The value of x is approximately 17.82 units.
To find the value of the base (x) of a right triangle with a hypotenuse of 20 units and a reference angle of 27 degrees, we can use trigonometric functions.
The reference angle is the angle between the hypotenuse and the base. In this case, the reference angle is 27 degrees.
The trigonometric function that relates the reference angle to the sides of a right triangle is the cosine function (cos).
We can use the cosine function to find the value of x:
cos(reference angle) = base / hypotenuse
cos(27 degrees) = x / 20
To find the value of cos(27 degrees), you can use a calculator or a trigonometric table.
cos(27 degrees) ≈ 0.891
0.891 = x / 20
Now, we can solve for x by multiplying both sides of the equation by 20:
20 × 0.891 = x
x ≈ 17.82
Therefore, the value of x is approximately 17.82 units.
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SOLVE X PLZ!!! I NEED THE HELP.
If you know him i love ill give out brainliest
Answer:
Lucifer
Step-by-step explanation:
But a lot thinner
tests for tuberculosis. Suppose that for the population of adults that is taking the test; 5% have tuberculosis The test correctly identifies 74.6% of the tlme adults with tuberculosis and correctly identifies those without tuberculosis 76.53% of the time: Suppose that POS stands for the test gives positive result and S means that the adult really has tuberculosis What is the probability of an adult getting NEG result and truly having tuberculosis? A.0.0373 B.0.0127 C.0.2230 D.0,7270
The probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.
Let's use the following notation:
P(TB) represents the probability that an adult has tuberculosis, which is given as 0.05.
P(POS|TB) represents the probability that the test is positive given that an adult has tuberculosis, which is given as 0.746.
P(NEG|TB) represents the probability that the test is negative given that an adult has tuberculosis, which is 1 - P(POS|TB) = 0.254.
We are asked to find the probability of an adult getting a NEG result and truly having tuberculosis, which can be calculated using Bayes' theorem as follows:
P(TB|NEG) = P(NEG|TB) * P(TB) / P(NEG)
We can calculate P(NEG) using the law of total probability, which considers the two possible cases for an adult: having tuberculosis (TB) or not having tuberculosis (TB').
P(NEG) = P(NEG|TB) * P(TB) + P(NEG|TB') * P(TB')
= 0.254 * 0.05 + 0.7653 * 0.95
= 0.7352
Now we can substitute the values into Bayes' theorem:
P(TB|NEG) = 0.254 * 0.05 / 0.7352
= 0.01725
Therefore, the probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.
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Can slope be a decimal
Answer:
yes.
Step-by-step explanation:
It is given that p : q : r = 0.8 : 4 : 0.2.Calculate the percentage of r of the total of p,q and r.
A.1%
B.4%
C.20%
D.25%
Answer:
B) 4%
Step-by-step explanation:
The total is
.8 + 4 + .2 = 5
\(\frac{r}{t}\) = \(\frac{.2}{5}\) = 0.04 = 4% To change a decimal to a percent multiply by 100%
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The triathletes were offered water as they rode by the volunteer station. The volunteers handed them cones with the dimensions shown. If each triathlete sloshed 1/3 of the water out before they drank it, how many cubic cm of water did they slosh out? Round to the nearest tenth.
Height 7cm
radius 3.5cm
The slosh-out water is 29.9 cubic cm.
What is volume?Volume is defined as the space covered by any solid body in the three-dimensional plane. For the cylinder, the parameters are height and radius.
The volume of the cone is calculated as:-
V = ⅓r^2h
V = ⅓r^2h
V = ⅓(3.5)^2(7)
V = ⅓(12.25)(7)
V = 1/3(85.75)
V = 85.75/3
1/3 cup of water is sloshed out:
Sloshed water = (85.75/3 )/3
Sloshed water = 29.9 cubic cm
Therefore, the sloshed-out water is 29.9 cubic cm.
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Round 2.186 to the nearest hundred.
Answer:
2.19
Step-by-step explanation:
Hope this helps and have a great day!!!!
Which shows the correct substitution of the values a, b, and c from the equation 1 = –2x + 3x2 + 1 into the quadratic formula?
Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction
x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (3)(0) EndRoot Over 2(3) EndFraction
x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (3)(2) EndRoot Over 2(3) EndFraction
x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (3)(1) EndRoot Over 2(3) EndFraction
x = StartFraction negative 3 plus or minus StartRoot 3 squared minus 4 (negative 2)(0) EndRoot Over 2(negative 2) EndFraction
Answer:
The correct equation would be:
\(x=\frac{-3±\sqrt{3^{2}-4(-2)}}{2(-2)}\)
-Therefore, the correct option is D
Answer:
d
Step-by-step explanation:
I HAVE GIVE BRAINILY
If my grade is an 81 and I take an exam that is %20 of my grade and I get a 0 what is my grade now?
Answer:
you will be at 61
Step-by-step explanation:
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Answer:
the photo is un clear I can answer it but add a better photi
Answer:
y = \(\frac{1}{2}\)x + 4
Step-by-step explanation:
y-intercept = 4
slope = \(\frac{1}{2}\) (use rise over run to solve for slope)
x-intercept = -8
(The picture is a little blurry so this is the best I could make out of it)
A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11). Show clearly that x^2+12x-220=0 solve the equation by factorisation, making sure you show the factorisation. Finally, find the dimensions of the cuboid,
Answer:
\(x^2+12x-220=0\) -- Proved
\(x = 10\ \ \ x = -22\)
Step-by-step explanation:
Given
\(Volume = 924cm^3\)
\(Dimension: 4cm; (x+1)cm; (x+11)cm\)
Required
Show that \(x^2+12x-220=0\)
The volume is calculated as:
\(4 * (x + 1) * (x + 11) = 924\)
Open the brackets
\((4x + 4) * (x + 11) = 924\)
\(4x^2 + 44x + 4x + 44 = 924\)
\(4x^2 + 48x+ 44 = 924\)
Collect Like Terms
\(4x^2 + 48x+ 44 - 924=0\)
\(4x^2 + 48x -880=0\)
Divide through by 4
\(\frac{4x^2}{4} + \frac{48x}{4} -\frac{880}{4}=0\)
\(x^2+12x-220=0\)
Solving further:
Expand the expression
\(x^2 + 22x - 10x - 220 = 0\)
Factorize:
\(x(x + 22) - 10(x + 22) = 0\)
\((x - 10)(x + 22) = 0\)
Split:
\(x - 10 = 0;\ \ \ x + 22 = 0\)
\(x = 10\ \ \ x = -22\)
What is the measure of what is the measure of angle B in the triangle?
This triangle is not drawn to scale.
Enter your answer in the box.
m
Answer:
The answer is 44!
Step-by-step explanation:
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question in link below
Answer:
105
Step-by-step explanation:
2x17=34
17x2.5=42.5
1.5x17=25.5
1/2x2x2x1.5=3
34+42.5+25.5+3=105
Answer Po Ba Ay 11.33?
Step-by-step explanation:
Calc
Tia takes $50 from her bank account to pay for bus fare for the month. She does this each month for 7 months in a row. Which equation models this situation and represents the change it causes in Tia's
bank balance?
(-$50) + 7 =543
(-550) * 7 =-$350
А
B
С
$50 (-7) = $350
D
(-850) - 7 =-557
Answer:
B. - $50 * 7 = - $350Step-by-step explanation:
Taking $50 each month causes - $50 change to bank balance
Repeating same for 7 month:
- $50 * 7 = - $350Correct option is B
Answer:
A
Step-by-step explanation:
If Paula divides her pencils among three friends and herself, everyone gets the same number of pencils. If Paula divides her pencils among
five friends and herself, everyone will get the same number of pencils.
How many pencils could Paula have?
A 28
B. 30
C. 42
D. 48
..........................
Help ASAP Glven the system of equations, what is the value of the system determinant?
2x+y=8
X-y=10
f(x)=x^3+9x^2+23x + 15
if 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has infinitely many solutions
a. always true
b. sometimes true
c. never true
d. none of the above
If 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has infinitely many solutions. The correct option is a. always true.
What are Eigenvalues?
Eigenvalues are a scalar value that is used to understand linear transformations. The line through the origin that represents a transformation's linear span is multiplied by the scalar value.
A square matrix A of size n by n is used to determine the eigenvalues. A square matrix's eigenvalues and eigenvectors are important properties. These eigenvalues and eigenvectors can be used to understand certain features of a linear transformation.
Let's see how the eigenvalues of the matrix of coefficients affect the system of n linear equations in n unknowns. If 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has infinitely many solutions.
This statement is always true.
If λ = 0 is an eigenvalue of A, then det(A - λI) = det(A - 0I) = det(A) = 0 since det(kA) = kn for any scalar k,
we have det(A) = 0
implies that det(A - λI) = det(A - 0I) = det(A) = 0
implies that λ = 0 is an eigenvalue of A.
So, the answer is option a. always true.
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a quadrilateral has 1 pair of equal sides what 2 shapes can it be
Answer: Square and rectangle
Step-by-step explanation:
Use the Laws of logarithms to rewrite the expression 21619 log 211 in a form with no logarithm of a product, quotient or power. After rewriting we have z1y19 log A log(z)+ Blog(y) + Clog(z) 211 with A B and - C=
The the expression is in the required form. Thus, A = 211, B = 1, and C = 1. We use the properties of logarithms to rewrite the expression 21619 log 211 in a form with no logarithm of a product, quotient, or power. is in the required form. Thus, A = 211, B = 1, and C = 1. We use the properties of logarithms to rewrite the expression 21619 log 211 in a form with no logarithm of a product, quotient, or power.
To rewrite the expression 21619 log 211 in a form with no logarithm of a product, quotient or power using the laws of logarithms; it is best to express it in exponential form and then separate it into logarithms.21619 log 211Let's express this expression in exponential form.
We know that log a b = c if a = b.
Using this property, we can write,
\(21619 log 211 = 211^(21619)\)
Now let's separate this exponential expression into logarithms.
\(z1y19 log A log(z)+ Blog(y) + Clog(z) 211\)
Now, we have the value of
\(211^(21619)\)
so we can substitute this value in the above expression to get,
\(z1y19 log A log(z)+ Blog(y) + Clog(z) 211z1y19 log A + log(z^z1y19) + Blog(y) + log(z^C) 211\)
Now we use the property that
log a^n = nlog a to split the logs into their coefficients.
\(z1y19 log A + z1y19 log(z) + Blog(y) + Clog(z).\)
Now, the expression is in the required form. Thus, A = 211, B = 1, and C = 1. We use the properties of logarithms to rewrite the expression 21619 log 211 in a form with no logarithm of a product, quotient, or power.
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2 Four friends go to the ice cream shop to purchase frozen
yogurt. Each friend gets a part strawberry and part
vanilla.
• Lucas gets 0.25 strawberry.
Adrianna gets % strawberry.
Ricardo gets 0.8 strawberry.
Jasmine gets % strawberry.
•
•
Arrange the friends in order from least to greatest amount of
strawberry in their yogurt.
Least
Greatest
Answer:
12
Step-by-step explanation:
simplify (2x²-6x-8)÷(x-4)
Answer: Heyaa!
The Answer is 2x+2
Step-by-step explanation:
Simplify the expression.
hopefully this helps you !
- Matthew ~
answer is in the attachment hope it helps you ^_^
If you make up an affine cipher with the function y ≡ 15x + 17 mod 26, what would be the inverse function?
The inverse function of the affine cipher with the function y ≡ 15x + 17 mod 26 is y ≡ 7(x - 17) mod 26.
To find the inverse function of an affine cipher, we need to determine the multiplicative inverse of the coefficient of x modulo the modulus (26 in this case) and negate the constant term. In the given function y ≡ 15x + 17 mod 26, the coefficient of x is 15.
To find the multiplicative inverse of 15 modulo 26, we look for a number a such that (15 * a) ≡ 1 mod 26. In this case, the multiplicative inverse of 15 is 7, since (15 * 7) ≡ 1 mod 26.
Therefore, the inverse function of y ≡ 15x + 17 mod 26 is y ≡ 7(x - 17) mod 26. This means that for a given ciphertext value y, we can obtain the corresponding plaintext value x by applying the inverse function.
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In two or more complete sentences, describe how you would draw the graph of the solution set for the following inequality.
To find:
The method of drwaing the graph of given inequality.
Solution:
Given inequality: -3m +18 < 30.
Solve the inequality:
\(\begin{gathered} -3m+18<30 \\ -3m<30-18 \\ -3m<12 \\ 3m>-12 \\ m>\frac{-12}{3} \\ m>-4 \end{gathered}\)To draw the graph, draw a dotted line on -4. Since, the solution set contains all numbers greater than -4,so, shade the portion that lies to right side of -4.
ANSWER PLZZZZZZZZZZZZZ
Answer:
to?
Step-by-step explanation:
ms salinas is packing lunches for a field trip. She is placing 15 sack lunches in each of 3 ice chests. Each sack lunch contains a sandwich, an apple, and a bag of potato chips. 40% of the sandwhiches an turkey sandwiches. How many of the sack lunches contain a turkey sandwhich
Answer:18
Step-by-step explanation:
Because 40% of 45 is 18
The orbit of Halley’s comet, last seen in 1986 and due to return in 2061, is an ellipse with eccentricity 0.97 and one focus at the sun. The length of its major axis is 36.18 AU. [An astronomical unit (AU) is the mean distance between the earth and the sun, about 93 million miles.] Find a polar equation for the orbit of Halley’s comet. What is the maximum distance from the comet to the sun?
The polar equation for the orbit of Halley's comet is r = (18.09 AU)/(1 + 0.97*cos(theta)), where r represents the distance from the sun to the comet, and theta represents the angle between the major axis of the ellipse and the line connecting the sun and the comet.
The maximum distance from the comet to the sun occurs when theta is equal to 0 or 180 degrees, resulting in r = 36.18 AU.
Determine the polar equation?To derive the polar equation, we start with the general equation for an ellipse in polar coordinates: r = (a*(1 - e²))/(1 + e*cos(theta)), where a is the semi-major axis and e is the eccentricity.
Given that the major axis of Halley's comet is 36.18 AU and the eccentricity is 0.97, we can substitute these values into the equation to obtain r = (18.09 AU)/(1 + 0.97*cos(theta)).
This equation represents the polar equation for Halley's comet.
The maximum distance from the comet to the sun occurs when the cosine term is equal to -1, resulting in r = 36.18 AU.
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a survey was taken of a random sampling of residents of new york city and los angeles to compare how many of them own a car. a 4-column table with 3 rows. the first column has no label with entries l a residents, n y c residents, total. the second column is labeled own a car with entries 3,251; 1,478, 4,729. the third column is labeled do not own a car with entries 869; 6,182; 7,051. the fourth column is labeled total with entries 4,120; 7,660; 11,780. which statement about the two-way frequency table is true?
The true statement is;
There is a greater percentage of Los Angeles residents who own a car than New York City residents who do
Given,
Following is the presentation of the values:
The number of residents in Los Angeles own a car = 3251
The number of residents in New York City own a car = 1478
Total residents who own a car = 4729
Los Angeles residents who do not own a car = 869
New York City residents who do not own a car = 6182
Total residents who do not own a car = 7051
Total Los Angeles residents sampled = 4120
Total New York City residents sampled = 7660
Total residents of both cities sampled = 11780
Here,
Percentage of Los Angeles residents who own a car = (3251/4120)×100 = 78.9%
Percentage of New York City residents who own a car = (1478/7660)×100 = 19.3%
Then,
The total number of people in the poll who own a car = 4729
Therefore,
The correct option is that there is a greater percentage of Los Angeles residents who own a car than New York City residents who do.
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Answer: B
Step-by-step explanation: