When the two sides and one angle of a triangle are given then we can find out the other two remaining angles by the law of sins.
Law of Sin :
In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.
According to the law of sine s
[tex]\frac{sina}{A}[/tex] = [tex]\frac{sin b}{B}[/tex]
[tex]\frac{sin90}{A}[/tex] = [tex]\frac{sin b}{B}[/tex] ( since it is given that one angle is 90 degrees)
[tex]\frac{1}{A}[/tex] =[tex]\frac{sin b }{B}[/tex]
sin b = B/A
b = [tex]sin^{-1}[/tex](B/A) where B and A are sides of the triangle and known values.
Remaining angle c = 180- [tex]sin^{-1}[/tex](B/A)
Therefore if one angle and at least two sides are given then we can find out the remaining by the law of sin
Learn more about triangles:
https://brainly.com/question/25215131
#SPJ4
Solve for x in the picture below
Answer:
x = 16
Step-by-step explanation:
The sum of the exterior angles of a triangle = 360°
Sum the exterior angles and equate to 360
5x + 12 + 10x - 37 + 9x + 1 = 360 , that is
24x - 24 = 360 ( add 24 to both sides )
24x = 384 ( divide both sides by 24 )
x = 16
Answer:
x = 15
Step-by-step explanation:
The sum of angles in a triangle is 180deg.
Let's mark the measures of the internal angles as A, B and C.
We know that
A + B + C = 180deg
180deg - A + 180deg - B + 180deg - C = (9x + 1)deg + (5x + 12)deg + (10x - 37)deg
3*180deg - (A + B + C) = (24x - 24)deg
540deg - 180deg = (24x - 24)deg
360deg = (24x - 24)deg
360 = 24x - 24
384 = 24x
15 = x
HELP FAST giving 5 stars
Answer:
The red is 1/3 and yellow is 1/4
Step-by-step explanation:
there are 3 colors and 1 of them is red so 1/3 same goes to the yellow 4 colors and is 1 yellow so 1/4
please help, no links, will give brainiest
Answer:
? = 20
Step-by-step explanation:
Since the figures are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{12}{15}[/tex] = [tex]\frac{?}{25}[/tex] ( cross- multiply )
15 ? = 300 ( divide both sides by 15 )
? = 20
Graph the functions y=4^x+4-4 and y=4^x describe the translation in words between these two functions starting from y=4^x to y=^x+4-4.
Answer:
The two graphs are on the same place.
The translation from the first one to the second one implies a shift upwards of 4 units, and then a shift downwards of 4 units, resulting in the starting position.
Please help me with this question!
Answer:
9 plates and mugs
He could buy 9.375
but you cant buy a portion of a plate so you buy 9
Write 2 19/20as a decimal.
20
X
Answer:
2.95
Step-by-step explanation:
edge 2020
p.s. pls mark brainliest, and have a good day! :)
2. What is the value of x?
Answer:
x = 5
Step-by-step explanation:
The total degrees in a 4 sided polygon is 360°
360° = 51° + 51° + 2(28x - 11°)
56x - 22° + 51° + 51° = 360°
56x = 280°
x = 5
pls help i need to pass algebra 2 THANK U SO MUCHHHH
Suppose 80 out of 400 cat owners surveyed said their cats have bad breath. What percent of the cat owners is this?
May someone please help me with this:)
Answer:
i think its 64
Step-by-step explanation:
questions 13 & 14 FAST PLS ITS A TEST! WILL GIVE BRAINLIEST!
What is the difference of (3/4x - 2/3) - (-5/6 + 2x) ?
-5/4x + 1/6
-5/4x - 1/6
-11/4x + 1/6
-11/4x - 1/6
Answer:
first option is correct
look at given picture
Evaluate the expression when a = 3.
2a =
Answer:
6
Step-by-step explanation:
replace a by 3
when a=3
2(3)=6
PLEASE ANSWER!!!
A. 4x+2=70+35
B. 4x+72=180
C.180=4x+107
D. 180=109x+2
Answer:
c
Step-by-step explanation:
its c , absolutely.............
Answer:
C * 180 = 4x + 107
Step-by-step explanation:If you add all sides by each other all you would do next is add the 4x to get your 180
Supplementary angles always add up to 180 degrees. TRUE OR FALSE
Answer:
yes this is true.
Supplementary angles always add up to 180°.
Answer:
True
Supplementary angles always add up to 180°
GIVING BRAINLIEST
Study the function below and then answer the
questions that follow.
f(x)=
-x-2 x<-2 -x^2 -2=0
Answer:
Step-by-step explanation:
Answer:
B then A
Step-by-step explanation:
Domain is B, range is A.
If the rectangular screen of a 40-inch monitor is 35 inches wide, what is the height of the monitor? Round to the nearest tenth.
Answer:
19.4
Step-by-step explanation:
We can solve this question using Pythagorean theorem
40^2 = h^2 + 35^2
1600= h^2+ 1225
1600-1225= h^2
375= h^2
h= √375
h = 19.4
Hence the height is 19.4
What is the equation of the line that passes through the point (4, 6) and is parallel to the line 2y - 4x = 1?
Select one:
O A. y = - 2x - 2
O B. y = 2x + 2
O C. y = x - 2
O D. y = 2x - 2
Answer:
D. y = 2x - 2
Step-by-step explanation:
1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:
[tex]2y-4x = 1\\2y = 4x+1\\y = 2x+\frac{1}{2}[/tex]
A line placed in slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. The [tex]m[/tex], or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.
2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.
We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.
Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex]. Since [tex]m[/tex] represents the slope of the line, substitute 2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:
[tex]y-6 = 2(x-4)\\y-6 = 2x-8\\y = 2x-2[/tex]
So, option D is correct.
Ursula picks carrots and radishes from her garden. She picks 4/1/4 pounds of carrots and 1/3/4 pounds of radishes.How many more pounds of carrots does she pick than radishes.
Answer:
2 1/4
Step-by-step explanation:
[tex]4\frac{1}{4} - 1\frac{3}{4}[/tex]
[tex]3\frac{1 - 3}{4}[/tex]
[tex]2\frac{4-3}{4}[/tex] = 21/4
The box plot represents this data set
20,25,30,38,40,42,45,50,65,70
what value does the letter E represent on the box plot of the data?
I------------| | |-----------|
A B C D E
Answer:
Step-by-step explanation:
In your diagram, E appears to be the MAXIMUM value of the data (70).
In circle P shown, the measure of angle P Q S is 20°.
Answer:
D 70
Step-by-step explanation:
Hello there!
A triangle formed inside of a circle using the diameter ( segment RQ ) is a right triangle
Meaning that the angle across from the hypotenuse ( diameter ) is a right angle ( = 90 degrees )
That being said we are given two angles (90 and 20 ) so we can easily calculate the measure of the missing angle
Remember the sum of the angles in a triangle is equal to 180 so we can find the missing angles by subtracting the given angles ( 90 and 20 in this case ) from 180
angle PRS = 180 - 90 - 20
180 - 90 = 90
90 - 20 = 70
Therefore your answer is D. 70
A local drive-in theatre sells entrance tickets for cars on weekend nights. At capacity, the drive-in can hold 72 cars. The function C(n) =25n represents the drive in's revenue on a weekend night, where n represents the number of cars. in this situation, what is the domain of c(n)?
Answer:
Domain is: 0 ≤ n ≤ 75 where n is an integer
Step-by-step explanation:
PLEASE help it’s due today at 10pm
what is the slope of the line below?
Answer:
1/2
Step-by-step explanation:
To find slope just compare two points on the graph and then put them into fraction form like so y/x
(2r^2t ^3)^2
4t^2
explain what you would do first to simplify the expression below.
Answer:
first expand the brackets
In this problem a,b,c and d are nonzero integers. If a/b is added to x, the sum is c/d. Which statement can be used to prove that x must be a rational number.
A= x=cb-ad/bd B= x=cb+ad/bd C= x=c-a/d-b D= x= c+a/d-b
Answer:
x=cb-ad/bd
Step-by-step explanation:
The statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd
Prove of rational numberGiven nonzero integers:
a, b, c, d
If a/b is added to xa/b + x
the sum is c/da/b + x = c/d
prove x to be a rational number
a/b + x = c/d
subtract a/b from both sidesa/b + x - a/b = c/d - a/b
x = c/d - a/b
x = (cb - ad) / bd
Therefore, the statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd
Learn more about rational number:
https://brainly.com/question/12088221
using this distribution find the probability that a teenager has 3 or fewer pairs of shoes in their closet(answer in decimal form)
Answer:
.7
Step-by-step explanation:
The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the phone is used each month.
The table shows that as more minutes are used each month, the total monthly cost will increase at the same rate. Assuming that this is true, what is the total monthly cost for the cell phone if it is used for 2,500 minutes?
can i get some help please i would really appreciate it ;)
Well there are 5 questions
Please help
Will give brainliest
Answer:
1. 30
2. x = 0
3. x = 10
4. 11.7
5. 60
Step-by-step explanation: