Answers
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.
Related Questions
Which of the following ordered pairs is not in the solution set of y < 2x − 5
Answers
Answer:
(4,3)
Step-by-step explanation:
Solve the equation:
3<2(4)-5
3<8-5
❌3<3 ❌
3 is not less than three, hence this is the phony
i hope this helps!
A man shares a $1,200,00 inheritance between his 3 sons in ratio 1: 3: 6. Calculate the difference between the largest share and the smallest share
Answers
Answer:
60000
Step-by-step explanation:
You should treat the first son with the 1 ratio as x. Because of this, the second son would be 3x and the third would be 6x. All of them need to equal 120000 so 10x=120000. Next you isolate the and x= 12000. Fill in 1200 for x and the first son gets 12000, the second gets 36000, and the third gets 72000. Lastly you subtract and you get 60000.
A rectangular playground is 65m long and 30 m wide. A pathway of 1.5 m width goes all around, outside it. Find the area of the pathway
Answers
Answer:
97.5 m^2
Step-by-step explanation:
Given data
Length = 65m
Width= 30m
We are told that the width of the path= 1.5m
Hence the area of the path is
=65*1.5
=97.5 m^2
Answer the photo below thanks
Answers
Answer:
x=50
Step-by-step explanation:
65+65=130
180-130=50
Answer:
50 is the answer
Step-by-step explanation:
this is a isosceles triangle having 65 and 65
then 65 + 65 + x = 180 property of traingle
130 + x = 180
x = 180- 130 = 50
At a sale, dresses were sold for $192 each. This price was 96% of the dress's original price. How much did a dress originally cost?
Answers
Answer:
$199.68
Step-by-step explanation:
You would have to find 4% of 192.
That is 7.68.
192+7.68=199.68.
Parallel or perpendicular
Answers
I really need help
-21a+35
Answers
Answer:
-7 (3a - 5)
Step-by-step explanation:
Answer:
[tex] - 7(3a - 5)[/tex]
Step-by-step explanation:
you just have to factor out the common term 7.
Please help with 3 thank you!
Answers
Answer:
Step-by-step explanation:
Julie earns $9 each week as an allowance. If she spends $5 each week for lunch money and saves the rest, which expression shows how much money she will save in x weeks?
Answers
Answer:
(x)4
Step-by-step explanation:
(x) is the amount of weeks and 4 is the amount of money that is saved every week.
pregón de servicio
kjjj
Answers
Answer:
what
Step-by-step explanation:
what’s the slope_____
Answers
Answer:
-4
Step-by-step explanation:
The formula for finding the slope of a line is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. We can take any two points given to us from the table and plug them into that expression. For example, we can use the points (0,0) and (2,-8).
[tex]\frac{y_2-y_1}{x_2-x_1}\\= \frac{-8-0}{2-0}\\= \frac{-8}{2}[/tex]
Simplify the fraction
[tex]= -4[/tex]
Therefore, the slope of the line is equal to -4.
I hope this helps!
How do you simplify 14.938 - 14.93 ?
Please help
Answers
Answer:
0.008
Step-by-step explanation:
To know the steps pls look at the pic above
PLEASE!! HELP!!
Question
Select the correct location on the number line.
Plot the square root of 3 on the number line.
H
1
2
Answers
Answer:
2nd dot from the left (in the 1.7 column)
Step-by-step explanation:
the square root of 3 is 1.73
each interval on that number line goes by one tenths
(1.1, 1.2, 1.3, etc.)
so counting 7 spaces from the number one should land you at 1.7
(the second red dot from the left)
hope i was able to help!
10 Points<>I need help ASAP!!!
Answers
Answer:
Step-by-step explanation:
A and D
Select each equation which is equivalent to 60% of 25.
✓
0.6 • 25 = x
X • 1.6 = 25
16
60
100
25
25
100
6.0 • 25 = x
Answers
Answer:
Step-by-step explanation:
The answer choices are not displaying properly. There are many ways to express the relation. For example:
X = 60% of 25
X = 0.60 × 25
X = 0.6 × 25
X = 60/100 × 25
X = 6/10 × 25
X = ⅗ × 25
3 cm
20 cm
8 cm
5 cm
Find the lateral surface area of the solid above.
Answers
Answer:
320 cm sq
Step-by-step explanation:
m-3/18=11/18 What is m??
Answers
Answer:
I think m is a variable
Step-by-step explanation:
because a variable is a letter representing a unknown amount
Step-by-step explanation:
hope this will help you.
−5⋅16 will result in a
number. Is it positive or negative
Answers
Answer:
negative
Step-by-step explanation:
-5x16=-80
Answer:
negitive
Step-by-step explanation:
a negitave multiplied by a positive is still a negitive
PLS NEED DONE ASAP 10 MINUTES TILL DUE
Answers
Then 3 red + 2 blue = 1 green + 2 blue, so 3 red = 1 green
If we know these facts then
3 red = 2 blue = 1 green
So the bottom one is 6 reds = 2 greens, or 1 green + 2 blue.
This makes my head hurt. They’re making it harder than it is.
Hope I didn’t confuse you more.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. If and , what is ? Write your answer in simplest form. When and , .
Answers
I need help with the picture. please
Answers
you have to use the order of operations (PEMDAS)
x=3
7+5(3)
MULTIPLACTION FIRST
7+15= 22
so the first was wrong because she added before multiplying
x= 4/5
7+5(4/5)
MULTIPLICATION FIRST
7+4= 11
the second was wrong because she added before multiplying again
Harry got a raise. He now makes 105% of his old salary.
If his old salary was $55,000, what is his new salary?
helppp
Answers
Answer:
we simply do - 55,000*105/100
Which is 55,000*1.05
And that is 57750
So his new salary is $57750
Thanks and mark me brainliest becuz i have good answer :)
F(x) is a function
A. True
B. False
Answers
Answer: true
Step-by-step explanation:
Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)
Answers
Answer:
(x - 2)(x + 1)(2x -1)
Step-by-step explanation:
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
here, we have,
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.
Know more about Polynomials here:
brainly.com/question/2833285
#SPJ7
I need help with this question!
Answers
Answer:
sorry but don't know this answer
One of the angles of a parallelogram is 36 degree greater than another one. Find the angles of the parallelogram
Answers
Answer:
72, 72, 108, 108
Step-by-step explanation:
x, x, x+36, x+36 =360
4x=288
x=72
so, x=72, x=72, x=108, x=108
Answer:
72*, 72*, 108*, 108*
I need help with this please :(
Answers
Answer:
b
Step-by-step explanation:
b= luck
Find and reduce -4/7 x 2/3
What is the answer to this?
Answers
Answer:
-8/21
Step-by-step explanation:
What is the y-intercept?
Answers
I hope this helps
What is the length of AB?
Answers
Answer: 6 units
Step-by-step explanation:
I know that in a triangle, there's two angles that have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units.
Answer:
AB = 38.64 m
Step-by-step explanation:
[tex] \cos \: 75 \degree = \frac{10}{x} \\ \\ x = \frac{10}{ \cos \: 75 \degree } \\ \\ x = 38.637033052 \\ \\ x \approx \: 38.64[/tex]
AB = 38.64 m