Answer:
akismsksksialoalqoq kskw! sola skkss
Step-by-step explanation:
smksmskkwow!skkw
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.
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.
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
PLEASE HELP ME WITH THIS I HATE SCHOOL
Answer:
B.)[tex]\sqrt{245}[/tex]
Step-by-step explanation:
[tex]\sqrt{245}[/tex]=15.65
7[tex]\sqrt{5}[/tex]=15.65
Hope this helps! :)
Answer:
its is B
Step-by-step explanation:
I just put 7/5 and put the answers below in my calculator and got whatever went with the answer when I put 7/5 (I dont have the square root sign)
HELP PELASE ASAPppppp
Answer:
sin M = NK/MK = m/n
cos K = NK/MK = m/n
=> sin M/cos K = 1
eddie who earns $5 per hour worked two hours longer zach who earns $12 per hour. together they earn $30
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:
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.
Jack invested $7,600 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 % compounded continuously. John invested $7,600 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 % compounded quarterly. After 19 years, how much more money would John have in his account than Jack, to the nearest dollar?
Answer: John would have $1371.33 more in his account than Jack.
Step-by-step explanation:
Formula to calculate amount after t years if compounded continuously:
[tex]A=Pe^{rt}[/tex]
Formula to calculate amount after t years if compounded quarterly:
[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]
, where P= Principal amount, r= rate of interest.
Given: P= $7,600
t=19 years
For Jack, [tex]r=6\dfrac{1}{4}\%=\dfrac{25}{4}\%=\dfrac{25}{400}=0.0625[/tex]
For John, [tex]r=6\dfrac{3}{4}\%=\dfrac{27}{4}\%=\dfrac{27}{400}=0.0675[/tex]
Amount in Jack's account after 19 years= [tex]7600e^{0.0625(19)}[/tex]
[tex]=7600e^{1.1875}\\\\=7600(3.27887376794)\\\\\approx\$24,919.44[/tex]
Amount in John's account after 19 years= [tex]7600e^{0.0675(19)}[/tex]
[tex]=7600(1+0.0675)^{19}\\\\=7600(3.45931245291)\\\\\approx\$26,290.77[/tex]
Difference = 26290.77-24919.44 = $ 1,371.33
John would have $1371.33 more in his account than Jack.
Answer:668
Step-by-step explanation: I just did it.
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.
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
‼️help please.‼️What is the slope-intercept equation of the line with a slope
4
of and a y-intercept of 3?
5
Answer:
C
Step-by-step explanation:
according to the standard equation;
Y=mX+C
or, Y=4/5X +3
plsss help if u can 6th grade math
Answer:
The minimum: 3
The lower Q: 7
The median: 7
The upper Q: 6
Maximum: 11
Step-by-step explanation:
please help me on this will give you brainliest
Answer:
7.76 × 10^8
Step-by-step explanation:
Answer:
i think i would be 1.94x10^8
Step-by-step explanation:
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
If you answer correctly the first one will get brainliest so plz answer correctly Which process in photosynthesis uses energy from the sun?(1 point) A splitting water into hydrogen and oxygen B combining carbon dioxide and hydrogen C absorbing carbon dioxide D releasing oxygen
Answer: A. splitting water into hydrogen and oxygen
Step-by-step explanation:
Photosynthesis is the process by which plants produce glucose by reacting carbon dioxide and water in the presence of sunlight. Chlorophyll which gives the plant its green color, traps sunlight and uses it to split water molecules into their constituent molecules of hydrogen and oxygen.
Glucose is then synthesized from these molecules and used in respiration to release energy for the plant.
A, splitting water into hydrogen
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
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
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=12the opposite side of parallelogram are equal
Answer:
8
Step-by-step explanation:
Since, intercepts made by parallel lines on transversals are in proportion.
Therefore,
[tex] \frac{x}{24} = \frac{12}{36} \\ \\ \frac{x}{24} = \frac{1}{3} \\ \\ x = \frac{24}{3} \\ \\ x = 8[/tex]
Plz help I don’t know how to solve this
Answer:
7- 110
11-70
about rest I don't know sorry
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
i’m so confused by this does anyone have this figured out
Answer:
you have to find the angels
Step-by-step explanation:
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
Please help I only have 1 hour left .
Answer:
c
Step-by-step explanation:
is the answer 84.2??? if not pls explain THANK U ITS GEOMETRY
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
Giving brain list
tell whether the ratio is a proportion
Need work shown
Need 4,5,6,7,8
If u answer with a d*um* answer I will report u
Answer:
i believe it proportional
Step-by-step explanation:
pls no report me i did this stuff in 6th grade so i forgot :)
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 :)
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.