Which trigonometric ratios are correct for triangle
ABC? Select three options.
Answer:
Options (1), (3) and (4)
Step-by-step explanation:
From ΔABC given in the picture,
By Pythagoras theorem
Hypotenuse² = (Leg 1)² + (Leg 2)²
BC² = AB² + AC²
(18)² = 9² + AC²
AC = [tex]\sqrt{324-81}[/tex]
AC = [tex]9\sqrt{3}[/tex] cm
sin(C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{AB}{BC}[/tex]
= [tex]\frac{9\sqrt{3}}{18}[/tex]
sin(C) = [tex]\frac{\sqrt{3} }{2}[/tex]
sin(B) = [tex]\frac{AC}{BC}[/tex]
= [tex]\frac{9}{18}[/tex]
= [tex]\frac{1}{2}[/tex]
cos(B) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{9\sqrt{3}}{18}[/tex]
= [tex]\frac{\sqrt{3} }{2}[/tex]
tan(B) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{9}{9\sqrt{3} }[/tex]
= [tex]\frac{1}{\sqrt{3} }[/tex]
tan(C) = [tex]\frac{AB}{AC}[/tex]
= [tex]\frac{9\sqrt{3}}{9}[/tex]
= [tex]\sqrt{3}[/tex]
Therefore, Options (1), (3) and (4) are the correct options.
Answer:
Options (1), (3) and (4)
Step-by-step explanation:
From ΔABC given in the picture,
By Pythagoras theorem
Hypotenuse² = (Leg 1)² + (Leg 2)²
BC² = AB² + AC²
(18)² = 9² + AC²
AC =
AC = cm
sin(C) =
=
=
sin(C) =
sin(B) =
=
=
cos(B) =
=
=
tan(B) =
=
=
=
tan(C) =
=
=
Therefore, Options (1), (3) and (4) are the correct options.Step-by-step explanation:
The area of a rectangular pool is given by the trinomial 2y^2-y-3. What are the possible dimensions of the pool? Use factoring.
Answer:
(2y−3)(y+1) hope this helps!
PLEASE HELP ITS DUE IN 3 HOURSSS!!!
Answer:
the 3rd option because Imma fresh man bro
The measure of an angle is 72 degrees what is the measure of its conplementary angle
Answer:
18
Step-by-step explanation:
What is the area of the triangle?
9514 1404 393
Answer:
7 square units
Step-by-step explanation:
There are several ways the area of triangle EBD can be found.
find the lengths EB, BD, DE and use Heron's formula (messy due to roots of roots being involved).define point G at the lower left corner and subtract the areas of ∆DEG and BCD from trapezoid BCGE.figure the area from the coordinates of the vertices.use Pick's theorem and count the dots.We choose the latter.
__
Pick's theorem says the area of a polygon can be found as ...
A = i + b/2 -1
where i is the number of grid intersection points interior to the polygon, b is the number of grid points intersected by the border.
The attached figure shows the lines EB, BD, and DE intersect one point in addition to the vertices. So, b=4. A count of the red dots reveals 6 interior points (i=6). So, the area is ...
A = 6 + (4/2) -1 = 7
The area of ∆EBD is 7 square units.
Prove (triangle)ABC is congruent to (triangle) DEF using ASA
Answer/Step-by-step explanation:
Two triangles can be proven to be congruent to each other if two angles and an included side of one triangle is congruent to the corresponding two angles and included side of the other triangle.
Two angles (<C and <A) in ∆ABC, are congruent to two angles (<D and <F) in ∆DEF. Also, the included side (AC) in ∆ABC is congruent to the included side (DF) in ∆DEF.
Therefore, based on the Angle-Side-Angle Congruence Theorem, ∆ABC is congruent to ∆DEF.
Answer:
Answer/Step-by-step explanation:
Two triangles can be proven to be congruent to each other if two angles and an included side of one triangle is congruent to the corresponding two angles and included side of the other triangle.
Two angles (<C and <A) in ∆ABC, are congruent to two angles (<D and <F) in ∆DEF. Also, the included side (AC) in ∆ABC is congruent to the included side (DF) in ∆DEF.
Therefore, based on the Angle-Side-Angle Congruence Theorem, ∆ABC is congruent to ∆DEF.
Step-by-step explanation:
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
Yes
Step-by-step explanation:
(3, 2) is a solution to the given system of linear equations.
x - 8y = 3 - 8*2 = 3 - 16 = - 13
16x - 16y = 16(x - y) = 16( 3 - 2) = 16*1 = 16
Plzz help me
A.36
B.48
C.144
D.288
Answer:
D.288
Step-by-step explanation:
6×4×12
Multiply 6 and 4 to get 24.
24×12
Multiply 24 and 12 to get 288.
288
If it takes the pendulum 1.5 seconds to move back and forth once,the length of the pendulum is approximately what feet?
Answer:
Suppose that it takes a simple pendulum 1.2 seconds to swing from its leftmost point to its ... pendulum to complete one full back-and-forth motion – from its rightmost point back to its ... A pendulum with a string of length 2 m has a period of about 2.8 s. ... A pendulum with a period of 1.8 s on Earth is moved to another planet.
Step-by-step explanation:
y=4x+5 cuando x=9
Porfavor es para hoy
Answer:
y = 41
Step-by-step explanation:
y=4x+5 cuando x=9
y=4*9+5
y=36+5
y=41
Y=-1|x-2|+1 how to solve
Answer:
if x ≥ 2, then y = x - 1
if x < 2, then y = -x + 3
Step-by-step explanation:
y = 1* |x - 2| + 1
y = |x-2| + 1
*** The rule on absolute value: |a| =a, if a ≥ 0; |a| = -a, if a < 0
If x-2 ≥ 0, then |x-2| = x-2, so y = (x - 2) + 1 = x - 1; y = x - 1
So if x ≥ 2, then y = x - 1
If x-2 < 0, then |x-2| = -(x-2) = -x + 2, so y = {-x + 2} + 1 = -x + 3; y = -x + 3
So if x < 2, then y = -x + 3
Um... anyone know this?
Answer:
show more picture pls!
Step-by-step explanation:
Factorise
15 a^3 b - 35ab^3
Answer:
15 a^3 b - 35ab^3
taking common
5ab(3a²-7b²)
Answer:
[tex] \huge \boxed{ \boxed{ \red{3ab(5 {a}^{2} - 7 {b}^{2} )}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:factoringtips and formulas:therefore are many ways to factor. In this question to factor we just need to figure out GCF of the following expressionfactor out the GCFgiven:15a³b-35ab³let's solve:rewrite 15a³b as 3×5×a×a×a×brewrite -35ab³ as -1×7×5×a×b×b×btherefore the GCF of the expression is 5ablet's factor out 5ab:5ab(3a²-7b²)and
we are done
Can someone please help meeeee
Answer:
53
Step-by-step explanation:
Complementary angles are summed up to be 90 degrees. If we already know that one if the angles is 37, all we need to do is subtract 37 from 90.
90-37 = 53
Hope this helps.
A sum amounted naira 2,590
at 10% Per annum for the
Period of 4 Years. Find the sum
Answer:
1,769
Step-by-step explanation:
The computation of the sum is shown below:
Future value = Present value × (1 + rate of interest)^number of years
2,590 = Present value × (1 + 0.10)^4
2,590 = Present value × 1.10^4
So, the present value is
= 2,590 ÷ 1.10^4
= 2,590 ÷ 1.4641
= 1,769
Evaluate 150 - ( 2 +x)^ 3 when x - 2
Answer:
86
Step-by-step explanation:
(2+2=4) 4 to the 3rd power is 64. 150 minus 64 is 86
Geometry
please help if you can!
picture included
Answer:
x = 12.5
Step-by-step explanation:
Based on the interesting chords theorem, we would have the following:
2*x = 5*5
2x = 25
Divide both sides by 2
x = 25/2
x = 12.5
In ΔUVW, the measure of ∠W=90°, VW = 29 feet, and UV = 69 feet. Find the measure of ∠U to the nearest degree.
Answer:
25
Step-by-step explanation:
Answer:
the answer is 25
Step-by-step explanation:
Help!!!!!! Please!!!!
Answer: 30u
Step-by-step explanation:
If GY is 6u long, x=6. (4x-2) is 4x6 which is 32, 32 - 2 = 30u long
(U = units)
Use the drawing tools from the correct answer on the graph.
Plot function g on the graph.
g(x) = 6, -7 < x < -2
2, -2 < x < 3
-2, 3 < x < 8
The function g(x) is a discrete function. It is continuous between -7 to -2, -2 to 3, and 3 to 8. And the open circle at -7, -2, 3, and 8. And the jump of the g(x) is 4 units after every interval.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
[tex]g(x) = \left\{\begin{matrix} \ \ \ \ 6, -7 < x < -2\\\ \ \ 2, -2 < x < 3\\-2, 3 < x < 8\\\end{matrix}\right.[/tex]
The function g(x) is a discrete function. It is continuous between -7 to -2, -2 to 3, and 3 to 8. And the open circle at -7, -2, 3, and 8.
And the jump of the g(x) is 4 units after every interval.
The graph is shown below.
More about the function link is given below.
https://brainly.com/question/5245372
Answer:
Step-by-step explanation:
I got 100% on this test
Can someone help meee
Answer:
A= 90 (right angel )
E= 90 - 67 = 23
I hope im right!!
using the commutative property, what would be the equivalent expression for 5+6= ?
QUICK ITS TIMED PLS HELP QUICK!!!!!
How is the product of 3 and -2 shown using integer tiles?
Answer:
The first one . +++ --
Step-by-step explanation:
The following dataset represents the math test scores for a class of 20 students. 90, 85, 95, 100, 100, 90, 100, 65, 100, 85, 80, 95, 80, 100, 85, 75, 100, 90, 90, 75 Would the mode be a good measure of central tendency for this dataset?
Answer:
yes
Step-by-step explanation:
The mode is the measure of the central tendency for the given data set. The mode represents the highest frequency of the number
Since in the given data set as we can see that the 100 would be appeared 6 times
So this represent that the mode is 100
So here the mode would be the good measure
what is the value? when r equals 0
Answer:
I do not know the answer to this question
Step-by-step explanation:
A new parking lot is being built for a medical office. The expression representing the number of parking spots in the new lot is StartFraction 15 x over 4 EndFraction minus 9, where x represents the number of parking spots in the first row. How many spots are in the parking lot if there are 32 parking spots in the first row?
79
88
111
129
Answer:
111
Step-by-step explanation:
A variable is a letter, for example x, y or z, that represents an unspecified number. To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.
Answer:
C
Step-by-step explanation:
Here is an expression: 3+ t2 1 Evaluate the expression when t is 2
Step-by-step explanation:
it would be 45 if you add it as 21 but you didn't put another symbol hope I can help :)
A person invested $540 in an account growing at a rate allowing the money to double
every 9 years. How much money would be in the account after 21 years, to the nearest
dollar?
Answer:2721
Step-by-step explanation:
9(7/4)-2= what in fraction form ? Can someone please help ?
Answer:
55/4
Step-by-step explanation:
You have a restaurant bill of $46.32. If you are taxed 7 1/2 and decide to tip your server 20%, how much is your total?
a.
$59.75
b.
$59.05
c.
$58.92
d.
$58.87
Answer:
The correct answer is B. $59.05.
Step-by-step explanation:
Given that I have a restaurant bill of $ 46.32, if I am taxed 7 1/2 and decide to tip my server 20%, to determine how much is my total, the following calculation must be performed:
1/2 = 0.5
46.32 + (46.32 x 0.075) + (46.32 x 0.2) = X
46.32 + 3.474 + 9.264 = X
49.79 + 9.26 = X
59.05 = X
Thus, the total amount that I must pay is $ 59.05.
Answer:
b
Step-by-step explanation:
trust