function f(x) gives the number of loads required whenthere a
NISA [10]

Answer:

B.It takes more than 12 loads to wash 9 bins of towels.

Step-by-step explanation:

The function f(x) gives the number of loads required when there are x bins of towels to be washed.

f(x)=Number of loads

x=Bins of towels

Therefore in the inequality f(9)>12

  • Number of loads=12
  • Bins of towel =9

If f(9)>12, it means Number of loads is more than 12.

f(9)>12 therefore tells us that it takes more than 12 loads to wash 9 bins of towels.

The correct option is B

3 0
3 years ago
Use the distributive property to write an expression that is equivalent to: 3(x + 5)
lana [24]

Answer:

3x=15

Step-by-step explanation:

Here's what I found on google about the distributive property-

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Now for the math-

3(x+5)

distribute the numbers-  3(x)+3(5)

solve-  3*5=15

3x+15

3 0
3 years ago
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