Answer all question

1.There is a circular path around a sports field. Erica takes 18 minutes to drive one round of the field.
Harriet takes 12 minutes. Suppose they both start at the same point and at the same time and go in
the same direction, after how many minutes will they meet?

2. Round the following to four significant figures.
i. 0.00095897
ii. 24596
​

Answer:

29

Step-by-step explanation:

The given complex number is -2+5i

We need to find the product of −2+5i and its conjugate.

The conjuagate of -2+5i is -2-5i

So, it will become,

[tex](-2+5i)(-2-5i)[/tex]

We know that,

[tex](a-b)(a+b)=a^2-b^2[/tex]

Here, a = -1 and b = 5i

[tex](-2+5i)(-2-5i)=(-2)^2-(5i)^2\\\\=4-25i^2\\\\=4-25(-1)\ \ (As\ i^2=-1)\\\\=4+25\\\\=29[/tex]

So, the values of a+bi is equal to 29.

Answer:

π/2 + n*π

Step-by-step explanation:

All real numbers except π/2 + n*π

Answer:

Step-by-step explanation:

For some problems, stating the domain actually means to identify what x CANNOT be as opposed to what x IS. This occurs with tangent and cotangent functions along with rational functions.

As far as the tangent function goes, look at your unit circle. Your unit circle gives you 2 values for each angle, the first value reflects the cosine of the angle and the second value reflects the sine of the angle. This is because cosine is directly related to the x values and sine is directly related to the y values; cos goes into the "x" position and sin goes into the "y" position inside the brackets just like x and y go into parenthesis for coordinates. Anyway, a ratio is undefined if the denominator equals 0, right? And since tangent is the same as sin/cos, tangent is undefined when cos is 0. This occurs at [tex]\frac{\pi}{2}+k\pi[/tex] . That means that tangent does NOT exist at pi over 2 and every integer of pi you add in after. Let's look at a couple of examples of how that domain "works". Adding in an integer means adding in 1, 2, 3, etc. If the domain of tangent is undefined at [tex]\frac{\pi}{2}+k\pi[/tex], then let's let k = 1, and

[tex]\frac{\pi}{2}+1\pi=\frac{\pi}{2}+\frac{2\pi}{2}=\frac{3\pi}{2}[/tex] . Now let k = 2:

[tex]\frac{\pi}{2}+2\pi=\frac{\pi}{2}+\frac{4\pi}{2}=\frac{5\pi}{2}[/tex]. Now let k = 3:

[tex]\frac{\pi}{2}+ 3\pi=\frac{\pi}{2}+\frac{6\pi}{2}=\frac{7\pi}{2}[/tex]. And it continues like that.

You can see when you graph the tangent function in radian mode on your calculator that these values where tangent is undefined show up as asymptotes. Use your unit circle and your graphs to determine the domain of trig functions.

9514 1404 393

Answer:

  x ∈ {π/18, 5π/18, 13π/18, 17π/18, 25π/18, 29π/18}

Step-by-step explanation:

Using the trig identity ...

  cos(2x) = 1 -2sin²(x)

we can rewrite the equation as ...

  (1 -2sin²(3x)) -5sin(3x) +2 = 0

  2sin²(3x) +5sin(3x) -3 = 0 . . . . . standard form

  (sin(3x) +3)(2sin(3x) -1) = 0 . . . . factored form

There are no real values of x that will make the first factor zero. The second factor is zero when ...

  sin(3x) = 1/2

  3x = arcsin(1/2) +2nπ   or   (2n+1)π -arcsin(1/2)

  x = 1/3(π/6 +2nπ)   or   1/3((2n +1)π -π/6)

  x = (12n+1)π/18  or  (12n+5)π/18

  x ∈ {π/18, 5π/18, 13π/18, 17π/18, 25π/18, 29π/18}

Answer:

0.393701 cm = 1 in

Step-by-step explanation:

We want to find the number of centimeters in 1 inch.

First, the two conversion rates we need to use:

1m = 100 cm

1m = 39.3701 in

From these two equations, we can conclude that:

100cm = 1m = 39.3701 in

100cm = 39.3701 in

Because we want to find the total number of centimeters in 1 inch, we need to divide both sides by 39.3701

We will get:

(100cm)/39.3701 = (39.3701 in)/39.3701

0.393701 cm = 1 in

This equation gives us the number of centimeters in one inch.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}[/tex]

The value of [tex]x[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\longrightarrow{\green{x\:=\: 25° }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

➪ 125° + [tex]x[/tex] + 30° = 180°

➪ [tex]x[/tex] + 155° = 180°

➪ [tex]x[/tex] = 180° - 155°

➪ [tex]x[/tex] = 25°

Therefore, the value of [tex]x[/tex] is 25°.

Now, the three angles of the triangle are 125°, 25° and 30°.

[tex]\large\mathfrak{{\pmb{\underline{\pink{To\:verify}}{\pink{:}}}}}[/tex]

✒ 125° + 25° + 30° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

Answer:3/6 in simplest fraction form is 1/2.

Step-by-step explanation:EASY and my chanel is FireFlameZero if u can check dat out

Answer:

76.92 boxes each or round up to 77

Step-by-step explanation:

1000 ÷ 13 = 76.92

Answer:

36x² + 24x + 300 ft²

Step-by-step explanation:

→ Area of rectangle = Length × Width

→ Area of rectangle = (12x + 8) ft × (3x + 15) ft

→ Area of rectangle = 12x(3x + 15) + 8(3x + 15) ft²

→ Area of rectangle = 36x² + 180 + 24x + 120 ft²

→ Area of rectangle = 36x² + 24x + 300 ft²

Answer:

The answer is C .

Step-by-step explanation:

Here's your answer in image

Answer:

The answer is C

Step-by-step explanation:

Your Answer is in the above image

Answer:

2/3

Step-by-step explanation:

P ( 8 or more) = number that are 8 or more) / total

                        = (6+4) / ( 2+3+6+4)

                         = 10/15

                          =2/3

Answer:

ArcAB should be 182.

Step-by-step explanation:

You are not going to believe this, because the diagram is very misleading. AC is the same as the central angle. The central angle is twice m<ABC.

The central angle = 2*91 = 182

Answer:

Answer is C

Step-by-step explanation:

In demand when the price goes up the quantity goes up and when the price goes down the quantity also goes down

In Supply when the price goes up the quantity goes down and when the price goes down the quantity goes up

Demand Schedule is a Chart

Demand Curve is a graph

Supply Schedule is a Chart

Supply Curve is a graph

Hope this helps

Step-by-step explanation:

[tex]hope \: it \: helps[/tex]

Answer:

B.

Step-by-step explanation:

Judging by the picture, it appears that you are correct. The pattern seems to go as follows:

1. Blue (with one line)

2. Red (with two lines)

3. Blue (with three lines)

This means that your final step should be red with four lines, and we can eliminate D as there is no sign that the line should branch off that way (based on the pattern that we already have). Hope this helps and please let me know if you still need help!

Answer:

[tex]{ \bf{by \: relations : }} \\ { \tt{ \frac{28}{7} = \frac{x}{8} }} \\ \\ { \tt{x = \frac{28 \times 8}{7} }} \\ x = 32 \\ \\ { \tt{y = 83 \degree}}[/tex]

Answer:

D. Average deviation from the mean in the group must be squared to be meaningful.

Step-by-step explanation:

The average variability from mean is not calculated with mean square of the selected group. The deviation scores calculated by subtracting participant score from the mean.  

Answer:

9

Step-by-step explanation:

the only thing we can say for sure is that JL is splitting the triangle and also its baseline IK in half.

so, both sides of the baseline must be equal :

3x = x + 6

2x = 6

x = 3

=> LK = x + 6 = 3 + 6 = 9

Answer:

B. Identity

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

81+15=96

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{3^4 +3 \times5}\\\\\\\mathsf{3^4}\\\mathsf{= 3\times3\times3\times3}\\\mathsf{=9\times9}\\\mathsf{= \bf 81}\\\\\\\mathsf{81+5\times3}\\\\\mathsf{3\times5=\bf 15}\\\\\\\\\mathsf{81+15}\\\mathsf{= \bf 96}\\\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf 96}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Step-by-step explanation:

the answer is in the above image

Answer:

Step-by-step explanation:

Note : any number or variable with it's power 0 is considered as one.

Last one is the solution to find the two ration numbers between 2/5 and 3/4 (question which u asked just before this question).

Answer:ʜᴛᴛᴘꜱ://ᴡᴡᴡ.ʏᴏᴜᴛᴜʙᴇ.ᴄᴏᴍ/ᴡᴀᴛᴄʜ?ᴠ=ᴅQᴡ4ᴡ9ᴡɢxᴄQ

Step-by-step explanation:

Heres the answer but its on a another page.

Im joking

here's the answer

the first one is 878 i think that what your looking for at the top

Answer:

-4

Step-by-step explanation:

f(x) = 10 - 2x

substitute 7 in place of x

f(7) = 10 -2*7

=10 - 14

=-4

therefore the value of f(7) is -4.

Answer:

7

Step-by-step explanation:

Answer:

70/100 = 105/X ---> 70X = 10,500 ---> X = 150 games played.

Step-by-step explanation:

Answer:

ok for this problem lets convert all of the number into decimals to make it easier.

7.5 is already a decimal

7 2/5 as a decimal is 7.4

7.69() is already a decimal  

ok so 7.4 is lowest

7.5 is next

7.69 is highest

Answer:

In order from least to greatest is [tex]7\frac{2}{5},7.5,7.69[/tex]

Step-by-step explanation:

In order from greatest to least is the other way around

[tex]2/5 = 0.4[/tex]

So [tex]7.4[/tex]

Hope this is helpful

2,247

Step-by-step explanation:

you take 1712 and divide that by 16 which is 107 and then you multiply 107 by 21 thus you get 2,247.

Answer:

87.5 square inches

Step-by-step explanation:

(For Diagram,Please Find in Attachment)

Given, in diagram of the belt Knuckle there are 4 Triangles (2 are of same dimensions & another 2 are of same dimensions) and a Rectangle .

Now For Area of belt Knucle, We have to First Calculate the area of 4 triangles and Area of Rectangle.

∴ Area of 2 Triangle with given dimensions ( height = 2.5 inches & base = 9 inches )

Area = 2×(1/2×b×h) ⇔ 2×(1/2×9×2.5)

Area= 22.5 square inches

∴ Area of another 2 triangle with given dimensions ( height = 5 inches & base = 4 inches )

Area = 2×(1/2×b×h) ⇔ 2×(1/2×4×5)

Area= 20 square inches

∴Area of Rectangle with given dimensions ( Length = 9 inches & Width = 5 inches )

Area= length × Width ⇔ 9×5 ⇒ 45 square inches

Now, Area of belt Knucle=Sum of Area of 4 Triangles + Area of Rectangle

Area of belt Knucle = 87.5 square inches

Answer:

$495 (745 if you include the $250 deductible)

Step-by-step explanation:

70% of 700 is 490

700 - 490 = 210

70% of 950 is 665

950 - 665 = 285

210 + 285 = $495

Answer:

495

Step-by-step explanation:

70% of 700= 490

700 - 490= 210

70% of 950= 665

950 - 665= 285

Add them together

210 + 285= 495

The reason you might have gotten 345 is because you subtracted 495 with 250 but 250 is how much he has to pay for the medical insurance, not how much he also get off

Answer:

1. 8r+7

2. 8 ( r-t)

3. 2(3r+5t)

Step-by-step explanation:

See Image below:)