Answer:
3.75
Step-by-step explanation:
DF = 6/24 × 15 = 3.75
________________
What is the length of u and v in this 30-60-90 triangle
Answer:
option 2
Step-by-step explanation:
Using trigonometric ratio:
[tex]Cos \ 60 = \frac{adjacent } {hypotenuse} \\\\\frac{1}{2} = \frac{4}{u}\\\\1 \times u = 2 \times 4 \\\\u = 8[/tex]
Now using Pythagoras theorem we will find v
[tex]8^2 = 4^2 + v^2\\\\64 = 16 + v^2\\\\v^2 = 64 - 16 \\\\v = \sqrt{48} = \sqrt{16 \times 3} = \sqrt{4^2 \times 3 } = 4\sqrt{3}[/tex]
By using trigonometric relations, we will see that v = 4*√3 and u = 8
How to get the missing lengths?
Here we have a right triangle, we can use trigonometric relations to find the missing sides.
We can see that v is the opposite cathetus of the 60° angle, then we can use the relation:
tan(a) = (opposite cathetus)/(adjacent cathetus)
Replacing what we know, we get:
tan(60°) = v/4
4*tan(60°) = v = 4*√3
To get the value of u, we use:
cos(a) = (adjacent cathetus)/(hypotenuse).
cos(60°) = 4/u
u = 4/cos(60°) = 2*4 = 8
Then we have:
v = 4*√3
u = 8
If you want to learn more about triangles, you can read:
https://brainly.com/question/17972372
need help with these table
I'm having trouble grasping this one
Answer:
- 50
Step-by-step explanation:
Given the equation :
2x³ - z
x = - 3 ; z = - 4
Substituting the values into the equation :
2(-3)³ - (-4)
-3³ = - 27
Hence,
2(-27) - (-4)
-54 + 4
= -50
2x³ - z at x = - 3 and z = - 4 is - 50
find The derivative of:(cosx/1+sinx)^3
Answer:
[tex]-\frac{3 \cdot cos^2x}{(1+sinx)^3}[/tex]
Step-by-step explanation:
[tex]y = (\frac{cosx}{1+sinx})^3\\\\\frac{dy}{dx} = 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{dy}{dx}(\frac{cosx}{1+sinx})[/tex] [tex][ y = x^n\ \ \ => \ \ \ \frac{dy}{dx} = b \cdot x^{n-1} \ ][/tex]
[tex]= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{(1+sin x(-sinx) - cosx(cosx)}{(1+sinx)^2}\\\\[/tex] [tex][\ \frac{u}{v} = \frac{v \dcot u'- u \cdot v'}{v^2}\ ][/tex]
[tex]= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-sin^2x- cos^2x}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x- (sin^2x+ cos^2x)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-1}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1 \cdot(sin x+1)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1}{(1+sinx)}\\\\[/tex]
[tex]= -3 \cdot \frac{cos^2x}{(1+sinx)^3}[/tex]
Which value of n would make 3√n=8
Answer:
n = 64/9
Step-by-step explanation:
3√n=8
Divide each side by 3
3/3√n=8/3
sqrt(n) = 8/3
Square each side
(sqrt(n))^2 = (8/3)^2
n = 64/9
Answer:
n = 64 / 9
Step-by-step explanation:
3√n = 8
Divide both side of equation by 3
3√n / 3 = 8/3
√ n = 8 / 3
Square both side of equation
√n² = √(8/3)
n = 64/9
Find the upper 20%of the weight?
Answer:
The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.
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.
Upper 20% of weights:
The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.84 = \frac{X - \mu}{\sigma}[/tex]
[tex]X = 0.84\sigma + \mu[/tex]
The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.
Find the value of cos 28°cos 62°– sin 28°sin 62°
cos 28°cos 62°– sin 28°sin 62° = 0
Step-by-step explanation:From one of the trigonometric identities stated as follows;
cos(A+B) = cosAcosB - sinAsinB -----------------(i)
We can apply such identity to solve the given expression.
Given:
cos 28°cos 62°– sin 28°sin 62°
Comparing the given expression with the right hand side of equation (i), we see that;
A = 28°
B = 62°
∴ Substitute these values into equation (i) to have;
⇒ cos(28°+62°) = cos28°cos62° - sin28°sin62°
Solve the left hand side.
⇒ cos(90°) = cos28°cos62° - sin28°sin62°
⇒ 0 = cos28°cos62° - sin28°sin62° (since cos 90° = 0)
Therefore,
cos28°cos62° - sin28°sin62° = 0
4. Dakota earned $30 in simple interest after 5 years. The interest rate was 4%
Answer:
The final balance is $36.5.
The total compound interest is $6.5.
Step-by-step explanation:
Identify the location of the point (0, -3).
Answer:
Point p
Step-by-step explanation
The first number in your point is on the x axis, but since it's 0 you don't move anywhere.
The second number in your point is on the y axis, it's -3, so you move down on the y axis 3 times.
When the x axis(first number) is negative you move left, and if the y axis(second number is negative you move down), and vise versa.
What is the distance between -5 and 4
Answer:
9
Step-by-step explanation:
-5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4
-5 + 9 = 5
What is the image of N for a 288° counterclockwise rotation about the center of the regular pentagon?T A P E
9514 1404 393
Answer:
T
Step-by-step explanation:
The figure has 5-fold rotational symmetry, so each 72° of CCW rotation will bring point N to the next vertex in the CCW direction. Rotation of 288° will move point N 4 vertices CCW, equivalent to 1 vertex in the CW direction. Either way, that point is now occupied by point T.
N' ≅ T
Know how to rearrange formulae Question 1: Make y the subject of each of the following
(a) y + w = c
(b) y- p = m
C) m + y = s
(d) y - 2g = n
(e) 3y = c
(f) ay = w
(g) y/c =w
(h) y/a= 2c
(i) a = y + p
Someone please help me.
Answer:
y=c - w
y=m+p
y=n+2g
y=c/3
y=w/a
y=w×c
y=2c×a
y=a-p
Step-by-step explanation:
crossing the equality sign
- = +
+ = -
× = ÷
÷ = ×
hope this would help
Which is the equation of the line that is parallel to the given line and has an X -intercept of -3
Answer:
Answer:Uh oh! It looks like your question is missing some crucial information.
Step-by-step explanation:
You didn't include the"given line"
x over 3 add 5 = 5
Pls help someone
Answer:
x=0
Step-by-step explanation:
0/3 = 0
0+5=5
Let x be a binomial random variable with n = 15 and p= .5. Using the exact
binomial calculation and the normal approximation with the continuity
correction, find P(x>6).
Answer: Choice C) 0.6964; 0.6972
============================================
Work Shown:
n = 15
p = 0.5
q = 1-p = 1-0.5 = 0.5
P(k) = (n C k)*(p)^k*(q)^(n-k)
P(k) = (15 C k)*(0.5)^k*(0.5)^(15-k)
----------------
If you plug in k = 7, then we get,
P(k) = (15 C k)*(0.5)^k*(0.5)^(15-k)
P(7) = (15 C 7)*(0.5)^7*(0.5)^(15-7)
P(7) = 6435*(0.5)^7*(0.5)^8
P(7) = 0.1964
-----------------
Repeat for k = 8 all the way through k = 15. You could do this by hand, but I recommend using a spreadsheet to make things go much quicker.
Once you determine those values, add them up and you should get 0.6964 which is the binomial probability we want.
------------------
As for the normal approximation, you'll need to compute the mu and sigma to get
mu = n*p = 15*0.5 = 7.5sigma = sqrt(n*p*q) = sqrt(15*0.5*0.5) = 1.93649 which is approximate.The normal distribution will have those parameters.
Since we're using a continuity correction, we need to bump the x = 6 up to x = 6.5, since we want to be larger than 6
Let's find the z score
z = (x - mu)/sigma
z = (6.5 - 7.5)/(1.93649)
z = -0.516398
Now use a Z table or a calculator to determine that P(Z > -0.516398) = 0.6972 approximately. If you're using a TI calculator, then you'll use the normalCDF function. If you're using excel, then you would use the NormDist function (make sure to turn the cumulative flag to "true"). Alternatively, you can search out free z calculators to get the job done.
please help me it this question
Answer:
4cm ×6cm(parallelogram)
Roman numeral for 67
Answer:
LXVII
Step-by-step explanation:
The roman numeral for 67 is LXVII
LX represents 60 and VII represents 7
Which of the following correctly names a side of the triangle below?
A. ZC
B. B
С. АВ
D. AABC
Answer:
C. [tex]\frac{}{AB}[/tex]
Step-by-step explanation:
You can solve this in two ways, firstly by eliminating all the wrong answers, and secondly by just knowing that the horizontal line in [tex]_[/tex][tex]\frac{}{AB}[/tex] means that we are talking about a line.
This is how we solve this question by using the eliminating process.
(A. ∠C) is not the right answer because the ∠ sign lets us know that this answer represents an angle, not a line
(B. B) is not the right answer because it represent a point, not a line (in math we use a singular capital letter to represent points)
(D. ΔABC) is not the right answer because the Δ sign lets us know that the answer represents a triangle, not a line.
Therefore, the only option left is C. [tex]\frac{}{AB}[/tex]
How much would nick have over the span of 20 years if he put $1000 in his savings account with 10% of simple interest
Step-by-step explanation:
use the simple interest formula
Question 9
Find the volume.
Answer:
volume of the triangular pyramid=1/3×base×height
=1/3×(1/2×6×5)×10
=1/3×15×10
=50 yd³
[tex]V = \frac{1}{3} (\frac{1}{2}\times base \: area) \: \times height[/tex]
SOLUTION[tex]V = \frac{1}{3} ( \frac{1}{2}\times base \: area) \: \times height \\ V = \frac{1}{3} (\frac{1}{2} (6)(5))(10) \\ V = \frac{1}{3} (150) \\ V = 50 {yd}^{3} [/tex]
FINAL ANSWER[tex]D. \: \: V = 50 \: {yd}^{3} [/tex]
I hope it helps ┐(・_・┐)
PLS I REALLY NEED HELP
Answer:
i dont know this sorry
Step-by-step explanation:
PLS HELP ASAP ILL MARK BRAINLIEST Find the geometric probability of landing in the shaded area of the picture. The small circle has a diameter of 6 meters and the larger circle has a diameter of 54 meters. Show and explain all work.
Answer:
1/80
Step-by-step explanation:
(the area of the small circle)/(the area of the larger circle)
= (π× 3²)/(π× 27²)
(=> eliminate π)
= 3²/27² = (1/9)² = 1/81
since the shaded area is inside the larger circle,
the geometric probability =
1/(81-1) = 1/80
How many multiples of 9 are between 100,000 and 100,185?
Answer:
20
Step-by-step explanation:
After 99,999 is 100,008 So start from there
100,008 1
100,017 2
Ten 9's later...
100,107 12
Eight 9's later...
100.179
Ther are 20
which statement is true?
Answer:
The y-intercept of function A is less than the y- intercept of function B
hope it is helpful to you
At Downunder Farms, Jamie is packing kiwi fruit in shipping crates. Each tray
holds 58 kiwis, and he can put 6 trays in a crate. How many kiwis does the
crate contain when it is full?
A. 64 kiwis
B. 290 kiwis
C. 348 kiwis
D. 174 kiwis
Answer:
348 kiwis
Step-by-step explanation:
Jamie is packing Kiwie fruits into a tray
Each tray holds 58 kiwis
He can put 6 trays in a crate
Hence when the craye is full the number of kiwis it will contain can be calculated as follows
°= 58×6
= 348 kiwis
Find the y- intercept and x-intercept of the line.
4x-y=8
Answer:
x-intercept is (2,0)
y-intercept is (0,-8)
Step-by-step explanation:
to find the 'x-intercept', substitute zero for 'y' and solve:
4x - 0 = 8
4x = 8
x = 2; x-intercept is (2,0)
4(0) - y = 8
0 - y = 8
y = -8; y-intercept is (0,-8)
Write the rule for the translation shown below.
The quotient of 9/10
Answer:
0.9 is the correct answer
A jogger travelled 52km in 4 days.what is the rate he travelled per day?
52km multiply by 4(days)=208
como se obtiene el area de un polígono regular?
Answer:
Área de un polígono regular. El área o superficie de un polígono es igual al producto del perímetro por la apotema dividido por dos. El perímetro es la suma de todos los lados.
Step-by-step explanation:
Answer:
Step-by-step explanation:
El área de un polígono regular se calcula a partir de su perímetro y su apotema. Sea P el polígono regular con N lados, su área es:
Fórmula del área del polígono regular mediante su perímetro