. Find sin D , sin E , cos D , and cos E . Write each answer as a fraction in simplest form.
Answers
The trigonometric functions are sin D = 28/53, sin E = 45/53, cos D =45/53, and cos E = 28/53 as fractions.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
The trigonometric functions are given in the question
Apply the sine ratio on the given right triangle
⇒ sin(θ) = Perpendicular/hypotenuse
sin D = EF/DE
sin D = 28/53
sin E = DF/DE ,
sin E = 45/53
Apply the cosine ratio on the given right triangle
⇒ cos(θ) = Base/hypotenuse
cos D = DF/DE
cos D =45/53
cos E = EF/DE
cos E = 28/53
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Related Questions
A scale drawing of a rectangular playground has a length of 30 inches and a width of 20 inches as shown. The scale is 1 inch = 15 feet. What is the area of the actual playground?
10 points
Answers
Answer:
Step-by-step explanation:
L x W = A
L = 30 * 15 = 450.
L = 450.
L x W = A
450 x ? = A
W = 20 X 15
W = 300.
L x W = A
450 x 300 = A
A = 135,000
Box A is 12 inches by 18 inches by 24 inches. Box B is 12 inches by 12 inches by 30 inches. How much greater is the volume of Box A? A. 5184 in³ B. 4320 in³ C. 864 in³ D. 576 in³
Answers
4 12. DISCUSS MATHEMATICAL THINKING Recall that a perfect square is a number with integers as its
square roots. Is the product of two perfect squares always a perfect square? Is the quotient of two
perfect squares always a perfect square? Explain your reasoning.
Please help will give Brain liest
Answers
Yes the product of two perfect squares is always a perfect square, But the quotient of two perfect squares is not always a perfect square.
What is perfect square?A perfect square is a number that can be expressed as the product of an integer multiplied by itself.
Examples of perfect squares include 4 (2*2), 9 (3*3), and 25 (5*5).
What is quotient of a number?The quotient is the result obtained after performing division of one number by another. It is the number of times that the divisor can be subtracted from the dividend until the remainder is smaller than the divisor.
The product of two perfect squares is always a perfect square because the root of the products is equal to the product of roots as shown below,
let us take the two perfect squares 4 and 9, so the square root of 4*9 is,
[tex]\sqrt{4*9} =\sqrt{4} *\sqrt{9} \ =2*3=6[/tex]
But , the quotient of two perfect squares is a perfect square,
When we divide two perfect squares we are not always going to get a quotient that can be represented as the square of an integer. For example, (36/16) = 9/4 which is not a perfect square.
However, if the numerator and denominator in the quotient are the same perfect square then the quotient will be 1 which is a perfect square.
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Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 2)(0,2) and (3, 686)(3,686).
Answers
find the values for a and b :
1- you have the point (0,2)
Substitute 0 for x and 2 for y
2 = a * b ^0
2= a * 1
a= 2
2- you have the point (3,686)
Substitute 3 for x and 686 for y and 2 for a
y = 2 b^x
686 = 2 * b^3
343 = b^3
b = 7
y = 2 * 7^x
The table shows the balances of two bank accounts for 3 months. In what month will the balance of account A be equal to the balance of account B?
Answers
As per Given data,
The month in which the balance of two bank accounts A is become equal to the balance of account B is 30thmonths,
How to find unknown values?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
Month Account A Account B
0 $ 100 $ 250
1 $ 125 $ 270
2 $ 150 $ 290
Clearly
The amount in account A is growing with $25 each month. Thus, the amount in this account in nth month is,
100+25[tex]n[/tex]
The amount in account B is just growing with $20. Thus, the amount in this account in nth month is,
250+20[tex]n[/tex]
x month
balances of two
account becomes equal,
then
100 + 25x =250 + 20x
25x - 20x = 250 - 100
5x = 150
x =30
Therefore, in 30th month balance of account A equal to balance of account B
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Q. The table shows the balances of two bank accounts for 3 months. In 30th month will the balance of account A be equal to the balance of account B?
Month Account A Account B
0 $100 $250
1 $125 $270
2 $150 $290
Gaya buys 2 oranges and 1 cauliflower she pays £2.00
Esteben buys 4 oranges and 1 cauliflower he pays £2.90
Work out the price of one orange
Answers
Answer:
Step-by-step explanation:6
what is the rate of decay f(x)=(.8)^x
9th grade AP algebra
Answers
The provided function, f(x)=(.8)^x, has a 20% rate of decay.
What is the Rate of decay or growth?
A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay.
given, a function f(x)=(.8)^x. To calculate the decay rate of this function.
The exponential decay formula aids in determining the exponential drop, which is a rapid reduction over time. To calculate population decay, half-life, radioactivity decay, and other phenomena, one uses the exponential decay formula. F(x) = a (1 - r)x is the general form.
Where
a = the initial amount
1-r is the decay factor
x = time span
from the given expression,
Decay factor = 0.8
That is also equal to 1 - r
1 - r = 0.8
r =0.2
Thus, rate of decay = r * 100%
rate of decay = 0.2 * 100 = 20%
therefore, The rate of the of the given function f(x)=(.8)^x is 20%.
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If x = -6, which inequality is true?
Question 1 options:
-5 - 3x > 10
-3 - 5x < -14
1 - 2x > 13
2 - x < -3
Answers
Answer:
1 - 2x > 13
Step-by-step explanation:
this is the correct answer
Arjun is hiking from a mountain lodge to a nearby summit. The probability that he will take the longest trail is 59. The odds against Arjun taking the longest trail are _[blank]_.
What odds best complete the sentence?
Enter your answer as “m:n{}^{\prime\prime} where m and n are the smallest integers possible, like this: 3:2
Answers
The odds against Arjun taking the longest trail are 4 : 9 .
How to find the probability ?The probability that when Arjun is hiking from the mountain lodge to the nearby summit, he takes the longest trail, is 5 / 9.
This means that the odds that Arjun will not take the longest trail, or rather, the odds against him taking the longest trail, will be the difference between 1 and the probability that he takes the longest trail:
= 1 - 5 / 9
= 4 / 9
When given as a ratio, this would be:
= 4 : 9
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HELP ! Will give BRAINLEIST
Answers
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Trigonometric Ratios.
10.) Cos 40° = z/32 , Hence z = 24.51
11.) Sin 58° = 27/x , hence x = 31.83
12.) Tan 33° = w/19 , hence w = 12.33
13.) Cos 52° = k/8.7, Hence k = 5.35
What number multiplies to -50 and adds to 5?
Answers
Answer:
10 and -5
Step-by-step explanation:
10(-5) = -50
10 + (-5) = 5
Good luck!
Answer:
10 and -5
Step-by-step explanation:
can some help me with this question?
Answers
Answer:
i think it's reflection followed by translation
Step-by-step explanation:
Answer:
step 1) glide translation of EFG by one unit to the left and 2 units down
step 2) reflection over the x-axis
Step-by-step explanation:
yall im thinking A or B but can someone help?
Answers
5/9 (y+3)=40 I need help to solve this it’s in algebra
Answers
Answer:
= 69
Step-by-step explanation:
Combine multiplied terms into a single fraction, Distribute, then Multiply all terms by the same value to eliminate fraction denominators.
1) 5/9 ( y + 3 ) = 40 or 5(y + 3) / 9 = 40
2) 5y + 15 / 9 = 40
3) 9 ( 5y + 15 / 9) = 9 40
What is the general formula for Logarithms?
Answers
The general formula for logarithms is [tex]log_b(x) = y[/tex].
What is a logarithmic function?
A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: [tex]f(x) = log_b(x),[/tex] where b is the base of the logarithm.
The general formula for logarithms is:
[tex]log_b(x) = y[/tex]
This means that b raised to the power of y is equal to x.
Where b is the base of the logarithm, x is the number that we are taking the logarithm of, and y is the result or the logarithm of x to the base b.
Hence, the general formula for logarithms is [tex]log_b(x) = y[/tex].
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The general formula for logarithms is [tex]log_b(x)=y[/tex].
What is a logarithmic function?
A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: [tex]f(x)=log_b(x)[/tex] where b is the base of the logarithm.
The general formula for logarithms is:
[tex]log_b(x)=y[/tex]
This means that b raised to the power of y is equal to x.
Where b is the base of the logarithm, x is the number that we are taking the logarithm of, and y is the result or the logarithm of x to the base b.
Hence, the general formula for logarithms is [tex]log_b(x)=y[/tex].
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Help me ASAP! Please
Answers
Answer:
i think the answer is b
Step-by-step explanation:
Answer:
b) is correct dear!
Step-by-step explanation:
see it carefully .... you will come to know ! *b* one is exactly right.....
Consider the expression.
2x (x + 3y) +5 (2x - 2)
How many terms does the expression have when simplified completely?
Answers
When given expression 2x (x + 3y) +5 (2x - 2) simplified completely then it would have 4 terms.
Consider given expression.
2x (x + 3y) +5 (2x - 2)
We simplify above expression.
2x (x + 3y) +5 (2x - 2)
= [(2x × x) + (2x × 3y)] + [(5 × 2x) - (5 × 2)] ......(distributive property)
= [2x² + (2 × 3)xy] + [(5×2)x - 10] ............(commutative property)
= (2x² + 6xy) + (10x - 10)
= 2x² + 6xy + 10x - 10
= 2x² + 10x + 6xy - 10 ...........(by commutative property of addition)
when given expression simplified completely then it would be,
2x (x + 3y) +5 (2x - 2) = 2x² + 10x + 6xy - 10
The number of terms in an expression 2x² + 10x + 6xy - 10 are 4
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A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 4.5, 6.75, 10.125, 15.1875.
What is the multiplicative rate of change of the exponential function represented in the table?
1.5
2.25
3.0
4.5
Answers
The multiplicative rate of change of the exponential function represented in the table is 1.5.
Option A is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the multiplicative rate of change of the exponential function represented in the table, we need to look at the ratio of consecutive
y-values.
The first ratio is:
6.75 / 4.5 = 1.5
The second ratio is:
10.125 / 6.75 = 1.5
The third ratio is:
15.1875 / 10.125 = 1.5
Since all three ratios are the same, we can conclude that the function is exponential with a constant multiplicative rate of change equal to 1.5.
Therefore,
The multiplicative rate of change of the exponential function represented in the table is 1.5.
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Help Or Else I wiLl TrOw YoU INto A ToLiet
Answers
Answer:
n o
Step-by-step explanation:
I refuse to help. punish me and put me in the toilet
jk lol
Answer:
i throw u in a toilet
Step-by-step explanation:
now u in a toilet
help pls fast it is urgent
Answers
Answer:
The volume formula is pi r^2h because it is similar to the formula to the area of a circle with an extra addition of the height variable, since a cylinder is just a circle with depth. The surface area formula is 2pirh +2pi r^2 because it measures the area of both circles as well as the depth. This formula is similar to the circumference formula of a circle.
Step-by-step explanation:
Mark me brainliest pls
Write 63/90 and 30/42 as fraction In simplest form then determine whether the ratio form a proportion
Answers
Answer:
7/10 and 5/7 the ratio does not form a proportion
14)
Which statement best describes the solutions of a two-variable equation?
A)
The ordered pairs must lie near the graphed equation.
B)
The ordered pairs must have x = 0 for one coordinate.
C)
The ordered pairs must lie on the graphed equation.
D)
The ordered pairs must have y = 0 for one coordinate.
PLEASE HELP!!
Answers
Answer:
Solution of a System. In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true. In other words, it is where the two graphs intersect, what they have in common. So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system.
Answer: A) The ordered pairs must lie near the graphed equation
A jacket normally sells for $27.50.it is on sale for 20%what is the new price
Answers
Answer:
$22
Step-by-step explanation:
27.50 20 present off so you get 5.5 substract and u get 22
Water guns are on sale this week. If
this water gun is $8.50, how much
will it cost after the 30% discount
and an 8% sales tax.
Answers
Answer:
$6.43
Step-by-step explanation:
8.50 times 0.30=2.55
8.50-2.55=5.95
5.95 times 0.08=0.476
0.476+5.95=6.426 rounded would be $6.43
Which of the following is a perfect square trinomial?
(A) 5x2 - 5x + 1
(B) 5x2 - 10x + 5
(C) 10x2 - 20x + 5
(D) 25x2 - 20x + 3
(E) 25x2 + 20x + 4
Answers
Answer:
B is the perfect square
Step-by-step explanation:
please answer<3 its simple but ion know how-
Answers
Answer:
y= 4/3x + 2
Step-by-step explanation:
The slope is rise/run. It would be 8/6. Once you simplify, it's 4/3. the y intercept is at 2. Put it together, and there's your answer.
hope this helps!!
A Triangle has two sides of length 16.4 and 10.2. What compound inequality describes the possible length for the 3rd side
Answers
Answer:
6.2 < x < 26.6
Step-by-step explanation:
The length of a side of a triangle is between the difference and the sum of the lengths of the other two sides.
16.4 - 10.2 = 6.2
16.4 + 10.2 = 26.6
Let x = length of third side.
6.2 < x < 26.6
Which simplified ratio correctly compares 5 meters to 100 centimeters?
A. 5:1
B. 20:1
C. 1:5
D. 1:20
Answers
The simplified ratio that compares 5 meters to 100 centimeters is 5: 1 .Option A
How to determine the ratioRatio is simply described as the non equal comparison of two numbers, variables, or events.
It shows how many times a number or variable contains another.
The comparison is also based on size.
From the information given, we have;
5 meter to 100 centimeters
It is important to note that;
100 centimeters = 1 meters
Also, 1 meter= 100 centimeters
5 meters = x centimeters
cross multiply
x = 100(5)
Multiply the values
x = 500 centimeters
Then,
5 meters = 1 meter
Hence, the ratio is 5:1
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What is the length of the missing leg (in millimeters)
Answers
Answer:6
Step-by-step explanation:
Suppose that $a$ is a multiple of $3$ and $b$ is a multiple of $6$. Which of the following statements must be true? A. $b$ is a multiple of $3$. B. $a-b$ is a multiple of $3$. C. $a-b$ is a multiple of $6$. D. $a-b$ is a multiple of $2$. List the choices in your answer separated by commas. For example, if you think they are all true, then answer "A,B,C,D".
Answers
The statements that are true, based on the multiples of 3 and 6 are:
A. $b$ is a multiple of $3$. B. $a-b$ is a multiple of $3$. How do multiples relate ?When a number is a multiple of a smaller number, then all the multiples of that larger number, will be the multiples of the smaller number.
This means that all the multiples of 6 ( including b ) will be multiples of 3 as well because 6 is a multiple of 3.
It is also interesting to note that the difference between the multiples of 3 are also multiples of 3. This means that a - b will result in a number that is a multiple of 3.
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