Answer:
let the opposite angle of 43=y
57°+43°+y=180°[by sum of all angle is 180°]
100+y=180°
y=180°-100
y=80°
opposite angle of x is equal to the 80°
so the equation will be like this
x+x+80°=180°
2x+80°=180°
2x=180°-80°
2x=100
x=100/2
x=50°
so the value of x is 50°
law of sines and law of cosines
Answer:
Step-by-step explanation:
[tex]1.\\ \\ \frac{sin148}{25}=\frac{sinx}{12}\\ \\ x=sin^{-1}\frac{12sin148}{12}\\ \\ x=32^o\\ \\ 2.\\ \\ x^2=42^2+16^2-2(42)16cos120\\ \\ x^2=2692\\ \\ x=\sqrt{2692}\\ \\ 3.\\ \\ 19^2=17^2+14^2-2(17)14cosx\\ \\ x=cos^{-1}\frac{124}{476}\\ \\ x=74.9^o\\ \\ 4.\\ \\ \frac{sin22}{15}=\frac{sin(180-48-22}{x}\\ \\ x=\frac{15sin110}{sin22}\\ \\ x\approx 37.63[/tex]
Answer:
4. [tex]\displaystyle 38 ≈ x[/tex]
3. [tex]\displaystyle 75° ≈ m∠X[/tex]
2. [tex]\displaystyle 52 ≈ x[/tex]
1. [tex]\displaystyle 15° ≈ m∠X[/tex]
Step-by-step explanation:
Before we begin, here are the formulas for both laws:
Solving for Angles
[tex]\displaystyle \frac{x^2 + y^2 - z^2}{2xy} = cos∠Z \\ \frac{x^2 - y^2 + z^2}{2xz} = cos∠Y \\ \frac{-x^2 + y^2 + z^2}{2yz} = cos∠X[/tex]
Do not forget to use [tex]\displaystyle cos^{-1}[/tex]in the end or you will throw the result off!
Solving for Edges
[tex]\displaystyle y^2 + x^2 - 2yx\:cos∠Z = z^2 \\ z^2 + x^2 - 2zx\:cos∠Y = y^2\\ z^2 + y^2 - 2zy\:cos∠X = x^2[/tex]
Take the square root of the end result or you will throw it off!
-----------------------------------------------------------------------------------
Solving for Angles
[tex]\displaystyle \frac{sin∠Z}{z} = \frac{sin∠Y}{y} = \frac{sin∠X}{x}[/tex]
Do not forget to use [tex]\displaystyle sin^{-1}[/tex]in the end or you will throw the result off!
Solving for Edges
[tex]\displaystyle \frac{z}{sin∠Z} = \frac{y}{sin∠Y} = \frac{x}{sin∠X}[/tex]
_____________________________________________
4. [tex]\displaystyle \frac{15}{sin\:22} = \frac{x}{sin\:110} \hookrightarrow \frac{15sin\:110}{sin\:22} = x \hookrightarrow 37,627178911... = x \\ \\ 38 ≈ x[/tex]
3. [tex]\displaystyle \frac{-19^2 + 17^2 + 14^2}{2[17][14]} = cos∠X \hookrightarrow \frac{-361 + 289 + 196}{476} = cos∠X \hookrightarrow 0,2605042016... = cos∠X; 74,900018217...° = cos^{-1}\:0,2605042016... \\ \\ 75° ≈ m∠X[/tex]
2. [tex]\displaystyle 16^2 + 42^2 - 2[42][16]\:cos\:120 = x^2 \hookrightarrow 256 + 1764 - 1344\:cos\:120 = x^2 \hookrightarrow \sqrt{2692} = \sqrt{x^2}; 2\sqrt{673}\:[or\:51,884487084...] = x \\ \\ 52 ≈ x[/tex]
You could have also used the Law of Sines sinse the base angles are congruent [30°].
1. [tex]\displaystyle \frac{sin\:148}{25} = \frac{sin∠X}{12} \hookrightarrow \frac{12sin\:148}{25} = sin∠X \hookrightarrow 0,2543612468... = sin∠X; 14,735739332...° = sin^{-1}\:0,2543612468... \\ \\ 15° ≈ m∠X[/tex]
I am joyous to assist you at any time.
Someone help please!
X+3y=-7 5x+6y=-8
Step-by-step explanation:
I have used substitution method here to find the value of x and y.
HELP PELASE ASAPppppp
Answer:
sin M = NK/MK = m/n
cos K = NK/MK = m/n
=> sin M/cos K = 1
choose the two number sentences that are true a.5+7=11+2 b.3+8=20-9 c. 5+9=19-4 d.12+7=5+14 e.18-6=15-2
Answer:
B) 3+8=20-9 & D) 12+7=5+14
Step-by-step explanation:
3 + 8 = 11, 20 - 9 = 11
12 + 7 = 19, 5 + 14 = 19 :)
Problem situation:
Janelle is at the movie theater and has $20
to spend.
She spends $8 on a ticket and wants to buy some snacks. Each snack costs $4.99.
How many snacks, x, can Janelle buy?
Inequality that represents this situation:
20 > 8 + 4.99x
Drag each number to show if it is a solution to both the inequality and the problem
situation, to the inequality only, or if it is not a solution.
Answer:
Rewrite so x is on the left side of the inequality.
8 + 4.99x < 20
Move all terms not containing x to the right side of the inequality.
4.99x < 12
Divide each term by 4.99 and simplify.
x < 2.405
The result can be shown in multiple forms.
Inequality Form:
x < 2.405
Interval Notation:
( −∞ , 2.405 )
Step-by-step explanation:
Answer:
Both:
1
2
Inequality Only:
-4
3/4
2.3
Neither:
2.5
is the answer 84.2??? if not pls explain THANK U ITS GEOMETRY
how much grams are in a milligram
there are 1000 milligrams in 1 gram
Hope this helps
what iis the answer to this question
1/5x40
Answer:
8
Step-by-step explanation:
Answer:
1/5 x 40 = 8
(Hope this helps! Btw, I am the first to answer.)
What is the value of x?
Answer:
x=16
Step-by-step explanation:
according to the geometric mean for altitude
8 squared = 4x
64=4x
x=16
if my answer helped please mark as brainliest.
Step-by-step explanation:
X = 16 .
16 is the correct answer of this question .
plz mark my answer as brainlist if you find it useful.
Please help I only have 1 hour left .
Answer:
c
Step-by-step explanation:
Donna packs 14 pounds of nuts in bags . Each bag has 1/4 pound of nuts Which equation shows the number of bags Donna packed with all the nuts
Answer:
Step-by-step explanation:
Where are the equations to choose from?
14 pounds × (1 bag)/(¼ pound) = 56 bags
1/8 = 2/5 times X . What is X
Answer: 5/16
Step-by-step explanation:
Answer:
0.0125
Step-by-step explanation:
1/8=2/5x
Divide by 2/5 on each side of the equation. X=0.0125. 0.0125=1/80. The last option.
Abby got a summer job. The table shows how much money she will earn based on the number of hours she works.
Hours Worked 20 30 40 50
Dollars Earned 150 225 300 375
Based on the table, how much money will she earn if she works 65 hours?
O A $450.00
B. $475.50
C. $487.50
D. $525.00
Answer:
C
Step-by-step explanation:
She earns $487.50
375+75+37.5=487.5
Answer: c
Step-by-step explanation
First find the unit rate
$150 divided by 20 = $7.50
So she's earning $7.50 an hour
$7.50 times 65 hours = $487.50
So the correct answer is C
Find the missing side of the triangle.
Answer:
The second option
Step-by-step explanation:
c=[tex]\sqrt{16^{2} +12^{2} }[/tex]
c=20 m
Estimate 0.95% of 700
Answer:
6.65
Step-by-step explanation:
0.95% of 700
= 0.0095*700
= 6.65
The value of 0.95% of the number 700 is 6.65.
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the number 700 is 0.95%. The number will be calculated as below,
Number = 0.95% of 700
Number = 700 x 0.95/100
Number = 6.65
Therefore, the value of 0.95% of the number 700 is 6.65.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ6
Express each ratio as a fraction in simplest form.
26:169 and 36 to 78
Answer:
Step-by-step explanation:
1. 26/169 = 2/13
2. 36/78= 6/13
please help asap!!!!
Answer:
x ≤ 7.5
Step-by-step explanation:
First, get x alone by multiplying both sides by 3 (to get rid of the fraction)
3 (1/3x) ≥ 3(2.5)
x ≤ 7.5
(The sign will flip whenever you multiply or divide in an inequality)
Since the sign is 'less than or equal to' you need a closed dot on 7.5, and it will be a ray pointing left, because x will be a number smaller (aka less than) than 7.5
Given that ƒ(x) = x2 + 1 and g(x) = –3, multiply the functions (g · ƒ)(x).
Answer:
(2+1×-3)(x) = 3×(-3)(x) =-9x
Answer:
(g · ƒ)(x) = –3x2 – 3
Step-by-step explanation:I took the test
Plllzzzzz help quick
Answer:
also click the first choice. It has 10 sides.
Step-by-step explanation:
1440=(N-180)-360
N-180=1080
n=10 sides
Answer: The answers would be A
Step-by-step explanation- The sum of all angles in a decagon will always equal 1440 degrees. That is all. Plz mark brainliest?
f(x) = -3x + 3
f(-2) = [?]
Help
is this the answer you're looking for? I'm sorry I'm confused
please help.......................
Answer:
FD = 8
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{FD}{BA}[/tex] = [tex]\frac{FE}{BC}[/tex] , substitute values
[tex]\frac{x+3}{2x+2}[/tex] = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2(2x + 2) = 3(x + 3) ← distribute parenthesis on both sides
4x + 4 = 3x + 9 ( subtract 3x from both sides )
x + 4 = 9 ( subtract 4 from both sides )
x = 5
Thus
FD = x + 3 = 5 + 3 = 8
Kristina is four-fifths as old as her sister. Kristina is 12 years old. Write a multiplication equation and solve the equation to determine her sister's age
Answer: Kristina sister's age = 15 years
Step-by-step explanation:
LET the sister's age be rep as x
SO that Kristina = 4/5 of x
Given that Kristina's age = 12 , Then her sister's age can be found using The equation
4/5 x X= 12
4/5 X =12
X = 5 X 12 / 4
=60/4=15
Kristina's sister's age = 15 years.
Jack made 9 identical bags using 5 yards of fabric. How much fabric did Jack use for each bag? Solve on paper and check your work on Zearn.
Answer: 5/9 yards
Step-by-step explanation:
From the question, we are informed that Jack made 9 identical bags using 5 yards of fabric.
To calculate the amount of fabric that Jack use for each bag, we have to divide 5 by 9. Thus will be:
= 5 / 9
Therefore, it means that Jack used 5/9 yards for each bag
The function g is defined by g(x) = 3x+4.
Find g(z+3).
I really need help with these Aleks assignments, can someone help me with them?
Answer:g(x) = (x+3)/(x2-4)
The domain refers to all of the x values that the function can take on. In a rational expression like the one above, we have to be careful that the denominator is never 0, since division by 0 is undefined. We can factor the denominator of g(x) as follows:
g(x) = (x+3)/((x+2)(x-2)
The denominator will be zero when x = 2 or -2. Otherwise, g(x) is defined on all other values of x. So the domain of g(x) is "x = all x not equal to -2 or 2". In interval notation, the domain is:
(-∞,-2)U(-2,2)U(2,+∞)
On a number line, draw it as follows:
-∞ <======o=====o=======> +∞
-2 2
Step-by-step explanation:
Daniel used to collect baseball cards as a kid. He purchased a particular
card for $30 in 2006 and the value of the card increases by 2.5% per year.
How much is his card worth now (in 2021)? Use units and round
appropriately.
Answer:
[tex]y < 85 \div \div 9614 = 88[/tex]
Ты лоххх
Find -2(3 - 8) + 3 (12 - 8)
What is the answer to this question?
Answer:
22
Step-by-step explanation:
Will give brainliest please answer please
Answer:
E,F,B
Step-by-step explanation:
Answer:
A,C,E
Step-by-step explanation:
12/21= .571428571
4/7, 16/28 and 8/14 all result in this decimal
X^2+10x+22=13 1. Rewrite the equation by completing the square your equation should look like (x+c)^2 = d or (x-c)^2=d 2. What was the solution to the equation?
Answer:
(x+5)² = 16
Solution: -1 and -9
Step-by-step explanation:
Given the quadratic equation X^2+10x+22=13
Subtract 22 from both sides
X^2+10x+22-22=13-22
x^2+10x = -9
Complete the square
Add the square of half of coefficient of x to both sides
coefficient of x = 10
half of coefficient of x = 10/2 = 5
square of half of coefficient of x= 5² = 25
Add 25 to both sides
x²+10x + 25 = -9+25
(x+5)² = 16
Hence the required equation is (x+5)² = 16
(x+5)² = 16
square root both sides
√(x+5)² = √16
x+5 = √16
x +5 = ±4
x = +4 - 5 and -4-5
x = -1 and -9
Hence the solution to the equation is -1 and -9
i’m so confused by this does anyone have this figured out
Answer:
you have to find the angels
Step-by-step explanation:
Plz help I don’t know how to solve this
Answer:
7- 110
11-70
about rest I don't know sorry