1) complete the special right triangle
what is length of BD
what is length of BC
Answers
Answer:
[tex]BD = 4[/tex]
[tex]BC =4\sqrt 3[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find BD and BC
Solving BD
Considering angle at D, we have:
[tex]\cos(D) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(60) = \frac{BD}{8}[/tex]
Solve for BD
[tex]BD = 8 * \cos(60)[/tex]
[tex]\cos(60) = 0.5[/tex] So:
[tex]BD = 8 * 0.5[/tex]
[tex]BD = 4[/tex]
To solve for BC, we make use of Pythagoras theorem
[tex]CD^2 = BC^2 + BD^2[/tex]
This gives
[tex]8^2 = BC^2 + 4^2[/tex]
[tex]64 = BC^2 + 16[/tex]
Collect like terms
[tex]BC^2 =64-16[/tex]
[tex]BC^2 =48[/tex]
Take square roots
[tex]BC =\sqrt{48[/tex]
Expand
[tex]BC =\sqrt{16*3[/tex]
Split
[tex]BC =\sqrt{16}*\sqrt 3[/tex]
[tex]BC =4\sqrt 3[/tex]
Related Questions
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.8 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 10 samples is 6.4 ppm with a standard deviation of 1.1. Does the data support the claim at the 0.05 level
Answers
Answer:
The test statistics fall in the critical region and hence null hypothesis is to be rejected.
Step-by-step explanation:
The null hypothesis : H0 : Mean = 6.80
Alternative hypothesis: Ha: Mean is not equal to 6.80
As per the z statistics
z = (x’-mean)/(sigma/sqrt n)
Substituting the given values, we get –
z = 6.4-6.8/(1.1/sqrt 10)
z = -1.149
z test statistics is -1.149
Critical value for two tailed test at 98% confidence is .10749
The test statistics fall in the critical region and hence null hypothesis is to be rejected.
A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which equation(s) describes the total cost as a function of the hours x?
A. Y=3x+8
B. Y=2x+12
C. Y=2x for x of 4 or less / y=2x+3x for x of 5 or more
D. Y=2x for x of 4 or less / y=8x+3(x-4) for x of 5 or more
Answers
Answer:
A.
Step-by-step explanation:
2/hour
2×4 hours =8 dollars ;
Then 3x(because we dk the time taken, so replaced by x and then times 3)
Equation =8+3x
jucinta has two blue marbles 4 red marbles and five green marbles in the bag of the marbles are the same size she will select one marble from the bag without looking what is the probability that Justina will select green marble write your answer as a fraction
Answers
Answer:
2+4+5 = 11. since there are 5 green marbles the answer is 5/11
I would greatly appreciate if you could solve this 4 me. Thank you!
Answers
Answer:
Look at the image.
Step-by-step explanation:
What is the distance between (-9, -6) and (-2,-2)?
Choose 1 answer:
I NEED HELP I DONT UNDERSTAND!!
Answers
Answer:
Step-by-step explanation:
there is a formula for finding distance,
distance = sqrt [ ( x2-x1)^2 + (y2-y1)^2 ]
where point P1 = (-9.-6)
in the form of (x1,y1)
and point P2 = (-2,-2)
in the form of (x2,y2)
then
distance = sqrt [ (-2-(-9))^2 + (-2-(-6))^2 ]
distance = sqrt [ (-2+9)^2 + (-2+6)^2 ]
distance = sqrt [ [tex]7^{2}[/tex] + [tex]4^{2}[/tex] ]
distance = [tex]\sqrt{65}[/tex]
you can leave it in the form of [tex]\sqrt{65}[/tex] because that's the most accurate , but also can make a close approximation with 8.062257748
That's all the places my calculators goes out to, the numbers continue thou.
can someone help 10 points
Answers
Answer:
The volume of this rectangular prism is 72 cubic units. We multiply 6*4*3 to get 72.
which expression is equivalent to 6 (3x + 4)?
A) 9x + 4
B) 18x + 4
C) 18x + 24
D) 9x + 10
Answers
Answer:
c number is the ans
Step-by-step explanation:
multiply each term with 6
A sample of 1,000 adults showed that 31% of them are
smokers. To estimate the proportion of people in the entire population who smoke, what additional information would you need?
Select one:
A. The size of the population
B. The length of time the people smoked
C. All the information you need is contained in the problem
D. The amount of confidence you desire in your estimate
Answers
Answer:
C. All the information you need is contained in the problem.
310 people of 1000 people smoke.
Step-by-step explanation:
[tex]\frac{y}{1000}: \frac{31}{100}[/tex]
y · 100 = 31 · 1000
100y = 31000
100y ÷ 100 = 31000 ÷ 100
y = 310
I need to know this question asap
Answers
Answer:
.
Step-by-step explanation:
WILL GIVE BRAINLIST
MATH
CONVERT EACH MEASUREMENT
SHOW STEPS ALL
9 1/8 lbs to ounces
Answers
Answer:
146 Ounces.
Step-by-step explanation:
9.125 [tex](\frac{1}{8})[/tex] lbs to ounces.
Multiply the mass value by 16.
To Check Work:
Divide 146 by 16 which equals [tex]\frac{73}{8}[/tex]/ 9.125.
Divide 146 by 9.125 [tex](\frac{1}{8})[/tex] which equals 16.
A semi-circle with a diameter of 6 cm sits on top of an isosceles trapezoid. Find the area of the entire figure.
Answers
Answer:
Step-by-step explanation:
HELP NEEDED!! QUESTION BELOW
Answers
Answer:
A
Step-by-step explanation:
The values will increase because the multiplier is greater than 1 (1.05).
what is the perimeter measured in centimeters of the rectangle pictured below do not include units in your answer
Answers
Answer:
183
Step-by-step explanation:
The perimeter of the rectangle measured in centimeters is 26 cm.
What is Perimeter?Perimeter of a straight sided figures or objects is the total length of it's boundary.
Given a rectangle in the figure.
The length of the rectangle = 7 cm
Width of the rectangle = 6 cm
We have to find the perimeter of the rectangle.
Perimeter of the rectangle = 2(l + w), where l is the length and w is the width.
Perimeter = 2(7 + 6)
= 2 × 13
= 26 cm
Hence the perimeter is 26 cm.
Learn more about Perimeter here :
https://brainly.com/question/29595517
#SPJ2
Answer
2. 3/4 of Alice's salary is the same as 1/2 of Betty's salary. If Alice
earns $200 less than Betty, how much does Betty earn?
Answers
Answer:
Betty = $600
Step-by-step explanation:
3/4 of Alice's salary is the same as 1/2 of Betty's salary
(3/4)a = (1/2)b
multiply both sides by 2
(3/2)a = b
Alice earns $200 less than Betty
b - a = 200
Substitute for b
(3/2)a - a = 200
(1/2)a = 200
multiply both sides by 2
a = 400
b = (3/2)400
b = 600
(3x2+2−x3)−(−5x3+2x2+1)
Express the answer in standard form.
Enter your answer in the box.
Answers
Answer:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
ax²+bx+c
Simplify each term.
3x²+2−x³+5x³−2x²−1
Simplify by adding terms.
4x³+x²+1
Step-by-step explanation:
What is the equation of the graph
-2
y = 1x + 1
O y = 1x-2
y = 2x - 2
O y = 2x + 1
Answers
9514 1404 393
Answer:
the correct choice is marked
Step-by-step explanation:
The line has a rise of 2 for a run of 1, so a slope of 2. The line crosses the y-axis at y=-2, so the y-intercept is -2. The slope-intercept equation for the line is ...
y = mx + b . . . . . . for slope m and y-intercept b
y = 2x -2
Answer:
the answer is c y=2x-2
Step-by-step explanation:
:)
What is the range of the data set 1 2 3 4 5 6 7
Answers
Answer:
6
Step-by-step explanation:
Range = Highest number - Smallest number
From the data
Highest number = 7
Lowest number= 1
Range = 7 - 1
RAnge = 6
Hence the range of the dataset is 6
There is a population of millions of computer chips produced at a factory. The production process is so precious that it is known that the population standard deviation for their mass is 2 milligrams. We want to get a 95% confidence interval for the mass of a single microchip produced here. So we randomly sample 100 microchips. The sample average mass turns out to be 1972 milligrams. They found this by placing them all on a scale at once and finding a mass of 197.2 grams, and then dividing by 100. You don't think they would actually weigh each one individually, do you? That would be super annoying.
Required:
Find a 95% confidence interval for the mass of a microchip produced at this factory.
Answers
Answer:
The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{2}{\sqrt{100}} = 0.392[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 1972 - 0.392 = 1971.608 milligrams
The upper end of the interval is the sample mean added to M. So it is 1972 + 0.392 = 1972.392 milligrams
The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.
Harvey is often late for work. He leaves home late 60% of the time, but then drives very fast. This gives him a 50% chance of getting to work on time. When Harvey leaves home on time, he drives so slowly that he is late 70% of the time. What is the probability that Harvey left home on time if he gets to work on time
Answers
Answer:
40%
Step-by-step explanation:
Looking in her food pantry, Professor Martinez finds a package of 12 flavored water bottles. The package contains 5 strawberry flavored water bottles and 7 mango flavored water bottles, each without labeling. All the bottles look alike and have equal probability of being chosen. Three bottles are randomly selected without replacing them.
a. The probability that all (exactly three) bottles are strawberry flavored is: _______
b. The probability that at least one of the three bottles are strawberry flavored is: _________
c. The probability that exactly 2 bottles are strawberry flavored is: _________
Answers
Answer:
a) 12/24 * 11/24*10/24
b) 1 - 12/24 * 11/24*10/24
c) 12/24 * 11/24 *12/24
Step-by-step explanation:
Total number of bottles = 12 + 5+7 = 24
a. The probability that all (exactly three) bottles are strawberry flavored is: 212
12/24 * 11/24*10/24
b. The probability that at least one of the three bottles are strawberry flavored is:
1 - P (no strawberry bottle)
1 - (12/24*11/24*10/24)
c. The probability that exactly 2
12/24 * 11/24 *12/24
slope= -1/2, y-intercept = 4
Answers
Answer:
y=-1/2x+4
Step-by-step explanation:
y=mx+b
where m=slope and b=y-intercept
so
y=-1/2x+4
Does anyone understand this?
Answers
Answer: understand what
Step-by-step explanation:
Answer:
where qurstion
Step-by-step explanation:
??????????????
What is 12n+36m+60= pls answer
Answers
Answer:
you can't do that because they are different variables, so there are no like terms
Step-by-step explanation:
there is no answer for this equation
Answer:
Step-by-step explanation:
12n+36m+60=0
12n+36m=-69
12(n+3m)=-69
n+3m=-69/12
what should be added to -13/25+21/5+-21/18 to get 5?
Answers
ATQ,
= [tex] \dfrac{ - 13}{25} + \dfrac{21}{5} + \frac{ - 21}{18} + x = 5[/tex]
Take the lcm of 25,5,18 and then manipulate it accordingly.= [tex] \dfrac{ 377}{150} + x = 5[/tex]
= [tex] x = 5 - \dfrac{ 377}{150}[/tex]
= [tex] x = \dfrac{ 373}{150}[/tex]
Answer
=727/150
Step-by-step explanation:
-13/25 + 21/18 + 21/18
= -13 + 105/25 + 21/18
= 92/25 + 21/18
= 1656 + 525/450
= 2181/450 = 727/150
Have nice day
8+
3
z
=12 its z over 3 btw how do i show my work
Answers
8+z/3=12
8+4=12
12/3=4
z=12
X = mb + y
Is this written out in slope intercept form?
Answers
Answer:
no
Step-by-step explanation:
y=mx+b
hope this helps
hope this helped
Kurtosis of a normal data distribution is a ___________________ Group of answer choices Measure of data centrality Measure of data quality Measure of data shape Measure of data dispersion
Answers
Answer:
Option A, Measure of data centrality
Step-by-step explanation:
Normal distribution curve determines the skewness of the data as to what extent is is disoriented from the normal distribution curve. Also, it is the probability distribution curve that determines whether the data set is two legged, one legged or it lies under which probability curve.
Hence option A is correct
Lin and Claire each threw a rock into a stream. The black graph represents the height of a stone t seconds after it was tossed up by Lin and the purple graph represents the height of a stone t seconds after it was tossed up by Claire.
1) Whose stone hit the water second, and at what time?
2) How long did it take for Claire's rock to reach its maximum? What is the maximum height?
3) Who had the higher initial height? What was it?
Answers
Uh oh, looks like you need the graph to answer this question! If you post the graph then I can answer in numbers but for now, I'll try to explain:
1) I assume the graph looks like a dome shape, so based on that, where the line comes back down and hits the bottom line on which x value is larger will be whose stone hit the water second and what time will be what x value represents the time it hit the water.
2) look at the highest value on the purple graph and that is the maximum height (the y value of that point) and the x value of that highest point will be the time it took for the stone to reach its maximum height.
3) based on this question, the graph should start not on the 0 but at a point on the y axis, so whoever's starting y value is higher will be this answer and what that is will be the number answer to the what was it part.
Hope this helps and if you post the graph then I can do more! :)
1. Points scored by a basketball player are 12, 15, 8, 12, 15, 10, 3, 14, and 15
Calculate the:
a) mean
b) median
c) mode
d) midrange
e) Use the relative location of the mean, median, and mode calculated describe the sets as
symmetric, skewed left, or skewed right.
Answers
Answer:
mean : add all of them and divide by how much they are
mode: is what repeats it self like 15 is the most repeated.
Si se tira un dado, ¿cuál es la probabilidad de que se obtenga un divisor de 6?
Answers
Answer:
si se tirs undado you need to