MATHEMATICS HIGH SCHOOL

_ - 72 = 62 - 53

Fill in the missing number

Answers

Answer 1
Answer: 71-9=62 62-9=53 53-9=44 so let’s subtract 9 from our most current number.35. 35-9=26 the up coming number in your sequence is 26

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Which fractions are equivalent to - 4/9 ?Choose all answers that are correct.

A.
-2/5

B.
-8/18

C.
16/-36

D.20/45

Answers

b] -8/18

-4/9 times 2=-4/9

Which sum or difference identity would you use to verify that cos (180° - q) = -cos q?

Answers

Answer:

\cos (a-b)=\cos a \cos b+\sin a \sin b

Step-by-step explanation:

 Given : \cos (180^(\circ)-q)=-\cos q

We have to write which identity we will use to prove the given statement.

Consider \cos (180^(\circ)-q)=-\cos q

Take left hand side of given expression \cos (180^(\circ)-q)

We know

\cos (a-b)=\cos a \cos b+\sin a \sin b

Comparing , we get, a= 180° and b = q

Substitute , we get,

\cos (180^(\circ)-q)=\cos 180^(\circ)  \cos (q)+\sin q \sin 180^(\circ)

Also, we know \sin 180^(\circ)=0 and \cos 180^(\circ)=-1

Substitute, we get,

\cos (180^(\circ)-q)=-1\cdot \cos (q)+\sin q \cdot 0

Simplify , we get,

\cos (180^(\circ)-q)=-\cos (q)

Hence, use difference identity to  prove the given result.
cos (180° - q) = -cos q
First you would use the sum and difference formula of 
cos(a – b) = cos(a)cos(b) + sin(a)sin(b) because you have a difference inside the parentheses for cosine.

Hope this helps.

2) What are the coordinates of the vertices of the triangle under the translation (x, y)(x+3, y+2)? Draw the translated triangle.

Answers

Although you did not include the coordinates of the original triangle, I can explain you the procedure and so can can calculate the answer:

1) Translation (x,y) → (x+3, y+2) means that:

* the x-coordinates of the original triangle will transform into x + 3 in the new triangle, and

* the y-coordinates of the original triangle will transform into y + 2.

2) So if the three vertices of the original triangle are (a,b), (c,d), (e,f), the new triangle will have vertices (a+3, b+2), (c+3, d+2), and (e+3, f+2).

That is it.

4)  Regarding the drawing of the new triangle, what the translation rule means is that you shift all the points 3 units to the right and 2 units upward.

Then move each vertex 3 units to the right and 2 units upward and join the new vertices to have the new triangle.

This is a very easy way to understand the translation rule and will permit you to do the graph quickly.
 
 

Final answer:

The coordinates of the vertices of the translated triangle are found by adding 3 to the x-coordinates and 2 to the y-coordinates of the original triangle's vertices. To draw the translated triangle, plot these new coordinates and connect them. This explains the process of translating a triangle using a translation vector in a coordinate plane.

Explanation:

The question you're asking is about the translation of a triangle in the coordinate plane. The translation vector is defined as (x+3, y+2). Let's suppose we have a triangle with vertices A, B, and C with coordinates (xA,yA), (xB,yB), and (xC,yC) respectively.

To find the coordinates of the vertices of the translated triangle, we simply apply the translation vector to each vertex. This means that we add 3 to the x-coordinates and 2 to the y-coordinates of each vertex. Thus the translated vertices A', B', C' are given by:

  • A': (xA+3, yA+2)
  • B': (xB+3, yB+2)
  • C': (xC+3, yC+2)

To draw the translated triangle, plot the coordinates of A', B', C' on your graph, and connect them to form the triangle. This will be your translated triangle using the given translation vector.

Learn more about Triangle Translation here:

brainly.com/question/21117201

#SPJ12

An airplane left atl with 52 empty seats. If the air plane was 75% full, what was the total number of seats

Answers

x-total\ number\ of\ seats\nx-52-occupied\ seats\n75\%=0.75\n100\%=1\n\nFrom\ proportion:\n\nx-52\ \ \ -\ \ \ 0.75\nx\ \ \ \ \ \ \ \ \ \ -\ \ \ 1\n\nx-52=0.75x\nx-0.75x=52\n0.25x=52\ \ \ \ |\cdot4\nx=208\n\nTotal\ number\ of\ seats\ was\ 208.

What would be the cost for 5 of the cost for 5 of the gift cards a $80
b $90
c$100
d$110

Answers

Answer:

Cost for the 5 gift cards = $20

Step-by-step explanation:

In the given graph,

y axis shows the "total cost" in dollars

x axis shows the "number of gift cards"

According to the graph:

Cost of 1 card    = $20

Cost of 2 cards = $40

Cost of 3 cards = $60

Cost of 4 cards = $80

We see that that relation represents the linear relation.

So, cost of 5 cards = 5*$20 = $100

That's the final answer.

I hope it will helps you.
the table shows that 1 gift card equals 20 dollars... so 20 * 5 = 100
so your answer is C.) $100

Preparation for the homecoming football game, members of the student body are painting the spirit rock in front of the school. If Angela works alone, it will take her five and a half hours. If Brandon works alone, it will take him 7 hours. If they work together, it will take them approximately hours ?

Answers

The time required when Angela and Brandon work together, for the preparation for the homecoming football game, is 3.08 hours.

What is the relation between work and time?

The total time taken is inversely proportional to the rate of work. If a unit of workis done in total n number of days, then the total work done in a day can is,

W_1=(1)/(n)

In preparation for the homecoming football game, members of the student body are painting the spirit rock in front of the school.

If Angela works alone, it will take her five and a half hours. The work done by Angela in one hour is,

A=(1)/(5.5)\nA=(2)/(11)

If Brandon works alone, it will take him 7 hours. The  work done by Brandon in one hour is,

B=(1)/(7)

The work done in one hour, when the work together,

A+B=(2)/(11)+(1)/(7)\nA+B=(14+11)/(77)\nA+B=(25)/(77)\nA+B=(1)/(3.08)

Thus, the time required when Angela and Brandon work together, for the preparation for the homecoming football game, is 3.08 hours.

Learn more about the work and time here;

brainly.com/question/25572872

Answer:

3.08 hours

Step-by-step explanation:

Preparation for the homecoming football game, members of the student body are painting the spirit rock in front of the school.

If Angela works alone, it will take her five and a half hours.

If Brandon works alone, it will take him 7 hours. If they work together, it will take them approximately hours ?

This is calculated as:

The Number of hours they worked together = T

1/5.5 + 1/7 = 1/T

= 7 + 5.5/(5.5)(7)

= 12.5/38.5

1/T = 12.5/38.5

Cross Multiply

12.5T = 38.5

T = 38.5/12.5

T = 3.08 hours
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