Answers
As according to the mathematical acronym SOH CAH TOA (Sin Opposite Hypotenuse, Cos Adjacent Hypotenuse, Tan Opposite Adjacent), the correct answer would be the first choice, [tex] \frac{12}{5} [/tex].
The reason behind this is because the tangent value of an angle is always the length value opposite of given angle over the value adjacent (or right next to) the given angle.
In this case, the question is asking for Tan D. The side value opposite of angle D would be 12, and the length value that is adjacent to angle D is 5.
Therefore, the value of tan D would be [tex] \frac{12}{5} [/tex].
Hope this helps and I hope you have a marvelous day! :)
The value of tan D would be as follows:
[tex]\frac{12}{5}[/tex]Find the value of TanGiven that,
A right-angled triangle EFD,
As we know,
Tan = Opposite sides' length/adjacent sides' length
So,
it is given that,
The length of the opposite side = 12
Adjacent Side's length = 5
∵ The value of Tan D [tex]= 12/5[/tex]
Thus, the above-mentioned answer is correct.
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Related Questions
what is the sum of
2(5a-4a)+6a
Answers
5a - 4a = a
Then you would multiply 2 by a, which would equal 2a.
Finally, combine all like terms (all terms with a), to get 8a. (2a + 6a = 8a)
Hope this helps!
We need to open the brackets and distribute the 2
However, we can see that both the terms within the parenthesis are like terms
5a - 4a = 1a or a
2(1a) + 6a
2a + 6a We can combine the like terms
= 8a
Suppose a population of 175 crayfish doubles in size every month. the function f(x) = 175(2x) gives the population after x months. how many crayfish will there be after 1 year?
Answers
We have then:
f (x) = 175 * (2 ^ x)
Then, you should know that 1 year contains 12 months.
So we have that for x = 12:
f (12) = 175 * (2 ^ 12)
f (12) = 716800
Answer:
there will be 716800 crayfishes after 1 year
Simplify these algebraic expressions: 12x + 3 − 4x + 7, 8 − 7x − 13 + 2x, −3x − 18 + 5x − 2
Answers
8-7x-13+2x=-5-5x
-3x-18+5x-2=-16x-2
The simplified expressions are:
12x + 3 − 4x + 7 = 8x + 10
8 − 7x − 13 + 2x = −5x − 5
−3x − 18 + 5x − 2 = 2x − 20
What is an expression?A term is a single mathematical phrase. It might consist of only one variable—a letter—one number—positive or negative—or several variables multiplied but never added or subtracted. A number is placed in front of some nouns that have variables. Coefficients are numbers that come before phrases.
To simplify each expression, we combine like terms:
Expression 1:
12x + 3 − 4x + 7 = (12x − 4x) + (3 + 7)
12x + 3 − 4x + 7 = 8x + 10
Expression 2:
8 − 7x − 13 + 2x = (−7x + 2x) + (8 − 13) = −5x − 5
Expression 3:
−3x − 18 + 5x − 2 = (−3x + 5x) + (−18 − 2) = 2x − 20.
Therefore, the simplified expressions are:
12x + 3 − 4x + 7 = 8x + 10
8 − 7x − 13 + 2x = −5x − 5
−3x − 18 + 5x − 2 = 2x − 20
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A tessellation is a (blank) patterns of figures?
reflecting
repeating
symmetrical,
Answers
Let $G$ denote the centroid of triangle $ABC$. If triangle $ABG$ is equilateral with side length 2, then determine the perimeter of triangle $ABC$. 99 points! for right answer!
Answers
You are trying to find the perimeter of triangle ABC. Each side is 2. Since there are 3 sides on a triangle, multiply 2 by 3 to get 6. You do not need the centroid for this problem.
I hope this helps!
What are the values of a and b in the equation (4x^a)^b = 256/x^8
Answers
(4x^-2)^4
= 4^4 x^-8
= 4^4 / x^8
= 256/x^8
Answer:
The value of a is -2 and the value of b is 4.
Step-by-step explanation:
Given expression is,
[tex](4x^a)^b = \frac{256}{x^8}[/tex]
Using [tex](ab)^m=a^m.b^n[/tex] on left side,
[tex]4^b(x)^{ab}=\frac{4^4}{x^8}[/tex] ( [tex]4^4 = 256[/tex] )
Using [tex]a^m=\frac{1}{a^{-m}}[/tex],
[tex]4^b(x)^{ab}=4^4 (x)^{-8}[/tex]
By comparing both sides,
We get,
b = 4 and ab = -8
⇒ a = -2
Hence, the value of a is -2 and the value of b is 4.
Im learning Polynomials and we are learning the strategy grouping, can anyone please explain how to group polynomials and maybe give an example :) greatly appreciated
Answers
Ex
5(4x+1)10(4x+1)
(5+10)(4x+1)
Example
x^2 +2x +3x +6
(x^2 +2x) +(3x +6) . . . . parentheses added to group pairs of terms
x(x +2) +3(x +2) . . . . . . common factor pulled from the terms of each group
(x +3)(x +2) . . . . . . . . . common factor removed to give factored result
What would be the side length of the smallest square plate on which a 40-cm chopstick can fit along a diagonal without any overhang? (Correct answer will get reward)
Answers
The side length of the smallest square plate required to fit a 40-cm chopstick along its diagonal without any overhang is approximately 28.284 cm.
To find the side length of the smallest square plate in which a 40-cm chopstick can fit along a diagonal without any overhang, we can use the Pythagorean theorem. The diagonal of a square is the hypotenuse of a right-angled triangle formed by two sides of the square. Since the sides of the square are equal, if one side is s, then the diagonal d can be calculated using the equation d = s√2, where √2 is the square root of 2 (approximately 1.4142).
Therefore, to fit a 40-cm chopstick along the diagonal:
Let d = 40 cm.
Use the equation s√2 = 40 cm to find s, the side of the square.
s = 40 cm / √2.
s ≈ 28.284 cm when rounded to three decimal places.
So, the side length of the smallest square plate on which a 40-cm chopstick can fit along a diagonal without any overhang is approximately 28.284 cm.
someone please help :(
Answers
Because 5/4 = 1.25
tan (51) = 1.235
tan (45) = 1
tan (60) = 1.732
tan (57) = 1.5399
The closest to 1.25 is tan (51)
Hope this helps :)
Farmer Fran has some cows and some hens. Between them, they have 52 legs and 38 eyes. How many hens does Farmer Fran have? How many cows does Farmer Fran have?
Answers
Number of hens: h=?
Total number of legs: 4c+2h=52 (1)
Total number of eyes: 2c+2h=38 (2)
Subtracting equations (1) and (2)
4c+2h-(2c+2h)=52-38
4c+2h-2c-2h=14
2c=14
2c/2=14/2
c=7
Replacing c=7 in equation (2)
2(7)+2h=38
14+2h=38
14+2h-14=38-14
2h=24
2h/2=24/2
h=12
Answers:
Farmer Fran has 12 hens
Farmer Fran has 7 cows
Sara is 8 years old and her mom is 34 years old. In how many years will Sara be twice as young as her mom will be?
If x is the number of years, then the equation is ______
The answer is _____
Answers
Mom = 34 years old
Let the number of years be x when Sara will be twice as young as her mom will be.
2(8 + x) = 34 + x
16 + 2x = 34 + x
2x - x = 34 - 16
x = 18
Answer:
If x is the number of years, then the equation is 2(8 + x) = 34 + x
The answer is 18
How many solutions does the system have?
{y = −2x + 2
y = x^2 − 3x
Enter your answer in the box.
________
Answers
Answer:
The system has two solution
Step-by-step explanation:
we have
[tex]y=-2x+2[/tex] ----> equation A
[tex]y=x^{2}-3x[/tex] ----> equation B
Solve the system of equations by graphing
Remember that
The solution of the system of equations is the intersection point both graphs
There are two point of intersection between the two graphs
see the attached figure
therefore
The system has two solution
Find the value of z.
Answers
Which statements correctly use the properties of exponents to simplify? Check all that apply.
(xy2)2 = x2y4
x3x3 = x6
3y–2 =
2(x2)3 = 8x6
–x2(–x3) = –x6
Answers
Answer:
1 2 and 3
Step-by-step explanation:
In the Citizens United case the Supreme Court interpreted political donations as __________.
Answers
A) only allowable for low-income candidates
B) a restriction on equal access to democracy
C) a form of speech protected by the Constitution
D) an unconstitutional influence over policymakers
Answer: C) a form of speech protected by the Constitution
Page Reference: 33 Learning
Objective: 2.2 Topic/A-head: Political System:
Links Between Wealth and Power
Skill Level: Understand the Concepts
Find the volume of the box. use the formula v = lwh. rectangular box with three sides visible, having width, length, and height of x plus two, two x minus one, and three x plus one respectively
a. 6x3 – 2
b. 6x2 – 13x2 – 3x – 2
c. 6x2– x – 1
d. 6x3 + 11x2 – 3x – 2
Answers
Multiplying these all together will result in
6x^3+11x^2−3x−2
Making the answer option D.
The expression for the volume of the box is given by 6x³+11x²-3x-2
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Given that, rectangular box with three sides visible, having width, length, and height of x plus two, two x minus one, and three x plus one
Height = x+2
Width = 2x+1
Length = 3x+1
Volume = HxLxW
Volume = (x+2)(2x+1)(3x+1)
= 2x²-x+4x-2(3x+1)
= (2x²+3x-2)(3x+1)
= 6x³+11x²-3x-2
Hence, The expression for the volume of the box is given by 6x³+11x²-3x-2
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12pts BRAINLIEST, THX, AND RATE AVAILABLE TO CORRECT ANSWER.
PLEASE HELP ME ON THIS
****RANDOM ANSWERS WILL BE REPORTED****
Answers
what effect does the value of the coefficient of x^2 have on the graph?
Answers
ex.)
for the graph of x^2, 5 of your data points will be (0,0),(1,1),(2,4),(3,9),(4,16)
when you multiply by a coefficient,
ex.)
for the graph of ax^2, a being a stand in for the coefficient, 5 of your data points will be (0,a×0), (1,a×1), (2,a×4), (3, a×9), (4,a×16)
if your coefficient,a, is equal to 4 your data points become: (0,0),(1,4),(2,8),(3,36),(4,64)
if you graph it out you will notice that your graph rises faster and faster incompariaon to the original.
hope this helps good luck
1. _____ is exchanging one good for another without using money.
Credit
Barter
Negotiating
Brokering
2. A _____ has to be paid in full on the due date. (1 point)
Charge card
Credit card
Debit card
Check card
3. The _____ is the original amount owed on a loan. (1 point)
Loan due
Interest
Available balance
Principal
4. APR is used to calculate the _____. (1 point)
Loan amount
Interest accrued
Principal
Future earnings,
Answers
The answers are:
1. Barter
2. charge card
3. principal
4. interest accured
Find the area of a triangle with a base length of 3 units and a height of 4 units.
Answers
So these are given so we plug them in
A=1/2(3)(4)
A=6 units
To find the area of a triangle, we need to multiply the base and the height of the triangle and divide the product by 2.
So, the expression we would use to solve this is (3 * 4) / 2.
Let's solve:
(3 * 4) / 2
= 12 / 2
= 6
So, the area of the triangle is 6 units squared.
Hope this helps!
If the intquantity and decprice variables contain the numbers 3 and 15.75, respectively, the condition if intquantity > 0 andalso intquantity < 10 orelse decprice > 20 will evaluate to
Answers
expression evaluates to
(3>0 and 15.75<10 or 15.75>20)
which, using priority of operations, "and" has a higher precedence than "or",
=>
( (3>0 and 15.75<10) or 15.75>20)
=>
( false or false )
=>
false
Find the equation for the line that passes through the point (−1,2), and that is parallel to the line with the equation 3/2x−2y=2.
Answers
.. (3/2)(x +1) -2(y -2) = 0 . . . . . the given line translated to the point (-1, 2)
.. 3(x +1) -4(y -2) = 0 . . . . . . . . multiply by 2
.. 3x +3 -4y +8 = 0 . . . . . . . . . eliminate parentheses
.. 3x -4y = -11 . . . . . . . . . . . . . . put in standard form (not necessary, but prettier)
△ABC is similar to △RST . In addition, m∠C=76° and m∠S=3(m∠A) . What is m∠A ? Enter your answer in the box.
Answers
Answer:
∠A = 26°
Explanation:
If two angles of a triangle have measures equal to the measures of two angles of another triangle, then the triangles are similar. In case of similar triangle, corresponding angles are congruent.
Angle ∠C = 76
So, ∠T = 76 because of corresponding angle.
Given that,
m∠S=3(m∠A)
We know that,
∠S ≅ ∠B
That means ∠B = 3 (∠A)
Sum of angles in a triangle = 180°
∠A + ∠B + ∠C = 180°
∠A + 3∠A + 76° = 180°
4∠A = 180° - 76°
4∠A = 104°
∠A = [tex] \frac{104}{4} [/tex]
∠A = 26°
Final answer.
Find the product by using the FOIL method
(11z-5y)(3z+2y)
Plz help!
Answers
ASAP Plz what is the value of x? Plz no joking around this is from quiz 4.09: Special Right Triangles 2
Answers
Firstly, let's find RT so that we can solve the top triangle.
We could actually use 3 methods to find this side: 1) trig to find RT
2) trig to find ST, then Pythagorean Theorem to determine RT
3) use the special 30-60-90 right triangle rule ... hmm, I'm going with the last because it's easiest ;)
For 30-60-90 triangles, the sides are always as follows: smallest side (opposite the 30) is s, the middle side is sSR3, and the hypotenuse is 2×s
Thus, since we have the side opposite 60, it is = sSR3, so:
[tex]s \sqrt{3} = 2 \sqrt{3} \\ s \sqrt{3} \div \sqrt{3} = 2 \sqrt{3} \div \sqrt{3} \\ s = 2[/tex]
So now, the hypotenuse (RT) = 2s = 2(2) = 4
Secondly, we are looking at the other type of special right triangle, the 45-45-90:
The side opposite the 45s are s (remember side lengths are equal whose opposite angles are equal); and the hypotenuse is always
[tex]s \sqrt{2} [/tex]
we only need QR, which is s, which is also = RT
So the answer is:
QR = x = 4
x = 4 IS THE FINAL ANSWER!!!
[ i hope by my explanations you understand how better to do special right triangles in the future] :-D
Answer: The correct answer is 4
Step-by-step explanation:
Here is proof from the quiz
Find the lengths of x and y.
Answers
we know that
in the triangle ABD
applying the Pythagorean theorem
y²=3³+4²---------> y²=25------------> y=5 units
tan alfa=4/3-----------> equation 1
in the triangle BDC
tan alfa=DC/BD----------> tan alfa=(x-3)/4------------> equation 2
matching equations 1 and 2
4/3=(x-3)/4---------> 4*4=3*(x-3)--------> 16=3x-9---------> 3x=25----> x=25/3 units
the answer is
x=25/3 units
y=5 units
What’s the value of x worth 15 points!
Answers
Opposite angles of a parallelogram are equal. You get a hint of that from the 2 acute angles which are both 2x.
Add 15 to both sides.
3x = 2x + 24 + 15
3x = 2x + 39 Subtract 2x from both sides.
3x - 2x = 39
x = 39
Hi there! :)
Answer:
x=39
*The answer must have a positive sign.*
Step-by-step explanation:
When the 2 acute angles in which means you had to used 2x from both sides of an equation.
First, only had to do is, add by 15 from both sides of an equation.
[tex]3x-15+15=2x+24+15[/tex]
Then, you add by the numbers from left to right.
[tex]24+15=39[/tex]
[tex]3x=2x+39[/tex]
Next, you subtract by 2x from both sides of an equation.
[tex]3x-2x=2x+39-2x[/tex]
Finally, you simplify.
[tex]x=39[/tex]
Final answer is x=39
Hope this helps!
Thanks!
Have a nice day! :)
:D
-Charlie
What is the term for a Wage and Tax statement and what is it’s purpose?
Answers
2. Which is equal to log6?
log26
log62
log610
log106,
Answers
Which of the following points lies on the graph
Answers
(-3, 21)
y = x^2-2x+6
21 = (-3)^2-2(-3)+6
21=9+6+6
21=21
That works. If you are not 100% confident with your arithmetic, you can plug in the other points.