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2 years ago

Lengths

Mathematics

2 answers:

DENIUS [597]2 years ago

5 0

Answer:wow

Step-by-step explanation:

wow

Olin [163]2 years ago

3 0

Answer:

Step-by-step explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 4² = 9²

x² + 16 = 81 ( subtract 16 from both sides )

x² = 65 ( take square root of both sides )

x = $\sqrt{65}$

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Question 18 (5 points)

Svetach [21]

Hfnn he didchx the same as real

6 0

3 years ago

Show work pleaasseeee<br> 1/15 + (-3/5) =

Musya8 [376]

Answer:

-8/15

Step-by-step explanation:

(1/15)-(3/3)*(3/5)= (1/15)-(9/15)=(1-9)/15=-8/15

3 0

3 years ago

50 PTS. Andrew loves candy so much that after returning from Costco with some candy, he eats 40% of the candy he just bought. Th

Helga [31]

Answer: 5%

Step-by-step explanation:

100% - 40%

= 60% or 3/5 - first day

2/5 of 3/5 = 6/25 = 24% eaten

36% left - 2nd day

2/5 of 6/25 = 14.4% eaten

= 21.6 % left - 3rd day

2/5 of 21.6 = 8.64% eaten

= 12.96 % left - 4th day

2/5 of 12.96% = 5.184 eaten

= 7.776% left - 5th day

2/5 of 7.776% = 3.1104% eaten

= 4.6656% left after the 6th day

rounded off to 5% after the 6th day

6 0

3 years ago

A particular type of mouse's weights are normally distributed, with a mean of 359 grams and a standard deviation of 33 grams. If

igor_vitrenko [27]

Answer:

Following are the responses to the given points:

Step-by-step explanation:

Given:

$\mu = 359 \ \ \ \ \ \sigma = 33\\\\$

Using formula:

$\to P(X = x) = P\left ( z < \frac{x-\mu }{\sigma } \right )$

For point a:

$\to x= 406\\\\P(X < 406 ) = P\left ( z < \frac{406-359 }{33 } \right )\\\\$

$= P\left ( z$

For point b:

$\to x= 461\\\\P(X > 461 ) = P\left ( z > \frac{461 -359 }{33 } \right )\\\\$

$= 1 - P\left ( z < 3.0909 \right )\\\\= 1 - 0.9990\\\\= 0.0001$

For point c:

$\to x= 406\ \ and \ \ 461\\\\P(406$

$= 0.9990 - 0.9222\\\\= 0.0768\\\\$

For point d:

$P(X < 406) = 0.9222 = 92.22 \%\ that \ is \ greater \ than\ 50\%$

Hence, the correct choice is "i".

For point e:

$\to P(X > z) = 0.1\\\\\to 1 - P(X < z) = 0.1\\\\\to P(\frac{x-\mu }{\sigma }) = 0.9\\\\\to \frac{x-359}{33 } = 1.28\\\\ \to x = 401.24\\\\$

5 0

3 years ago

Describe the transformation in the figure below

Keith_Richards [23]

Answer:

A) Reflection.

Step-by-step explanation:

From the figure shown, we can see that the blue triangle is flipped about the x-axis to form the red triangle.

When an object is flipped about a line, then this transformation is called reflection about that line.

Thus, we can say that reflection is taking place in the figure shown in which the x-axis is acting like a mirror. The blue triangle is the pre-image and the red triangle is the image after reflection.

The reflection about x-axis is given by:

$Pre-image(x,y)\rightarrow Image(x,-y)$

We can check the co-ordinates of the triangles and confirm the the transformation occurring

Points of pre-image triangle:

$(0,2),(4,5),(6,2)$

Points of image triangle

$(0,-2),(4,-5),(6,-2)$

Thus, the transformation is reflection.

3 0

4 years ago