Please help simplify and write your answer in the form a + bi

Answer:

The answer would be B.

Step-by-step explanation:

It couldn't be A because it  just doesn't make sense because if the dot means a student then what are the numbers on the bottom mean.

It also couldn't be D because nowhere does it say anything about teachers.

Hope this Helps! :)

Answer:

Step-by-step explanation:

1). By applying Pythagoras theorem in the triangle formed by two sides and the diagonal,

Length of the diagonal = [tex]\sqrt{(\text{side})^2+(\text{side})^2}[/tex]

                                      = [tex](\text{side})\sqrt{2}[/tex]

                                      = 25√2

                                AC ≈ 35.56 units

2). Since, diagonal of a square is the angle bisector of interior angles of the square,

m∠CAB = 45°

By applying sine rule in ΔABC,

sin(45°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{AB}{AC}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{25}{AC}[/tex]

AC = 25√2

AC ≈ 35.56 units

Answer:

$5x + $4y ≤ $120

let x = 10

y = 5

$70  ≤ 120

Step-by-step explanation:

Note that

> means greater than

< means less than

≥  means greater or equal to

≤ means less than or equal to

the total amount Shanley has is $120. She can spend less than this amount or the amount exactly. So, the inequality sign to be used is ≤

$5x + $4y ≤ $120

let x = 10

y = 5

(50) + 20  ≤ 120

$70 ≤  120

Answer:

this may help you.look it once.

Answer: 88 degrees; acute triangle

Step-by-step explanation:

All angles of a triangle must add up to 180 degrees. Therefore, to find the value of "x", the work must look like this: 43+49=92 --> 180-92=88. This triangle can be classified as an acute triangle since all of its angles are acute (less than 90 degrees).

Answer:

-8 km

Step-by-step explanation:

Answer:

P(pink or even) is [tex]\frac{9}{10}[/tex].

Step-by-step explanation:

Since the cards that meet the requirement can be pink or even, that means there are 9 cards that meet the requirement. Since there are a total of 10 cards, that means P(pink or even) is [tex]\frac{9}{10}[/tex].

Based on the cards shown, P(pink or even) is equal to 9/ 10.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The cards that meet the requirement can be pink or even, which means there are 9 cards that meet the requirement.

Since there are a total of 10 cards, that means P(pink or even) is 9/ 10.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

this is because 1lb is equal to 0.0625oz

Answer: 6hrs & 16mins

Step-by-step explanation:

Answer:

Angle ABC = 66 degrees

Step-by-step explanation:

Let's first focus on Triangle BHC

The formula to find the third angle of a triangle is that all 3 sides must add up to 180 degrees.

We can immediately see that Angle FAB and Angle BHG is equal since they are alternating interior angles.

We are then given that BCH is 18 degrees. Therefore the equation will be:

48 + 18 + ? = 180

The third side of Triangle BHC is 114 degrees.

Now, let's switch to what we actually need to find. (Angle ABC)

We can see that Angle HBC + Angle ABC = 180 degrees!

Substitute what we already know:

Angle HBC (114 degrees) + Angle ABC = 180 degrees.

Therefore, we end with:

Angle ABC = 66 degrees.

Answer:

Step-by-step explanation:

The weight of the other tiger is 11x - 14.

The total weight of the two tigers is 16x + 3.  Subtract the weight of one (5x + 17) from this total; the result is the weight of the other tiger:

  16x + 3

-  ( 5x + 17)

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

 11x - 14

The weight of the other tiger is 11x - 14.

Answer:

x= -8/35  

Step-by-step explanation:

Answer:

Circle.

Step-by-step explanation:

The cross section's 2D-shape is created by the part that is not filled in. In this case, the shape created takes the form of a circular shape, ∴ circle is your answer.

~

Answer:

y= 5x - 3

Step-by-step explanation:

For the slope, use this formula (y2 - y1) / (x2 - x1)

I used (1,2) and (2,7) from the chart

plug 7 for y2, and 2 for x2

then plug 2 for y1, and 1 for x1

7-2 / 2-1 = 5/1 = 5    <-- this is the slope.

Find the y intercept by plugging in (1,2) into y=5x + b

2 = 5(1) +b

2= 5 + b  (subtract 5 on both sides)

-3 = b

So the answer is y= 5x - 3

Answer:

No, it is a quadratic function.

Step-by-step explanation:

An exponential function has the variable as the exponent. 3^x would have been an example of an exponential function. In this function, the exponent is not variable, it is 2. Therefore this is a quadratic function, not an exponential one.

Answer:

Coffee Shop B charges .50 cents more.

Step-by-step explanation:

I evaluated the graph and concluded that Coffee Ship B charges .50 cents more.

Answer:

(n +54)/9 = 21; 135= n

Step-by-step explanation:

(n+54)/9 = 21

n+54/9 *9= 21*9

n+54-54 = 189-54

n= 135

the first part is simply recognizing the order its written and the words used.

So to start off with, they use the turn "a number" so we know there's going to be some form of a variable. From there it says "increased by" rather than "multiplied" or "doubled" or something of that nature, so we know its adding 54 rather than multiplying. Then, the next part says that "the sum" which is another key term for addition, "is then divided by 9". So we can assume so far that a variable plus 54 is added together to get a number, which is then going to be taken and divided by 9. The last part says "the result is 21", which simply means that we need to end up with 21.

So once we gather all this information, we can put it together as so: (n +54)/ 9 = 21.

I put parentheses around the n + 54 to make sure that the equation is following the system of equations (PEMDAS).

Answer:

The door was opened by whom?

5x+2=52

5X=52-2

5x=50

5x/5=50/5

X=10

Answer:

A

Step-by-step explanation:

12²+7²=193

√193=13.9

13.9 ≠ 14

Answer:

l =10 units, 9.7 units, 5.5 units

Step-by-step explanation:

Area = length x breadth

Area of a square = l^2

100= l^2

√100 =√l^2

l=10 units

95=l^2

√95 = √l^2

l= 9.7 units

30=l^2

√30=√l^2

l= 5.5 units

Answer:

The solution is (2,-1)

Answer:

x = 2

y = -1

Step-by-step explanation:

I used substitution

Answer:

d = t(.7)

Step-by-step explanation:

We can start by dividing the values on the right by the values on the left.

Starting with the first one, 7/10=.7

It gives us .7

To double check this we can use the second values, 10.5/15=.7

It gives us .7

and even if we still aren't sure we see the last value also gives us the same answer, 14/20=.7

This means that if we multiplied the time by .7 for any of the time values, we would get our distance values.

Hope this helps! :)

[tex] \huge\boxed{♧ \: \mathfrak{ \underline{Answer} \: ♧}}[/tex]

here's the solution,

=》

[tex]f( \theta) = \cos( \theta) + 2 \cos( \frac{ \theta}{2} ) [/tex]

=》

[tex]f(60) = \cos(60) + 2 \cos( \frac{60}{2} ) [/tex]

=》

[tex]f(60) = \dfrac{1}{2} + 2 \cos(30) [/tex]

=》

[tex]f(60) = \dfrac{1}{2} + (2 \times \frac{ \sqrt{3} }{2})[/tex]

=》

[tex]f(60) = \dfrac{1}{2} + \sqrt{3} [/tex]

=》

[tex]f(60) = \dfrac{1 + 2 \sqrt{3} }{2} [/tex]

hence, correct option is C.

Answer:

I think No C

I hope it helps

have a great day!

#Captainpower

Answer:

46.6028 Miles

Step-by-step explanation:

If you're looking for the amount of miles they'd traveled, this is the exact amount. If you're looking for your answer in Kilometers, they'd travel 70 km total.

35 km/hr x 2 = 75 km total

Hope this helped! If it didn't let me know what you need help solving.