sinx=p/h -----> some people have
cosx=b/h ----> curly brown hair
tanx=p/b -----> through proper brushing
easy way to remember it
we need cos c for this
h= 26 which is always the longest side of the triangle
b= 10
p=24
these both can be switched depending on which angle the question is talking about in this case its angle C so 10 is the base, if it was angle a 24 would have been the base
\(cosC=\frac{10}{26} \\\)
\(\bold{Heya...}\)
\(\sf{6 \: - \: (1 \: x \: 4) \: - \: 2}\)
Explain into your own words.
Thanks~
Answer:
0
Explanation:
Given expression:
\(\sf 6 - (1 \times 4) -2\)
Use BODMAS method:
brackets, order, division, multiplication, addition, subtraction
First simplify variables inside brackets
\(\sf 6 - (4) -2\)
Then simply use subtract integers
\(\sf 0\)
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
Let's get it done using Bodmas Rule ~
\(\qquad \sf \dashrightarrow \: 6 - (1 \times 4) - 2\)
\(\qquad \sf \dashrightarrow \: 6 - (4) - 2\)
\(\qquad \sf \dashrightarrow \: 6 - ( 4 + 2)\)
\(\qquad \sf \dashrightarrow \: 6 - 6\)
\(\qquad \sf \dashrightarrow \: 0\)
We will get the end result 0, on simplification ~
The answer is 9, 18, 27, 36, 45. What is the question
Answer:
It appears the question would be, "what are multiples of 9"
Step-by-step explanation:
What is the greatest common factor of 18 and 60? * A.12 B. 3 C.6 D.18
Answer:6
18 as a product of its prime factors is 2*3*3 while 60 is 2*2*3*5 therefore considering common factors between both numbers we can see that there's one pair of two visible in both products and one pair of three we multiply both of these common values to get the final gcf which is 3*2=6
Answer of question 3 pls
The highest point for the quadratic function for the height of the object, h(t) = -16·t² + 224·t + 816, indicates that the interval over which the height of the object is increasing is; (-∞, 7]
What is the shape of the graph of a quadratic function?The shape of the graph of a quadratic function is a parabola.
The function for the height of the object in question 3 is; h(t) = -16·t² + 224·t + 816
Where;
t = The time in seconds
The height of the object is increasing in the interval to the left of the highest point, which can be found as follows;
The x-coordinate of the highest point of the quadratic function, f(x) = a·x² + b·x + c is; x = -b/(2·a)
Therefore, the x-coordinates of the highest point of the object is; -224/(2 × (-16)) = 7
Therefore, the height of the object is increasing in the interval; -∞ < t ≤ 7
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Assume that a coin is tossed twice. The coin may not be fair. The sample space consists of the outcomes (HH, HT, TH, TT). Outcome HH HT TH TT Probability 0.40 0.92 0.29 0.55 Is the given a probability model?
Assuming that an unfair coin is tossed with outcomes of HH, HT, TH, and TT, and the probability is 0.40, 0.92, 0.29, and 0.55, then the given probabilities do not form a valid probability model for the sample space of two coin tosses.
The given probabilities do not form a valid probability model for the sample space of two coin tosses since a valid probability model must satisfy the following conditions:
Non-negativity: The probability of each outcome must be non-negative, i.e., each probability must be greater than or equal to 0.Normalization: The sum of the probabilities of all outcomes in the sample space must equal 1.To calculate the sum of the probabilities, we simply add up all of the given probabilities:
0.40 + 0.92 + 0.29 + 0.55 = 2.16
In this case, the sum of the probabilities is 2.16, which is greater than 1. Hence, the given probabilities do not form a valid probability model for the sample space of two coin tosses.
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Avery wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 32% and the other bank is offering a rate of 3%
compounded annually. If Avery decides to deposit $7,000 for 5 years, which bank would be the better deal?
Answer:
If Avery decides to deposit $7,000 for 5 years, the bank would be the better deal would be bank is offering a rate of 3%
compounded annually
Step-by-step explanation:
In order to calculate which bank would be the better deal If Avery decides to deposit $7,000 for 5 years, we would have to make the following calculation:
simple interest rate of 32%.
Therefore, I= P*r*t
=$7,000*32%*5
=$11,200.
compound interest rate of 3%
Therefore, FV=PV(1+r)∧n
FV=$7,000(1+0.03)∧5
FV=$8,114.
If Avery decides to deposit $7,000 for 5 years, the bank would be the better deal would be bank is offering a rate of 3%
compounded annually
A company determined that the marginal cost, Upper C prime (x )of producing the xth unit of a product is given by Upper C prime (x )equalsx Superscript 4minus2x. Find the total cost function C, assuming that C(x) is in dollars and that fixed costs are $6000.
Answer:
C(x) = 0.2x^5 - x^2 + 6000
Step-by-step explanation:
Given in the question are restated as follows:
Marginal cos = C'(x) = x^4 - 2x ...................... (1)
Note that marginal cost (C'(x)) refers to the change in the total cost (C(x)) as a result of one more unit increase in the quantity produced. That is, MC refers to the additional cost incurred in order to produce one more unit of a good.
Therefore, TC can be obtained by integrating equation (1) as follows:
C(x) = ∫C'(x) = ∫[x^4 - 2x]dx
C(x) = 1/5x^5 - 2/2x^2 + F ................................ (2)
Where F is the fixed cost. Since the fixed cost is given as $6,000 in the question, we substitute it for F into equation (2) and solve as follows:
C(x) = 0.2x^5 - x^2 + 6000 ......................... (3)
Equation (3) is the total cost function C.
What is the slope of the line that passes through the points (-3, -3) and
(-18, -23)? Write your answer in simplest form.
Answer:
work is shown and pictured
i cannot figure this out for the life of me. any help?
Find f(3) for the
piece-wise function.
f(x) =
x+1
X
if x > 0
if x ≤ 0
f(3) = [?]
Answer:
f(3) = 3 + 1 = 4
Step-by-step explanation:
Since 3 > 0, we need to focus on the part of the function where x > 0. So:
f(3) = 3 + 1 = 4.
Any help please thank you I appreciate
Answer:
A)
Step-by-step explanation:
from 0 to 5, x was moved right 5 units on the first is + 5
then, -1 to -5. it went down 4 units so -4
Ezra works two summer jobs to save for a laptop that costs at least $1100 he charges $15/hr to mow lawns and $10 an hour to walk dogs. Recall the inequality that represents this situation: 15x + 10y >_ 110
is (60,20) a solution? How do you know? What does this power represent?
Answer:
The inequality that represents this situation is 15x + 10y ≥ 1100, since Ezra needs to earn at least $1100 to buy the laptop.
To check if (60, 20) is a solution to this inequality, we need to substitute x = 60 and y = 20 into the inequality and see if it is true:
15(60) + 10(20) ≥ 1100
900 + 200 ≥ 1100
1100 ≥ 1100
Since 1100 ≥ 1100 is true, this means that (60, 20) is a solution to the inequality. This means that if Ezra works 60 hours mowing lawns and 20 hours walking dogs, he will earn enough money to buy the laptop.
The point (60, 20) represents the combination of hours worked for mowing lawns (x) and walking dogs (y) that will result in Ezra earning enough money to buy the laptop. The x and y values are the inputs or variables, while the inequality 15x + 10y ≥ 1100 is the constraint that must be satisfied. The solution (60, 20) is the output or result of the system of inequalities, and represents the combination of hours worked that will satisfy the constraint.
If an item is marked 15% off to a sale price of $12.75 ,What is the price of the item before the discount
Answer:
$85
Step-by-step explanation:
Divide 15% by $12.75
Change 15% into a decimal by multiplying it by 100
$12.75/0.15= $85
Find the area of the shape
The area of the given figure is 27.5 square centimeter which has a rectangle and triangles
The given figure has a rectangle and triangles
The area of rectangle is length times width
Area of rectangle =5×4
=20 square centimeter
Area of triangle =1/2×base×height
=1/2×2.5×3
=7.5/2
=3.75 square centimeter
As there are two triangle = 2(3.75)
=7.5 square centimeter
Total area = 7.5+ 20
=27.5 square centimeter
Hence, the area of the given figure is 27.5 square centimeter
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Which rectangles below are similar explain why?
Answer:
rectangles 1 and 2 are similar
Step-by-step explanation:
Geometric figures are similar if corresponding sides are proportional.
__
We can form the ratios of (long side)/(short side) to see which rectangles are similar:
1: long side = 6, short side = 4. (long side)/(short side) = 6/4 = 3/2
2: long side = 9, short side = 6. (long side)/(short side) = 9/6 = 3/2
3: long side = 8, short side = 5. (long side)/(short side) = 8/5
Only rectangles 1 and 2 have corresponding sides in the same ratio.
Rectangles 1 and 2 are similar.
z^3 - z^2 + z for z = -10
Answer:
\( - 1110\)
Step-by-step explanation:
STEP1:
1.1 10 = 2•5
(10)2 = (2•5)2 = 22 • 52
Equation at the end of step1:
((0 - (103)) - (22•52)) - 10
STEP2:
2.1 10 = 2•5
(10)3 = (2•5)3 = 23 • 53
Equation at the end of step2:
((0 - (23•53)) - (22•52)) - 10
STEP3:
Final result :
-1110
Write the ratio as a fraction in the simplest form.
The ratio of 96 cent to 20 cents is
The ratio of the fraction in the simplest form is 24 /5.
What are fractions?
Fractions are non integers. They are made up of and denominators. An example of a fraction is 2/3. 2 is the numerator and 3 is the denominator.
In order to express in the simplest form, divide both the numerator and denominator by similar factors.
96 : 20 = 96/20 = 24/5
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How do you solve this??
Answer:
look it up in internet and find th right answers
Answer:
g(x)=3|x| is the first box
f(x)=1/3|x| is the second box
Step-by-step explanation:
you can solve these type of questions by looking at the slope which is in front of the x.
since 1/3 is smaller than 3 it's going to have lower slope resulting in 3 to incline faster
Can someone help me out with this? 6 balls numbered from 1 to 6 are placed in a Jar. If 1 ball is selected at random, find the probability that it is number 1 in decimal form,rounded to two decimal places.
The probability that a ball selected at random from the jar is number 1, rounded to two decimal places, is 0.17.
To find the probability of selecting ball number 1 from a jar containing 6 balls numbered from 1 to 6, we need to determine the number of favorable outcomes (selecting ball number 1) and the total number of possible outcomes.
The total number of possible outcomes is 6 since there are 6 balls in the jar.
The number of favorable outcomes is 1 since we are interested in selecting ball number 1.
Therefore, the probability of selecting ball number 1 is given by:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 1 / 6
To express this probability in decimal form, we divide 1 by 6:
Probability ≈ 0.1666667
Rounded to two decimal places, the probability of selecting ball number 1 is approximately 0.17.
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going to send you pictures
Answer: We have to find the probablity that a registered voter votted in the election
\(\begin{gathered} \text{Voters = 3072757} \\ \text{Not-Voted = 3481030 } \\ \text{Total registered=3,072,757+3,481,030=}6,553,787 \end{gathered}\)Therefore, the probability that a registered voter voted is:
\(P_r=\frac{3072757}{6553787}=46.56\text{ percent}\)Likewise, the probablity that a registered voter did not vote is:
\(53.11\text{ percent }\)
A sample of 64 is taken from a population, with the mean of the sample being
67 and the standard deviation of the sample being 8. What is the 95%
confidence interval for the mean of the population?
Answer:
65.04<x<68.96
Step-by-step explanation:
The confidence interval formula is expressed as;
CI = x ± z*s/√n
x is the mean = 67
z is the 95% z score = 1.96
s is the standard deviation = 8
n is the sample size = 64
Substitute;
CI = 67 ± 1.96*8/√64
CI = 67 ± 1.96*8/8
CI = 67 ± 1.96
CI = (67-1.96, 67+1.96)
CI = (65.04, 68.96)
Hence the confidence interval for the mean of the population is between 65.04<x<68.96
(I NEED THIS RIGHT NOW!! PLEASE GIVE EXPLANATION!!) Millie and her brother, Jack, sold candy baes for the band fund-raiser. Millie sold three times as many candy bars as Jack. If Jack sold 30 candy bars, which equation and solution can be used to represent y, the number of candy bars Millie sold?
A. 3y = 30; y = 10
B. 30 = y/3; y = 103
C. 30 = y/3; y = 90
D. 3y = 30; y = 90
Answer:
C
Step-by-step explanation:
When we do 30=y/3 we get 90 because of the fraction symbol and its says in the problem 3 times as much so more not less so 3x30 equals 90 so we already take out A and B and when there is nothing but a simple equation like 30=3 we dived so it cant be D Ethier so its C
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PLEASE HELP!! a bag contains 10 marbles. four of them are red, three blue, two white, and one yellow. A mare ke drawn at random. What is the probability that it is blue?
Answer:
The probability that one marble drawn at random is not blue is 70%
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help me pls
Answer:
i think b
Step-by-step explanation:
Which of the following is the graph of an odd-degree polynomial with a positive lead
coefficient?
(Answer choices are in the image)
The third graph is the only one that is an an odd-degree polynomial with a positive lead coefficient.
How to Interpret the graph of a Polynomial?An even number of total minimums/maximums of the Polynomial is classified as an odd-degree polynomial. Now, we see that only the 3rd and 4th graphs are odd-degree polynomials because they have four total minimums/maximums.
For the polynomial to have a positive leading coefficient, the line must go up in the positive direction. This means that only the 1st and 3rd graphs have a positive leading coefficient due to the fact that their right-most line is going upwards.
Thus, we can say that the third graph is the only one that is an an odd-degree polynomial with a positive lead coefficient.
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Which best describes the composition of tranformations that maps ∆LMN to ∆L'M'N'. 0,0 is the center of the dilation in each choice.
A. a reflection over the line y=3 followed by a dilation of scale factor 2
B. a dilation of scale factor 2 followed by a dilation of scale factor 12
C. a dilation of scale factor 12 followed by a translation left 1 down 3
D. a dilation of scale factor 2 followed by a translation right 1 up 3
Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.
Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.
Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'
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In the diagram below, mMON = 142°, m MOP= 2x+1, and m/ NOP = 2x
+1. What are the exact measures of the angles?
P
M
A. mz MOP = 141
m2 NOP=11
B. m/ MOP = 70
m2 NOP=74
C. m MOP= 71
m2 NOP=71
D. m/ MOP = 140
m2 NOP = 70
On solving the provided question, we can say that angles MOP + NOP = MON; x = 140/4 = 35 and MOP = NOP = 2(35) +1 = 71
what are angles?An angle is a form in Euclidean geometry made composed of two rays, called the angle's sides, that meet at a point in the middle known as the angle's vertex. In the plane where the rays are placed, two rays can produce an angle. An angle is also produced when two planes intersect. They're known as dihedral angles. In plane geometry, an angle is the form that two rays or lines with a common termination might take. The Latin word "angulus," which means "horn," is where the English word "angle" comes from. The two rays, also known as the sides of the angle, have a common termination known as the vertex.
here, angles
MON = 142°, m MOP= 2x+1, and NOP = 2x+1
so, MOP + NOP = MON
2x+1 + 2x + 1 = 142
4x = 140
x = 140/4 = 35
MOP = NOP = 2(35) +1 = 71
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A box contains 240 lumps of sugar. Fie lumps are fitted across the box and the were three layers. How many lumps are fitted along the box?
Answer:
v240
Step-by-step explanation:
Given y=4x+2, find the domain value if the range value is 4
The domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
Given that;
Function is,
y = 4x + 2
Since, the equation equal to the range value:
4 = 4x + 2
Then, we can solve for "x":
4 - 2 = 4x
2 = 4x
x = 1/2
Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:
y = 4x + 2
y = 4(1/2) + 2
y = 4 + 2
y = 6
Therefore, the domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
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Five friends are sharing 7 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
Answer:
1.4
Step-by-step explanation:
7 ÷ 5 = 1.4 or 7/5 as a fraction
The local entrance fee to the zoo is $15.00 annual memberships are $50.00 with a $2.50 admittance fee each time you go to the zoo if jade wants to spend no more than
$75 on trips to the zoo this summer how many visits can she make if she does not buy an annual membership
A 5
B 3
C 4
D 6