Answer:
A) reflection of P across the x-axis is at (3, 4).
Step-by-step explanation:
The relevant transformations are ...
(x, y) ⇒ (x, -y) . . . . . . reflection across the x-axis
(x, y) ⇒ (-x, y) . . . . . . reflection across the y-axis
__
A) sign of y-coordinate has changed: reflection across the x-axis
B) signs of both coordinates have changed: reflection across both axes
C) sign of x-coordinate has changed: reflection across the y-axis
D) sign of y-coordinate has changed: reflection across the x-axis
The only answer choice that has a proper description is Choice A.
Here, we need to write the length of the insect in scientific notation.
The given length of the insect is 0.0052 meter
Now, to write 0.0052 meter in scientific notation we need to follow this:
Scientific notation always start with non-zero digit followed by a decimal point.
Since in our number the decimal is needed to be moved three places to the right to get the first non-zero digit.
The exponent of the 10 is 
.
Therefore, our number 0.0052 can be written as:
Hence, the require scientific notation is .
Step-by-step explanation:
Cosine Ratio is the best tool to solve this problem.
cos38°=x/8
x =8*cos38°
x = 8*0.79
x = 6.32
Answer:
C and D
Step-by-step explanation:
A box plot display consist of a five-number summary. The five-number summary includes the following five values that is depicted in the box plot display:
1. Min value: the least value or smallest value indicated at the end of the whiskers to our left.
2. Max value: the largest value in the data set indicated at the end of the whisker to our right.
3. The median: this is a measure of center indicated by the vertical line that divides the rectangular box into 2.
4. The Upper quartile (Q3): this is indicated by at the end of the rectangular box at our far right.
5. The lower quartile (Q1): this is indicated at the beginning of the rectangular box from our left.
The interquartile range is the difference between the Q3 and the Q1, which can be used as a measure of spread of a data set.
Therefore, the most appropriate measures of center and spread for the data set above, are the median and the interquartile range respectively.
The correct choices are option C and D.
Given the dimension of the length and area of the rectangle, the dimension of the breadth x is 9in.
Hence, option A is the correct answer.
This question is incomplete, the missing diagram is uploaded along this answer below.
<h3>What is the value of x?</h3>
Area of a rectangle is expressed as; A = l × b
Given that;
- Length of the rectangle l = 20in
- Breadth b = x
- Area A = 180in²
A = l × b
180in² = 20in × x
x = 180in² / 20in
x = 9in
Given the dimension of the length and area of the rectangle, the dimension of the breadth x is 9in.
Hence, option A is the correct answer.
Learn more about area of rectangle here: brainly.com/question/12019874
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