The value of the sine of angle D to the nearest hundredth will be 0.25.
What is the sine law?The Law of Sines The law of trigonometric functions, sine law, sine formula, or sinusoidal rule is a trigonometric equation that relates the sizes of any triangle's edges to the sines of its orientations.
The sine law in the triangle ΔCDE is given as,
CD / sin E = DE / sin C = EC / sin D
In triangle ΔCED, the measure of angle ∠E = 90°, ED = 63, DC = 65, and CE = 16. Then we have
65 / sin 90° = 63 / sin C = 16 / sinD
Compare the first and the last term, then we have
65 / sin 90° = 16 / sin D
65 = 16 / sin D
sin D = 16 / 65
D = 14.25°
The worth of the sine of point D to the closest 100th will be 0.25.
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if the overnight temperature at the Arctic Circle was -14°F, but the temperature rose to
8°F during the day, what was the difference between these high and low temperatures?
Answer:
The difference is 22°
Answer:
22 degrees F
Step-by-step explanation:
A girl has 11 coins in dimes and quarters. Their value is $1.55. How many quarters does she have?
8
3
5
Answer:
she has 3 quarters
Step-by-step explanation:
let's call the amount of dimes D
let's call the amount of quarters Q
you know that she has 11 coins in total,
so D + Q = 11.
you also know that each dime is worth 10 cents.
and each quarter is worth 25 cents.
so 10d + 25q = 155
this is a system of equations. solve by substitution:
d = 11 - q
10d + 25q = 155
10(11 - q) + 25q = 155
110 - 10q + 25q = 155
15q + 110 = 155
15q = 45
q = 45/15
q = 3
Tina has two bags of counters, Bag A and Bag B.
There are 5 red counters and 3 blue counters in bag A.
There are 4 red counters and 5 blue counters in bag B.
Tina takes at random a counter from each bag.
(a) Complete the probability tree diagram.
The probability of getting two red counters is 27.77%, the probability of getting two blue counters is 20.38%, and the probability of getting one of each color is 51.38%.
Given that Tina has two bags of counters, Bag A and Bag B, and there are 5 red counters and 3 blue counters in bag A, while there are 4 red counters and 5 blue counters in bag B, to determine, if Tina takes at random a counter from each bag, the probability of obtaining each counter, the following calculation must be made:
Bag A red counter = 5/8 = 0.625 Bag A blue counter = 1 - 0.625 = 0.375 Bag B red counter = 4/9 = 0.444 Bag B blue counter = 1 - 0.444 = 0.555 Two red = 0.625 x 0.444 = 0.2777 Two blue = 0.375 x 0.555 = 0.2083 One red and one blue = 1 - 0.2777 - 0.2083 = 0.5138
Therefore, the probability of getting two red counters is 27.77%, the probability of getting two blue counters is 20.38%, and the probability of getting one of each color is 51.38%.
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Mark says that the expression 2+3 is a binomial since it had two terms. Layla says that it is a monomial since 2+3=5,and 5 is just one term. Who is correct
The given expression in monomial. 2+3 is a monomial as it will give 5 which has only one degree. Layla is correct
What is monomial?
When an expression has only one similar like term of all the terms are of same degree then it is known as Monomial. When there are two distinct terms then it is said to be binomial.
We Are given an expression 2+3
Now both the number 2 and 3 have degree 0
Hence we can add them directly hence it become 5 which again has a degree 0 only
Hence it is a monomial term
Therefore Layla is correct
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The graphs below have the same shape. What is the equation of the red
graph
For a graph to move up, we must add the value of how much we want to move up outside the function.
So if the original graph \(f(x) = x^2\), thus \(g(x) = x^2 + 2\)
Hope that helps!
Please help 60 points for a rapid answer-In the figure below which of the following is true in circle E?
Answer:
all 3 options are true : A, B, C
Step-by-step explanation:
warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.
they say that A and C are correct.
but I am going to show you that if A and C are correct, then also B must be correct.
therefore, my given answer above is the actual correct answer (no matter what the test systems say).
originally the information about the alignment of the point F in relation to point E was missing.
therefore, I considered both options :
1. F is on the same vertical line as E.
2. F is not on the same vertical line as E.
because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :
the vertical line of EF is like a mirror between the left and the right half of the picture.
A is mirrored across the vertical line resulting in B. and vice versa.
the same for C and D.
this leads to the effect that all 3 given congruence relationships are true.
if we consider assumption 2, none of the 3 answer options could be true.
but if the assumptions are true, then all 3 options have to be true.
now, for the "why" :
remember what congruence means :
both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.
for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.
so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.
therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.
but do you notice something ?
both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.
now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.
therefore, AC must be equal to BD.
and that means that AC is congruent to BD.
because lines have no other congruent criteria - only the lengths must be identical.
please help meee brainliest
Answer: 19.
Step-by-step explanation:
9 -3 / 1/3 + 1
6 / 1/3 + 1
(6 * 3/1) + 1 also written as (6 * 3) + 1
18 + 1
= 19.
Please help me solve this :)
Answer: I think it's 6
Step-by-step explanation:
Simplify (step by steps, thanks!)
The simplified expression is given by (x² - 3x - 3) / ((x + 3)(x - 2)(x - 4)).
To simplify this expression, we need to find a common denominator for the two fractions and then combine them. To do this, we need to factor the denominators of both fractions.
Let's start with the first fraction's denominator:
x² + x - 6
We need to find two numbers that multiply to -6 and add to +1. These numbers are +3 and -2. Therefore, we can write:
x² + x - 6 = (x + 3)(x - 2)
Now let's factor the second fraction's denominator:
x² - 6x + 8
We need to find two numbers that multiply to 8 and add to -6. These numbers are -2 and -4. Therefore, we can write:
x² - 6x + 8 = (x - 2)(x - 4)
Now we can rewrite the original expression with a common denominator:
(x(x - 2) - (1)(x + 3)) / ((x + 3)(x - 2)(x - 4))
Next, we can simplify the numerator:
(x² - 2x - x - 3) / ((x + 3)(x - 2)(x - 4))
(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))
Finally, we can't simplify this expression any further. Therefore, the simplified expression is:
(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))
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A) y=1/3x-8
B) y=1/3x-4
C) y=1/3x+2
D) y=1/3x-14
Answer:
A
Step-by-step explanation:
Concept :-
The slope intercept form of a line is y = mx + c Where m is slope , and c is constant .On converting :-
\(\bf\implies y + 5 =\dfrac{1}{3}(x-9)\\\\\bf\implies y + 5 =\dfrac{1}{3}x - 3 \\\\\bf\implies y = \dfrac{1}{3}x - 3 - 5 \\\\\bf\implies\boxed{\red{y = \dfrac{1}{3}x -8 }}\)
Hence option A is correct.a. The Figure shows the coefficient matrix of a discretized reservoir by blockcentered grids where the non-zero elements are indicated by x position, while zero elements are left blank. Draw this discretized reservoir using the standard ordering.
Unfortunately, I am unable to directly interpret or visualize figures or images. However, I can provide you with a general explanation. In a discretized reservoir using block-centered grids, the standard ordering refers to the arrangement of grid cells or blocks in a particular pattern.
This pattern is often used to establish the connectivity and adjacency relationships between the cells in the reservoir model. Typically, the standard ordering arranges the grid cells in a sequential manner, starting from the top-left corner and moving row by row. Each grid cell represents a discrete volume or unit in the reservoir. The non-zero elements, indicated by the "x" positions in the coefficient matrix, would correspond to the active or connected cells within the reservoir model. These active cells are the ones that contribute to fluid flow and other reservoir properties. To visualize the discretized reservoir using the standard ordering, you would need to refer to the coefficient matrix and determine the dimensions of the reservoir model, such as the number of rows and columns. Then, starting from the top-left corner, you can represent each active cell or block using a graphical representation, such as a square or rectangle, in a sequential manner based on the standard ordering. This way, you can construct a visual representation of the discretized reservoir model.
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In which quadrant would the point (3.6, - 4 2/3) be located?
Answer:
3 because of the negative relations
Answer:
Quadrant 4
Hope this works! :)
A chemist needs 80 milliliters of a 37% solution but has only 19% and 43% solutions available. Find how many milliliters of
each that should be mixed to get the desired solution?
Answer:
A chemist mixes a 10% saline solution with a 20% saline solution to make 500 milliliters of a 16% saline solution.
Step-by-step explanation:
Solve the following system using elimination
2 x − 3 y = −2
9 x − 10 y = 12
Answer:
x-y=-6
Step-by-step explanation:
hope this helps and I hope you have a good day
How many different values can a 16-bit binary number store? How many digits are needed fora hexadecimal number to do the same? How about a base-5 number? Show your work.
A very simple way to know the number of possible combinations in a binary number is given by the next formula:
\(2^n=2^{16}=65536^{}\)Now, we should remember that an hexadecimal number contain 16 different digits, from 0 to F. Therefore
\(\begin{gathered} 16^n=65536 \\ n\ln 16=\ln 65536 \\ n=\frac{\ln 65536}{\ln 16} \\ n=4 \\ 16^4=65536 \end{gathered}\)Thus, we will need 4 hexadecimal numbers to achieve the same values as a 16-bit number.
For the base-5 number we can do a similar procedure:
\(\begin{gathered} 5^m=65536 \\ m\ln 5=\ln 65536 \\ m=\frac{\ln 65536}{\ln 5} \\ m=6.89\approx7 \\ 5^7^{}=78125 \end{gathered}\)Therefore, we would need at least 7 numbers base-5 to achieve something similar to 16-Bit number
Devaughn is 13 years younger than Sydney. The sum of their ages is 81 . What is Sydney's age?
By solving equations we can conclude that the age of Devaughn and Sydney is 27.5 years and 40.5 years respectively.
What are equations?In mathematical formulas, the equals sign is used to indicate that two expressions are equal.
A mathematical statement that uses the word "equal to" between two expressions with the same value is called an equation.
like 3x + 5 = 15, for instance.
Equations come in a wide variety of forms, including linear, quadratic, cubic, and others.
So, form the equations as:
Let Devaughn be x and Sydney be s.
Now,
x + 13 = s ...(1)
x + 13 + s = 21 ...(2)
Now, insert s = x + 13 in equation (2):
x + 13 + s = 81
x + 13 + x + 13 = 81
2x + 26 = 81
2x = 81 - 26
2x = 55
x = 27.5
Now, insert x = 27.5 in equation (1):
x + 13 = s
27.5 + 13 = s
40.5 = s
Therefore, by solving equations we can conclude that the age of Devaughn and Sydney is 27.5 years and 40.5 years respectively.
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Complete the table with values for x or y that make this equation true: 3x + y = 15.
Answer:
Step-by-step explanation:
should a test of statistical significance be conducted before or after computing d and interpreting its value?
Yes, a test of statistical significance be conducted before or after computing d and interpreting its value.
The p-value is an important phrase for hypothesis testing in the context of statistical significance of data.
The p-value is defined as a function of observed sample outcomes that is used to evaluate statistical hypotheses. Before running the test, a threshold value must be chosen.
The significance is a figure that represents the probability that the outcome of a study occurred entirely by chance. The statistical significance can be low or high. It does not always imply practical significance. When a researcher does not use language carefully in their experiment report, the significance may be misconstrued.
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A store sells a laptop for $1,137.84. This is after a markup of 32% has been applied to the original price the store paid for the laptop.
Which equations will help find the original price of the laptop, x?
(MULTIPLE ANSWERS)
A.) p(1 − 0.32) = 1,137.84
B.) p + 0.32p = 1,137.84
C.) 1.32p = 1,137.84
D.) 0.68p = 1,137.84
E.) p(1 + 0.32) = 1,137.84
F.) p − 0.32p = 1,137.84
The original price of the laptop was $862.00
How to calculate the original price
The original price of the laptop, denoted by x, can be found by setting up an equation that relates it to the final price after markup.
We know that the final price of the laptop is $1,137.84, and that this price is 32% higher than the original price.
So, one way to set up an equation to solve for x is to use the formula:
final price = original price + markup
where the markup is defined as a percentage of the original price.
In this case, we can write:
$1,137.84 = x + 0.32x
Simplifying this equation, we get:
$1,137.84 = 1.32x
To solve for x, we can divide both sides by 1.32:
x = $1,137.84 ÷ 1.32
x = $862.00
So the original price of the laptop was $862.00.
Using this approach, we can see that option C (1.32p = 1,137.84) is the correct equation for finding the original price of the laptop.
Option A (p(1 − 0.32) = 1,137.84) is incorrect because it represents the final price, not the original price.
Option B (p + 0.32p = 1,137.84) is also incorrect because it represents the sum of the original price and the markup, which is not what we need to find.
Option D (0.68p = 1,137.84) is incorrect because it represents a calculation that is not relevant to finding the original price.
Option E (p(1 + 0.32) = 1,137.84) is incorrect because it represents a calculation that adds the markup to the original price, which is not what we need to find.
Option F (p − 0.32p = 1,137.84) is also incorrect because it represents the difference between the original price and the markup, which is not what we need to find.
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4) what is the probability that the random variable has a value between 0.6 and 2.1?a) 0.1875 b) 0.4625 c) 0.3375 d) 0.2125
For a uniform distribution random variable X, the probability that the random variable has a value between 0.6 and 2.1 is equals to 0.1875. So, option(a) is right one.
The uniform distribution is defined as a continuous probability distribution and the events are equally likely to occur. In other words in this distribution every possible outcome has an equal probability. There is a uniform distribution of variable. Let the random variable be denoted by X be uniformly distributed. The above figure shows uniform density curve for X. That is \( X \: \tilde \: \: U( 0, 8) \).
Probability density function is f(x) = \(\frac{ 1}{8} = 0.125\)
We have to determine probability that the random variable has a value between 0.6 and 2.1, P(0.6 ≤ X ≤ 2.1). So, required probability is P(0.6 ≤ X ≤ 2.1) = \(\int_{0.6}^{2.1} f(x) dx \).
\(= [ 0.125x ]_{0.6}^{2.1}\)
= 0.125 ( 2.1 - 0.6)
= 0.125 ( 1.5)
= 0.1875
Hence, required value is 0.1875.
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Complete question:
the above figure complete the question.
Using the uniform distribution density curve answer the question :
what is the probability that the random variable has a value between 0.6 and 2.1?
a) 0.1875
b) 0.4625
c) 0.3375
d) 0.2125
Please help me! No links!!!
what is v?
v-6=-20
Answer:
Hi! The answer to your question is v = 14
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Answer:
12
Step-by-step explanation:
20-60=12
if you know how to do it correctly, please help me only.
Answer:
1&2 Perpendicular
1&3 Parallel
2&3 Perpendicular
Step-by-step explanation:
I put it in the Desmos Calculator
1. what is the height of the cone? Explain how you found the height.
2. Now that you have the height of the cone, how can you solve for the slant height, s?
3. Now that you have the height of the cone, how can you solve for the slant height, s?
1. The height of the cone is equal to
2. You can solve for the slant height, s by applying Pythagorean's theorem.
3. To get from the base of the cone to the top of the hill, an ant has to crawl 29 mm.
How to calculate the volume of a cone?In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:
Volume of cone, V = 1/3 × πr²h
Where:
V represent the volume of a cone.h represents the height.r represents the radius.By substituting the given parameters into the formula for the volume of a cone, we have the following;
8792 = 1/3 × 3.14 × 20² × h
26,376 = 3.14 × 400 × h
Height, h = 26,376/1,256
Height, h = 21 mm.
Question 2.
In order to solve for the slant height, s, we would have to apply Pythagorean's theorem since the height of the cone has been calculated above.
Question 3.
By applying Pythagorean's theorem, we have the following:
r² + h² = s²
20² + 21² = s²
400 + 441 = s²
s² = 841
Slant height, s = √841
Slant height, s = 29 mm.
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If there were 500 students in Jamal’s class, approximately how many actual students scored higher than Jamal on the quiz if Jamal had a z-score of -1? a. 340 b. 420 c. 250 d. 490
it's 490 because when you get a zero or less it takes 10 points off your grade which leaves 490 students with good grades.
what is the Evaluate the expression.
15.6−(−13.7−8.5)
15.6 - (-22.2)
15.6 + 22.2
37.8
Please answer this question now in two minutes
Answer: a
Step-by-step explanation: simple math
A DVD has a diameter of 4.75 inches. Find the Circumference. Use a calculator pi or 3.14. Round to the nearest hundredth, if necessary.
Answer:
Step-by-step explanation:
What is the volume of the cylinder to the nearest whole number? a) 942 cm3 b) 3,534 cm3 c)471 cm3 d) 9,420 cm3
Answer:
V = 3534 cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
the radius is 7.5 and the height is 20
V = pi ( 7.5)^2 * 20
V =1125 pi cm^3
Using the pi button for pi
V =3534.291735 cm^3
Rounding to the nearest whole number
V = 3534 cm^3
Answer:
b)3534 cm^3
Step-by-step explanation:
To find the area of a cylinder, you first have to find the area of the base which is in the shape of a circle. The area of a circle is given by the equation πr^2. In this case r, the radius, is 7.5 cm. So plugging in 7.5 for r you get 7.5^2 × π. Plugging in 3.1415 for π you get ~176.671. Now all you do is multiply this by the height, 20cm, and get the answer of ~3534 cm^3.
toru rode his bike from his house to the library, to the park, and then back home. toru realized that his route made an isosceles triangle, and that the library was the exact same distance from both his house and the park. what is the measure of the angle at the library?
The measure of the angle at the library is 90 degrees.
Since the library is the same distance from both Toru's house and the park, this means that the triangle formed by the three points is an isosceles triangle, with two sides of equal length and two congruent angles.
In an isosceles triangle, the two equal angles are always congruent and add up to 180 degrees. So, the measure of each angle at the library would be:
180 degrees / 2 = 90 degrees
So, the measure of the angle at the library is 90 degrees.
An isosceles triangle is a type of triangle where two sides are of equal length and two angles are congruent. The two equal sides are called the legs and the third side is called the base. The two equal angles are opposite the two equal sides and are located at the vertices that are connected to the base.
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The measure of the angle at the library is 90 degrees.
Since the library is the same distance from both Toru's house and the park, this means that the triangle formed by the three points is an isosceles triangle, with two sides of equal length and two congruent angles.
In an isosceles triangle, the two equal angles are always congruent and add up to 180 degrees. So, the measure of each angle at the library would be:
180 degrees / 2 = 90 degrees
So, the measure of the angle at the library is 90 degrees.
An isosceles triangle is a type of triangle where two sides are of equal length and two angles are congruent. The two equal sides are called the legs and the third side is called the base. The two equal angles are opposite the two equal sides and are located at the vertices that are connected to the base.
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EP ME EP ME HELP ME HELP ME
Answer: 32000 bacteria
Answer: 32000 bacteria!
Step-by-step explanation:
Have a good stay and stay hydrated! :)