Answer:
\(cos=\frac{4}{5}\)
Step-by-step explanation:
Cosine is the adjacent side over the hypotenuse (You can remember sin, cos, and tan by using sohcahtoa or sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite over adjacent). I think a picture would help, too.
I attached a picture of what I think the triangle would look like.
If the picture is right (we're assuming it is) and going with what we're given (the triangle was addressed as triangle XYZ, meaning that angle Y is in the middle and that's the one we'll use).
Looking at my picture then:
\(cos=\frac{64}{80} \\cos=\frac{8}{10} \\cos=\frac{4}{5}\) .
What is the solution to a system with parallel lines?
Step-by-step explanation:
no solution because they never intercept
On Thursday, it rained four-fifths of an inch. On Friday, it rained an additional one-third of an inch. What was the tota
rainfall on Thursday and Friday?
The total rainfall on Thursday and Friday was
(Type an integer or a simplified fraction.)
inches.
Answer:
1 2/15 inches
Step-by-step explanation:
First you need to make the denominator of the two fractions match.
4/5 and 1/3
the least common multiple of these is 15
4/5 becomes 12/15
1/3 becomes 5/15
add them together
17/15
subtract 15 from 17 because 15/15 is one
we get 2
put 2 as the numerator and 15 as the denominator
Which number set is the most reasonable to describe a baby’s weight at birth?
Whole numbers
Rational numbers
Irrational numbers
Integers
In a random sample of 19 people, the mean commute time to work was 33.7 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a
1-distribution to construct a 80% confidence interval for the population mean μ. What is the margin of error of u? Interpret the results.
The confidence interval for the population mean u is D.
(Round to one decimal place as needed.)
The average confidence interval, according to our 80% level of confidence, falls between 31.54 and 35.86 minutes for the total population.
Why is there a 95% confidence interval?You only have a 5% probability of making a mistake with a 95% confidence interval. You have a 10% probability of being mistaken when the confidence interval is 90%. The difference between a 95 percent and 99 percent confidence interval is the width of the interval (for example, plus or minus 4.5 percent instead of 3.5 percent).
Why is a confidence interval important?Confidence intervals include details about the range in which the true value is likely to fall, as well as the kind and magnitude of the effect that has been proved. Conclusions concerning the can be made as a result of this.
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The higher your credit score, the
A) lower your savings interest rate
B) higher your car loan rate
C) lower your mortgage interest rate
D) higher risk you are to a creditor
Answer: c lower your mortgage interest rate
Step-by-step explanation
The higher your credit score, the less risk you represent for a lender.
My dad taught me this.
elementary surveying two ridges b and c forms a valley having a at the bottom part in between the ridges. elevation difference between b nad c is 111..356 m. observing at point a, the angle of elevation is
the difference of elevation between a and b.Let AB = x, tan 36 = x/111.356 ,x = 111.356 tan 36= 64.39 m and Difference in elevation = 64.39m
We are given that two ridges B and C form a valley with a point A at the bottom part with an elevation difference of 111.356m between the ridges and and angle of elevation of 36 degrees at point A. To find the difference of elevation between A and B, we use the formula of tangent which is tan θ = Opposite/Adjacent. We substitute the values and solve for x, which is the elevation difference between A and B. So the difference in elevation between A and B is 64.39m.
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Please help I’m failing math.
Answer:
The point (5, -4) is a solution to the system because it satisfies both equations.
Step-by-step explanation:
4y = -3x - 1:
\(4(-4) = -3(5)-1\) \(-16=-15-1\) \(-16=-16\)2y = x - 13
\(2(-4)=5-13\) \(-8=-8\)Answer:
Look below
Step-by-step explanation:
Start by plugging (5, -4) into both equation:
\(4y=-3x-1\\4(-4)=-3(5)-1\\-16=-15-1\\-16=-16\rightarrow correct!\)
\(2y=x-13\\2(-4)=5-13\\-8=-8\rightarrow correct!\)
It is a solution because it satisfies both equations.
OR
It is a solution because it is the point of intersection of the two lines.
Prior to June 30, a company has never had any treasury stock transactions. The company repurchased 185 shares of its $1 par common stock on June 30 for $42 per share. On July 20, it reissued 90 of these shares at $46 per share. On August 1, it reissued 70 of the shares at $40 per share. What is the journal entry necessary to record the reissuance of treasury stock on July 20?
On July 20, the journal entry to record the reissuance of treasury stock is: Debit Cash for $4,140 and credit Treasury Stock for $4,140.
To record the reissuance of treasury stock on July 20, the company needs to make the following journal entry:
Date: July 20
Account Debit Credit
Cash $4,140
Treasury Stock $4,140
Explanation:
Debit to Cash ($46 per share * 90 shares) to record the cash received from the reissuance of 90 shares of treasury stock: $46 * 90 = $4,140.
Credit to Treasury Stock to remove the cost of the 90 reissued shares from the treasury stock account.
This journal entry reflects the cash inflow from the reissuance of treasury stock and reduces the balance in the treasury stock account, indicating a reduction in the number of shares held by the company as treasury stock.
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Find the probability that a randomly selected point within the square falls in the red-shaded triangle. 3 3 4 P = [?] 4
The required probability is 3 √7 / 32.
Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.
Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7
The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is: P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.
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Ivanna drove 420 miles using 18 gallons of gas. At this rate, how many gallons of gas would she need to drive 357 miles?
Answer:
15.3 GAL.
Step-by-step explanation:
2nd time asking! I need answer please.
Answer:
33.49 cubic centimeters
Step-by-step explanation:
Equation for volume: 4/3*π*r^3
Substitute 2 for r and 3.14 for π
4/3*3.14*2^3
To the nearest hundredth is 33.49
I need help with pre calculus.
Given the function \(y=2(x-5)^2-6\)
The given relation is a function since for any value of x, there will be a unique corresponding value of y. This shows that the function is one-to-one since all the values of the domain will have a unique value as its co-domain.When we say a function is one-to-one, it shows that no y-values will have repeated x-values, otherwise the relationship will not be a function.
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What the meaning of statement this?
The proof demonstrates that given a well-ordered set W, an isomorphic ordinal can be found using the function F. The uniqueness of this ordinal is established using the Replacement Axioms. The set F(W) is shown to exist for each x in W, and if the least F(W) exists, it serves as an isomorphism of VV onto -y.
Lemma 2.7: This is a previously stated lemma that is referenced in the proof. Unfortunately, without the specific details of Lemma 2.7, it's difficult to provide further explanation for its role in the proof.
Well-ordered set W: A well-ordered set is a set where every non-empty subset has a least element. In this proof, W is assumed to be a well-ordered set.
Isomorphic ordinal: An ordinal is a mathematical concept that extends the notion of natural numbers to represent order and magnitude. An isomorphic ordinal refers to an ordinal that has a one-to-one correspondence or mapping with another ordinal, preserving their order and magnitude properties.
Function F: The function F is defined to assign an ordinal o to each element x in W. This means that for every x in W, there is a corresponding ordinal o.
Existence and uniqueness: The proof asserts that if there exists an ordinal o that is isomorphic to a specific initial segment of the ordinal VV (the set of all ordinals), then this ordinal o is unique. In other words, there is only one ordinal that can be mapped to the initial segment of VV given by x.
Replacement Axioms: The Replacement Axioms are principles in set theory that allow the construction of new sets based on existing ones. In this case, the Replacement Axioms are used to assert that the set F(W) exists, which is the collection of all ordinals that can be assigned to elements of W.
For each x in W: The proof states that for every x in W, there exists an ordinal o that can be assigned to it. If there is no such ordinal, the proof suggests considering the least x for which such an ordinal does not exist.
The least F(W): The proof introduces the concept of the least element in the set F(W), denoted as the least F(W). If this least element exists, it serves as an isomorphism (a one-to-one mapping) of the set of all ordinals VV onto the ordinal -y.
Overall, the proof outlines the existence and uniqueness of an isomorphic ordinal that can be obtained from a well-ordered set W using the function F, and it relies on the Replacement Axioms and the concept of least element to establish this result.
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Can someone help me please
Answer:
n = -1
Step-by-step explanation:
n^2 + 5n + 1 = 3n
N^2 +2n +1 = 0 (subtract 3n from both sides)
(n+1)(n+1) = 0 (factor
n+1 =0; n= -1
n+1 = 0 ; n=-1
need help asap. pls somebody help.
Answer:
D
Step-by-step explanation:
why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.
x²
-x²
-x -x
x x x x (clearly that means 4x)
-1 -1 -1
1 1
so, we see it is D.
solve for x, using the secant lines. 53° 189°
The measure of the arc opposite to 189° is 136°.
What are secant lines?Secant lines are lines that intersect a curve at two distinct points. They are used to approximate the slope of the curve by measuring the change in the y-coordinate of the two points divided by the change in the x-coordinate of the two points.
The measure of the angle opposite to 189° is x.
To solve for x, we can use the property of alternate interior angles.
The sides of the two secant lines that intersect outside the circle form alternate interior angles whose measures are equal.
Therefore, the two angles formed by the secant lines inside the circle must have the same measure.
Therefore, 53° + x° = 189°.
Subtracting 53° from both sides, we get x° = 136°.
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8x10⁵ is how many times as great as 8x10 negative 1
Explanation:
To find how many times is one number greater than another number we have to find the quotient between the two of them:
\(\frac{8\times10^5}{8\times10^{-1}}=\frac{8}{8}\times\frac{10^5}{10^{-1}}=10^{5-(-1)}=10^{5+1}=10^6\)Answer:
8x10⁵ is 10⁶ times greater than 8x10⁻¹
Solve the inequality below. Use the drop-down menus to describe the solution and its graph. 7 13 11 Click the arrows to choose an answer from each menu. The solution to the inequality is Choose.... Choose... A graph of the solution should have Choose.... and be shaded to the
Answer:
\(x \leq -4\)
There will be a filled-in hole at -4.
Step-by-step explanation:
We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)
\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)
The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.
For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.
In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.
A filled-in hole means the number is included in the inequality, while an empty one means it isn't.
In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.
please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
7*3=21
21*2=42
42 units^3
Step-by-step explanation:
brainliest
I need help plss, whoever answers me, I’ll give brainliest.
Answer:
12.
Step-by-step explanation:
36 = 3 * 12
48 = 4 * 12,
Mrs. Banks made cookies. 2/3 FRACTION BTW
of them are chocolate chip cookies and 1/5 ALSO FRACTION BTW
of them are sugar cookies. The rest are oatmeal.
What fraction of the cookies are chocolate chip or sugar?
Answer:
13/15
Step-by-step explanation:
We Know
2/3 of them are chocolate chip cookies.
1/5 of them are sugar cookies.
What fraction of the cookies are chocolate chip or sugar?
2/3 + 1/5 = 10/15 + 3/15 = 13/15
So, 13/15 of the cookies are chocolate chip or sugar.
prime factorization of the following numbers in exponential form 48prime factor of 32
Solve the equation by completing the square. X^2-4x+4=9
Answer:
x =5 x =-1
Step-by-step explanation:
X^2-4x+4=9
(x-2)^2 = 9
Take the square root of each side
sqrt((x-2)^2) = sqrt(9)
x-2 = ±3
Add 2 to each side
x-2+2 = 2±3
x = 2+3 x =2-3
x =5 x =-1
Answer:
-1, 5
Step-by-step explanation:
See the steps below:)
please help me solve this
The area of triangle EFG is given as follows:
A = 18.63 square units.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:
A = 0.5bh
The base is given by segment EF as follows:
\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)
EF = 5.4.
The midpoint of EF is given as follows:
M(6.5, -8).
The height is given by the segment MG as follows:
\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)
MG = 6.9.
Hence the area is given as follows:
A = 0.5bh
A = 0.5 x 5.4 x 6.9
A = 18.63 square units.
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WILL GIVE TRUE 100 POINTS AND BRAINLYEST FOR THE CORRECT ANSWER
Answer:
y intercept = +4
slope = +2
domain = (-2,0)
range = (4,0)
Graph is increasing
x intercept = -2
Step-by-step explanation:
Line hits y axis at point 4
Slope is calculated by rise over run (2/1)
Domain is x,y listed
Range is y,x listed
Line is going up
Line hits x axis at -2
Plot the image of B under a dilation about the origin with scale factor of 2/3 .
Answer:
We plot the dilated point at (8.67, 8)
Explanation:
The original coordinates of the point are
\(B(13,12)\)Dilating the point about the origin by a scale factor of 2/3 means that we multiply the coordinates by 2/3.
Multiplying the coordinates of B by 2/3 gives
\((13,12)\times\frac{2}{3}=(13\times\frac{2}{3},12\times\frac{2}{3})\)\(=(\frac{26}{3},\frac{24}{3})\)which in decimal form is
\((8.67,8)\)Hence, the coordinates of the dilated point are (8.67, 8).
there are 17 cookies that will be divided equally among 5 goody bags. How many cookies go in each goody bag.
For each goody bag we need 3.4 cookies
What is the unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
We are given that there are 17 cookies that will be divided equally among 5 goody bags.
17 cookies = 5 goody bags.
For each goody bag.
Thus,
17/5 = 3.4 cookies.
Therefore, 3.4 cookies needed.
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Suppose that the readings on the thermometers are normally distributed with a mean of 0∘ and a standard deviation of 1.00∘C.
If 12% of the thermometers are rejected because they have readings that are too high, but all other thermometers are acceptable, find the reading that separates the rejected thermometers from the others.
The reading that separates the rejected thermometers from the others is given as follows:
1.175 ºC.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
\(\mu = 0, \sigma = 1\)
The 12% higher of temperatures are rejected, hence the 88th percentile is the value of interest, which is X when Z = 1.175.
Hence:
1.175 = X/1
X = 1.175 ºC.
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QUICK 100 Points, What is the standard portion cost for a 1-ounce portion of parmesan cheese purchased a pound for $14.60 per pound? (There are 16 ounces in a pound.)
$0.53
$0.68
$0.91
$1.02
Answer:
$0.91
Step-by-step explanation:
Given:
1 pound = 16 ounces$14.60 = 1 lb Parmesan cheeseIf one pound of Parmesan cheese costs $14.60, to find the cost of a one-ounce portion, simply divide the cost of one pound by 16:
\(\implies \textsf{1 ounce portion}=\dfrac{\$14.60}{16}=\$0.9125=\$0.91\;\sf (nearest \; cent)\)
Therefore, the standard portion cost for a one-ounce portion of Parmesan cheese is $0.91 (nearest cent).
Can someone explain this to me on how you get this cause I’m really confused?
Explanation:
Convert each fraction into an improper function.
In order to do that, take the whole number and multiply it by the denominator.
Then, add the numerator to the product and put it over the denominator.
2\(\frac{3}{7}\): ((2*7 = 14) + 3)/7 = \(\frac{17}{7}\)
1\(\frac{4}{7}\): ((1*7 = 7) + 4)/7 = \(\frac{11}{7}\)
\(\frac{17}{7}\) - \(\frac{11}{7}\) = \(\frac{6}{7}\)