Answer:
θ = 104°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
Identify and set up
m∠A = 31°
m∠B = θ
m∠C = 45°
θ + 31° + 45° = 180°
Step 2: Find θ
Add: θ + 76° = 180°[Subtraction Property of Equality] Subtract 76° on both sides: θ = 104°Answer:
104
Step-by-step explanation:
All interior angles of triangles add up to 180. So, using the information we are given we can find the missing angle, theta. One way to do this by setting up an equation like 31+45+θ=180. Solve this to get 104, your final answer. If you want, you can check your work by plugging in 104, 31+45+104=180. Since 180=180, 104 must be correct.
For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered for 12 hours in the second week, and another 12 hours in the third week. The fourth week, he volunteered for 9 hours. For how many hours did he volunteer per week, on average?
Which statement is true? A.|-2.5|>|-3|
B: |-2.5|<|-3| C: |-2.5|=|-3|
Answer:
b.
Step-by-step explanation:
|-2.5|<|-3|
l -2.5 l = 2.5
l -3 l = 3
2.5 < 3
What is the surface area?
5 ft
4 ft
5 ft
6 ft
5 ft
square feet
Answer:250 ft
Step-by-step explanation:
5 ft x 4 ft = 20
5 ft x 6 ft = 30
20 + 30 = 50
50 x 5 ft = 250 ft
I hope this helps and if its wrong im sorry
How much should be added to 58.4 to makes 400?
Answer:
341.6
Step-by-step explanation:
400-58.4=341.6
Write the equation of the line that has an undefined slope and passes through the point (3,5)
Undefined slope is when a line becomes vertical. Vertical lines have undefined slope because if we attempt to find the slope using formula, the denominator will become 0 which is undefined.
Next, the equation of a vertical line is x = a where a is any real numbers.
Since the line is vertical, for any a-value would have same y-value which is all real numbers.
However since the graph passes through x = 3. For x = 3 has y-value as set of all real numbers.
Answer
The equation for a line that has undefined slope and passes through (3,5) is x = 3Let me know if you have any doubts!
plz i REALLY need help. explain ur answer
Answer:
#16f(x) = 3(x² + 2),the y -intercept is:
f(0) = 3(0 + 2) = 6The y-intercept of h(x) is
-6 (from table)Correct choice is M
#17
Number of students who will not eat food served at school is 47,
total number of students is 410
Required probability is:
P = 47/410*100% = 11.46%The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the graph?
(−9, −2)
(−17, −2)
(−2, −17)
(−2, −9)
Answer:
D) [tex](-2,-9)[/tex]
Step-by-step explanation:
Vertex Form of a Vertical Parabola:
[tex]y=a(x-h)^2+k[/tex]
Vertex -> [tex](h,k)[/tex]
Axis of Symmetry -> [tex]x=h[/tex]
Vertical Scale Factor -> [tex]a[/tex]
To turn [tex]f(x)=x^2+4x-5[/tex] into vertex form, we need to complete the square on the right sideTherefore, if [tex]f(x)=0[/tex], then [tex]0+9=x^2+4x-5+9[/tex] completes the square on the right side This becomes [tex]9=(x+2)^2[/tex]This means that our function in vertex form is [tex]f(x)=(x+2)^2-9[/tex]Therefore, the vertex of the graph is [tex](h,k)=(-2,-9)[/tex].
The coordinates of the vertex of the graph is (-2, -9).
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given is a quadratic function,
x² + 4x - 5
Given that axis of symmetry of the function is x = -2.
So the x coordinate of the vertex = -2.
y coordinates = f(-2) = 4 - 8 - 5 = -9
Hence the vertex is (-2, -9).
Learn more about Vertex form here :
https://brainly.com/question/13921516
#SPJ5
A=(a+b)h
Work out the value of h when A = 38.64, a = 5.5 and b = 3.7.
Answer:
h = 8.4
Step-by-step explanation:
38.64 = [tex]\frac{(5.5+3.7)h}{2}[/tex]
38.64(2) = 9.2h
77.28 = 9.2h
h = 77.28/9.2
h = 8.4
Determine the interest paid on an investment of $2700 for 3years at a rate of 7.5% per annum compound interest
Step-by-step explanation:
hope you have understood.
What is the solution to the linear equation?
2.8y + 6 + 0.2y = 5y – 14
Answer:
2y +3x
Step-by-step explanation:
sjsjdjdsndnjssje
A cell phone company dropped the price by 7%. Which expression shows the new price of the phones(p)? A 0.07p B p-1.07 C p-0.07 D p-0.07p E 0.93p
Answer:
option D
Step-by-step explanation:
Let the price be p
7% of price = 0.07p
Price after decrease = p - 0.07p
Evaluate yx^y - xy^x for x = 1/2 and y=4.
A: -3/4
B: -1/2
C: 1/4
D: 3/4
Answer:
b
Step-by-step explanation:
Pls help quicky! I will also give a brainliest!!!!!
Answer:
A) 7.12
Step-by-step explanation:
Simply, subtract 10.52 by 3.4 to get your answer or plug in each answer until you get 10.52
Hope this helps, good luck! :)
PLEASE HELP ME!!! I WILL GIVE BRAINLIEST
Answer: x = 5 p = 288
Step-by-step explanation:
6x-8 = 22
6x = 30
x = 5
75 =p/4 + 3
p/4 = 72
p = 288
Answer:
the first one will be
x=5
Solve for y.
-24 = -8y
Simply your answer as much as possible.
Answer:
Y=3
Step-by-step explanation:
-8 times 3 equals -24
Answer:
y = -3
Step-by-step explanation:
-24 = 8y
Divide both side by 8
-24/8 = 8y/8
-24/8 = y
divide -24 by 8 to get -3
-3 = y
rewrite ..( optional )
y = -3
Help I’ll mark as brainliest!!
Answer:
8
Step-by-step explanation:
Your welcome! :)
Good Luck!
Please help...*puppy eyes*
(Will pick brainliest)
Step-by-step explanation:
Note that the denominators in the expression are perfect squares:
[tex] {x}^{2} - 5xy + 6 {y}^{2} = (x - 2y)(x - 3y)[/tex]
[tex] {x}^{2} - 4xy + 3 {y}^{2} = (x - y)(x - 3y)[/tex]
[tex] {x}^{2} - 3xy + 2 {y}^{2} = (x - y)(x - 2y)[/tex]
We can then write the given expression as
[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]
[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]
[tex] = \frac{1}{(x - 2y)(x - 3y)} + \frac{a}{(x - y)(x - 3y)} + \frac{1}{(x - y)(x - 2y)}[/tex]
[tex] = \frac{(x - y)(x - 2y) {(x -3y)}^{2} + a {(x - y)}^{2} (x - 2y)(x - 3y) + (x - y){(x - 2y)}^{2}(x - 3y) }{ {(x - y)}^{2} {(x - 2y)}^{2} {(x - 3y)}^{2} } [/tex]
Hello there, could you please help me? Thank you
Answer:
24
Step-by-step explanation:
Segment AC is 1/2 of segment AB so 12+12=24
Hope this helps
Christian has six grades from test and IXL. They are all weighted equally. If Christian's grades are 100,96,96,88,70, and 100, what is thhe current average grade? (Round to the nearest whole number)
Answer:
100+96+96+88+70+100=550
550 divided by 6 is 91 1/3
92 is his current grade
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
The answer is -20.
Step-by-step explanation:
To evaluate the expression, plug x= -3 and y= -5 into the expression. By plugging in the information given from the problem, the expression will look like 4(-3) + 3(-5) + 7.
Next, solve the expression, and the answer will be -20.
Can someone help me with this question please
Can I get help ?!:) pleasee
Answer:
9, not 54
Step-by-step explanation:
2/3 an also be 6/9 and 1/9
Answer:
18
Step-by-step explanation:
The LCM of 6 and 9 is 18
Then the least common denominator is 18
Solve using suitable property and name the property applied. 3/5 x 35/24 + 15/6 x 3/5
Find values of x, HJ, and JK.
Answer:
x = 2, HJ = JK = 11
Step-by-step explanation:
Given that H is the midpoint of JK , then
HJ = JK = 6x - 1 and
HJ + JK = JK , that is
6x - 1 + 6x - 1 = 3x + 16 ← simplify left side
12x - 2 = 3x + 16 ( subtract 3x from both sides )
9x - 2 = 16 ( add 2 to both sides )
9x = 18 ( divide both sides by 9 )
x = 2
Then
HJ = JK = 6x - 1 = 6(2) - 1 = 12 - 1 = 11
What is the slope of the linear function of (6 , 2) (9 , 8)
Answer:
1/2
Step-by-step explanation:
The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
9-6=3
8-2=6
3/6=1/2
Does this graph represent a function? Why or why not?
Answer:
B yes
Step-by-step explanation:
As long as a verticle line intercepts the graph at no more than one point it is a function
Answer:
B. Yes, because it passes the vertical line test
Step-by-step explanation:
no x values are repeated
MAX POINTS AND BRAINLIEST
Use the table below to write an equation in slope intercept form. How did you find the slope and the y intercept of the equation?
Answer:
y = 8x+9
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= ( 57-17)/(6-1)
= 40/5
= 8
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = 8x+b
Substitute a point into the equation
33 = 8*3 +b
33 = 24+b
Subtract 24 from each side
33-24 = 24+b-b
9 = b
y = 8x+9
#equation
(1,7)(3,33)Slope
m=33-17/3-1m=16/2m=8.Now
y-y_1=m(x-x_1)y-17=8(x-1)y-17=8x-8y=8x+9On comparing to slope intercept form
y intercept is 9
Peter wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and looks up. The angle of elevation to the top of the tree is 23 degrees. About how toll is the tree
feet tall
The tree is about _____ feet tall
Step-by-step explanation:
everything can be found in the picture
PLEASE HELP! Joe was holding a kite with his hand 5' off the ground. The kite string is 125' long and has an angle of elevation of 56 degrees. How high off the ground is the kite?
Answer: 108.629 inches off the ground. (Round to any decimal place!)
Hi there! This is very similar to a question that I had yesterday, so I will do my best to try to answer it! I’m only in middle school, so this may not be correct :)
Step-by-step explanation:
First set up a diagram. The length of the string is the hypotenuse, and the angle of elevation is as pictured below. Use SOH CAH TOA to find the correct ratio, and then solve for “x”. Once you solve for “x” (height) add the 5 inches to the total, and your answer will be there! :)
Let r(x)=x^2.If r(x)=4,find x
A.2
B.-2
C.4
D.Both 2 and -2 are correct
E.None of these choices are correct