If the tan V=4/3, what is the value of sec V

w-z can be expressed in ploar form as √2∠(7π/4)

Sometimes the expression A(cos(α)+i·sin(α)) is written as A·cis(α). I prefer the notation A∠α, because it is more compact.

 Given: w = √2∠(π/4)

 z = 2∠(π/2)

And you are asked to find the difference w-z in polar form.

In rectangular form, ...

 w = √2∠(π/4) = √2(1/√2 +i/√2) = 1 +i

 z = 2∠(π/2) = 2(0 +i·1) = 2i

Then the difference is ...

 w -z = (1 +i) -(2i) = 1 -i

You may notice this is the conjugate of w, so will have the opposite angle:

w - z = w* = √2∠(-π/4) = √2∠(7π/4)

In the terms used by the problem statement, ...

 w -z = √2(cos(7π/4) +i·sin(7π/4))

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The ratios are Surface area ⇒ 4 : 25 Height ⇒ 2 : 5 and Volume ⇒ 8 : 125

The scale factor is given as:

m : n = 2 : 5

For the area, we take the square of the ratios.

i.e.

Area = 2^2 : 5^2

Evaluate

Area = 4 : 25

For the volume, we take the cube of the ratios.

i.e.

Volume = 2^3 : 5^3

Evaluate

Volume = 8 : 125

The given scale factor can be used for the height of the model and the original bicycle

Hence, the ratios are

Surface area ⇒ 4 : 25

Height ⇒ 2 : 5

Volume ⇒ 8 : 125

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Answer:

the first option I believe

The solution will be the point of intersection of the lines and since the lines are parallel to each other, there is no solution

Inequality are expressions not separated by an equal sign. Given the following inequalities

2x - y > 4

2x - y < -2

The lines for both inequality must be dashed since they do not include equal sign. The first line will be shaded in the upper part while the second in the lower portion

The solution will be the point of intersection of the lines

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Answer:

D. Both graphs are exponential functions.

Step-by-step explanation:

Hope it helps :)

Answer:

24.5

Step-by-step explanation:

All you have to is Multiply 3 1/2 by 7

3 1/2 x 7= 24.5

Answer:

-792

Step-by-step explanation:

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

[tex]\mathsf{-11^3 + 8^3 + 3^3}[/tex]

[tex]\mathsf{= -11\times -11\times -11 + 8\times8\times8 + 3\times3\times3}[/tex]

[tex]\mathsf{= 121\times -11+ 64\times8+9\times3}[/tex]

[tex]\mathsf{= -1,331 + 512 + 27}[/tex]

[tex]\mathsf{= -819 + 27}[/tex]

[tex]\mathsf{= -792}[/tex]

[tex]\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{-792}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

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

The circumference of the tire as described in the task content is; 295.8cm.

It follows from the task content that the tire in discuss is circular and has radius; 47.1cm.

Hence, by the circumference formula; we have;

Circumference = 2πr = 2 × 3.14 × 47.1

Circumference = 295.8cm.

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Simplify the LHS by using the identities above to get the RHS:

Proved

The consecutive two integers are 5 and 6

Linear equations

Let the two consecutive integers be (x+1) and (x). If twice the sum of two consecutive integers is 22 then;

2(x+1+x) = 22

x+x+1 =  22/2

2x + 1 = 11

Subtract 1 from both sides

2x = 11 - 1

2x = 10

x = 5

Hence the consecutive two integers are 5 and 6

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Answer:

100 times stronger

Step-by-step explanation:

The Richter scale is a measurement system for the strength of Earthquakes. The most powerful Earthquakes are at 5-10, while the least powerful ones stay from 1-4.

This is how the Richter scale works:

An earthquake with a magnitude of 2 is 10 times more powerful than an earthquake with a magnitude of 1. Each number is 10 times more powerful than the last.

So, simple math tells us that Magnitude six is 10 times more powerful than magnitude five, and magnitude seven is 100 times more powerful than magnitude 5..

Answer: A translation 1 unit to the left

Step-by-step explanation:

See attached image.

Answer:

[tex]\boxed{E.~36}[/tex]

Step-by-step explanation:

Supporting drawing in the attachment.

The sum of the measures of two consecutive angles is equal to 180°.

3x° + 2x° = 180°

5x° = 180°   I ÷ 5

x° = 36°

Answer:

36

Step-by-step explanation:

I also did this for shsat

Answer:

Finished minutes or more: Yes

Three least tired: No

Best looking bikes: No

Finished the race: Yes

Countries of origin of riders who didn't finish: Yes

Step-by-step explanation:

Things displayed on the board: name of rider, country of origin, finishing time

Finished minutes or more: anyone who finished who wasn't in first

Three least tired: subjective information, not on the board

Best looking bikes: subjective information, not on the board

Finished the race: everyone who doesn't have DNF next to their name

Countries of origin of riders who didn't finish: countries of anyone with DNF next to their name

Answer:

13)x=59 answer is d 14)x=24

Step-by-step explanation:

180-116(angles on a striaght line sum to 180)180-116=64

angle in a triangle sum to 180

64+x=180

64+57=121

180-121=59

x=59

question 14 answer is 24

90+66=156

sum of a triangle is 180

180-156=24

The estimated probability for P(H) is 0.17.

Probability is the stream in mathematics that studies about the likeliness of an event to happen.

It is given that

Total number of times coin is flipped = 30

Total number of times the coin gave heads = 5

Total number of times the coin gave tails=25

The P(H) = Total no. of Heads /  Total outcomes

P(H) = 5 / 30

= 1/6

= 0.1666

≈ 0.17

Therefore the estimated probability for P(H) is 0.17.

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The fraction of the price of the first item is 1/19 if Roxanne bought one item for its regular price and a second item for $ 1.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

In a promotional sale, Roxanne bought one item for its regular price and a second item for $ 1.

Total money Roxanne paid = $20

First item price = 20 - 1 = $19

The fraction of the price of the first item = 1/19

Thus, the fraction of the price of the first item is 1/19 if Roxanne bought one item for its regular price and a second item for $ 1.

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Answer:

BC = 11[tex]\sqrt{2}[/tex]

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin 45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{11}{BC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

BC = 11[tex]\sqrt{2}[/tex]

Answer:

$497

Step-by-step explanation:

Added all three purchases (154.18 + 122.79 + 219.54) will give you $496.51. Rounded to the nearest dollar, you get $497.

Answer:

Step-by-step explanation:

So if you look at the numerator the degree is 2, and if you look at the numerator of the denominator, it's 3. This means that the value of the denominator will grow faster than the numerator, so it will diverge.

To find the first 5 terms simply plug in 1, 2, 3, 4, and 5 as n

[tex]a_1=\frac{1^2-9}{1^3+3} = \frac{-8}{4} = -2}\\a_2 = \frac{2^2-9}{2^3+3} = \frac{-5}{11} = -\frac{5}{11}\\a_3 = \frac{3^2-9}{3^3+3} = \frac{0}{30} = 0\\a_4 = \frac{4^2-9}{4^64+3} = \frac{7}{67} = \frac{7}{67}\\a_5 = \frac{5^2-9}{5^3+3} = \frac{16}{128} = \frac{1}{8}[/tex]

It should converge to a limit of 0, since the denominator is growing faster than the numerator

Answer:

C

Step-by-step explanation:

[tex]\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet[/tex]

[tex]\frak{Good\;Morning!!}[/tex]

[tex]\pmb{\tt{Question\;1}}[/tex]

                 [tex]\star\boldsymbol{\rm{Given-:}}[/tex]

              [tex]\star\boldsymbol{\rm{We're\;looking\;for-:}}[/tex]

This is how it's done.

[tex]\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet[/tex]

There's a special formula that we can use if we need to find the longest side of a right triangle. Fortunately, all of these triangles are right ones! Good.

The formula is. [tex]\boldsymbol{\rm{a^2+b^2=c^2}}[/tex]. This formula is known as Pythagoras' Theorem. This formula only works for right triangles.

Since we have a and b, we can just put in the values (7 for a and 5 for b), And then simplify!

[tex]\boldsymbol{\rm{7^2+5^2=c^2}}[/tex] | 7^2 simplifies to 49, and 5^2 simplifies to 25

[tex]\boldsymbol{\rm{49+25=c^2}}[/tex]. | add

[tex]\boldsymbol{\rm{74=c^2}}[/tex] | square root both sides

[tex]\boldsymbol{\rm{8.6=c}}}[/tex]. | the answer is given to 1 decimal place, as the problem required

[tex]\orange\hspace{350pt}\above5[/tex]

[tex]\pmb{\tt{Question\;2}}[/tex]

 Once more, we're given two sides, and asked to find the third one,  

  which is still the longest side.

[tex]\boldsymbol{\rm{a^2+b^2=c^2}}[/tex] is still the formula used here

Put in 5 for a and 3 for b.

[tex]\boldsymbol{\rm{5^2+3^2=c^2}}[/tex] | 5^2 simplifies to 25, and 3^2 simplifies to 9

[tex]\boldsymbol{\rm{25+9=c^2}}[/tex] | add

[tex]\boldsymbol{\rm{34=c^2}}[/tex] | square root both sides

[tex]\boldsymbol{\rm 5.8=c}}[/tex] | once again it's given to one decimal place

[tex]\hspace{350pt}\above5[/tex]

[tex]\pmb{\tt{Question\;3}}[/tex]

This problem is solved the exact same way

[tex]\boldsymbol{\rm{a^2+b^2=c^2}}[/tex]

[tex]\boldsymbol{\rm{8.2^2+4.7^2=c^2}}[/tex]

[tex]\boldsymbol{\rm{67.24+22.09=c^2}}[/tex]

[tex]\boldsymbol{\rm{89.33=c^2}}[/tex]

[tex]\boldsymbol{\rm{9.5=c}}[/tex], rounded to one D.P.

[tex]\orange\hspace{300pt}\above2[/tex]

[tex]\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet[/tex]

[tex]\pmb{\tt{Question4}}[/tex]

Here we have the longest side and one side length-:

[tex]\boldsymbol{\rm{4^2+b^2=7^2}}[/tex] | 4^2 simplifies to 16 and 7^2 simplifies to 49

[tex]\boldsymbol{\rm{16+b^2=49}}[/tex] | subtract 16 from both sides

[tex]\boldsymbol{b^2=33}[/tex] | square root both sides

[tex]\boldsymbol{\rm{b=5.7}}[/tex]

[tex]\orange\hspace{300pt}\above3[/tex]

[tex]\pmb{\tt{Question\;5}}[/tex]

[tex]\boldsymbol{\rm{3.8^2+b^2=7.9^2}}[/tex]

[tex]\boldsymbol{\rm{14.44+b^2=62.41}}[/tex]

[tex]\boldsymbol{\rm{b^2=47.97}}[/tex]

[tex]\boldsymbol{\rm{b=6.9}}[/tex]

[tex]\orange\hspace{300pt}\above3[/tex]

[tex]\pmb{\tt{Question\;6}}[/tex]

[tex]\boldsymbol{\rm{a^2+6.1^2=7.3^2}}[/tex]

[tex]\boldsymbol{\rm{a^2+37.21=53.29}}[/tex]

[tex]\boldsymbol{\rm{a^2=16.08}}[/tex]

[tex]\boldsymbol{\rm{a=4.0}}[/tex]

[tex]\pmb{\tt{done~!!!}}[/tex]

[tex]\orange\hspace{300pt}\above3[/tex]

Answer:

  -S = 15

Step-by-step explanation:

You are asked to find the opposite of the given value.

The opposite of an integer value is obtained by changing its sign.

  S = -15

  -S = -(-15) = 15

__

Additional comment

Equivalently, you are multiplying by -1. The product of an even number of minus signs is a plus sign. We usually don't write the plus sign for a numerical value.

The points (s, t) that will maximize John's profit is; (12, 0)

We are given the inequality constraints;

s ≤ 12 - 0.5t

s ≥ 10 - t

s ≤ 20 - t

s ≥ 0

t ≥ 0

We are told that John sells the T-shirts for $6 each and the shorts for $14 each. Since the coordinate point is (s, t), when we look at the options and compare with each of the constraints, it is clear that the points (s, t) that will maximize John's profit is; (12, 0)

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Answer:

25 ft

Step-by-step explanation:

c = √a^2 + b^2 = √20^2 + 15^2 = 25ft

Hooke me up with a 5 star and a thanks :)

Step-by-step explanation:

Just plug in -2 anywhere you see an a

[tex]f(a)=2a^3+3a^2+5\\f(-2)=2(-2)^3+3(-2)^2+5\\f(-2)=2(-8)+12+5\\f(-2)=-16+12+5\\f(-2)=1[/tex]

⊰________________________________________________________⊱

Answer [tex]\curvearrowright[/tex] [tex]\\[/tex]

f(-2)=1

Step-by-step explanation [tex]\curvearrowright[/tex]

Given,

To find,

                                           All work is shown here. :))

[tex]\Large\begin{gathered} \boldsymbol{\sf{Plug \ in \ the \ number \ for \ a, \ which \ is \ -2 (it's \ given \ to \ us). Then}}\\ \boldsymbol{\sf{evaluate,}} \\ \curvearrowright\\\boldsymbol{\sf{Now \ substitute \ -2}} \\\curvearrowright\\\sf{2(-2)^3+3(-2)^2+5}\\\sf{2*(-8)+3*4+5}\\\sf{}-16+12+5=-4+5}\\\underline{\boxed{\sf{f(-2)=1}}}\end{gathered}[/tex]

Done !!

⊱______________________________________________________⊰

[tex]\tiny\pmb{CALLIGRAPHY}[/tex]

Answer:

437.50 is the cost of 25kg of apple's.

Answer:

And here's your answer: 39.14

Step-by-step explanation:

First, add all the numbers up

then divide them all by 14

Answer:

x = 14

Step-by-step explanation:

110 + 5x = 180

-110 -110

5x = 70

divide by 5 on both sides

x = 14

to find y add 70 + 40 + missing angle = 2y

missing angle is 70 because 70+40+70 = 180

so 2y = 110

y = 55

Answer:

x=14

y=55

Step-by-step explanation:

5x and  110 form a straight line so they add to 180

5x+110 =180

5x = 180-110

5x = 70

Divide by 5

5x/5 = 110/5

x = 14

We know the exterior angle of a triangle is equal to the sum of the two opposite interior angles

40 + 5x = 2y

Substitute in 14 for x

40 +5(14) = 2y

40 + 70 = 2y

110 = 2y

Divide by 2

110/2 =2y/2

55 = y

Answer: [tex]4\pi r^{2}[/tex]

Step-by-step explanation:

Area of a circle is pi r squared