Therefore , the solution ot the given problem of trigonometry comes out to be Option (A) and (F) are the correct answers since sin = BC/AC = cos(90 - ∅), and cos = AB/AC = sin(90 - ∅).
Describe the trigonometric function.The right triangle's angle serves as the domain input value for the six basic trigonometric operations, which produce a range of numbers as their results.Understanding the trigonometric functions of the four quadrants' graphs, domains, differentiation, and integration will be achievable.
Here,
Sinx = perp./hypo.
Cosx equals base/hypo.
So,
Sin = B/C
A= cos(90 -∅ ) = BC/AC
So,
Cos(90 -∅ ) = Sin(BC/AC)
And,
cos = AC/AB
AB/AC = sin(90 -∅ )
So,
cos AB/AC = sin (90 -∅ )
Therefore , the solution ot the given problem of trigonometry comes out to be Option (A) and (F) are the correct answers since sin = BC/AC = cos(90 -∅ ), and cos = AB/AC = sin(90 - ∅).
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Here is a square pyramid and its net.
The lateral faces are congruent triangles. The base (shaded) is a square.
(All lengths are in centimeters.)
A. Find the area of the base of the pyramid.
B. Find the area of one lateral face of the pyramid
C. Use the net to find the lateral surface area of the pyramid. The base is not included.
D. Use the net to find the total surface area of the pyramid.
Answer:
A. 9 [tex]cm^{2}[/tex]
B. 9.6 [tex]cm^{2}[/tex]
C. 38.4 [tex]cm^{2}[/tex]
D. 47.4 [tex]cm^{2}[/tex]
Step-by-step explanation:
A. Area of the base of the pyramid = length x length
= 3 x 3
= 9 [tex]cm^{2}[/tex]
B. Area of one lateral face of the pyramid = area of a triangle
= [tex]\frac{1}{2}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] x 3 x 6.4
= 9.6 [tex]cm^{2}[/tex]
Area of one lateral face of the pyramid = 9.6 [tex]cm^{2}[/tex]
C. The lateral surface area of the pyramid = 4 x area of one lateral face
= 4 x 9.6
= 38.4
The lateral surface area of the pyramid = 38.4 [tex]cm^{2}[/tex]
D. The total surface area of the pyramid = lateral surface area of the pyramid + area of the base
= 38.4 + 9
= 47.4
The total surface area of the pyramid = 47.4 [tex]cm^{2}[/tex]
Are 2 sides of an isosceles triangle?
Yes, the lengths of the two sides of an isosceles triangle are equal.
An isosceles triangle is a type of triangle that has two sides that are equal in length. The other side of the triangle can be either longer or shorter than the two equal sides. The two equal sides are called the legs, and the other side is called the base. The angles opposite the two equal sides are also equal in measure. Because of this, the two equal sides create an angle bisector that divides the base into two equal parts. This angle bisector forms two angles of equal measure as well. Thus, the two equal sides of an isosceles triangle are a defining feature of the shape.
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URGENT PLS!!
The equation of the line passing through the points (2,1) and (-6, -5) is given by ax+by=10. What is the value of a?
Answer:
a=15
Step-by-step explanation:
find equation of the line passing through (4,8) and parallel to the line 3x+y=17( Please give workout)
Answer:
y = -3x +20
Step-by-step explanation:
Equation of line: y =mx + b
Where m is the slope and b is the y-intercept.
3x + y = 17
Write the above equation in y = mx +b form.
y = -3x + 17
m = -3
Parallel lines have same slope.
So, slope of the required line is (-3).
y = -3x + b
This line is passing through (4,8). Substitute in the above equation and find the value of 'b'.
8 = -3*4 + b
8 = -12 + b
8 + 12 = b
b = 20
Equation of the line:
[tex]\sf \boxed{ y = -3x + 20}[/tex]
Find the H.C.F of following expressions:2x²(x+2)(x-2)and4x(x+2)(x-4)
Given:
The given expressions are [tex]2x^2(x+2)(x-2)[/tex] and [tex]4x(x+2)(x-4)[/tex].
To find:
The H.C.F. of the given expressions.
Solution:
The two expressions are:
[tex]2x^2(x+2)(x-2)[/tex]
[tex]4x(x+2)(x-4)[/tex]
It is clear that 2x and (x+2) are the common factors. So, we need to multiply these common factors to get the H.C.F. of the given expressions.
[tex]H.C.F.=2x(x+2)[/tex]
Therefore, the H.C.F of the given expressions is [tex]2x(x+2)[/tex].
What is the value of the expression 4x 3 x )+ 5x x 2 for x 3?
The value of the given expression 4x(3-x)+5x(x-2) when x = -3 is 3.
What are expressions?A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations.
A number is 6 more than half of the other number, which is x.
This statement is represented by the mathematical equation x/2 + 6.
So, we have the expression:
4x(3-x)+5x(x-2)
Now, the value of the expression when x = -3.
Insert values and calculate as follows:
4x(3-x)+5x(x-2)
4(-3)(3-(-3))+5(-3)((-3)-2)
-12(6)-15(-5)
-72 + 75
3
Therefore, the value of the given expression 4x(3-x)+5x(x-2) when x = -3 is 3.
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Correct question:
What is the value of the expression 4x(3-x)+5x(x-2) for x=(-3)?
pls help with this graph what is the equation for it pls get it right and thanks :)
Answer:
y=-4x+40
Step-by-step explanation:
I graphed it. Also, the y-intercept was obviously 40 and the slop was rise/run which is 40/10 which is 4 but the graph is negative so -4
•50 POINTS• don’t have to explain.
Answer: 80 degrees
Step-by-step explanation:
Answer:
the remaining angle of triangle is 80° by the sum of triangle is 180.
Write an exponential function f so that the slope of a line from the point (0, f(0)) to the point (2, f(2)) is equal to 12.
The exponential function f so that the slope of a line from the point (0, f(0)) to the point (2, f(2)) is equal to 12 is defined as follows:
f(x) = 5^x.
How to define the exponential function?The general format of an exponential function is given as follows:
y = ab^x.
In which:
a is the initial value.b is the rate of change.The slope of a line, given two points, is given by the division of the change in the output by the change in the input of these two points.
Considering that the slope of points (0, f(0)) and (2, f(2)) is equals to 12, we have that:
[f(2) - f(0)]/(2 - 0) = 12
f(2) - f(0) = 24.
One case that satisfies this involves these two following points.
(0,1) -> f(0) = 1.(2,25) -> f(2) = 25.Hence the parameter a is given as follows:
a = 1.
When x = 2, y = 25, meaning that the parameter b is calculated as follows:
b² = 25
b = 5.
Hence the exponential function is:
f(x) = 5^x.
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the sum of 2 times a number and 3 times another number is 4. The first number minus the second number is -3. what are the numbers?
Answer:
A=-1, B=2
Step-by-step explanation:
2a + 3b=4 equation 1
a-b=-3 equation 2
a=-3+b isolate a in equation 2
2(-3+b) + 3b=4. Substitute value of a in equation 2 (-3+b) into a value of equ 1
-6+2b+3b=4
5b=10
b=2
solve for a:
a-b=-3
a-(2)=-3
a-2=-3
a=-1
Can someone help with this??
Answer: x= 9.2
Scale Factor is 2.5
Step-by-step explanation:
1. Divide 17.5 by 7 to find scale factor
2. So 17.5/7=2.5
3. Divide 23 by 2.5 to find x
4. So 23/2.5=9.2
Answer:
Scale Factor: 2.5
x = 9.2
Step-by-step explanation:
So, the simple way to find this is by first figuring how much the new triangle has shrunk. Since they gave you both the bottom numbers, all you have to do is divide 17.5 by 7 to give you the scale factor of 2.5. You will use this scale factor to divide the 23 and get your answer of 9.2.
I hope this helps!
Simplify using appropriate property: 5/7 X 1/5 + 5/7 X 3/5Simplify using appropriate property:
Answer:
4/7
Step-by-step explanation:
5/7 x (1/5+3/5) = 5/7 x 4/5 = 4/7
What are 2 examples of composite number?
Composite numbers are whole numbers that contain more than two elements.. Examples of composite numbers include 36 and 42. These numbers are divisible by more than just 1 and themselves. 36 is divisible by 1, 2, 3, 4, 6, 9, 12, and 18. 42 is divisible by 1, 2, 3, 6, 7, 14, and 21.
Example 1: To find the factors of 36
Step 1: Start by dividing 36 by 2, which gives us 18.
Step 2: Divide 18 by 2, which gives us 9.
Step 3: Divide 9 by 3, which gives us 3.
Step 4: Divide 3 by 3 which gives us 1.
Step 5: The factors of 36 are 1, 2, 3, 4, 6, 9, 12, and 18.
Example 2: To find the factors of 42
Step 1: Start by dividing 42 by 2, which gives us 21.
Step 2: Divide 21 by 3, which gives us 7.
Step 3: Divide 7 by 7 which gives us 1.
Step 4: The factors of 42 are 1, 2, 3, 6, 7, 14, and 21.
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You just got an order of 8 apples and you need to break them up accordingly:
25% of the apples should be baked into a pie
25% of the apples should be baked into a tart
37.5% of the apples will be used for juice
you may eat the remaining apples. of?
Answer:
⟟ got 12.5 remaining
Step-by-step explanation:
Just add all the percentages then subtract from 100
Under his cell phone plan, Gabriel pays a flat cost of $52.50 per month and $5 per gigabyte. He wants to keep his bill under $75 per month. Write and solve an inequality which can be used to determine 9, the number of gigabytes Gabriel can use while staying within his budget.
Line t passes through points (3, 11) and (8, 4). Line u passes through points (1, 4) and (8, 9). Are line t and line u parallel or perpendicular?
Answer:
The lines t and u are perpendicular.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-11)/(8-3)
m=-7/5
----------------------
m=(y2-y1)/(x2-x1)
m=(9-4)/(8-1)
m=5/7
Perpendicular lines have negative reciprocal slopes.
m<1=
m<2=
m<3=
Please help, no links please
Answer:
∠1 = 90° because the figure is a kite and the diagonals form 90° angles
∠2 = 90° - 27° = 63°
∠3 = ∠2 = 63°
Answer:
m<1 = 90 degrees
m<2 = 63 degrees
m<3 = 63 degrees
Step-by-step explanation: Angle 1 is a right angle, which is equal to 90 degrees. To find angle 2, you must know that a triangle's angles all add up to 180 degrees. You must realize that the angle below the 2 is 90 degrees since it is supplementary to angle 1. Now, you have to add the given angle of 27 degrees to 90 degrees and then subtract that sum from 180 degrees to get an answer of 63 degrees (27+90=117 --> 180-117=63). Angles 2 and 3 have the same value because they are basically symetrical to one another since both of their triangle's side lengths are equivalent.
A large rectangular box has a volume of 15. 75 cubic feet the box is 2. 5 feet long and 1. 5 feet wide what is the height of the box
A large rectangular box has a volume of 15. 75 cubic feet the box is 2. 5 feet long and 1. 5 feet wide. So the height of the box is 4.2 feet.
The formula to find the volume of a rectangular box is
V = lwh
where l is the length, w is the width, and h is the height.
Given that the volume of the box is 15.75 cubic feet, the length is 2.5 feet and the width is 1.5 feet, we can use the formula to find the height.
V = lwh
15.75 = 2.5 × 1.5 × h
h = 15.75/ (2.5 × 1.5)
h = 4.2
Therefore, the height of the box is h = 4.2 feet
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can someone help please ?
Answer:
A
Step-by-step explanation:
36 divided by 4 is 9 than you multiple that by 3 which is 27.
[Please help me on this- I will give you brainlist!!]
Write the terms in standard form. Then state the degree of the polynomial and the leading coefficient (LC).
For the polynomial 9, 3x², 8x; the degree is 2 and the leading coefficient is 3
What is an equation?An equation is used to show the relationship between numbers and variables.
Polynomial is an expression composed of variables, constants and exponents using mathematical operations such as addition, subtraction, multiplication and division
The degree is the highest exponent of variable for the polynomial. The polynomial with degree of 2 is known as a quadratic polynomial
Given the polynomial:
9, 3x², 8x
Writing in standard form is done by rearranging from highest exponent of variable to least. This is:
3x², 8x, 9
Hence the degree is 2 and the leading coefficient is 3
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Determina en cada caso, si la función corresponde a una función lineal o a una función afín. a. Y = -5x b. Y = -3x – 2 c. Y = 2x + 4 d. Y = 1x/4 – 2
Answer:
Sabemos que una función lineal es de la forma:
f(x) = m*x
Mientras que una funcion afin es de la forma:
g(x) = m*x + n
Entonces para reconocer si una función es lineal o afín, simplemente debemos ver si tenemos un término constante o no (un término constante es un término que no está siendo multiplicado por la variable x).
a) y = -5*x
No tenemos término constante, entonces es una función lineal.
b) y = -3*x - 2
Acá tenemos un término constante igual a -2, entonces esto es una función afín.
c) y = 2*x + 4
Acá tenemos un término constante igual a 4, entonces esto es una función afín.
d) y = (1/4)*x - 2
Acá tenemos un término constante igual a -2, entonces esto es una función afín.
Which of the following is not the same as positive 6?
|-6|
6 units to the left of 0 on a number line
+6
6
MARKING BRAINLIEST!! Use a reference angle to find the exact value of the sine, cosine, and tangent of each angle. -pi. (unit circle) -pi= -180 degrees btw.
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, a complete question is in the form:
Use a reference angle to find the exact value of the sine, cosine, and tangent of each angle. 260°
Solution:
There are four quadrants which divides into four equal parts. If θ is the angle:
If θ falls in the first quadrant, the reference angle = θ
If θ falls in the second quadrant, the reference angle = 180 - θ
If θ falls in the third quadrant, the reference angle = θ - 180
If θ falls in the fourth quadrant, the reference angle = 360 - θ
Given 260°, this falls in the third quadrant, hence the reference angle = 260 - 180 = 80°.
In the third quadrant, sine and cosine are negative while tangent is positive. Hence:
sin(260) = -sin(80) = -0.985
cos(260) = -cos(80) = -0.174
tan(260) = tan(80) = 5.67
somebody help please
Answer:
Step-by-step explanation:
because HA⊥HR, HR⊥DR, so HA ║ DR, then we know ∠DHR=∠ARH,
we konw, AR=HD, They have a common segment HR, as well as the same angle，so HRA≅RHD
If you were given the function y=4x-3 and you had to find the Range, given the Domain: (1,3,5,7)
which one would be correct?
1. (1,5,9,13)
2. (3,9,12,15)
3. (1,9,17,31)
4. (1,9,17,25)
Answer:
option 4
Step-by-step explanation:
y = 4x-3
y = 4(1)-3
y = 1
y = 4(3)-3
y = 9
y = 4(5)-3
y = 17
y = 4(7)-3
y = 25
What is the solution of the pair of equations y 0 and y =- 3?
The solution of the pair of equations y = 0 and y = -3 is y = -3/2.
The given pair of equations is:
y = 0
y = -3
We can solve this pair of equations using elimination. To do this, we first add the two equations together, which gives us:
y + y = 0 + (-3)
2y = -3
We then divide both sides by 2 to get the solution for y:
2y/2 = -3/2
y = -3/2
Therefore, the solution of the pair of equations y = 0 and y = -3 is y = -3/2.
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HELP !!!!!! select the reason why these triangles are similar. if they are not, select “not similar”
a. AA
b. SAS
c. SSS
d. not similar
The triangles are not similar
Which of the following are true statements about a variable? Select all that apply.
A.) The number in front of a letter in an expression
B.) A Symbol used to represent an unknown value
C.) Can be changed from one value to another
D.) Always has to be the letter x
Thank you for whoever answers this! It’s pretty easy but this is for anyone out there who has the same question!
Answer:
The answers are B ) A Symbol used to represent an unknown value and C ) Can be changed from one value to another
How many ways can a president, a vice-president and a secretary be chosen from 11 members of a club assuming that one person cannot hold more than one position
On solving the provided question, we can say that so, we apply permutation P(12,4) = 12!/ 8! = 11880
what is permutation?The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of.
so, we apply permutation
P(12,4) = 12!/ 8! = 11880
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Carnival A charges an entrance fee of $3.00 and $0.75 per ticket for the rides. Carnival B charges an entrance fee of $14.00 and $0.50 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival A and Carnival B to be the same?
A. 44
B. 36
C. 28
D. 48
show work if u can , thanks
Answer:
36
Step-by-step explanation:
The formulas are 3+. 75x and 14+. 5x. Plug them into a graphing calculator and find where the lines intersect. Or plug in each answer choice for x and see which one give you the same answer
Answer:
44
Step-by-step explanation:
i cant show work, but i got this same question right.