Answers
9514 1404 393
Answer:
4√2
Step-by-step explanation:
In a 30°-60°-90° triangle, the ratio of side lengths is ...
1 : √3 : 2
That is, the hypotenuse (c) is double the short side (2√2).
c = 4√2
Related Questions
9. Find the value of the trigonometric ratio tan C
Answers
Hi there!
[tex]\large\boxed{tanC = 40/9}[/tex]
tan = O / A, or the opposite side over the adjacent side.
From the diagram, we can see that the opposite side = 40 and the adjacent side = 9, so:
tan C = 40 / 9
Answer:
tan C = 40/9
Step-by-step explanation:
According to SOH - CAH - TOA, tan = opposite over adjacent.
In the picture, the opposite of tan C is 40 and the adjacent is 9.
So, tan C = 40/9
P.S. - Answer above is also correct.
3/5x - 1/2x= 1, please help me to solve this
Answers
Answer:
x = - 10
Step-by-step explanation:
(6x -5x) / 10 = - 1
x = - 10
To win at LOTTO in one state, one must correctly select numbers from a collection of numbers (1 through ). The order in which the selection is made does not matter. How many different selections are possible?
Answers
Answer: If order does not matter then we can use following formula to find different combinations of 6 numbers out of 46 numbers
Step-by-step explanation: Use following Combination formula
nCr = n! / r!(n-r)!
n=46
r=6
=46!/6!(46-6)!
=46!/[6!(40)!]
=(46*45*44*43*42*41*40!)/(6*5*4*3*2*1)(40!)
Cancel out 40!
=46*45*44*43*42*41/(6*5*4*3*2*1)
=6744109680/720
=9366819
The average of a group of data points is called the
Answers
Answer:
mean
Step-by-step explanation:
The mean of a data set is the sum of the values divided by the number of values. The median of a data set is the middle value when the values are written in numerical order. If a data set has an even number of values, the median is the mean of the two middle values.
PLEASE HELP!!!
Find the equation of the line with an x intercept of 4 and a y intercept of -1.5
Answers
Answer:
y = 4x - 1.5
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 4x - 1.5
Factor 64a^3 -8b^3 Explain all steps.
Answers
Answer:
[tex]8(2a- b)(4a^2+ 2ab+ b^2)[/tex]
Step-by-step explanation:
factor out the 8
then you have the sum/difference of cubes..
look that up SOAP: same opposite, always a plus
[tex]64a^3 -8b^3\\8(8a^3 -b^3)[/tex]
[tex]8(2a- b)(4a^2+ 2ab+ b^2)[/tex]
I WILL MARK AS BRAINLIES
PLEASE HELP ME AND BE CORRECT BEFORE ANSWERING
Answers
Answer:
Both are true
Step-by-step explanation:
Both are true
Express the equation 5(x-8)^2=y-12 in the form y=a(x-h)+k, then identify a,h, and k.
Answers
9514 1404 393
Answer:
y = 5(x -8)^2 +12a=5h=8k=12Step-by-step explanation:
5(x-8)^2=y-12 . . . . given
y = 5(x -8)^2 +12 . . . . add 12
Comparing to the required form, we see that ...
a = 5h = 8k = 12A lottery ticket has a grand prize of $30.1 million. The probity of winning the grand prize is .000000038
Deteman the expected value of the lottery ticket
Answers
Answer:
$30.1 million * .000000038
$1.14
did the question say how much the ticket cost?
if it was $1 then you would have to subtract $1 so the expected value would be 14 cents
Step-by-step explanation:
for any Integer 'a',a ÷ 0 is _______
give me answer
Answers
Answer:
undefined, invalid
and for a limit expression like a/x, x->0 we also say this is infinite.
Find the slope of the line (4,0) (9,11) Help plsss!!!!
Answers
Answer:
m= 11/5 (11 over 5)
Hope this helps! :)
the guys is wrong i checked
Answers
Step-by-step explanation:
the guys is wrong i checked
find the value of n . 80×π×n=1100000
Answers
Answer:
110000/8π
Step-by-step explanation:
Divide 1100000 by 80 and cancel 0. Then divide pi
The manager of a juice bottling factory is considering installing a new juice bottling machine which she hopes will reduce the amount of variation in the volumes of juice dispensed into 8-fluid-ounce bottles. Random samples of 10 bottles filled by the old machine and 9 bottles filled by the new machine yielded the following volumes of juice (in fluid ounces).
Old machine: 8.2, 8.0, 7.9, 7.9, 8.5, 7.9, 8.1,8.1, 8.2, 7.9
New machine: 8.0, 8.1, 8.0, 8.1, 7.9, 8.0, 7.9, 8.0, 8.1
Required:
Use a 0.05 significance level to test the claim that the volumes of juice filled by the old machine vary more than the volumes of juice filled by the new machine
Answers
Answer:
Reject H0 and conclude that volume filled by old machine varies more than volume filled by new machine
Step-by-step explanation:
Given the data:
Old machine: 8.2, 8.0, 7.9, 7.9, 8.5, 7.9, 8.1,8.1, 8.2, 7.9
New machine: 8.0, 8.1, 8.0, 8.1, 7.9, 8.0, 7.9, 8.0, 8.1
To test if volume filled by old machine varies more than volume filled by new machine :
Hypothesis :
H0 : s1² = s2²
H1 : s1² > s2²
Using calculator :
Sample size, n and variance of each machine is :
Old machine :
s1² = 0.37889
n = 10
New machine :
s2² = 0.006111
n = 9
Using the Ftest :
Ftest statistic = larger sample variance / smaller sample variance
Ftest statistic = 0.37889 / 0.006111
Ftest statistic = 62.001
Decision region :
Reject H0 ; If Test statistic > Critical value
The FCritical value at 0.05
DFnumerator = 10 - 1 = 9
DFdenominator = 9 - 1 = 8
Fcritical(0.05, 9, 8) = 3.388
Since 62 > 3.388 ; Reject H0 and conclude that volume filled by old machine varies more than volume filled by new machine
y = 95°, find the measure of x
Answers
9514 1404 393
Answer:
x = 100°
y = 95°
Step-by-step explanation:
It is probably easier to find y first. Opposite angles of an inscribed quadrilateral are supplementary, so ...
y = 180° -85° = 95°
The measure of an arc is double the measure of the inscribed angle subtending it. The arc subtended by angle y is ...
90° +x = 2y
x = 190° -90° = 100°
_____
Additional comment
The rule cited above regarding opposite angles of an inscribed quadrilateral comes from the theorem regarding inscribed angles. In the given diagram, the diagonal from the bottom vertex to the top one is a chord that divides the circle into two arcs. Their sum is 360°. The inscribed angle theorem tells you ...
2y +2(85°) = 360°
y + 85° = 180° . . . . . . . divide by 2; opposite angles are supplementary
Use the substitution methed to solve the system of equations. Choose the correct ordered pair.
2y+5x=13
2y+3x=5
Answers
Solve both equations for 2y :
2y + 5x = 13 ==> 2y = 13 - 5x
2y + 3x = 5 ==> 2y = 5 - 3x
Solve for x :
13 - 5x = 5 - 3x
8 = 2x
x = 4
Solve for y :
2y = 13 - 5×4
2y = -7
y = -7/2
As an ordered pair, the solution is then the point (x, y) = (4, -7/2).
Form a union for the following sets.
M = {1, 2, 4, 8)
N = (2,5,8)
Answers
Answer:
Step-by-step explanation:
When you are asked to find the union of sets you find numbers that are present in both sets.
So a number that appears in both the sets of M and N are 2 and 8.
So M U N = { 2,8} where U is the symbol for union.
enter the number that belongs in the green box
Answers
5x - 2 = 4 + 2x
3x - 2 = 4
3x = 6
x = 2
Hope this helps!
Which key correctly represents the information below? A. 11 | 2 = 12 B. 1 | 2 = 12 C. 11 | 2 = 112 D. 11 | 2 = 13
Answers
Answer:
The answer is (B) 1/2=12
14) Students at East Central High School earned $246
selling pennants. They want to make $3810 for a
club trip. What percent of their goal has been
reached? Round to the nearest tenth of a percent,
if necessary.
Answers
Answer:
6.46%
Step-by-step explanation:
246 ÷ 3810 × 100% = 6.46%
10. cos c plz help me
Answers
Answer:
cos C = 12/13
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
Cos theta = adj/ hyp
cos C = 36/39
Dividing the top and bottom by 3
cos C = 12/13
CosØ=Base/Hypotenuse
cosC=BC/ACcosC=36/39cosC=12/13If Jan can weed the garden in 2 hours and her husband can weed it in 1 hour and 30 minutes, find how long it takes them to weed the garden together.
Answers
Answer:
3 hours 30 minutes
Step-by-step explanation:
Jan :2 hours
her husband : 1 hour 30 minutes
2hr + 1 ½ hrs = 3 ½ hrs...that is 3 hours 30 minutes....?
What fraction is equivalent to 0.46464646...
A)
46∕999
B)
46∕99
C)
23∕50
D)
46∕100
Answers
Answer:
Hello,
answer is B
Step-by-step explanation:
[tex]0.\overline{46}=\dfrac{46}{99}[/tex]
The answer is a fraction with numerator is the period (46) and the denominator is a number made with 9 as longer that there are digits in the periode (here 2 digits ==> 99)
Please answer all of these
Answers
Answer:
1a 300
b 180
c 330
d 1470
e 180
f 7344
Step-by-step explanation:
?
What is the equation of a parabola whose focus is (-4, -1)
and whose directrix is
y = -5?
x²
y = + x – 1
8
o
y = -
x²
--X+1
8
y?
x =
+ у - 1
8
y2
X = -
8 Y+1
Answers
Answer:
1st option,
y = x²/8 + x - 1
Answered by GAUTHMATH
Use the given conditions to write an equation for each line in point-slope form and slope-intercept form.
Slope= 1/3, passing through the origin
Answers
Answer:
[tex](y - 0) = \frac{1}{3} (x - 0)[/tex]
[tex]y = \frac{1}{3} x[/tex]
If the graph of f(x)=x^2, how will the graph be affected if it is changed to f(x)=1/3x^2?
Answers
Answer:
The graph would be compressed vertically by a factor of 1/3.
Step-by-step explanation:
Multiplying a function by some constant is a way to stretch or compress that function. If the magnitude of the constant is greater than 1, you are vertically stretching, if the magnitude of the constant is less than one but greater than 0 you are vertically compressing your function.
The job Andrew has this summer paid 7.25 an hour and the job he had last Summer paid 6.50 an hour. how much more does Andrew earn in a 40 hour week this summer than he did in a 40 hour week last summer
Answers
Answer:
30 Dollars more
Step-by-step explanation:
This summer he earned = 7.25 X 40 = 290
Last summer he earned = 6.5 X 40 = 260
How much more he earned in 40 hours = 290-260= 30 dollars more
Answer from Gauthmath
Charlotte has to read a book for school. There are 513 pages in the book. She read 113 pages on
Saturday, she read 78 pages on Sunday, and 101 pages on Monday. How many pages does Charlotte
have left to read?
A.221 pages
B.513 pages
C.292 pages
D.400 pages
Answers
Form a polynomial whose zeros and degree are given,
Zeros: - 2, 2,7; degree: 3
Type a polynomial with integer coefficients and a leaning coefficient of 1 in the box below.
F(x)=
Answers
Answer:
if the zeros are x = -2, x = 0, and x = 1
then (x + 2), x and (x - 1) are factors of the polynomial
multiply these factors together
p(x) = x(x + 2)(x - 1)
p(x) = x(x2 + x - 2)
p(x) = x3 + x2 - 2x
this is a polynomial of degree 3 with the given roots
