What is the sum of sqrt3 - i and 2 - sqrt3i?

Answer:

23

Step-by-step explanation:

20 - 3(-1)

20 - (-3)

20 + 3 =

23

Answer:

31/40

Step-by-step explanation:

it cannot be simplified any further

Answer:

3/4

Step-by-step explanation:

First, you have to find a common demenator between the fractions, you can do this by multiplying the denomenators together, 8 * 5 is 40

Next, you have to multiply the first fraction by 5/5 and the second fraction by 8/8 and now you have 15/40 + 16/40, and now that the fractions have the same denomenators you can just add the numerators

And you get 30/40, which can be reduced to 3/4 by diviging both the numerator and denomenator by 10

Answer:

See Explanation

Step-by-step explanation:

Required

Pair of animal the van can carry

The question is incomplete, as the animals and their weights are not given.

So, we make the following assumed parameters [in other to answer the question]

[tex]Goat = 2500lb[/tex]

[tex]Cow = 4500lb[/tex]

[tex]Dog = 1500lb[/tex]

[tex]Pig = 3000lb[/tex]

Add the weights of any two animals

[tex]Goat + Cow = 2500lb + 4500lb = 7000lb[/tex]

[tex]Goat + Dog = 2500lb + 1500lb = 4000lb[/tex]

[tex]Goat + Pig = 2500lb + 3000lb = 5500lb[/tex]

[tex]Cow + Dog = 4500lb + 1500lb = 6000lb[/tex]

[tex]Cow + Pig = 4500lb + 3000lb = 7500lb[/tex]

[tex]Dog + Pig = 1500lb + 3000lb = 4500lb[/tex]

Next: Select the sum that are less than or equal to 5000lb

[tex]Goat + Dog = 2500lb + 1500lb = 4000lb[/tex]

[tex]Dog + Pig = 1500lb + 3000lb = 4500lb[/tex]

Identify the pairs

(Goat, Dog) and (Dog, Pig)

Using the assumed parameters, the van can only transport the pairing of:

(1) Goat and dog

(2) Dog and pig

Hello!

This is a problem about relating circle theorems to line lengths.

We can first see that both line segment MK and CM are secants within the circle that come from a common point K.

This means that the Intersecting Secant Theorem applies here.

The Intersecting Secant Theorem states that if two secants are formed from a common point outside the circle, the length of each secant multiplied by the length of its corresponding external secant are equivalent.

We can set up the following equation.

[tex]8(8+x+5)=7(7+2x+1)[/tex]

[tex]8(x+13)=7(2x+8)[/tex]

[tex]8x+104=14x+56[/tex]

[tex]6x=48[/tex]

[tex]x=8[/tex]

Using this value, we can find the length of line segment MK.

[tex]MK=x+5+8[/tex]

[tex]MK=8+5+8[/tex]

[tex]MK=21[/tex]

Hope this helps!

Answer:

We have a triangle rectangle here.

We know that:

AC =  15

BC = 8

AB = 17

We know that in a triangle rectangle the longest side is the hypotenuse.

In the image we can see that the shorter side is the base, then BC is the base.

AC is the height.

AB is the hypotenuse.

Such that:

A is the top vertex.

B is the bottom right vertex

C is the bottom left vertex.

Now you need to remember the relations:

Sin(θ) = (opposite cathetus)/(hypotenuse)

Cos(θ) = (adjacent cathetus)/(hypotenuse)

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

then:

Sin (A) = (AC)/(AB) = 15/17 = 0.88

Cos(B) = (AC)/(AB) = 15/17 = 0.88

Tan(B) = (AC)/(CB) = 15/8 = 1.875

Now we want to find the measure of angle A.

We know that:

Sin(A) = 0.88

Then if we apply the Asin( ) function in both sides, we get:

Asin( Sin(A)) = Asin(0.88)

A = Asin(0.88) = 61.6°

(the Asin() function is the inverse of the sin() function)

Now we have:

sin(x) = 0.906

We do the same thing as before.

Asin(sin(x)) = Asin(0.906)

x = Asin(0.906) = 65°

And:

Sin(87°) = 0.999

Answer:

two expressions that are equivalent to 7x10^-4

=7/10000or 7/10^4

Answer:

Pretty sure it’s D

Step-by-step explanation:

Answer:

is there supposed to be a picture connected to this?

Answer:

what is the question?

Step-by-step explanation:

please let me know.

thanks

it is C

Step-by-step explanation:

got an A for homework

Answer:

[tex]y=\frac{5}{9}[/tex]

Step-by-step explanation:

For the graph of [tex]y=f(x)[/tex],

the horizontal asymptote becomes [tex]y=\frac{5}{9}[/tex]

Answer:

53∘

plz mark me as brainliest.

Answer:

110 minutes or 1 hour 50 minutes

Step-by-step explanation:

44 divided into 4 since we want to find out how much time it takes to run 1 mile, so 44 divided into 4 is 11

then simply multiply 11 with 10 and the answer is 110

: )

Answer:

the first one is 4.03 and the second one os 4.33

Answer:

4.03 and 4.33 is the answer.

Step-by-step explanation:

The numbers increase by +0.1

∴ 4.03, 4.13, 4.23, 4.33, 4.43, 4.53

Answer: The probability is 5/6

Step-by-step explanation:

Answer:

A it skews the data to the right

Step-by-step explanation:

A

Answer:

7) is $1.70

8) is 8 miles per hour

9) is Store A is the better buy

10) is 222

11) is the area is 6

12) is the range is 14

8.)8 miles per hour

20 = 150

X = 60

20 x 60 = 150x

1200 = 150x

X = 8

9.)better buy number A

44.68 /16 = 2.7925

31.57 /11 = 2.87

11.) The area of this figure is 6

3 X 2 = 6

12) Range of the data set is 14

15 - 1 = 14

Answer:

C..... I think it is a answer

Speed = Distance/Time

So, speed

= 300 km/2h

= 150km/h

= (150 × 1000m) / 3600s

= 150000m/3600s

= 41.66m/s [approximately]

Answer:

10/3 pizza

Step-by-step explanation:

step one:

This problem is focused on ratios and fractions

from the problem statement, Martin has 5/6 pizza

Liam has 4 times more of what Martin have

step two:

so we can express what Liam has as

=(5/6)*4 = 20/6or

=5/6+5/6+5/6+5/6= 20/6

= 20/6

Answer:

Step-by-step explanation:

Equation is below

Step 1

(3x^2 y^5)^4  

Step 2

(3x^2 y^5)^4  Simplify

81x^8y^20

Step 3

81x^8y^20  check

Answer

81x^8y^20

Hope this helped

Answer:

choice 2) y ≤ 1

Step-by-step explanation:

Answer: B I think!

Step-by-step explanation:

Answer:

Step-by-step explanation:

exponent on 1 is 9

Answer:

x = 12

Step-by-step explanation:

(x + 42)° + 3x° = 90°

x + 3x + 42 = 90

4x = 90 - 42

4x = 48

x = 12

Answer:

12

Step-by-step explanation:

here's your solution

=> area of rectangle = length*width

=> area 4*3 = 12.squnit

=> area of square = side^2

=> area = 1.squnit

=> Number of square = area of rectangle/area of square

=> no of square = 12/1

=>. 12

Answer: x = -3/4

Step-by-step explanation:

Remember:

[tex]\sqrt{a}=b\\\\a=b^2[/tex]

-----------------

[tex]\frac{\sqrt{4x + 19} }{2} = 2\\\\\sqrt{4x + 19} = 4\\\\(4x+19)=4^2\\\\4x +19 = 16\\\\4x=16-19\\\\4x = -3\\\\x =\frac{-3}{4}[/tex]

Answer:

132 degrees

Step-by-step explanation:

To solve this problem, you need to know a couple of rules

1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.

2)Angles of a quadrilateral shape add up to 360 degrees.

3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.

So first, solve angle S with inscribed angle theorem. 126/2 = 63

Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.

Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.  

Let me know if this doesn't work, I'll look at it again.

Answer:

See solutions below

Step-by-step explanation:

a) Given the expressions

x³y and x⁴y³

Find their factors

x³y = (x * x * x * y)

x⁴y³ = (x * x * x * y) * x * y * y

GCF = x*x*x*y

GCF = x³y

The expressions in parenthesis is the GCF. Hence the GCF of x³y and x⁴y³ is x³y

b) For 48m⁶n⁵p⁴ and 20m⁴n⁵p⁶

48m⁶n⁵p⁴ =12 * (4 * m⁴ * n⁵ * p⁴) * m²  

20m⁴n⁵p⁶ = 5 * (4 * m⁴ * n⁵ * p⁴) * p²  

GCF is the expression common to both terms

GCF = 4 * m⁴ * n⁵ * p⁴

GCF = 4m⁴n⁵p⁴