Which of the following cosine functions has a period of 3π?

y = 3cos x
y = cos3 x
y = 1/3 cos x
y = cos 2/3 x

Answer:

2.4 pounds

Step-by-step explanation:

12/5=2.4

To get 5 equal parts of 12, you have to do 12 divided by 5.

to find the reciprocal just switch the numerator and the denominator.

= 8/5 ( 8 by 5 )

Answer:

Aashna is correct

Step-by-step explanation:

I would explain it that the tens places are 8 and 1, which are about 7 apart

The tens places however are 3 and 4 which is closer.

Answer: 6.5 is the answer.

Step-by-step explanation:

Answer: ax - 2bx plus 3a - 6b

Step-by-step explanation: I’m not so sure with this but it might help

Step-by-step explanation:

I never learned this (for good reasons, I say). for me this is the strangest thing in math. math is precise. we are not guessing around when we can actually calculate things.

this is definitely ok, when just trying to decide, if one fraction is larger than the other, but to use that for an actual operation among fractions, is the biggest nonsense I have ever seen in math lessons (and not simpler than doing the precise calculation). again, math is a precise thing. the only valid level of imprecise answers is rounding, but only for the end result, not for intermediate results, because the rounding errors are rarely compensating for each other, they mostly pile up making the end result even less precise.

enough with the venting ...

benchmark fractions are the simple fractions (and their multiples)

1 (=1/1), 1/2, 1/3, 1/4, 1/5, 1/6

and then in steps of 2 :

1/8, 1/10, 1/12, ...

we try to find the closest simple fractions to our actual fractions and use them to estimate the actual result.

the simplest (but also normally the least precise) benchmark approach is using 1/2 as benchmark unit and 0, 1/2, 1 as benchmarks.

so, is 10/12 closest to 0, to 1/2 or to 1 ?

we know that 0 in 12ths would be 0/12, 1/2 would be 6/12, and 1 would be 12/12.

so, out of these 3 values 10/12 is closest to 12/12 (=1), so that is what you are choosing as representation.

is 3/8 closest to 0, 1/2 or to 1 ?

we would have 0/8, 4/8, 8/8.

and 3/8 is closest to 4/8 (= 1/2), and that is what we are choosing here as representation.

and the estimated result of 10/12 - 3/8 = 1 - 1/2 = 1/2 or 4/8 or 6/12.

let's pick 1/4 as benchmark unit.

so, are the numbers closest to

0, 1/4, 2/4, 3/4 or 1 (4/4) ?

for 10/12 we get then

0/12, 3/12, 6/12, 9/12, 12/12

and 10/12 is closest to 9/12 (3/4), which we pick as representation.

for 3/8 we get

0/8, 2/8, 4/8, 6/8, 8/8

if equidistant, we have to round up, so, we get 4/8 (2/4), which we pick as representation.

and the estimated calculation is

10/12 - 3/8 = 3/4 - 2/4 = 1/4

which is really horrible ...

2 and 4 are factors of 12 and 8. all smaller benchmark fractions (<1/4; so, e.g. 1/5, 1/6, 1/8. ...) are not meeting that criteria, making the benchmark finding much harder. so, I would not try that.

the real result is

the LCM of 12 and 8 is 24 (2×12 and 3×8).

so, we have

20/24 - 9/24 = 11/24 (almost 1/2).

so, actually, the benchmark unit of 1/2 is giving the best result here.

but to just do the exercise of benchmark units that are not factors of both denominators, let's pick 1/6

so, are the numbers closest to

0, 1/6, 2/6, 3/6, 4/6, 5/6 or 1 (6/6) ?

for 10/12 we get (all nicely)

0/12, 2/12, 4/12, 6/12, 8/12, 10/12, 12/12

so, 10/12 is closest to 10/12 (of course) = 5/6, which we pick as representation.

for 3/8 we get (ugh, we have to go for 24ths here too as 4×6 and 3×8)

0/24, 4/24, 8/24, 12/24, 16/24, 20/24. 24/24

3/8 = 9/24

so, the closest number to 9/24 is 8/24 (= 2/6), which we pick as representation.

and the estimated calculation is

10/12 - 3/8 = 5/6 - 2/6 = 3/6 = 1/2

did I say already that I don't like this ? that I don't see the advantage to the actual calculation ?

so, just in case : I don't like this (ugh) !

Answer:

x + y = 59

x = 8 + y

Step-by-step explanation:

Joey: x hours

Chandler: y hours

total hours is sum of both:

x+y = 59

Joey (x) worked 8 more hours than chandler (y)

x = 8 + y

Step-by-step explanation:

The base form (or root) of a verb is the form listed in the dictionary. It is the version of the verb without any endings (endings such as -s, -ing, and ed). The base form is the same as the infinitive (e.g., to walk, to paint, to think) but without the to.

Answer:

Step-by-step explanation:

2.25m + 2(2.25m) + 90 cm =

2.25m + 4.50m + 90 cm

6.75m + 90 cm

1 cm = 0.01m...so 90 cm = 90 * 0.01 = 0.9m

6.75m + 0.9m = 7.65m <===

2.25m + 2(2.25m) + 90 cm =

2.25m + 4.50m + 90 cm

6.75m + 90 cm

1 cm = 0.01m...so 90 cm = 90 * 0.01 = 0.9m

6.75m + 0.9m = 7.65m

OR../=-

1m = 100 cm....so 7.65m = 7.65 * 100 = 765 cm

Answer:

Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Here, AB is perpendicular to XY because AB and XY intersect each other at 90°. The two lines are parallel and do not intersect each other. They can never be perpendicular to each other.

Step-by-step explanation:

hope it helps, God bless!

Part A

Part B

Addtional Information:

Answer:

(a)  12

(b)  36

Step-by-step explanation:

Knowledge check: [tex]\sqrt{x} =\sqrt[2]{x}[/tex]

Apply the exponent rule:

[tex](\sqrt[n]{x})^n=x\quad\textsf{if}\:n\:\textsf{is odd or}\:x\geq 0[/tex]

Question (a)

[tex](\sqrt{6})^2 \times (\sqrt{2})^2=6 \times 2=12[/tex]

Question (b)

[tex](\sqrt[3]{3})^3 \times (\sqrt{12})^2=3 \times 12=36[/tex]

Answer:

y=-2/1+4

or y=-2+4

Step-by-step explanation:

to find the slope, you count from one point of intersection to the next and the way it works is y/x so the line from one point to the next goes down 2 (making it negative also) and over 1, so -2/1 is your slope, and for the b part.. its just where the line intersects on the y axis (the line that goes up and down) so it would be 4

Answer:

Step-by-step explanation:

Area of figure I = length *width

                          = 4 * 5

                          = 20 m²

Figure II is a trapzium.

a and b  are the parallel sides. a = 21 m

b = 20 - 5 = 15 m

h =  3 + 4 = 7 m

[tex]\text{area of figure 2 = $\dfrac{(a + b)*h}{2}$}[/tex]

                       [tex]=\dfrac{(21+15)*7}{2}\\\\\\=\dfrac{36*7}{2}\\\\\\= 18*7\\\\= 126 \ m^{2}[/tex]

Area of the figure = 20 + 126

                               = 146 m²

Answer:

146 m²

Step-by-step explanation:

Formulae

Area of a rectangle = width x length

Area of a triangle = 1/2 x base x height

Divide the figure into 2 rectangles and a triangle (see attachment).

Area of Rectangle 1 = 4 x 5 = 20 m²

Area of Rectangle 2 = (3 + 4) x (20 - 5) = 105 m²

Area of triangle 3 = 1/2 x (21 + 5 - 20) x (3 + 4) = 21 m²

Total area = 20 + 105 + 21 = 146 m²

Answer: 39

Step-by-step explanation: formula is bh. 19.5 times 8 is 156. divide by 4 because a package will cover 4 sq ft.

Answer:

39

Step-by-step explanation:

parallelogram area is base x height

A = b x h

A = 19.5 x 8 = 156 ft^2 or square feet

156 divided by 4 = 39

Answer: About 5.59

Step-by-step explanation:

        The mean absolute deviation (MAD) is where you subtract the mean from each value, find the absolute value of that value, and then find the average of those values.

        Here is what it looks like.

[Step 1]

        Find the average.

[tex]\displaystyle \frac{52+65+63+48+52+53+60}{7} =\frac{393}{7}=56.14[/tex]

[Step 2]

       Find the absolute value of each data from the mean.

|52 - 56.14| = 4.14

|65 - 56.14| = 8.86

|63 -  56.14| = 6.86

|48 -  56.14| = 8.14

|52 -  56.14| = 4.14

|53 -  56.14| = 3.14

|60 -  56.14| = 3.86

[Step 3]

      Find the average of these values.

[tex]\displaystyle\frac{4.14 + 8.86 + 6.86+8.14+4.14+3.14+3.86}{7} =\frac{39.14}{7}=5.59[/tex]

Answer:

65

Step-by-step explanation:

115 + x = 180

x = 180 - 115

x = 65

Answer:

65°

Step-by-step explanation:

A right-angle equals 90°. Two right angles would be a line like shown in the picture.

So, 90 + 90 = 180.

Since we know the whole amount of the 2 angles combined is 180, all we have to do is subtract 115 from 180 to find the missing value.

180 - 115 = 65

Therefore, 65° equals x.

-kiniwih426

Answer: One face of a cube has a perimeter of a+a+a+a=4a.

The required perimeter of one of the faces of the cube is 4 units.

Given that,
A cube has a volume of 1 cubic unit. what is the perimeter of one of its faces is to be determined.

Perimeter is the measure of the figure on its circumference.

A cube is defined is a regular 3-dimensional structure whose dimension at every section is identical.

Here,
According to the question,
Area of the square = 1 cubic unit
a² = 1
a = 1
Now,
The perimeter of the square = 4a
                                                = 4 (1) = 4 units

Thus, the required perimeter of one of the faces of the cube is 4 units.

Learn more about perimeter here:

brainly.com/question/6465134

#SPJ2

Step-by-step explanation:

1)

[tex] \sin(theta) = \frac{opposite \: side}{hypotenuse} [/tex]

[tex] \sin(30) = \frac{x}{10} = \frac{1}{2} [/tex]

[tex] \frac{x }{1} = \frac{10}{2} [/tex]

[tex]x = 5[/tex]

In right Angles traingle

By using Pythagoras theorm

we get

x²+y²=10²

25+y²=100

y²=75

y=5√3

x=5,y=5√3

2)

Area of equilateral traingle =

[tex] \frac{ \sqrt{3} }{4} {a}^{2} [/tex]

required area

[tex] \frac{ \sqrt{3} }{4} \times {6}^{2} [/tex]

[tex] \frac{36 \sqrt{3} }{4} [/tex]

[tex]9 \sqrt{3} [/tex]

Answer:

96.7%

Step-by-step explanation:

87/90 = 0.96666666

To make this number a percentage, we move the decimal point two places to the right. Her grade would be 96.6666 percent, which rounds up to 96.7%

Answer:

96.7%

Step-by-step explanation:

87÷90×100

Answer:

B : 1.8 hours a day.

Step-by-step explanation:

For 5 days she practices for 4 hours.

Subtract the 4 hours by the combined 13 hours.

Divide the remainding 9 hours of video game time by the 5 days.

Answer:

The probabilities of the individual outcomes are the same.

The probability model for this situation is uniform.

Step-by-step explanation:

There is 2 of each number so there is an equal chance. when there is an equal chance that is uniform.

Answer:

i hope this helped :)

Step-by-step explanation:

The shape is not normal since the sample size (6) is less than 30.

The mean and standard deviation of the sample distribution is 39, and 0.82 repectively

The normal distribution is a distribution that is symmetric about the mean and has a bell shaped curve.

Given that

n = 6, mean = 39 and standard deviation o = 2.

Hence:

The shape is not normal since the sample size (6) is less than 30.

The mean of the sample distribution = 39, the standard deviation of the sample distribution = 2/√6 = 0.82

Find out more on normal distribution at: https://brainly.com/question/4079902

Answer:

according to my calculations syour mada

Answer:

100

Step-by-step explanation:

5*5*4=100

Answer:

Step-by-step explanation:

hello : note 297 no 279

297 =3×99

99 = 3 ×33

33=3×11

this the geometric sequence. ( comon : 3)

the nth term is : An = A1 × r^n     when : r = 3 and A1 =11

if n = 19      A19 = 11×3^19

Answer:

Trapezoid

Explanation:

A trapezoid does not have two pairs of parallel sides.

Answer: D. Trapezoid

Step-by-step explanation:

Answer:

x = -6 and x = 1

Step-by-step explanation:

For the fraction to be undefined, find the zeros of the polynomial of the denominator.

Answer:

14.3 Cm

Step-by-step explanation:

Step 1: A^2+B^2=C^2

Step 2: 3^2+14^2=C^2

Step 3: 9+196=C^2

Step 4: 205=C^2

Step 5: 14.3=C