Answers
Answer:
PV = 8
VT = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
in a 30-60-90° Δ, the ratio of sides, respectively, is 1: [tex]\sqrt{3}[/tex]: 2
if PT = 4 then PV is twice that, or 8
VT = PT·[tex]\sqrt{3}[/tex]
Related Questions
determine the 1st term of the first 21 term of an arithmetic series if the sum of the three middle term is 126 and the sum of the three last terms is 288
Answers
Answer:
- 18
Step-by-step explanation:
arithmetic sequences are in form:
a(n)=a(o)+d(n-1)
sum are in form:
s(n)=[a(0)+a(n)](n/2)
three middle terms is:
10th, 11th, 12th term
How to think: 21 = 10+1+10 --> middle 3 is 10,11,12
sum of these 3 terms:
a(10)+a(11)+a(12)
=a(o)+9d+a(0)+10d+a(0)+11d
=3a(0)+30d=126
a(0)+10d=42 ......(equation 1)
Last three terms is:
19th, 20th, 21th
a(19)+a(20)+a(21)
=a(0)+18d+a(0)+19d+a(0)+20d
=3a(0)+57d=288
a(0)+19d=96 ......(equation 2)
now you have
a(0)+10d=42 ......(equation 1)
a(0)+19d=96 ......(equation 2)
solve and gives
d=6
a(0)= -18
I need help on this part
Answers
Answer:
ang 4 = 60°
Step-by-step explanation:
ang 1 and ang 4 are Linear pair or supplementary angles.
ang 1 + ang 4 = 180
120° + ang 4 = 180° (Putting the value of ang 1)
ang 4 = 180° - 120°
ang 4 = 60°
The Wall Street Journal Corporate Perceptions Study surveys readers and asks how each rats the quality of management and the reputation of the company for over worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. Assume the sample data for respondents below:
Reputation of Company
Quality of Management Excellent Good Fair
Excellent 40 25 5
Good 35 35 10
Fair 25 10 15
A. Use level of significance and test for independence of the quality of management and the reputation of the company. Compute the value of the test statistic (to 2 decimals).
B. If there is a dependence or association between the two ratings, discuss and use the probabilities to justify your answer.
Answers
Answer:
Step-by-step explanation:
[tex]\text{The data given for the quality measurement and other criteria can be seen below:}[/tex]
Quality management Excellent Good Fair Total
Excellent 40 25 5 70
Good 35 35 10 80
Fair 25 10 15 50
Total 100 70 30 200
The null and alternative hypothesis:
[tex]\mathbf{H_o: \text{the quality management and reputation are independent} }[/tex]
[tex]\mathbf{H_a: \text{the quality management and reputation are not independent} }[/tex]
The expected value is calculated by using the formula:
[tex]E=\dfrac{row \ total \times column \ total }{table \ total}[/tex]
After using the formula to calculate the table above; we have:
The expected values of the data to be:
Quality management Excellent Good Fair Total
Excellent 35 24.5 10.5 70
Good 40 28 1.2 80
Fair 25 17.5 7.5 50
Total 100 70 30 200
Degree of freedom = ( row - 1 ) × ( column -1 )
[tex]= (3 - 1 ) \times (3 -1)[/tex]
[tex]= 2\times 2[/tex]
[tex]=4[/tex]
[tex]\text{The p-value at level of significance of 0.05 and degree of freedom of 4 = }\mathbf{0.0019}[/tex]
Decision rule: To reject the [tex]\mathbf{H_o}[/tex] if the p-value is less than the ∝
Conclusion: We reject the [tex]\mathbf{H_o}[/tex] and conclude that quality management and reputation are not independent.
(B)[tex]\text{The P-value here implies that in case that there is no dependence between the two ratings, }[/tex][tex]\text{the probability that they will seem to show at least this kind of strong dependence is 0.0019.}[/tex]
[tex]\text{Thus, the probability that they will seem to show at least this kind of strong independence is =}[/tex][tex]\mathbf{0.0019}[/tex]
A boat traveled one hundred fifty feet in 9.7 seconds. How far would the boat travel in one minute thirty seconds?
Answers
Answer:
40250
Step-by-step explanation:
Hello! May someone please help on this :)
I would probably give brainliest.
Answers
Answer:
theres 16 doughnuts
Step-by-step explanation:
Mason is working two summer jobs, making $20 per hour lifeguarding and making $10 per hour landscaping. In a given week, he can work no more than 13 total hours and must earn at least $170. If xx represents the number of hours lifeguarding and yy represents the number of hours landscaping, write and solve a system of inequalities graphically and determine one possible solution.
Answers
Answer:
[tex]x = 4\\y = 9[/tex] hours
Step-by-step explanation:
Given -
x represents the number of hours lifeguarding and y represents the number of hours landscaping
[tex]x+ y = 13[/tex] -----Eq ( 1 )
and
[tex]20 * x + 10 * y = 170[/tex] -----Eq ( 2 )
Substituting the value of [tex]x = 13-y[/tex] in equation 2, we get -
[tex]20* (13 - y) + 10 y = 170[/tex]
[tex]260 - 20 y + 10 y = 170\\10y = 90\\y = 9[/tex]
[tex]x = 13-9 = 4[/tex]
Pls help me with this problem. Also the answer has to be in terms of pi
Answers
Explanation: area = piR^2 so 10(radius)^2 = 100pi, only 1/4 of the circle is there so divide the area found (100pi) by 4 to find the one quarter of the circle.
Rodney has $450 in his bank account. He is spending $20 per week. Which of the following equations represents the amount of money, M, in Rodney's account after w weeks?
Answers
Answer: M = -20w + 450
Step-by-step explanation:
M = -20w + 450
450 is the amount in his bank account; because he is spending $20 per weeks, so it's -20w.
hi, if your looking for extra points (50+) and brainiest here is ur chance, answer this question correctly plz
Answers
Answer:
i will take company (a) because they are giving in less rate
Answer:
You would want to go with A
Step-by-step explanation:
If you do plan a it is 180 dollars a year when you spend 15 dollars per GB, B is cheaper on the other hand because it is 75 dollars a month so therefore 900 dollars a year
A is cheaper
I need help please will mark the brainliest
Answers
Answer:
im not smart
Step-by-step explanation:
i need points
if the line 2x+3y=6 is perpendicular to the line ax+4y=3, then a=?
Answers
Answer:3y=−2x+12
y=(−2x+12)/3
y=-2x/3+4
m=-2/3
perpendicular -1/m=3/2
y=mx+c
y=3/2x+12
2y=3x+12
Step-by-step explanation:
Reflect the figure across the y- axis, then state the ordered pairs of the image.
May someone please explain how I would reflect it?
Answers
R’ (2, -3)
X’ (-2, 0)
Z’ (-2, -2)
EXPLANATION:
Reflecting a figure across the y-axis basically means flipping all of the x-values of your coordinates while retaining its y-value.
In other words, flip the signs of x and keep y the exact same for each coordinate.
B (-3, 2)
=
B’ (3, 2)
3. Three model greenhouses are shown below. They are made by covering the tops and sides of a wood frame with plastic. The bottom of the green house is not covered with plastic. Of the three models, which has the greatest amount of plastic needed to make it and which has the least amount of plastic needed? 3 ft ) 5 ft 5 ft 5 ft 3111/ 8 ft 6 ft 6 it 8 ft 8 ft 6 ft 8 ft Model A 12 ft Model B 10 ft Model C
Answers
Answer:
New Materials Have Made Greenhouses Less ... In our garden, we recently had a major ... Besides the trends mentioned above, there are many ... Since seasonal rains will not reach your greenhouse plants, you need to ... Glass and clear plastic function in basically the ...
Step-by-step explanation:
A pizza dinner for $20 was marked down 20%. What was the new sale cost of the dinner?
Answers
Answer:
$16
Step-by-step explanation:
take 20 multiply it by 0.2 and you get 4 multiplied by 4 is 16 so it is 16 dollars
Please explain in words.
Answers
Answer:
No
Step-by-step explanation:
When you are adding a positive by a negative, simply subtract and take the sign of the larger number.
can somebody help me with this
Answers
Answer:
[tex]y = -x^2+3x+4[/tex]
Step-by-step explanation:
( -1, 0) , (0, 4) , (4, 0)
y = a(x − b)(x − c)
x-intercept = -1
x = -1
(x + 1) = 0
x-intercept = 4
x = 4
(x - 4) = 0
y = (x + 1)(x - 4)
4 = a(0 + 1)(0 - 4)
4 = a (1)(-4)
4 = -4a
a = -1
y = -1(x + 1)(x - 4)
[tex]y = -x^2+3x+4[/tex]
How do I answer this ? (1 + 3x)º
44°
Answers
Answer:
132x+44
Step-by-step explanation:
(1+3x)(44)
=(1+3x)(44)
=(1)(44)+(3x)(44)
=44+132x
=132x+44
Please someone explain how to solve this piecewise function!!!! Im super confused
Answers
Answer:
From top to bottom:
[tex]0, 1, 2, -8, -8[/tex]
Step-by-step explanation:
We are given the piecewise function:
[tex]g(x) = \left\{ \begin{array}{ll} 0.5x+1 & \text{if } x \leq 2 \\ -8 & \text{if } x > 2 \end{array} \right.[/tex]
Row 1:
We want to find g(-2).
Since -2 is less than (or equal to) 2, we will use the first equation. Thus:
[tex]g(-2)=0.5(-2)+1=-1+1=0[/tex]
Row 2:
Likewise, 0 is less than or equal to 2. We will continue to use the first equation:
[tex]g(0)=0.5(0)+1=1[/tex]
Row 3:
2 is not less than 2 but it is equal to 2. So we will continue to use the first equation:
[tex]g(2)=0.5(2)+1=1+1=2[/tex]
Row 4 and 5:
Both 4 and 6 are greater than 2. Thus, we will use the second equation. Therefore:
[tex]g(4)=-8\text{ and } g(6)=-8[/tex]
Subtract the fractions. Simplify if possible. 3/4 - 1/4 - 2/4 =
Answers
Answer is 0
HELP ASAP I WILL MARK BRAINLIST!!!!!
Answers
Answer:
45°
Step-by-step explanation:
Given,
x° = (90-x)° [Alternate exterior angles]
=> 90 - x = x
=> 90 = x + x
=> 90 = 2x
[tex] = > x = \frac{90}{2} [/tex]
=> x = 45°(Ans)
I need help with this question !!
Answers
Answer:
Step-by-step explanation:
Yes, A-A-A
Find the total surface area of the
following prism:
5 cm
5 cm
5 cm
5 cm
10 cm
5 cm
apothem = 3.6 cm
SA = [ ? ] cm2
Answers
Answer:
Total surface area = 340 cm²
Step-by-step explanation:
Surface area of the given prism = Area of two bases + Area of its lateral surfaces
Area of pentagonal base = [tex]\frac{1}{2}(\text{Apothem)}(\text{Perimeter})[/tex]
= [tex]\frac{1}{2}(3.6)(5\times 5)[/tex]
= 45 cm²
Area of the lateral sides of the prism = Perimeter of the pentagonal base × height
= (5×5)×10
= 250 cm²
Total surface area of the prism = 2(45) + 250
= 90 + 250
= 340 cm²
Ken predicts that the average temperature will be −5°C in December. If he predicts the temperature will rise 6°C in January and fall 3°C in February, which of the following equations can he use to find the sum of the temperatures for those months? Check all that apply.
[6 + 3] + 5 = 14
(–5) + [3 + 6] = –4
[(–5) + (–3)] + 6 = –2
5 + [(–6) + (–3)] = –4
[6 + (–5)] + (–3) = –2
[(–5) + 6 ] + (–3) = 4
Answers
Answer:
[(–5) + (–3)] + 6 = –2
[6 + (–5)] + (–3) = –2
Step-by-step explanation:
Look at the image below!
Hoped I helped :3 Sorry if wrong :( Mark brainiest if correct! Your bootiful/handsome! Have a great day luv <3
-Bee~
Answer:
C and E
Step-by-step explanation:
i got it right on edge just now
I just need the right answer with steps
Answers
y - 6 + 6 = 2x + 10 + 6
y = 2x + 16
So y = 2x + 16 is your answer
Thinking about the table...Why does this
table start at zero? Why aren't there any
negative numbers in the DOMAIN?
Answers
Answer:
Why does this table start at zero?The vertical axis on trending charts should almost always start at zero. The reason it's almost always is because you may have trending data that contains negative values or fractions. In those situations, it's generally best to keep Excel's default scaling.
Why aren't there any negative numbers in the DOMAIN?There are no domain restrictions, even though there is a variable under the radical. Since , can never be negative. The least it can be is , so there is no danger of taking the square root of a negative number.
Step-by-step explanation:
Hope it is helpful....
whoever answers this correctly gets brainliest
Answers
Answer:
Democratic is the one that says the government should play an active role. Republican is the second choice (should be limited)
Answer: For the first, (goverment should play an active role in resolving social or economic issues) would be the Democratic Party.
And the Second (Government power should be limited and not used to resolve social or economic issues) is the republican.
3/4 -5/8 in simplest form plz
Answers
4. Which line represents the function y=10(1.05)^x
10 points
25
20
15
5
Blue
Green
Red
Answers
Answer:
EX: Use three coins to represent the wolf, the goat, and the cabbage. ... The slope from (0, 0) to any point (x, y) on the line will be y_ x . 8b. b 7.5. 9a. ... 11b. x 2. 10x. 25 x. 4 x x2. 4x. 7. 7x. 28. 11c. xy 2y 6x 12 11d. x 2. 2x. 3. 2 x y ... 13c. 4 yr. 13d. 24. ___. 20. 6 __. 5 1.2. 14a. 3 x 2. 16x 5. 1. 3x x 3x2. 15x. 5. 1x.
Step-by-step explanation:
BAME question: write out the correct proportion and solve to find 90% of 65
Answers
Answer: 58.5
Step-by-step explanation:
The angle measurements in the diagram are represented by the following expressions
Answers
Answer:
∠A is equal to 73°
Step-by-step explanation:
Because the two lines that move roughly bottom/left to top/right are marked as being parallel, we can say that ∠A + ∠B = 180°
With that we can take the two equations at the top, and add them together for a sum of 180°:
6x - 35° + 3x + 53° = 180°
9x + 18° = 180°
x + 2° = 20°
x = 18°
Now that we have x, we can solve for ∠A:
∠A = 6x - 35°
∠A = 6(18°) - 35°
∠A = 108° - 35°
∠A = 73°
We can test our answer by solving for ∠B. We know that ∠A and ∠B add up to 180°, so ∠B = 180° - ∠A = (180 - 73)° = 107°. Now let's solve for be given x and the original equation, and see if we have the right numbers:
∠B = 3x + 53°
∠B = 3(18°) + 53°
∠B = 54° + 53°
∠B = 107°
Which matches up, showing us that we have the correct answer.