part 2. Find the missing sides for each 30 60 90 triangles. Show work please.
Answers
5. tan(30) =4/g
g = 4/tan(30)
g = 4√3
sin(30) = 4/h
h = 4/sin(30)
h = 8
6.
tan(30) = 14/l
l = 14/tan(30)
l = 14√3
sin(30) = 14/m
m = 14/sin(30)
m = 28
7.
sin(30) = j/50
j = 50 x sin(30)
j = 25
cos(30) = k/50
k = 50 x cos(30)
k = 25√3
Related Questions
Write the equation of a line through points (5, 5) and (1, 0) in point-slope form.
A. y=5/4 (x-1)
B. y-1= 5/4 (x-1)
C. y-5= 1/4 (x-1)
D. y= 1/4 (x-5)
Answers
Answer:
A. y = 5/4(x - 1)
Step-by-step explanation:
The equation of a line can be written in the form:
[tex]\frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the points given,
y1 = 0
y2 = 5
x1 = 1
x2 = 5
Therefore:
[tex]\frac{y - 0}{x - 1}= \frac{5 - 0}{5 - 1} \\\\\frac{y}{x - 1} = \frac{5}{4}[/tex]
Cross multiply:
4y = 5(x - 1)
y = 5/4(x - 1)
A. y = 5/4(x - 1)
Step-by-step explanation:
The equation of a line can be written in the form:
From the points given,
y1 = 0
y2 = 5
x1 = 1
x2 = 5
Therefore:
Cross multiply:
4y = 5(x - 1)
y = 5/4(x - 1)
Which of the following is the inverse of the statement, "If i listen to this song, then it will get stuck in my head"?
Answers
If it gets stuck in my head, then i listened to the song.
Mary is also a civil engineer, and she is building a triangular community garden. She knows two angles in the triangular garden, diagramed below. A triangle has angle measures 92 degrees, 27 degrees, and a degrees. The exterior angle to a degrees is b degrees. What are the measures of interior angle a and exterior angle b? a = ° b = °
Answers
Answer:
A= 61
B=119
Step by step:
a; interior angle
180-(27+92)
=180(119)
=61
b; exterior angle
180-61
=119
Answer: 61 and 119
Step-by-step explanation:
What is the value of f(x) = 2.2 for f(-2)?
Answers
here is your ansewewrew
Jeffrey estimates there's a 40% chance to eat pizza for dinner, it's 60% chance he'll drink cold out, and it's 30% chance to eat pizza and drink Cola. What's the probability of Jeffrey drinking cola, if he eats Pizza?
Answers
Answer:
a. 75%
Step-by-step explanation:
Let "p" represent the probability that Jeffrey will eat pizza, and "c" represent the probability that he will drink cola.
We are given ...
P(p) = 0.40
P(p&c) = 0.30
The conditional probability of interest is ...
P(c|p) = P(p&c)/P(p) = 0.30/0.40 = 0.75
The probability Jeffrey will drink cola, given that he eats pizza, is about 0.75.
Let the polynomials A = 7x² + 3xy and B = -3xy.
Determine A + B.
a) 7x²
b) 3xy
c) 7x² + 6xy
d) 14x² + 6xy
e) -3xy
Answers
Answer:
The answer is 7x²
Step-by-step explanation:
Since we have to add the two polynomials together, we write it as A+B=7x²+3xy-3xy. Now, we simplify, and we are left with A+B=7x²
What is the volume of a cone if the diameter is 5 and the height is 13?
Answers
Answer:
85.095cm³
Step-by-step explanation:
Volume of cone is ¹/³ πr ²h
volume = ¹/³ x 3.142 x (2.5)² x 13
volume = 85.095cm³
Which algebraic expression represents this mathematical statement?
75 less than a number
O A. 75-n
O B. n-75
O C. n: 75
O D. n+ 75
Answers
Answer:
B
Step-by-step explanation:
Subtraction mean how much less than a number
i couldn't find this answer anywhere!! -x/6+6=32
Answers
Answer.
x=156
How to solve
x /6 +6=32
1 /6 x+6=32
1 /6 x+6−6=32−6
1 /6 x=26
6*( 1/ 6 x)=(6)*(26)
x=156
9.3 × 10^{7} - 3.4×10^{6} = ?
Answers
Answer:
8.96 x 10^7
Step-by-step explanation:
9.3 x 10000000 - 3.4 x 1000000 = 93000000-3400000 = 89600000
89600000 can also be written as 8.96 x 10^7
a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola
Answers
Answer:
The vertex form of the equation is [tex]y = -\frac{1}{3}( x-1)^{2} +1[/tex].
Step-by-step explanation:
You will use the equation [tex]y=a(x-h)^{2} +k[/tex] to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get [tex]y= a(x - 1)^{2} +1[/tex].
Then, we substitute the point as our x and y to get [tex]-2 = 9a+1[/tex] (a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the [tex]9a[/tex] to get [tex]9a = 3[/tex]. Finally, divide by 9 on both sides to get [tex]a=\frac{1}{3}[/tex].
Now, substitute your [tex]a[/tex] back into the equation to get y = [tex]-\frac{1}{3}(x-1)^{2}+1[/tex].
This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get [tex]y = -\frac{1}{3} x^{2} +\frac{2}{3} x+\frac{2}{3}[/tex].
Can someone please help me
Answers
Answer:jss needed point srry
Step-by-step explanation:
Solve x2 = 12x - 15 by completing the square. Which is the solution set of the equation?
O {-6 -51-6 +51)
O {-5 - 721, -6 + 21}
O {6 - V51,6 + 51}
O {6 - 21,6 + 721)
Answers
Answer:
(6-√21, 6+√21)
Step-by-step explanation:
x^2 - 12x = -15
(x - 6)^2 - 36 = -15
(x - 6)^2 = 21
x - 6 = ± √21
x = 6 ± √21
The solution set of the given equation is (6-√21, 6+√21)
Given is an equation, x² - 12x = -15 we need to solve it by completing the square.
Solving the equation,
x² - 12x = -15
(x - 6)² - 36 = -15
(x - 6)² = 21
x - 6 = ± √21
x = 6 ± √21
Therefore, the solution set is (6-√21, 6+√21)
Learn more about equations, click;
https://brainly.com/question/29657983
#SPJ7
choose the definition for the function
Answers
Answer:
The answer above is wrong it actually b
The function shown in the graph is option b.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
We have from the graph that graph touches the x axis at 2 and at a point between 0 and 1.
That is,
f(x) = 0 when x = 2
Substitute the value of x as 2 in the functions given in the option when x > 1 and find those functions which give y = f(x) = 0.
It is only possible for options 'a' and 'b'.
When x = 2, -2 + 2 = 0.
Also we have the point, when x = 1, y = 1.
x = 1, then -2x + 2 = 0 ≠ 1
x = 1, then -x + 2 = -1 + 2 = 1
So when x = 1, f(x) should be of the form f(x) = -x + 2.
Correct option is option b.
Hence the correct definition of the function is option b.
Learn more about Functions here :
https://brainly.com/question/12431044
#SPJ5
According to the vertical line test, is the equation x=y^2 a function?
Answers
Answer:
No it is not a function
Step-by-step explanation:
Help ? What’s the answer ?
Answers
Answer:
D. - i
Step-by-step explanation:
i = √( - 1)
i³ = √( - 1)*√( - 1)*√( - 1) = √(-1)² *√(-1) = - 1*i = - i
For a musical show, x children were present. There were 60 more adults than children. An adult paid N5 and a child N2.
If a total of N1294 was
collected, calculate the value
of x *
Answers
Answer:
142
Step-by-step explanation:
5*(x+60)+2*x=1294
5x+5*60+2x=1294
7x+300=1294
-300 -300
7x=994
x=994:7
x=142
142
Step-by-step explanation:
5(60+x) +2(x) = 1294
300+5x+2x= 1294
7x= 994
X= 142
A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remaining eggs were white in color. Which equation can be used to solve for w, the number of white eggs used last week?
Answers
46+w=231
w=185
# brown eggs (46) + # white eggs (w) = total # of eggs (231)
Answer:
231 - 46 = 185
Step-by-step explanation:
We know that the restaurant used 231 eggs last week. (That's a lot!)
That is out starting point. It doesn't change.
Then, it says 46 are brown eggs.
To find the number of white eggs, we know it must equal to 231 when added to the 46 brown eggs. Or, 46 + ? = 231.
So, we do the opposite operation of addition; subtraction.
Like this:
231 eggs - 46 brown = ? white eggs.
That equals 185 white eggs.
Keep up the EGGcellent work! ;)
-Bella,
BrainlyBluebell
Which function is graphed on the right? y = 2x+3 – 2 y = 2x–3 + 2 y = 2x–2 + 3 y = 2x–2 – 3
Answers
Answer:
y=2x-2-3
Step-by-step explanation:
First you will need graphing paper. Go ahead and locate the y intercept on each of these equations. Then locate the slope. (y=mx+b). If the slope is positive count the amount of blocks up the slope's value is. And if negative count down. Then count to the right depending on the denominator. (2/1) You will make a triangle draw the line on the hypotenuse of the triangle. Then you have the line. You can also just use desmos.
The equation of the graphed function is [tex]y = 2^{x-2} + 3[/tex]
What are functions?Functions are used to represent equation, graphs and tables
The parent function of the graph is an exponential function represented by
[tex]y = 2^x[/tex]
First, the function is shifted 2 units right.
So, we have:
[tex]y = 2^{x - 2}[/tex]
Next, the function is shifted 3 units up.
This is represented as:
[tex]y = 2^{x - 2} + 3[/tex]
Hence, the equation of the graphed function is [tex]y = 2^{x-2} + 3[/tex]
Read more about exponential functions at:
https://brainly.com/question/11464095
Can you please help
Answers
B=36
h=4
(36*4)/3=48
Prism
B=144
h=3
V= (bh)= 432
answer= 432+48 =480
EASY question for y’all mathy people. Easy points! Question in photo!
Answers
Answer:
B 1/7^2
D 7^-10 / 7^-8
Step-by-step explanation:
7^-2
We know that a^-2 = 1/a^2
1/7^2 = 1/49
We also know that anything with a power of 2 in the denominator is good
7^-8 / 7^-10 = 7^2
7^-10 / 7^-8 = 7^-2 = 1/7^2 = 1/69 that is the second answer
Answer:
Step-by-step explanation:
Answers C and D are correct.
Note that in C we have 7^(-8)
---------- ,
7^(-10)
which is equivalent to 7^(-8 + 10), or 7^2, or 49.
Neon green is a paint color that contains the colors yellow and green in the ratio 3:5 by volume. How many ml of each color is in 100ml of neon green paint? Show your thinking
Answers
37.5:62.5
3. A soccer team played 160 games and won 65 percent of them. How many games did the team win?
a. 94
b. 104
c. 114
d. 124
Answers
Answer:
b.) 104
Step-by-step explanation:
Percent formula:
x/y = p/100
where x is the fraction, y is the total, and p is the percent
This means:
x = number of games the team won
y = total number of games
p = percent the number of teams won
Let's plug these values into the equation:
x/y = p/100
x/160 = 65/100
Solve by cross-multiplying:
x/160 = 65/100
100(x) = 100x
160(65) = 10,400
100x = 10,400
/100 /100
x = 104
Therefore, the team won 104 games.
Here is a table of values for y=
f(x).
Х
-5
-3 0 2 6 7 9 10
13
f(x) 1
2
3 0
1230
1
Mark the statements that are true.
Answers
Answer:
The true statements are
The domain for f(x) is the set {-5, -3, 0, 2, 6, 7, 9, 10, 13}
f(-3) = 2
Extra:
x -5 -3 0 2 6 7 9 10 13
f(x) 1 2 3 0 1 2 3 0 1
The proof that TriangleMNG ≅ TriangleKJG is shown.
Given: AngleN and AngleJ are right angles; NG ≅ JG
Prove: TriangleMNG ≅ TriangleKJG
What is the missing reason in the proof?
a) the reflexive property
b) ASA
c) AAS
d) the third angle theorem
Answers
Answer:
b) ASA
Step-by-step explanation:
If you were to look at both triangles the marked angles are rothe other same for the side and also the angle of G which connects both triangles together.
The missing reason in the question is option B which is ASA that is ANGLE SIDE ANGLE.
What are congruent triangles?Triangles are congruent when they have three corresponding sides and exactly the corresponding three angles are equal to other.
What are similar triangles?If two triangles can be superimposed on each other then it is said to be similar triangles.
How to check similarity between triangles?Two triangles are said to be similar if two angle and a side, one angle and two sides are equal to other.
If we look at the figure we found that both triangles the marked angles are same for the side and also the angle of G which connects both triangles together.
Hence the correct option for the problem is ASA (Angle Side Angle)
Learn more about congruent triangles at https://brainly.com/question/2938476
#SPJ2
How many two-digit primes have both their digits non-prime?
Answers
Answer:
89
Step-by-step explanation:
8 is divisible by 4
And 9 is divisible by 3
[tex]x^{2}-5x-24=0[/tex]
Quadratic Formula
Please show every step
Answers
Answer:
[tex]x=8,\:x=-3[/tex]
Step-by-step explanation:
[tex]x^2-5x-24=0\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\mathrm{For\:}\quad a=1,\:b=-5,\:c=-24:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\left(-24\right)}}{2\cdot \:1}\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=8,\:x=-3[/tex][tex]=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\5+\sqrt{121}\\=\frac{5+\sqrt{121}}{2}\\=\frac{5+11}{2}\\=\frac{16}{2}\\=8\\\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:1\cdot \left(-24\right)}}{2\cdot \:1}\\=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\\left(-5\right)^2\\=25\\4\cdot \:1\cdot \:24\\=96\\=5+\sqrt{25+96}\\[/tex]
[tex]\frac{5-\sqrt{121}}{2\cdot \:1}\\\frac{5-11}{2}\\=-\frac{6}{2}\\=-3\\[/tex]
Sean is travelling. He has a flight of 4 hours 20 minutes, a stopover of 35 minutes and then another flight of 3.75 hours. What is his total travel time? Give your answer in hours and minutes.
Answers
Answer:
Th=8[tex]\frac{2}{3}[/tex]h Tmin=520min
Step-by-step explanation:
4h 20min = 13/3h = 260min
35min = 7/12h
3.75h = 15/4h = 225min
Total in min: 225+260+35=520min
Total in h: 520/60=52/6=8[tex]\frac{4}{6}[/tex]=8[tex]\frac{2}{3}[/tex]h
3/16 Write as a decimal and as a percent
Answers
Answer:
0.1875 as a decimal and 18.75% as a percent
Step-by-step explanation:
0.1875 is the decimal. Move point over 2 spots right to get percent.
PLEASE HELP
Write an equation to model the data.
x y
−1 2.5
0 5
1 10
2 20
3 40
Answers
Answer:
y = 5(2)ˣ
Step-by-step explanation:
numbers are doubled for y as x is changing by 1
it indicates exponential growth with y intercept 5 and rate 2: y = 5(2)ˣ
