Answer:
13510 ft
Step-by-step explanation:
I have attached a triangle diagram to depict this situation.
From the diagram, we see that distance between A and B is denoted by x.
Now, from trigonometric ratios in this type of triangle, let's first find y.
6400/y = tan 36
y = 6400/tan 36
y = 8808.84 ft
Now, we can find x from;
6400/(8808.84 + x) = tan 16
6400/tan 16 = 8808.84 + x
22319.452 = 8808.84 + x
x = 22319.452 - 8808.84
x ≈ 13510 ft
The distance the plane traveled from point A to point B is 13510 ft
Calculation of the distance:Here we assume the distance between A and B should be x.
Now the y value should be
[tex]6400\div y = tan 36\\\\y = 6400\div tan 36[/tex]
y = 8808.84 ft
Now, we can find x
[tex]6400\div (8808.84 + x) = tan\ 16\\\\6400\div tan\ 16 = 8808.84 + x[/tex]
22319.452 = 8808.84 + x
x = 22319.452 - 8808.84
x ≈ 13510 ft
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there are 6 glass bottles and eight plastic bottles on a rack. I f one is chosen at random, what is the probability of picking a glass bottle? Which simulation can be used to represent this situation
Answer:
6:8
Step-by-step explanation:
6 is the ratio of glass bottles and 8 is the plastic or you can put 3:4 because you divide the number b 2
U.S. women aged 20 or over have a mean HDL cholesterol levels of 55mg/dl with a standard deviation of 15 mg/dl. Assume that the distribution is Normal. What proportion of women have HDL below 45 mg/dl or less?
Answer:
0.2514 = 25.14% of women have HDL below 45 mg/dl or less.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean HDL cholesterol levels of 55mg/dl with a standard deviation of 15 mg/dl.
This means that [tex]\mu = 55, \sigma = 15[/tex]
What proportion of women have HDL below 45 mg/dl or less?
This is the p-value of Z when X = 45. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 55}{15}[/tex]
[tex]Z = -0.67[/tex]
[tex]Z = -0.67[/tex] has a p-value of 0.2514
0.2514 = 25.14% of women have HDL below 45 mg/dl or less.
Last year, nine employees of an electronics company retired. Their ages at retirement are listed below in years. Find the mean retirement age.56 65 62 53 68 58 65 52 56
Answer:
59.44
Step-by-step explanation:
Nine employees If an electronic company retired last year
The retirement ages are listed below
56, 65, 62, 53, 68, 58, 65, 52, 56
The mean retirement age can be calculated as follows
= 56+65+62+53+68+58+65+52+56/9
= 535/9
= 59.44
Hence the mean retirement age is 59.44
Additional Activities
Directions: Use a non-standard unit of the same material and
size. Which unit will give the greater number for the volume of the
container using ping-pong balls and monggo seeds? Visualize the
volume of each box, explain your answer. Write your answers on a
sheet of paper
.
2.
1.
Ping-Pong balls
Monggo seeds
Answer:Ping Pong Balls
Step-by-step explanation:
Find the slope of a line perpendicular to the line 3x – 2y = 5.
Answer:
2/3
Step-by-step explanation:
to the the slope of the perpendicular line we must first find the slope of line given in the problem. To do this we must transform this equation into the slope intercept format
The slope intercept form of a liner equation is:
Y = mx + b
Where m is slope and b is the y - intercept value.
solving the equation in the problem for y produces :
3x - 3x + 2y = -3x - 5
0 + 2y = 3x - 5
2y = - 3x - 5
2y = -3x - 5
2 2
y = - 3 x - 5
2. 2
Therefore the slope of this line is m = - 3
2
the slope of perpendicular line is the negative inverse of the slope of the line we are given,or
- 1
m
so for our problem the slope of a perpendicular line is - - 2 = 2
3. 3
AD=7, BD=3, DE=6. Find BC
Answer:
the answer to this is 10 i think sorry if it is wrong
Step-by-step explanation:
The triangles are similar and the measure of BC = 60/7 units
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ΔABC
Let the second triangle be ΔADE
Now , ΔABC and ΔADE are similar triangles
where corresponding sides of similar triangles are in the same ratio
So , AD / AB = DE / BC
On simplifying , we get
7 / 10 = 6 / BC
Multiply by BC on both sides , we get
BC ( 7/10 ) = 6
Multiply by 10 on both sides , we get
7BC = 60
Divide by 7 on both sides , we get
BC = 60/7
Hence , the measure of BC = 60/7 units
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Which pair of angles are vertical angles?
A)
B)
C)
D)
Answer:
Step-by-step explanation:
The angles opposite each other when two lines cross. They are always equal.
here,vertically opposite angles are
angle RQW and angle TQU
angle RQV ang angle SQU
angle SQR and angle UQV
angle WQV and angle SQT
Help me please if you can't don't touch it
Answer:
The correct answer is A
Step-by-step explanation:
What is the product of the polynomials below?
(4x2 - 2x - 4)(2x + 4)
A. 8x? +12x-16-16
B. Bx+12x? - 16X-8
C. 8x +12x2 - 8x-16
O D. Bx° +12x2 - 8x-8
A teacher offers 8 extra credit assignments.what is the domain of this graph
graph the line with intercept 6 and slope
[tex] - \frac{3}{2} [/tex]
Given:
The y-intercept of a line = 6
The slope of the line = [tex]-\dfrac{3}{2}[/tex]
To find:
The graph of the given line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is the slope and b is the y-intercept.
Putting [tex]m=-\dfrac{3}{2}[/tex] and [tex]b=6[/tex] in the above equation, we get
[tex]y=-\dfrac{3}{2}x+6[/tex]
At [tex]x=0[/tex],
[tex]y=-\dfrac{3}{2}(0)+6[/tex]
[tex]y=0+6[/tex]
[tex]y=6[/tex]
At [tex]x=2[/tex],
[tex]y=-\dfrac{3}{2}(2)+6[/tex]
[tex]y=-3+6[/tex]
[tex]y=3[/tex]
Plot these two points (0,6) and (2,3) on a coordinate plane and connect them by a straight line to get the graph of the required line.
The required graph is shown below.
Jill went on 8 hikes. The hikes were 6 miles, 4 miles, 2 miles, 3 miles, 7 miles, 5 miles, and 1 mile. What was the range of the lengths of Jill's hikes? :)
Answer:
range is 6
Step-by-step explanation:
The smallest number in this data set is 1 mile, the largest is 7 miles
the range is the difference between the biggest and smallest number so 7-1 = 6. The range is 6
The Coffee Counter charges $8.00 per pound for Kenyan French Roast coffee and $10.00 per pound for Sumatran coffee. How much of each type should be used to make an 18 pound blend that sells for $9.00 per pound?
The Coffee Counter should mix ___ pounds of Kenyan Roast coffee and ___ pounds of Sumatran coffee to make 18 pounds of a blend that sells for $9.00 per pound.
Answer:
x = 9
y = 9
Step-by-step explanation:
Given :
Let :
Kenyan French roast coffee = x
Cost per x = $8
Sumatran Coffee = y
Cost per y = $10
x + y = 18 - - - - (1)
8x + 10y = 9 * 18 ;
8x + 10y = 162 - - - - (2)
From (1):
x = 18 - y
Put x = 18 - y in (2)
8(18 - y) + 10y = 162
144 - 8y + 10y = 162
2y = 162 - 144
2y = 18
y = 9
x = 18 - y
x = 18 - 9
x = 9
What is the probability that Omar will get to drive the car after the first roll?
Answer:
1/6
Step-by-step explanation:
For Omar to drive, he has to get a six when a die is rolled ;
The probability that Omar will get to drive his car is :
Required outcome = (6) = 1
Total possible outcomes = (1,2,3,4,5,6)
P(rolling a 6) = required outcome / Total possible outcomes
P(rolling a 6) = 1/6
Probability of Omar driving his car is 1/6
Which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust?
Get brainiest if right!!!
10points if right!!
Answer:
the next three terms, 0.075,0.0375,0.01875 (common ratio 0.5)
the formula is 0.3*0.5^n-1
the formula for finding the nth term of a geometric sequence preset would be
a*r^n-1
a is first term
r is common ratio
Step-by-step explanation:
4x(a-b)+3(b-a) factorise
Answer:
-(a-b) (3-4x). hope this helps
A department store buys 100 shirts at a cost of $2000 and sells them at a selling price of $25 each. Find the percent markup.
Answer:
Mark up % = 25%
Step-by-step explanation:
Cost of 100 shirts = 2000
Cost of 1 shirt = 2000/100 = 20
Selling price of 1shirt = 25
[tex]\% mark \ up = \frac{selling \ price - cost \ price }{cost \ price } \times 100 = \frac{25- 20}{20}\times 100 = \frac{5}{20} \times 100 = 25 \%[/tex]
Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages 25-29 who are college educated is at an all-time high. The study showed that the percentage of employed individuals aged 25-29 with at least a bachelor's degree in 2016 was 40%. In the year 2000, this percentage was 32%, in 1985 it was 25%, and in 1964 it was only 16%.+
What is the population being studied in each of the four years?
a. college educated individuals
b. college educated individuals aged 25-29
c. individuals aged 25-29
d. employed individuals aged 25-29
e. employed individuals
Answer:
d. employed individuals aged 25-29
Step-by-step explanation:
"Population" in a research study is the comprehensive group that the experimenter or the researcher is interested in.
It is given that US Census Bureau, showed that percentage of the employed individual who are of age group 25 years to 29 years are college educated and is at all time high.
The research study focuses on the specific age group of individuals those who graduated form college or at least have a bachelor degree.
Thus the population of the research study those who studied in each of the four years are the employed individuals aged from 25-29.
4 is a common factor of 28 and 32.
O A. True
O B. False
Answer:
True
Step-by-step explanation:
Answer:
Your answer is B
Step-by-step explanation:
A 200-liter tank initially full of water develops a leak at the bottom. Given that 20% of the water leaks out in the first 5 minutes, find the amount of water left in the tank 10 minutes after the leak develops if the water drains off at a rate that is proportional to the amount of water present.
Answer:
127.53 liters left after 10 minutes
Step-by-step explanation:
Let
[tex]A \to Amount[/tex]
[tex]t \to time[/tex]
Given
[tex]A(0) = 200[/tex] --- initial
[tex]A(5) = 200 * (1 - 20\%) = 160[/tex] --- the amount left, after 5 minutes
Required
[tex]A(10)[/tex] --- amount left after 5 minutes
To do this, we make use of:
[tex]A(t) = A(0) * e^{kt}[/tex]
[tex]A(5) = 160[/tex] implies that:
[tex]160 = 200 * e^{k*5}[/tex]
Divide both sides by 200
[tex]0.80 = e^{k*5}[/tex]
Take natural logarithm of both sides
[tex]\ln(0.80) = \ln(e^{k*5})[/tex]
[tex]\ln(0.80) = \ln(e^{5k})[/tex]
[tex]\ln(0.80) = 5k\ln(e)[/tex]
So, we have:
[tex]-0.223 = 5k[/tex]
Divide by 5
[tex]k = -0.045[/tex]
So, the function is:
[tex]A(t) = A(0) * e^{kt}[/tex]
[tex]A(t) = 200 * e^{-0.045t}[/tex]
The amount after 10 minutes is:
[tex]A(10) = 200 * e^{-0.045*10}[/tex]
[tex]A(10) = 200 * e^{-0.45}[/tex]
[tex]A(10) = 127.53[/tex]
Construct a data set that has the given statistics.
n = 7
x = 12
S = 0
Answer:
The desired data-set is: {12,12,12,12,12,12,12}
Step-by-step explanation:
n = 7
Data set of 7 elements.
x = 12
Mean of 12
S = 0
Standard deviation of 0.
Desired data-set:
Since the desired standard deviation is 0, all the elements in the data-set will be the same. Since the mean is 12, all elements is 12. 7 elements.
The desired data-set is: {12,12,12,12,12,12,12}
types of circle geometry concepts
Answer:
Circle basic concepts: Chords, arcs, tangents, cyclic quadrilateral, angle subtended by a chord and secant of a circle with examples and exercise. Contents are, Definition of a circle.
The net of a solid figure is shown below:
Which calculation will give the total surface area of the solid figure? (1 point)
1) 5.6.6 square inches
2) 6.5.5 square inches
3) 6.5.5.5 square inches
4) 5.6.6.6 square inches
===========================================================
Explanation:
Each square has a side length of 5 inches, so each square has area 5*5 = 25 square inches. We have 6 such squares to give a total surface area of 6*25 = 150 square inches.
Effectively, this is the same as using the formula below
S = 6x^2
S = 6*5^2
S = 6*5*5
S = 150
x = 5 refers to the side length and S is the surface area. It might help to cut the figure from the paper, and fold it up and you should find that a 3D box will form. There are 6 faces with area of 5*5 each, hence the 6*5*5
Whats the answer please help
Answer: d
Step-by-step explanation:
If one point on a graph is (5,5) and the slope of the line is -4, write the equation of the line in slope-
intercept form.
Answer:
y = -4x + 25
Step-by-step explanation:
[tex](x_1, y_1) = (5, 5) \ ; \ slope ,\ m = -4[/tex]
Equation of line :
[tex](y - y_1) = m(x - x_1)[/tex]
[tex](y - 5) = -4(x-5)\\y - 5 = -4x + 20\\y = -4x +20 + 5\\y = -4x + 25[/tex]
Answer:
0=4x+y-5
Step-by-step explanation:
slope(m)=-4
y-intercept(c)=5
now, the equation joining the straight line satisfy the equation,
y=mx+c
or, y= -4x+5
or, 4x+y-5=0
or, 0=4x+y-5
it is the required equation.
If x = 3k + 2 and y = k - 2 is a solution of linear equation 5x - 3y = 4 , then the value of k
pls can say the answer fast
PLEASE HELP ASAP !!! WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORRECTLY
Answer:
See below.
Step-by-step explanation:
Alternate Interior Angles - 1
Alternate Exterior Angles - 2
Corresponding Angles - 4
Same-side Exterior Angles - 5
Same-side Interior Angles - 3
Answer:38292
A
Step-by-step explanation:w
jkwlw44444
Teresa received a $90 gift card for a coffee store. she used it in buying some coffee that cost her $8.21 per pound. After buying the coffee, she had $65.37 left on her card. how many pounds of coffee did she buy?
Answer:
3 Pounds of Coffee
Step-by-step explanation:
To find out how much she spent on the pounds of coffee, you would have to takeaway $65.37 away from the total of $90 which will give you $24.63, which is how much she has spent on the coffee. To find out how many pounds of coffee she bought, you would have to divide $24.63 by $8.21 giving you 3, which is how many pounds of coffee Teresa bought.
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Mr. Akika has 33 18 cent and 32 cent stamps all told. The stamps are worth $9.02. How many of each kind of stamp does he have? Mr. Akika has 18 cent stamps and 32-сent stamps Enter your answer in each of the answer boxes.
Answer:
Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.
Step-by-step explanation:
Given that Mr. Akika has 33 18 cent and 32 cent stamps all told, and the stamps are worth $ 9.02, to determine how many of each kind of stamp does he have the following calculation must be performed:
10 x 0.18 + 23 x 0.32 = 9.16
11 x 0.18 + 22 x 0.32 = 9.02
Therefore, Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.