Answer:
[tex]tan(D) = \frac{21}{20}[/tex]
Step-by-step explanation:
Step(i):-
Given in triangle DOC
Cos(D) = 20/29
now
[tex]Sec(D) = \frac{1}{Cos(D)} = \frac{1}{\frac{20}{29} } = \frac{29}{20}[/tex]
We Know that trigonometry formulas
[tex]sec^{2}(D) -tan^{2} (D) =1[/tex]
[tex]tan^{2} (D) = sec^{2} (D) -1[/tex]
= [tex](\frac{29}{20} )^{2} -1[/tex]
= [tex]\frac{841 -400}{400} = \frac{441}{400}[/tex]
[tex]tan^2(D) = \frac{441}{400}[/tex]
[tex]tan(D) = \sqrt{\frac{441}{400} } = \frac{21}{20}[/tex]
[tex]tan(D) = \frac{21}{20}[/tex]
Given f(x) = -4x + 7 and g(x) = x, choose
the expression for (fºg)(x).
Answer:
-4x^2+7x
Step-by-step explanation:
Multiply -4x+7 and x.
You get -4x^2+7x.
Find z1z2 if z1 = 3(cos37° + isin37°) and z2 = 2/3(cos53° + isin53°).
Answer:
[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]
Step-by-step explanation:
Both variable can be rewritten into polar form:
[tex]z_{1} = 3\cdot e^{i\cdot 0.205\pi}[/tex] and [tex]z_{2} = \frac{2}{3}\cdot e^{i\cdot 0.294\pi}[/tex]
The complex product is equal to:
[tex]z_{1}\cdot z_{2} = (3)\cdot \left(\frac{2}{3}) \cdot e^{i\cdot (0.205\pi+0.294\pi)}[/tex]
[tex]z_{1}\cdot z_{2} = 2 \cdot e^{i\cdot 0.499\pi}}[/tex]
The resultant expression in rectangular form is:
[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]
Answer:
The correct question is:
Find [tex]z_{1}.z_{2}[/tex] if [tex]z_{1}= 3(cos37 + isin37)[/tex] and [tex]z_{2}= \frac{2}{3} (cos53 + isin53)[/tex].
(Note: the angles mentioned in the equations above are in degrees)
The answer is [tex]z_{1}.z_{2}= 2i[/tex]
Step-by-step explanation:
[tex]z_{1}.z_{2}= 3(cos37 + isin37)* \frac{2}{3} (cos53 + isin53)[/tex]
[tex]z_{1}.z_{2}= (3cos37 + 3isin37)* (\frac{2}{3} cos53 + \frac{2}{3}isin53)[/tex]
[tex]z_{1}.z_{2}= 3cos37*\frac{2}{3} cos53 + 3cos37*\frac{2}{3}isin53+3isin37*\frac{2}{3} cos53+3isin37*\frac{2}{3}isin53[/tex]
[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex] (Because [tex]i*i=i^{2}=-1[/tex] & [tex]i=\sqrt{-1}[/tex])
[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex]
[tex]z_{1}.z_{2}= 2i[/tex]
Which best explains whether a triangle with side lengths 2 inches 5 inches in 4 inches is an acute triangle
Answer:
The Pythagorean Theorem is a helpful tool that best explains whether a triangle with side lengths 2 inches, 5 inches, and 4 inches is an acute triangle or an obtuse type of triangle. Under the Pythagorean Theorem, a certain triangle is an acute triangle if a^2 + b^2 is greater than c^2.
Step-by-step explanation:
im not sure if this helps but....
Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle; it is not an Acute angles triangle.
How are triangles discriminated based on angles?If all of three angles of a triangle are < 90° then triangle is acute.
If one of the angle is of 90° then the triangle is right angled triangle.
If one of the angle is > 90° then triangle is called obtuse triangle.
How to identify if a triangle is acute, right angled or obtuse?
Let we have:
H = biggest side of the triangle
And let we get A and B as rest of the two sides.
Then we get:
If A^2+B^2 > H^2 , then triangle is obtuse
Given:
Length of the sides of the triangle; 2 , 5 and 4inches
If a , b and c is sides of the triangle such that c is the longest side then;
1). if c² > a² + b² implies that triangle is Acute angled.
2). if c² = a² + b² implies that triangle is Right angled.
3). if c² < a² + b² implies that triangle is Obtuse angled.
We have, a = 2 in , b = 4 in and c = 5 in
So, c² = 5² = 25
a² + b² = 2² + 4² = 4 + 16 = 20
therefore; c² > a² + b²
Therefore, Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle. It is not an Acute angles triangle.
Learn more about the triangles;
https://brainly.com/question/2773823
#SPJ6
23. A popular brand of AAA batteries has an effective use time of 12.3 hours, on average. A startup company claims that their AAA batteries last longer. The startup company tested 24,000 of their new batteries and computed a mean effective use time of 12.32 hours. Although the difference is quite small (72 seconds—or just over a minute), the effect was statistically significant (P-value < 0.0001).
It is appropriate to conclude which of the following?
A) The startup company has strong evidence that their AAA batteries last longer, on average.
B) The startup company has moderate evidence that their AAA batteries last longer, on average.
C) The startup company has proved that their AAA batteries last longer, on average.
D) None of the answer choices are correct. With such a large sample size, statistically significant results may not be of any practical importance.
Answer:
Option B
Step-by-step explanation:
Although the difference is quite small (72 seconds—or just over a minute), the effect was statistically significant (P-value < 0.0001).
Since the P-value was less than 0.0001, the null hypothesis in this case can be rejected (H₀: ∪=12.3), concluding that the startup company has moderate/enough evidence that their AAA batteries last longer, on average.
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 12.3
For the alternative hypothesis,
µ > 12.3
This is a right tailed test.
The decision rule is to accept the null hypothesis if the significance level is lesser than the p value and reject the null hypothesis if the significance level is greater than the p value.
Let us assume a significance level of 0.05.
Since alpha, 0.05 > than the p 0.0001, then we would reject the null hypothesis.
The correct option would be
A) The startup company has strong evidence that their AAA batteries last longer, on average.
Factor the expression. 35g2 - 2gh - 24h2
Answer:(7g-6h)(5g+4h)
Step-by-step explanation:
35g^2-2gh-24h^2
35g^2+28gh-30gh-24h^2
7g(5g+4h)-6h(5g+4h)
(7g-6h)(5g+4h)
The manufacturer of pencils spends $0.05 to make each pencil and sells them for
0.25. The manufacturer also has fixed costs each month of $2000. Find the cost function C when x pencils are manufactured.
Answer: C(x) = 2000+ 0.05 x
Step-by-step explanation:
Hi, to answer this question we simply have to apply the next formula:
Cost (C) = fixed cost + (cost per pencil x number of pencils)
Since:
Fixed cost: $2000
Cost per pencil : $0.05
Replacing with the values given:
C(x) = 2000+ 0.05 x
Where x is the number of pencils manufactured.
Feel free to ask for more if needed or if you did not understand something.
55 POINTS IF YOU GET RIGHT THEN GOATED AND BRAINIEST!!
Answer:
17 i would say it is D
18 i belive it is B
19 it is c
20 A
Which number line correctly shows 0.8 + 0.3?
Answer:
the second answer
Step-by-step explanation:
cause 0+0.8 is 0.8 and 0.8+0.3 is 1.1
Answer:
A
Step-by-step explanation:
Write (x - 5)(x + 5)(2x - 1) in standard form.
-x2 + 2x2 - 50x + 25
2r? - x? - 50x + 25
2x - x2 - 50x
-50x - x? + 2x
Answer:
2x3 - x2 - 50x + 25
Step-by-step explanation:
So the first thing you would do is multiply (x - 5)(x + 5)
x2 + 5x - 5x - 25
then you would simplify
x2 - 25
then you would multiply it by 2x - 1
(x2 - 25)(2x - 1)
2x3 - x2 - 50x + 25
so your answer is
2x3 - x2 - 50x + 25
A coin is tossed and a fourth section spinner is spun once a tree diagram shows the possible outcomes for the two events what is the probability of flipping tails on a coin and spinning a two on the spinner
Answer:
2/6 or 1/3 I think
Step-by-step explanation:
you have a 1 out of 2 chances to land tails and 1 out of 4 chance to role a 2 on the spinner. so in total there is 6 chances for rolling and flipping the coin. and there is only 1 chance for both in the odds.
therefore I believe that its is 1/3 or 2/6. I do not know if I am right exactly but that is my thought process.
how do i factor the "common factor out of each expression?" ex:
12n^6 + 27n^2 - 18
whoever answers correct/ first ill give brainliest
Answer:
Step-by-step explanation:
A "common factor" is either a constant coefficient or a variable which shows up in every term of a given algebraic expression.
Here we start with the expression 12n^6 + 27n^2 - 18. 'n' does not show up in every term and thus could not be a "common factor" of this expression. On the other hand, 12, 27 and -18 can all be divided by 3, and so 3 is a common factor.
12n^6 + 27n^2 - 18 = 3(4n^6 + 9n^2 - 6)
1) Identify the common factor (here it's 3)
2) Factor that out of the given expression: 3(4n^6 + 9n^2 - 6)
if a punnet of strawberrier weighs 100g
how many punnets would weigh 1 kg
Answer:
10
Step-by-step explanation:
1 kg = 1000 g
1000/100=10
what is the average rate of change for the function f(x)=x^2+4 for the domain of -2 to 4
Answer:
2
Step-by-step explanation:
For a quadratic function the average rate of change on an interval is the rate of change at the midpoint of the interval. The rate of change of a function is given by its derivative.
The derivative of f(x) = x^2 is f'(x) = 2x. The midpoint of the interval is (4+(-2))/2 = 1. Then the average rate of change is ...
f'(1) = 2(1) = 2
The average rate of change of f(x) on [-2, 4] is 2.
__
Alternate solution
The average rate of change is the slope of the line between the end points of the interval:
m = (y2 -y1)/(x2 -x1)
m = (f(4) -f(-2))/(4 -(-2)) = (20 -8)/(6) = 2
The average rate of change on [-2, 4] is 2.
_____
The attached graph shows the points on the curve and a line with slope 2 between them. It also shows the various slope calculations.
If the base-ten blocks shown are to be divided into 5 equal groups, what should be done first?
Answer:
2 divided
Step-by-step explanation:
2 Points
You and your friend enter a drawing with 3 different prizes. A total of 12
people entered the drawing, and prizes are awarded randomly.
There are 1320 ways to award the prizes.
What is the probability that you win first prize and your friend wins second
prize?
O A
B.
10
1320
O O O O
C.
12
1320
D.
1320
creo que la respuesta es D
Answer:10/1320
Step-by-step explanation:
Each hemisphere of isabels globe has a volume of 60,750 pie cm^3. What is the radius of her globe
Answer:
45cm
Step-by-step explanation:
Volume of a sphere = 4/3πr³
Volume of an hemisphere = 1/2 of volume of a sphere
Volume of hemisphere = 1/2{4/3πr³}
Volume of hemisphere = 2/3πr³
Given
Volume of the hemisphere = 60,750πcm³
60,750π = 2/3πr³
π cancels out
60,750 = 2/3r³
Multiply both sides by 3
2r³ = 60,750×3
2r³=182,250
Divide both sides by 2
r³ = 91,125
Find the ∛ of 91,125 to eliminate the cube on r
r = ∛91,125
r = 45cm
Tim is paid $100 per day and $25 per hour for over time. He did over time of 3 hours for 2 days and 4 hours for 3 days in a week. How much is Tim paid at the end of the week considering he worked for 6 days in a week?
Answer:
$1125
Step-by-step explanation:
100d + 25h = $$
100(3) + 100(3) + 25(3*3) + 25(3*4) =
300 + 300 + 225 + 300 =
1125
اذا كانت س زاويه حاده و كان جاس= ٣/٥ فان ظا س=؟؟
What is the length of a cube has a volume of 0.2l6 ft^3
Answer:
0.6 ft
Step-by-step explanation:
The volume is the cube of the edge length, so the edge length is the cube root of the volume.
∛(0.216 ft³) = 0.6 ft
The edge length is 0.6 ft.
The correlation between the height and weight of children aged 6 to 9 is found to be about r = 0.8. Suppose we use the height x of a child to predict the weight y of the child. We conclude that:
a. the least-squares regression line of y on x would have a slope of 0.8. about 80% of the time, age will accurately predict weight.
b. height is generally 80% of a child’s weight.
c. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.
Answer:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
The value of r is always between [tex]-1 \leq r \leq 1[/tex]
And we have another measure related to the correlation coefficient called the R square and this value measures the % of variance explained between the two variables of interest, and for this case we have:
[tex]r^2 = 0.8^2 = 0.64[/tex]
So then the best conclusion for this case would be:
c. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.
Step-by-step explanation:
For this case we know that the correlation between the height and weight of children aged 6 to 9 is found to be about r = 0.8. And we know that we use the height x of a child to predict the weight y of the child
We need to rememeber that the correlation is a measure of dispersion of the data and is given by this formula:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
The value of r is always between [tex]-1 \leq r \leq 1[/tex]
And we have another measure related to the correlation coefficient called the R square and this value measures the % of variance explained between the two variables of interest, and for this case we have:
[tex]r^2 = 0.8^2 = 0.64[/tex]
So then the best conclusion for this case would be:
c. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.
What is the answer to this multiple choice algebra problem
Answer:
Step-by-step explanation:
C for sire thanks
In ΔQRS, the measure of ∠S=90°, RS = 3.3 feet, and QR = 9.4 feet. Find the measure of ∠R to the nearest degree.
Answer:
69
Step-by-step explanation:
which word equal rectangle parallelogram square rhombus
Answer:
Quadrilaterals or Quadrilateral
Step-by-step explanation:
Quadrilateral = rectangle, parallelogram, square, and rhombus!
Tia is planning a sailing party for her friends. The boat rental is $150 plus an
additional $15 per person. Tia has saved up $400 dollars. What is the
maximum number of people that can go sailing?
Identify the inequality to solve and the maximum number of people.
Answer:
16 people
Step-by-step explanation:
First subtract the cost of the rental from the amount of money:
$400-$150 = $250
Therefore Tia has $250 to spend for additional people. Then if each person is $15, divide the remaining amount of money by the amount of money per person:
$250/$15 = 16.67
Since you can't have 0.67 of a person she can have 16 people go with her.
This can also be modeled by this inequality:
[tex]150 + 15x \leqslant 400[/tex]
Brainliest for anyone if they get this CORRECT.
hello
it is c
hehehehe hope it helps
Answer:
The option c. (x-6)(x-1)
Step-by-step explanation:
x^2 - 7x +6
S=-7
P=6
x^2-1x-6x+6
x(x-1)-6(x-1)
(x-6)(x-1)
The slope of the line between the points (3,-1) and (5, 1) is
Answer:
y = 0x + 1
When x=0, y = 1
Step-by-step explanation:
8.73E16 in standard form
Answer:
87,300,000,000,000,000
Step-by-step explanation:
The E16 is a way to write ×10¹⁶ that is used by some computers, spreadsheets, and calculators. As with any decimal number, the exponent of 10 tells you the number of decimal places between the place with that value and the decimal point.
8.73E16 = 8.73×10¹⁶ = 87.3×10¹⁵ = 87.3 × 1,000,000,000,000,000
= 87,300,000,000,000,000
_____
Some places, the "standard form" is 8.73×10¹⁶.
Question
A coin has a radius of 10 mm. How long will it take the coin to roll through the given angle measure at the
given angular velocity? How far will it travel in that time? Round to the nearest tenth.
360°;8 rev/sec
The coin will take
sec to roll 360° and travels approximately
mm.
Answer:
Time taken is 0.897 sec and distance traveled is 56.36 mm
Step-by-step explanation:
It is given radius of the coin r = 10 mm
Angle measure [tex]\theta =360^{\circ}[/tex]
In radian it will be equal to
[tex]\theta =360^{\circ}\times \frac{\pi }{180}[/tex]
[tex]=2\pi =6.28radian[/tex]
Angular velocity = 78 rev/sec
It is known that [tex]\theta =\alpha t[/tex]
Therefore [tex]6.28=7\times t[/tex]
t = 0.897 sec
Now distance traveled will be equal to
[tex]d=2\pi r\times t[/tex]
[tex]=20\times 3.14\times 0.897[/tex]
[tex]=56.36mm[/tex]
Therefore time taken is 0.897 sec and distance traveled is 56.36 mm
Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in popularity. All these activities require the participant to wear a helmet that is certified by the Snell Memorial Foundation, a not-for-profit organization dedicated to research, education, testing, and development of helmet safety standards. Snell "SA" (Sports Application)-rated professional helmets are designed for auto racing and provide extreme impact resistance and high fire protection. One of the key factors in selecting a helmet is weight, since lower weight helmets tend to place less stress on the neck. The following data show the weight and price for 18 SA helmets.
W p
64 252
64 283
64 190
64 197
58 291
47 702
49 907
59 341
66 202
58 305
58 477
52 477
63 379
62 377
54 563
63 255
63 286
a. Develop a scatter diagram with weight as the independent variable.
b. Does there appear to be any relationship between these two variables?
There appears to be a - Select your answer -negativepositiveItem 2 linear relationship between the two variables. The heavier helmets tend to be less expensive.
c. Develop the estimated regression equation that could be used to predict the price given the weight.
The regression equation is (to 1 decimal and enter negative values as negative numbers). If your answer is zero enter "0".
Answer:
Step-by-step explanation:
Hello!
Given the variables
X₁: Weight of a safety helmet for racers
X₂: Price of a safety helmet for racers
Note, there is n= 17 observed values for each variable so for all calculations I'll use this number and disregard the 18 mentioned in the text.
a) Scatterplot in attachment.
b) If you look at the diagram it seems that there is a negative linear regression between the price and the weight of the helmets, meaning, the higher the helmet weights, the less it costs.
c) The estimated regression equation is ^Yi= a + bXi
n= 17; ∑Y= 6466; ∑Y²= 3063392; ∑X= 1008; ∑X²= 60294; ∑XY= 367536
Y[bar]= 380.35; X[bar]= 59.29
[tex]b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{367536-\frac{1008*6466}{17} }{60294-\frac{(1008)^2}{17} } = -30.18[/tex]
[tex]a= Y[bar]- bX[bar]= 380.35-(-30.18)*59.29= 2169.77[/tex]
The estimated regression equation for the price of the helmets as a function of their weight is:
^Yi= 2169.77 -30.18Xi
I hope it helps!
During Ashland High School basketball games, the snack bar sells both cheese and pepperoni pizza slices. Last night, the snack bar sold 143 slices of pizza. They sold 10 times as many pepperoni slices as cheese slices.
How many slices of cheese pizza did the snack bar sell last night?
slices of cheese pizza
Answer:
13 slices of cheese pizza
Step-by-step explanation:
Consider grouping the slices so there are 10 pepperoni and 1 cheese in each group of 11. Then 143 slices represents 143/11 = 13 groups. Since there is 1 cheese slice in each group, ...
13 slices of cheese pizza were sold
