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3 years ago

An animator is drawing a scene in which a ladybug moves around three mushrooms. The figure shows

Mathematics

1 answer:

blondinia [14]3 years ago

3 0

Answer:

(-1, 4)

Step-by-step explanation:

Original position of the ladybug → (-1, 4)

Animator rotates the ladybug 180° around the mushroom A.

Coordinates of the new position of the ladybug → (-5, -4)

Now this point is rotated by 180° around the mushroom B,

Coordinates of the new position → (0, 3)

Point (0, 3) has been rotated again by 180° about the mushroom C,

Coordinates of the new position → (-1, 4)

Therefore, ladybug will come back to its original position after these transformations at (-1, 4).

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Question is on the picture !

Nataly [62]

Answer: 122.5

======================================================

Explanation:

First thing to do is to find the perimeter of figure B. Add up all the sides and we get: 5+9+9+12 = 14+21 = 35.

The scale factor 7:2 means that if the perimeter of figure A was 7, then the perimeter of figure B would be 2. Or it could be 14 for A and 4 for B. And so on. The idea is that the two perimeters scale up or down together. This allows us to set up the proportion below in which we can solve for x

(perimeter of A)/(perimeter of B) = 7/2

x/35 = 7/2

x*2 = 35*7 .... cross multiply

2x = 245

2x/2 = 245/2 .... divide both sides by 2

x = 122.5

The perimeter of figure A is 122.5

4 0

3 years ago

Lexie, a bowler, claims that her bowling score is more than 140 points, on average. Several of her teammates do not believe her,

Crazy boy [7]

Answer:

The test statistic is $t = 3.744$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 140$

The The level of significance is $\alpha = 0.05$

The sample size is n = 18

The null hypothesis is $H_o : \mu = 140$

The alternative hypothesis is $H_a : \mu > 140$

The sample mean is $\= x = 155$

The standard deviation is $\sigma = 17$

Generally the test statistics is mathematically represented as

$t = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }$

substituting values

$t = \frac{ 155 - 140 }{ \frac{ 17 }{ \sqrt{18} } }$

$t = 3.744$

7 0

3 years ago

Whats the volume of them combined

Flura [38]

Answer:

Step-by-step explanation:

2x2x13=52

2x2x5=20

52+20=72

8 0

2 years ago

The human population doubles approximately every 50 years if there were 2.5 million people in 1950 how many people are forecaste

Margarita [4]

The equation that would let us determine the number of people or population at a certain year is calculated through the equation,

A(t) = A(o)(2^(t - 1950)/50)

Substituting the known values,

A(t) = (2.5 million people)(2^(2100 - 1950)/50))

A(t) = 20 million

<em>Answer: 20 million people</em>

3 0

3 years ago

Math<br> My fatal weakness<br> Especially on Fridays

swat32

Answer:

1 is 28 as it is just asking the area (At least I think)

2 is 22 as it is perimeter

Step-by-step explanation:

4x7 is 28 (For one)

8 (4+4) + 14 (7+7) = 22

Have a great day!

4 0

3 years ago