Answer:
[tex]24[/tex]
Step-by-step explanation:
The area of a triangle can be given as [tex]\frac{1}{2}ab\sin C[/tex], where [tex]a[/tex] and [tex]b[/tex] are two sides of a triangle and [tex]C[/tex] is the angle between them.
Substituting [tex]a=6[/tex], [tex]b=5[/tex], and [tex]\sin C=4/5[/tex]:
[tex]A=5\cdot 6\cdot \frac{4}{5}=30\cdot \frac{4}{5}=\boxed{24}[/tex]
While visiting the Albert Michelson exhibit at Clark University, you notice that a chandelier (which looks remarkably like a simple pendulum) swings back and forth in the breeze once every
T = 6.2 seconds.Randomized VariablesT = 6.2 seconds(a) Calculate the frequency of oscillation (in Hertz) of the chandelier.(b) Calculate the angular frequency ω of the chandelier in radians/second.
(c) Determine the length L in meters of the chandelier. sig.gif?
(d) That evening, while hanging out in J.J. Thompson’s House O’ Blues, you notice that (coincidentally) there is a chandelier identical in every way to the one at the Michelson exhibit except this one swings back and forth 0.11 seconds slower, so the period is T + 0.11 seconds. Determine the acceleration due to gravity in m/s2 at the club.
Answer:
a) [tex]F=0.16Hz[/tex]
b) [tex]\omega=1rad/s[/tex]
c) [tex]L=9.54m[/tex]
d) [tex]g=9.46m/s^2[/tex]
Step-by-step explanation:
From the question we are told that:
Time [tex]T =6.2[/tex]
a)
Generally the equation for Frequency F is mathematically given by:
[tex]F=\frac{1}{T}[/tex]
[tex]F=\frac{1}{6.2}[/tex]
[tex]F=0.16Hz[/tex]
b)
Generally the equation for Frequency F is mathematically given by:
[tex]\omega=2\pi f[/tex]
[tex]\omega=2*314* 0.16[/tex]
[tex]\omega=1rad/s[/tex]
c)
Generally the equation for Length of Chandelier L is mathematically given by:
Since
[tex]T=2*3.142\sqrt{\frac{L}{g}}[/tex]
Therefore
[tex]L=\frac{gT^2}{4 \pi^2}[/tex]
[tex]L=\frac{9.8*(6.2)^2}{4 \pi^2}[/tex]
[tex]L=9.54m[/tex]
d)
Since
Michelson exhibit except this one swings back and forth 0.11 seconds slower
Therefore
[tex]T'=T+0.11[/tex]
[tex]T'=6.31[/tex]
Generally the equation for acceleration due to gravity g is mathematically given by:
[tex]g = \frac{4\pi ^2L}{( T')}^2[/tex]
[tex]g = \frac{4\pi ^2L\*9.54}{( 6.31 s )}^2[/tex]
[tex]g=9.46m/s^2[/tex]
Can someone helllllp? 20 points
Step-by-step explanation: 6 4 17 26
1) BC = 10 twice DC
2) x = 174 360 - 46 - 66 - 74 = x
3) x = 125 360 - 47 - 98 - 90 = x
I'm not sure if its A.
Answer:
C T= S, U = R
Step-by-step explanation:
Congruent angles means they have the same measurement
R = U
S= T
A line intersects the points (-22, -14) and (-18, -12). What is the slope-intercept equation for this line? Y= ?/?x + [?]
Answer:
m = ½
y = ½x - 3
Step-by-step explanation:
m = (-12 + 14)/(‐18 + 22)
m = ½
y + 14 = ½(x + 22)
y = ½x + 11 - 14
y = ½x - 3
Determine the value of y, if x is -7 y=
∣x∣-5
Answer:
y = 2
Step-by-step explanation:
y = |x| - 5
|?| means an absolute value of a number
in this case x = -7 so the absolute value for -7 would be 7
y = 7 - 5
y = 2
Which of the following equations is of a parabola with a vertex at (4, 0)? y = ( x + 4) 2 y = x2 + 4 y = ( x - 4) 2 y = x2 - 4
Answer:
16 ×6=6 7+6 5 y = 2 + 4 y( 4. 8)y =14
In another right angle triangle the hypotenuse is 53, and the one of the side lengths is 28. Please find the missing side length.
Answer:
Adjacent, b = 45 units
Step-by-step explanation:
Let the length of sides of the triangle be;
Opposite side = aAdjacent side = bHypotenuse side = cGiven the following data;
Hypotenuse, c = 53 units
Opposite, a = 28 units
To find the missing side (adjacent), we would have to apply Pythagorean' theorem.
From Pythagorean theorem;
c² = a² + b²
Substituting into the formula, we have;
53² = 28² + b²
2809 = 784 + b²
Rearranging the equation (collecting like terms), we have;
b² = 2809 - 784
b² = 2025
Taking the square root of both sides, we have;
b = √2025
Adjacent, b = 45 units
f(x) = -3x-3 g(x) =2x^3+2
Find f(6) and g(-3)
usa pothomath (no me acuerdo como se escribe)
a rectangular container of length 40cm and width 36cm was filled with 57600cm of water. find the depth of the water in the container.
Answer:
40 cm
Step-by-step explanation:
57600 is the volume here
Because "was filled with 57600cm of water."
- NOTE : Volume can Never change unless There is a Subtracted amount of water That's Removed36 x 40 x n = 57600
n = 40
Cook-Easy blender has a mean time before failure of 41 months with a standard deviation of 4 months, and the failure times are normally distributed. What should be the warranty period, in months, so that the manufacturer will not have more than 8% of the blenders returned
Answer:
The warranty period should be of 35 months.
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.
Cook-Easy blender has a mean time before failure of 41 months with a standard deviation of 4 months
This means that [tex]\mu = 41, \sigma = 4[/tex]
What should be the warranty period, in months, so that the manufacturer will not have more than 8% of the blenders returned?
The warranty period should be the 8th percentile, which is X when Z has a p-value of 0.08, so X when Z = -1.405.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.405 = \frac{X - 41}{4}[/tex]
[tex]X - 41 = -1.405*4[/tex]
[tex]X = 35.4[/tex]
Rounding to the nearest integer, 35.
The warranty period should be of 35 months.
12th grade stat and prob !!!!
Answer:
The 1st one .
Step-by-step explanation:
If 3 out of 10 mammalian cell cultures exposed to ultraviolet (UV) radiation developed chromosomal abnormalities while 9 out of 10 mammalian cell cultures developed chromosomal abnormalities when exposed to UV radiation plus a common NSAID (nonsteroidal anti-inflammatory drug).
a. What is the type of study design?
b. Which parameter (s) can be determined? Calculate it.
c. Explain the results.
Answer:
a) Observational Study
b) Risk in observational study
RR = 9/10/3/10 = 3.0
c) Relative risk when exposed to a common NSAID is 3 out of 10 people
Step-by-step explanation:
A) This is observational study
b) The parameter determined here is the risk in observational study
RR = 9/10/3/10 = 3.0
c) Relative risk of mammalian cell to develop chromosomal abnormalities when exposed to a common NSAID is 3 out of 10 people
Need some help not very good at fractions so i need some help
Answer:
3 and 3/4 miles per hour
Step-by-step explanation:
1/5 and 3/4 cross multiply and = 15/4
simplified to 3 and 3/4
A pyramid with a volume of 36 cm^3 has a base with a length of 4 cm and a width of 3cm. What is the volume of h?
Answer:
9 = h
Step-by-step explanation:
The formula of finding the volume of a pyramid is:
V = l * w(h / 3)
We know that Volume is 36, base or Length is 4 and the Width is 3, therefore;
36 = 4 * 3 (h/3)
36 = 12 * h/3
36/12 = h/3
3 = h/3
3(3) = h
9 = h
Therefore the height or h of the pyramid is 9cm
Hope this helps!
What are the coordinates for the angle π/4 on tge unit circle
Answer: Both x and y are [tex]\frac{\sqrt{2}}{2}[/tex] which is the same as [tex]\frac{1}{\sqrt{2}}[/tex]
In other words, the point [tex]\left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right)[/tex] is on the unit circle for the angle pi/4 radians. This point is equivalent to [tex]\left( \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)[/tex]
==============================================
Explanation:
The angle pi/4 radians is equivalent to 45 degrees. Draw out a 45-45-90 triangle with hypotenuse 1, and you'll find the congruent legs are each [tex]\frac{1}{\sqrt{2}}[/tex] units long (apply the pythagorean theorem). If you apply the sine and cosine ratios, you'll get the answer shown above.
Recall that
x = cos(theta)y = sin(theta)and also
cos = adjacent/hypotenusesin = opposite/hypotenuseThe pythagorean theorem is a^2+b^2 = c^2.
multiply (3c+2p)(3c-2p) what is the answer?
9514 1404 393
Answer:
9c² -4p²
Step-by-step explanation:
The product of a sum and difference of the same two terms is the difference of their squares:
(3c +2p)(3c -2p) = 3c(3c -2p) +2p(3c -2p)
= (3c)² -6cp +6cp -(2p)²
= (3c)² -(2p)² = 9c² -4p²
Marvin's Tree Service purchased several spruce tree saplings.
The heights of the saplings are shown in the table. Which line plot represents the data correctly?
A data set titled
A.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 5 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
B.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 3 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
C.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 4 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
D.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one fourth has 1 dot. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 4 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
Answer:
B
Step-by-step explanation:
Terry Sheehan owns property assessed at $390,000 and pays a property tax rate of 1.69 per hundred dollars of assessed value. He charges $690 per month rent to cover his
property tax bill. How much more rent does he collect each year above the annual property tax bill?
$2,090
$1.769
$1,854
$1,689
None of these choices are correct.
Answer:
$1689
Step-by-step explanation:
Excess of rent amount over annual property tax bill = annual rent - annual property tax
annual property tax = [(assessed property value / 100) x 1.69]
( $390,000 / 100) x 1.69 = $6591
Annual rent = $690 x 12 = $8280
$8280 - $6591 = $1689
What is the area of the unshaded portion of this figure?
Answer:
Step-by-step explanation:
it is d) 162
Answer:
The answer is d 162cm^2
Step-by-step explanation:
Hope this helps :)
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answer:
at least 77 boxes
Step-by-step explanation:
77 boxes x 13 girls will give you a total of 1,001 boxes of cookies sold.
Which of the following are mathematical sentences? Check all that apply.
MULTIPLE CHOICE
A. 4 - d = 8
B. 4 - v
C. 3 + 2 = 5
D. 6
E. 5g
F. 1 < 2
Answer:
option A, C, D and F are mathematical sentences.
Find the intercepts and use them to graph the equation. y=x-4
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]y = x -4[/tex]
The intercepts
For y intercept, we have: [tex]x =0[/tex]
[tex]y = x -4[/tex]
[tex]y = 0 - 4[/tex]
[tex]y = - 4[/tex]
For y intercept; we have: [tex]y = 0[/tex]
[tex]y = x -4[/tex]
[tex]0 = x - 4[/tex]
[tex]x = 4[/tex]
So, the intercepts are: (0,-4) and (4,0)
See attachment for graph
help please. thank you
Answer:
y = -2/3 x +2
Step-by-step explanation:
2x+3y = 12
First find the slope by putting it in slope intercept form y= mx+b where m is the slope and b is the y intercept
Subtract 2x from each side
3y = -2x+12
Divide by 3
3y/3 = -2/3x +12/-3
y = -2/3x -4
The slope is -2/3
Parallel lines have the same slope
The only line with the same slope is y = -2/3 x +2
The only line
We need a butterfly garden with a perimeter of 16 feet and an area of 16 square feet.
Emily has a road map with a key that shows an inch on the map equals 6 miles of actual distance. She will drive on two roads to get to the beach. One road is 5 inches long on the map. The other road is 4 inches long.
Answer:
if you are trying to find the toatal distance it would be 54 miles
Step-by-step explanation:
solve it plssssssssssssss
Answer:
52
length = 12+2=14 feet
P = 2l+2w = (2 x 14) + (2 x 12) = 52
Step-by-step explanation:
Hope that helps! Have a wonderful day :)
Using the net below, find the surface area
of the pyramid.
7in.
4 in.
4 in.
Surface Area
[?] in.2
Enter
Answer:
is it 72
Step-by-step explanation:
Complete the two-way frequency table below, which shows the relationship between students who enroll in art class and in music class in a particular high school. From a sample of 60 students it is found that 23 are in art class, 34 are in music class, and 11 are enrolled in both. How many students are enrolled in either art class or music class?
Art Not in Art Total
Music 11 34
Not in Music
Total 23 60
35
14
11
46
Answer:
11
Step-by-step explanation:
hurry please i don’t have much time
Answer:
The answer would be a) 4-2g
Step-by-step explanation:
Multiplying by one half is like dividing by 2!
8/2 = 4
and
4/2 = 2
It can't be b because you can't add 4g+2
It can't be c because you can't completely remove the 8/4
It can't be d because you didn't actually distribute
A carpenter is designing rectangular picture frames to sell at a local craft fair. The frames will be made of wood with a uniform width around the picture, and each frame will have an opening for a 5-inch by 7-inch picture.