Answers
Answer:
The 3rd one
Step-by-step explanation:
Let find angle z
Using law of sines
[tex] \frac{xy}{ \sin(z) } = \frac{xz}{ \sin(y) } [/tex]
Plug in the numbers
[tex] \frac{43}{ \sin(x) } = \frac{40}{ \sin(68) } [/tex]
Flip both equations
[tex] \frac{ \sin(x) }{43} = \frac{ \sin(68) }{40} [/tex]
where z=85.4 or 94.6
Using the triangle interior sun theorem,
if z=85.4 let add up all so The first 2 are rules out angles to make sure they add up to 180.
[tex]if \: z = 85.4[/tex]
[tex]85.4 + 68 + x = 180[/tex]
[tex]x = 153.4[/tex]
[tex]x = 26.6[/tex]
The fourth one doesnt have 26.6 as a angle so it cant be that
Let try if z=94.6
[tex]68 + 94.6 + x = 180[/tex]
[tex]162.6 + x = 180[/tex]
[tex]x = 17.4[/tex]
The third one has that.
Also we reuse law of sines YZ=12.9 so it is the third one.
Related Questions
HELP PELASE ASAPppppp
Answers
Answer:
Part 1 d/a = a/f
d/b = b/c
e/c = c/f
Explanation:
The triangles are similar.
This is about equal proportion. Look at the relationship between the short leg to the hypotenuse, short leg to long leg, and long leg to hypotenuse.
Part 2:
78
Explanation:
Calculate x, then substitute to get the lengths of the sides. Given equal angles, the two sides are equal.
5x –19 = 2x +11
3x = 30
x= 10
5(10) –19 = 31
2(10) + 11 = 31
Add the three sides: 31 +31 +16 = 78
Part 3:
Sin A= Cos B. both are a/b
Sin C= Cos A both are c/b
Sin C = c/b
Explanation:
Remember S=o/h, C=a/h , T=o/h
Look at the relationship of the sides to the angles given. If the sides match, the statement is true.
Sine of angle A is side a to side b. This is opposite/hypotenuse
Cosine of angle B is side a to side b This is adjacent/hypotenuse.
The lengths a and b are used in both. The hypotenuse don't change, but whether a side is considered an opposite or an adjacent depends on which angle you are looking at.
This can be confusing, but the more you practice, the easier it gets.
I hope this helps!
PLEASE HELP ASAP!!
In 2015, the cost of bread was $0.40. In 2021, the cost of bread is $2.00. What is the percent of change?
ILL GIVE BRAINLIEST
Answers
Steps are on paper
During each of the past three months, Tyler grew
by the following amounts: 1/8in., 3/16in., and 1/4in.
What is Tyler's total amount of growth over these
three months?
Answer with supporting work:
Answers
Finance the formula in exercise 17 is the formula for computing simple interest, where I is interest P is principle of amount invested, r is the interest rate and t is the same tm in years. Find the amount of interest earned if you were to invest $5000 at 6% interest for 3 years.
Answers
Answer:
$900
Step-by-step explanation:
Given that:
Principal, p = 5000
Interest, r = 6%
Period, t = 3 years
Using the relation :
Simple interest = Principal * Rate * Time
Simple interest = $5000 * 0.06 * 3
Simple interest = $900
Hence, amount of interest earned = $900
I would need you to tell me the answers to each question (3 questions)
Answers
Step-by-step explanation:
For no. 4
x = 180° - 98° - 50°
x = 32°
For no. 5
x = 180°- 67°-56°
x = 57°
For no. 6
x = 180° - 22° - 47°
x = 111°
Hope it will help :)❤
HELP meeeeeeeeeeeeeeeeeeeee
Answers
Answer:
first:
a)
second:
b)
Step-by-step explanation:
Multiply: (2x − 5)(4x2 + 7x − 11)
Answers
Answer:
14x²-41x+15
Step-by-step explanation:
Answer:
8x^3-6x^2-57x+55
Tell me if you would like an explanation If you need one :D
A baker needs 4 3⁄4 cups of flour. If she uses a 1 1⁄2 cup measuring scoop, how many scoops of flour must the baker use to have at least 4 3⁄4 cups?(must be a whole number)
Answers
Answer:
If you did it three times it would be 4 1/2. If you wanted to make it at least 4 3/4 then you would need to do 1 1/2 4 times.
Step-by-step explanation:
Don notices that the side opposite the right angle in a right triangle is always the longest of the three sides. Is this also true of the side opposite the obtuse angle in an obtuse triangle?
Answers
Answer:
Yes
Step-by-step explanation:
The line has to be loner to connect the other two.
i rlly need a worded story thingy that equals 2361.
E.g. Jack had 3 apples he a 2 how many apples does he have left ??
That type thing
THANKS xx
Answers
Pls help FAST I’m giving brainliest
Answers
A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box? Enter your answer below.
Answers
Answer:
1242
Step-by-step explanation:
Choose ALL the angles with a measure less that 90 degrees.
Answers
Answer:
Top left Top middle Bottom Left Bottom right
Step-by-step explanation
If the angle makes an "L" it is a 90 degrees angle or a right angle
If the angle makes a "V" it is less than 90 degrees or an acute angle
If the angle makes a "Stretched out V" it is more than 90 degrees or an obtuse angle
The option that represents the acute angle will be option A, option B, option D, and option F.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
The types of angles are as follows:
If the angle is less than 90° then the angle is known as an acute angle.If the angle is equal to 90° then the angle is known as a right angle.If the angle is more than 90° then the angle is known as an obtuse angle.Then the option that represents the acute angle will be option A, option B, option D, and option F.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
Place the numbers 4/3 , 1/2 , 4/8 , 3/2 and 2/2 in order from least to greatest.
Answers
Answer:
1/2, 4/8, 2/2, 4/3, 3/2
Step-by-step explanation:
If you put the fractions into decimals it would easier to see which ones are greater and leasts.
4/3 = 1.333...
1/2 = 0.5
4/8 = 2/4 = 1/2 = 0.5
3/2 = 1.5
2/2 = 1
Am not sure if 1/2 go first or 4/8.
Please answer this I will mark you Brainly if you answer this right
Answers
Answer:
150 This is right 4sure i did this test to.
Step-by-step explanation:
Explain
what is the square root of 4.84
Answers
Answer:
2.2. Hope it helps :D
Find the area. Simplify your answer.
Answers
Answer:
x = 26
Step-by-step explanation:
it is a right angle so
(x+4)3=90
3x+12=90
-12 -12
3x = 90-12
3x = 78
/3 /3
x = 26
Larry's small business has $60,000 dollars in its account and makes automatic
monthly payments that total $12,000.
Answers
Answer:
nice flex
Step-by-step explanation:
The sum of four consecutive even integers is -892. Find the four numbers.
Answers
Divide by the amount of consecutive numbers (4 in this instance)
It will be within a small range of those numbers
ex. The sum of 3 consecutive even integers is 24.
24/3 =8
Now guess and check
4+6+8=18 that's not 24 so don't add 4 instead on the other side of 8 put 10
6+8+10=24
Do roughly the same thing
All four consecutive even integers are;
-226 , -224 , -222 , -220
What is Integers?
An integers is a whole number which can be positive, negative or zero.
Given that;
Sum of four consecutive even integers is -892.
Let four consecutive even integers are;
2x , 2x + 2 , 2x + 4 and 2x + 6
Since, Sum of four consecutive even integers is -892.
Hence, We can formulate;
2x + 2x + 2 + 2x + 4 + 2x + 6 = -892
8x + 12 = -892
Subtract 12 both sides,
8x + 12 - 12 = -892 - 12
8x = -904
Divide by 8,
x = -904 / 8
x = - 113
So, All four even numbers are;
2x = 2 × -113 = -226
2x + 2 = -226 + 2 = -224
2x + 4 = -226 + 4 = -222
2x + 6 = -226 + 6 = -220
Thus, All four consecutive even integers are;
-226 , -224 , -222 , -220
Learn more about the integers visit:
https://brainly.com/question/929808
#SPJ5
Helllllllp
Simplify the expression 43 + 2(3 − 2).
14
16
66
68
Answers
Answer:
68
Step-by-step explanation:
Answer:
The answer is 46...i cant find that answer in the choices though
Step-by-step explanation:
In PEMDAS we can see that we have parentheses first so we solve whatever is in the parentheses. which 3-2 = 1....so it should look like this
43 + 2 + 1
Which equals 46
hope this helps. have a good day
two adjacent angles of a rhombus as in the ratio 2:3. Eind all the a angles of the rombus
Answers
Answer:
Let the adjacent angles of the rhombus be 2x and 3x. We know that the sum of the measures of the adjacent angles is equal to 180°. AD = DC = 3 × 36° = 108°. Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.
Step-by-step explanation:
Answer:
Let the adjacent angles of the rhombus be 2x and 3x.
we know that the sum of the measures of the adjacent angles is equal to 180°.
2x+3x=180
=5x=180
=x=180/5
=x=36°
Hence,AB =BC=2×36°=72°
AD=DC=3×36°=108°
Hence,The angles of the rhombus are 72°,108°, 72°and108°.
I hope it's helpful!
Explain how I would use Distributive Property (GCF) to factor the following expression: 4m + 16
Answers
Answer:
4(m+4)
Step-by-step explanation:
4m+16
Rewriting
4*m + 4*4
Factor out 4
4(m+4)
The angle of depression from a window 10 m above the ground to a coin on the ground is
15°. Find the distance of the coin from the base of the building.
Answers
Answer:
37.3 m
Step-by-step explanation:
Let the distance of the coin to the base of the building be represented by x. Applying the required trigonometric function, we have:
Tan θ = [tex]\frac{Opposite}{Adjacent}[/tex]
Tan 15 = [tex]\frac{10}{x}[/tex]
0.2680 = [tex]\frac{10}{x}[/tex]
x = [tex]\frac{10}{0.2680}[/tex]
= 37.3134
x = 37.3 m
The distance of the coin from the base of the building is 37.3 m.
For a year, a chef from a restaurant collected data about the cost of strawberries and cherries in his local food market. this data is summarized in the table below. based on the data collected, select all of the statements that are correct.
Answers
Answer:
A Strawberries generally cost less.
D If the chef pays $6.00 for a pound of fruit, it is most likely cherries.
Step-by-step explanation:
A and D
The residents of a village want to paint a sign that shows the elevation of their village to the sea. Their altimeter shows +2,100 feet. What should their signboard read?
Answers
Answer:
Wassss uppppp
Step-by-step explanation:
i dont know
Show work. Will mark branliest
Answers
Answer:10
Step-by-step explanation:
12 x 30 to see how many bottles per hour
360 x 8 to see how many it makes in a day
Divide 28,000 by 2,800 to see how many days it would take.
Step-by-step explanation:
first u will find how much bottles in 8 hours so that will be 60/2minutes =30so 30*12ottles=to 360 bottles per hour so 8*360=2,880 so u will do 28,000/2,880 it will be. 10 days of work.
Show that the line 3y = 7 + 5x is perpendicular to the line 5y = 4 - 3x.
Answers
Answer:
Proven Below
Step-by-step explanation:
If we rearrange these equations, we get that 3y = 5x + 7 and that 5y = -3x + 4. Next, to find what y equals on both equations, we divide by 3 on both sides of the first equation, where we would get that y = 5/3x + 7/3, and then divide by 5 on both sides of the second equation, where we would get that y = -3/5x + 4/5. Now, to see if two lines are perpendicular to each other, we have to see if the slopes (The number being multiplied by x. Ex.) In the equation y = 3/4x + 4, the slope is 3/4) are opposite reciprocals (If you multiply them and they are equal to -1. Ex.) 3/4 * -4/3 is equal to -1, so they are opposite reciprocals). In this case, we have -3/5 and 5/3 as slopes, and -3/5 * 5/3 is equal to -1, so they are perpendicular.
Answer:
The slope of the first line is 5/3
The slope for the second one is -3/5
If you multiply the 2 slope you have to end up with - 1
So 5/3*(-3/5)=-15/15 which is - 1
So yes the lines are perpenducular
what sin40? round to the nearest hundredth place
Answers
Answer:
i don't know just ask the internet
Answer:
0.75
Step-by-step explanation:
original answer: 0.74511316047
The cost of tickets to a school play are $10 for adults and $6 for children under 12. If there were a total of 100 tickets sold to the play on a certain night, what equation would you use to represent the total ticket sales, T, if the number of adult tickets can be represented by a. Show and explain each step to create the equation.
Answers
Answer:
10a+6b=T------------2
Step-by-step explanation:
Given data
Let the number of adults be a
and the number of children be b
we are told that the total tickets is 100
hence
x+y=100-------------1
The cost of adult ticket = $10
The cost of children ticket = $6
since the total cost is T
Hence
10a+6b=T------------2
Part B: Melissa designed the kite shown and would like to know the minimum amount of fabric needed to cover the kite. Each unit is 1 inch,
48 in
69 in
286 in
572 in?
Answers
Answer:
69.4 inches
Step-by-step explanation:
A kite is a quadrilateral (has four sides and four angles) with two pairs of congruent adjacent sides. The diagonals of a kite are perpendicular to each other.
To prove that quadrilateral ADBC is a kite, the diagonals of the kite have to be perpendicular to each other.
AD ⊥ BC.
Since adjacent sides are equal to each other, hence:
BC = BD, AC = AD
The coordinate of the vertices are A(11, 0), B(11, 26), C(0, 18) and D(22, 18)
[tex]BC=\sqrt{(0-11)^2+(18-26)^2} =13.6\ unit\\\\AC=\sqrt{(0-11)^2+(18-0)^2} =21.1\ unit[/tex]
BC = BD, AC = AD
Perimeter of kite = BC + BD + AC + AD = 2BC + 2AC = 2(13.6) + 2(21.1) = 69.4 units = 69.4 inches
Answer: 69
Step-by-step explanation: