Answer:
no factor of one
Step-by-step explanation:
If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink). If the scale factor is 1, the figure and the image are congruent. The word "dilate" is often heard in relation to the human eye.
b) To estimate the mean salary of professors at her university, Patricia collects data by recording the salaries of all professors included in 12 randomly selected departments.
c) Elizabeth wants to estimate the mean height of students at her school. She collects data by selecting a random group of students within her classroom.
d) To estimate the mean grade point average of students at her school, Annie collects data by recording the grade point average of every 25th student on the list of students after randomly selecting first student.
Answer:
(C) Elizabeth wants to estimate the mean height of students at her school. She collects data by selecting a random group of students within her classroom.
Step-by-step explanation:
In option C, the sample is an example of convenience sampling, It is not representative of the population of student being studied.
Convenience sampling is a type of non-probability sampling method in which the sample is taken from the part of the population easy to reach.
The sample are not chosen at random thereby undermining the ability to generalize the results from the sample to the entire population under study.
1. 4 inside angles must sum to 360:
X = 360-45-65-95 = 155
2. All the outside angles must sum
To 360:
2x + 70+ 86 + 9 = 2x + 248
2x = 360-248
2x = 112
X = 112/2 = 56
3. Sum of interior angles for 6 sides figure = 720.
X = 720 - 90-120-130-140-150
X = 90
4. Exterior angles sum to 360
4x +x + 98 + 162 = 360
5x + 260 = 360
5x = 100
X = 100/5
X = 20
5°, before they draw closer. They measure the angle of elevation a second time from
point B at some later time to be 21°. Find the distance from point A to point B.
Round your answer to the nearest tenth of a foot if necessary.
Answer:
Step-by-step explanation:
Assuming a flat earth
initial measurement
tan5 = 131 / d₁
d₁ = 131/tan5 = 1,497.3368... ft
d₂ = 131/tan21 = 341.2666674...ft
distance from A to B
1497.3368 - 341.26666 = 1,156.1 ft
Rather daring to specify to the answer to the nearest tenth of a foot when no given measurement accuracy is even close to that same precision.
This is a trigonometry problem that can be solved by using the tangent function to find the distances from the boat to the lighthouse at two different angles of elevation, and then subtracting to find the distance travelled by the boat.
This question involves the concept of trigonometry, specifically inverse trigonometric functions. We can solve it by creating two right triangles and using the trigonometric function known as tangent. Due to the nature of the problem, we will consider the lighthouse as the opposite side while the distance from the boat to the lighthouse will serve as the adjacent side.
When the boat is at point A, we can write the following equation using the tangent of 5° - tan(5°) = 131/DistanceA. Solve this equation to find DistanceA.
Next, do the same when the boat is at point B. The equation for this scenario is - tan(21°) = 131/DistanceB. Resolve this equation to find DistanceB.
The distance from point A to B (which is what the question asks for) is just the difference between DistanceA and DistanceB. Make sure to take the absolute value to avoid a negative distance, and round the result to the nearest tenth of a foot if necessary.
#SPJ11
Answer:
Step-by-step explanation:
surface area = 2πrh + 2πr²
where r = 4 km radius
h = 8 km
plugin values into the formula
surface area = 2πrh + 2πr²
= 2π (4) 8 + 2π (4)²
= 201.062 + 100.531
= 301.593 km²
x = -4
x = 4
x = 16
Answer:
The correct answer option is x = 4.
Step-by-step explanation:
We are given the following logarithmic equation and we are to determine whether which of the given options shows its extraneous solution:
We can rewrite it as:
But we know that
So,
Cancelling the log to get:
Further simplifying it to get:
x = 4
Answer:
The extraneous solution to the logarithmic equation is
Step-by-step explanation:
We have the equation:
By properties of logarithms:
So, with the equation we have:
This logarithm base is 7 and this equation is equal to 2, the number 7 passes as the base on the other side of the equation and the two as an exponent, after that we just to find x:
Now, we can find x with square root
This equation has two answers because it is a quadratic equation, so with this logic the strange solution is -4