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VLD [36.1K]
3 years ago
7

Please help I need this done by tomorrow Thank you

Mathematics
2 answers:
PtichkaEL [24]3 years ago
5 0

19. C

20. B

21. 200

22. im not sure if im right but i think p+6

23. C

24. Can't see

Pavlova-9 [17]3 years ago
3 0

Question 1:

For this case we must find the value of the following expression:

4 ^ 3-3 ^ 3

So we have to:

4 ^ 3 = 4 * 4 * 4 = 4 ^ 2 * 4 = 16 * 4 = 64\\3 ^ 3 = 3 * 3 * 3 = 3 ^ 2 * 3 = 9 * 3 = 27

Substituting we have:

64-27 =\\37

Thus, the value of the expression is 37.

Answer:

4 ^ 3-3 ^ 3 = 37

Option C

Question 2:

For this case we have the following expression:

2 * 3 ^ 2

We must simplify it!

We have to:

3 ^ 2 = 3 * 3 = 9

Rewriting the expression we have

2 * 9 =

2 times 9 is 18.

Finally we have to:

2 * 3 ^ 2 = 18

Answer:

2 * 3 ^ 2 = 18

Option B

Question 3:

For this case we have that by definition, the perimeter of a square is given by:

P = 4l

Where:

l: It's the side of the square

In this case they tell us that:

l = 50 \ in

Thus:

P = 4 * 50\\P = 200 \ in

Now we must do a conversion. By definition we have to:

1 foot equals 12 inches. So:

200 \ in * \frac {1} {12} * \frac {ft} {in} = \frac {50} {3} ft = 16.67ft\\

Answer:

The perimeter of the garden is 16.67 \ ft

Question 4:

For this case we have to:

Let "p" be the variable that represents the number of pages Nora read yesterday.

If today I read 6 more than yesterday, then we can write the following expression:

p + 6

So, the number of pages that Nora read today is p + 6

ANswer:

The number of pages that Nora read today isp + 6

Question 5:

For this case we have that by definition, the area of ​​a triangle is given by:

A = \frac {b * h} {2}

Where:

b: It is the base of the triangle

h: It is the height

We have as data that:

b = 5 \ cm\\h = 8 \ cm

Substituting we have:A = \frac {5 * 8} {2} = \frac {40} {2} = 20 \ cm ^ 2

The area of ​​the triangle is20 \ cm ^ 2

Answer:

Option B

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Answer:

AAS Theorem

Step-by-step explanation:

we can see that

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angle VZY ≅ angle VWY

side VY shared by both triangles.

by Angle- Angle- SIde (AAS), the triangles are congruent.

4 0
4 years ago
The data table represents the distance between a well-known lighthouse and a cruise ship over time. The cruise ship is travellin
Trava [24]
Find the velocity first, the "slope".

m=(y2-y1)/(x2-x1)

m=(95.5-53)/(4-2)

m=21.25  ?  Your equations are wrong, I'll double check with another set of points...

m=(350.5-308)/(16-14)

m=21.25  LOL, yep none of your lines has the correct slope.

Anyway...

y=21.25x+b, using any point we can solve for the y-intercept, or "b", (2, 53)

53=21.25(2)+b

53=42.5+b

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So essentially, you should fire your teacher or burn that book you are using :)

6 0
4 years ago
Read 2 more answers
If the length of a rectangular garden is 2 feet less than the length of a house and the width of the garden is 5 feet less than
Goshia [24]

Answer:

A(h)  =  h²/2 - 6*h + 10

Step-by-step explanation:

The garden is rectangular, and area of a rectangle is:

A(r) = L*w

Where L is the length and w is the width of the rectangle

Now if we call "h" the length of the house, we have the following expressions

L = h - 2  and

w = h/2 - 5

The expression for the area f the ectangle as a function of the length of the house is:

A(h)  =  ( h - 2 )* ( h/2 -5 )

A(h)  = h²/2 - 5*h - h + 10

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3 0
3 years ago
A CD with a diameter of 120 millimeters rotates a rate of 45 revolutions per minute. Find the linear speed of the CD in millimet
ale4655 [162]

9514 1404 393

Answer:

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  • 90π ≈ 282.7 radians/min

Step-by-step explanation:

The circumference of the CD is ...

  C = πd

  C = π(120 mm) ≈ 376.99 mm

This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:

  (376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min

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There are 2π radians in each revolution, so the angular speed is ...

  (2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min

6 0
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shepuryov [24]
-4 or -\frac{4}{1} 

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