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Bogdan [553]
3 years ago
14

Translate the figure 5 units up. Then decide if each statement about translated figures is true or false,

Mathematics
1 answer:
m_a_m_a [10]3 years ago
5 0

Answer:

First, second, and third are true.

Fourth is false.

Step-by-step explanation:

1. When we're translating a figure, everything about the figure stays the same except its location on the coordinate plane. The side lengths, the angle measures, and parallel sides will not change.

2. The fourth one is false because two figures/objects are congruent if they have the same shape and size. Since translation only affects the location on a coordinate plane, the original and final figure are congruent.

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For a continuous random variable x, the probability density function f(x) represents
jarptica [38.1K]

Answer:

Option d.

Step-by-step explanation:

we know that

The graph of a continuous probability distribution is a curve. Probability is represented by area under the curve.

The curve is called the probability density function (abbreviated as pdf).

We use the symbol f(x) to represent the curve

therefore

The probability density function f(x) represents . the height of the function at  x.

7 0
4 years ago
You downloaded a video game to your computer. You have a 60-minute free trial of the game. It takes 5 1/6 minutes to set up the
igomit [66]

Answer:

B.

Step-by-step explanation:

Given,

The time for set up the game =  5\frac{1}{6} minutes,  

Also, the time for each level of game is 7\frac{1}{3\\} minutes,  

If there are l levels of games,  

Then the time taken in all levels of game = (7\frac{1}{3}) l<em> </em>

Hence, the total time ( in minutes ) = Set up time + time in all level

= 5\frac{1}{6} +(7\frac{1}{3}) l

We have 60-minute of free trial of the game,

So, the total time taken can not be exceed to 60 minutes,

= 5\frac{1}{6} +(7\frac{1}{3}) l\leq 60

Which is the required inequality.  

Option 'B' is correct.

5 0
2 years ago
A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.
scZoUnD [109]

Answer: The required ratio will be

84:1034

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

2x=30\\\\x=\frac{30}{2}=15\ inches

So, Length of AD becomes

3x=3\times 15=45\ inches

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

\frac{30}{2}=15\ inches

So, Area of semicircle along AB and CD is given by

2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2

Radius of semicircle along AD is given by

\frac{45}{2}=22.5\ inches

Area of semicircle along AD and BC is given by

2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2

And the combined area of the semicircles is given by

\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2

Area of rectangle is given by

Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034

Hence, the required ratio will be

84:1034

8 0
3 years ago
If the surface area of the box of cereal is 272 inches squared, find the length of the box.
LekaFEV [45]

Answer:

x= 8 inches

Step-by-step explanation:

you left out the other lengths but since i had this same question once, the other lengths are 12 and 2-

dimensions of the box:

12 in x 2 in x ?

=272 square inches

and we know that there are 6 faces

area=  2 *(12 * 2) + 2 *(2*x) + 2 *(12*x)

area = 272 sq. in.  = 48 + 4x + 24x

272 = 48 + 28x

272 - 48 = 28x

224 = 28x

x = 8 inches

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

5 0
3 years ago
^<br> 6 m<br> 8 m<br> What is the length of the hypotenuse?<br> C =<br> meters
ikadub [295]

Answer:

formula: a squared + b squared= c squared

6 squared+ 8 squared= c squared

36+64= c squared

100= c squared

Square root both sides

You get 10= c

5 0
3 years ago
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