Answer:
50 degrees
Step-by-step explanation:
50 degrees because angle 2 is its vertical angle
how many even numbers are between 11 and 30
Answer:
9 even numbers are between 11 and 30.
Step-by-step explanation:
12, 14, 16, 18, 20, 22, 24, 26, 28
Which function is graphed below
Answer:
Step-by-step explanation:
Graph given for the function has three segments therefore, its a piecewise function.
For a segment lying between (2, ∞)
Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{2}{1}[/tex]
= 2
y-intercept of the line = -2
Therefore, equation of the line will be,
y = 2x - 2
Second segment is a straight line,
Equation of the line will be,
y = 4
Third segment is a straight line.
Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{1}{1}[/tex]
= 1
Equation of the line will be,
y = x + b
Since, this line passes through a point (6, 7)
7 = 6 + b
b = 1
Therefore, equation of the third segment will be,
y = x + 1
So the piecewise function will be,
f(x) = 2x - 2 For x < 2
4 For 2≤ x ≤ 5
x + 1 For x > 5
Part II: Find the sine, cosine, and tangent ratios of <y
Answer:
sin θ = 22.62°
cos θ = 22.62°
tan θ = 22.62°
Step-by-step explanation:
From the diagram above
Opposite = 5
Adjacent = 12
Hypotenuse = 13
a) sin θ = Opp/Hypotenuse
sin θ = 5/13
sin θ = 0.3846153846
arc sin 0.3846153846
= 22.619864948°
Approximately = 22.62°
b) cos θ = Adjacent/ Hypotenuse
θ = 12/13
= arccos(0.9230769230769231)
22.619864948°
Approximately = 22.62°
c) tan θ = Opposite/Adjacent
θ = 5/12
= arctan(0.4166666666666667)
= 22.619864948°
= 22.62°
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Find the volume of this cylinder.
Round to the nearest tenth.
8in
2in
[?] in3
Answer:
The answer is 100.5 [tex]in^{3}[/tex].
Step-by-step explanation:
To solve for the volume of the cylinder, use the cylinder volume formula, which is V = [tex]\pi r^{2} h[/tex].
Next, plug in the information given from the problem, and the formula will look like V = [tex](\pi) (2 in^{2}) (8 in)[/tex].
Then, solve the equation, and the answer will be 100.5 [tex]in^{3}[/tex].
An investor paid $156,000 for a condominium in Texas in 2008. The value of the homes in the neighborhood have been appreciating by about 12% annually.
Select all the expressions that could be used to calculate the value of the house, in dollars, after t years.
Answer:
156000 [tex](1.12)^{t}[/tex]
156000 [tex](1+.12)^{t}[/tex]
those are both the same
Step-by-step explanation:
All the correct expressions that could be used to calculate the value of the house, in dollars, after t years is,
⇒ [tex]156,000 (1.12)^t[/tex]
Or, ⇒ [tex]156,000 (1 + 0.12)^t[/tex]
What is mean by mathematical expression?Mathematical expression is defined as the collection of the numbers and variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.
We have to given that;
An investor paid $156,000 for a condominium in Texas in 2008.
And, The value of the homes in the neighborhood have been appreciating by about 12% annually.
Now,
We can formulate;
The value of the house, in dollars, after t years is,
⇒ Amount of house = P (1 + r%)ⁿ
⇒ Amount of house = [tex]156,000 (1 + 0.12)^t[/tex]
⇒ Amount of house = [tex]156,000 (1.12)^t[/tex]
Therefore, We get;
All the correct expressions that could be used to calculate the value of the house, in dollars, after t years is,
⇒ [tex]156,000 (1.12)^t[/tex]
⇒ [tex]156,000 (1 + 0.12)^t[/tex]
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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Make an inference I sit in my seat, as a lady at the piano plays a soft melody. Each chair in the auditorium is decorated with white flowers. Everyone is wearing pretty clothes with lace and silk. I am wearing a puffy pink dress. The lady at the piano plays a new song. Everyone stands, and the back doors of the auditorium open. The bride steps inside. Where am I?
Answer:
Standing in front of your seat
Analyze the diagram below and complete the instructions that follow.
Three numbers are in consecutive arithmetic progression. if the sum of the numbers is 18 and their products is 120. find the numbers
Answer:
2 6 10
Step-by-step explanation:
have :
a + b +c = 18
a*b*c = 120
a+c = 2*b => 3*b = 18 => b = 6
then a = 2, c = 10
There are 2 mystery books, 2 romance books, 2 poetry books to be randomly placed on a shelf. What is the
probability that the mystery books are next to each other, the romance books are next to each other, and the
poetry books are next to each other? (For example, MMRRPP).
Answer:
there would be a 2 out of 6 chance i think
Step-by-step explanation:
What is the prime factorization of 43? Enter your answer as a product of prime numbers, like 2 x 3 or as a single prime number, like 17.
Answer:
43
Step-by-step explanation:
43 is a prime number
What is the common factor in the expression 6ba + 2ab? *
Answer:
2ab
Step-by-step explanation:
6ba + 2ab = 2ab(3+1)
= 2ab (4)
so, the common factor = 2ab
Answer:
2ab
Step-by-step explanation:
determine the equation of the circle graphed below.
Answer:
(x - 5)² + (y - 5)² = 18
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (5, 5) , then
(x - 5)² + (y - 5)² = r²
r is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (5, 5) and (x₂, y₂ ) = (8, 8)
r = [tex]\sqrt{(8-5)^2+(8-5)^2}[/tex]
= [tex]\sqrt{3^2+3^2}[/tex]
= [tex]\sqrt{9+9}[/tex]
= [tex]\sqrt{18}[/tex] ⇒ r² = ([tex]\sqrt{18}[/tex] )² = 18
Then
(x - 5)² + (y - 5)² = 18 ← equation of circle
Help pls it easy for everyone, i need it before 20 mins plss
ill be giving brainlist:( please help
Answer:
Step-by-step explanation:
The translation vector < 4, - 2 > means each point is being moved 4 units to the right and 2 units down.
X(0, 3) ------> X' ( 0 + 4, 3 - 2 ) = X'(4, 1)
Y( - 1, 1) ------> Y' ( - 1 + 4, 1 - 2 ) = Y'(3, - 1)
Z( - 3, 4) -----> Z' ( - 3 + 4, 4 - 2 ) = Z'(1, 2)
A car covered 450km in 5 hours. find the speed in meters per second
Step-by-step explanation:
Hey there!
Given;
Distance (d) = 450 km = 450*1000 = 450000 m
Time(t) = 5 hours = 5*60*60 = 18000s
Now;
Speed (s) = Distance (d) /Time(t)
Or, s = 450000/18000
Or, s = 25m/s.
Therefore, the speed is 25m/s.
Hope it helps!
Answer:
The car has a velocity of 25 m/s.
Step-by-step explanation:
There are two ways to solve this problem.
First way :
450km = 450.000m
5h = 5x 3.600s =18.000s
v = s/t = 450.000 / 18.000 = 25m/s
Second way :
Velocity = speed/time = 450 / 5 = 90 km/h
90/3.6 = 25 m/s
Either way, the car has a velocity of 25 m/s.
Put these numbers in order from least to greatest.
0.86, 0.54,5/6, and 0.44
Answer:
Because this fraction is where its value is at
Step-by-step explanation:
0.44 54. 5/6 0.86
Step-by-step explanation:
.44
.54
5/6 = 0.8333 which is smaller than
0.86
What is the measure of RPQ
Answer:
239
Step-by-step explanation:
SP is the diameter so Arc RP is supplementary to Arc SR
[tex]31 + x = 180[/tex]
[tex]x = 149[/tex]
Arc PQ is supplementary to Arc SQ so
[tex]90 + x = 180[/tex]
[tex]x = 90[/tex]
Arc Addition:
[tex]149 + 90 = 239[/tex]
Name five whole numbers that can be expressed as the difference of two perfect squares. Show the math!
Need help on this question asap pleasee
Answer:
9 pounds
that's the answer
What reflection would place △ABC into the same orientation as △XYZ? Show what the diagram looks like after the reflection
I rlly need some help
Answer:
5/3π or 5.2
Step-by-step explanation:
30 / 360 = x / 20π
then x = 5/3π or 5.2
Answer:
5/3 [tex]\pi[/tex]
Step-by-step explanation:
30/360 * 2 [tex]\pi 10[/tex]
1/12 * 2 [tex]\pi 10[/tex]
20/12 [tex]\pi[/tex]
5/3 [tex]\pi[/tex]
How many meters of wire is needed to fence around this garden whose sides are 16m by 12m? ( not drawn to scale)
Answer: 56 m
Step-by-step explanation:
Given
The dimension of the garden is [tex]16\ m\times 12\ m[/tex]
So, the wire needed to fence around it is equal to the perimeter of the garden
[tex]\Rightarrow P=2(16+12)\\\Rightarrow P=2\times 28\\\Rightarrow P=56\ m[/tex]
minus 15 over minus 4
Answer:
3.75
Step-by-step explanation:
Which equation has the least steep graph A. y = 2x + 1 B. y = -7x-2 C. y=-3/4x-9 D. y = 1/4x+6
Answer:
D. y = 1/4x + 6
Step-by-step explanation:
In the linear equation y = mx + b, m is the slope.
A graph will be steeper if it has a larger slope, and less steep if it has a smaller slope.
So, to find which equation has the least steep graph, find which one has the smallest slope.
Out of the 4 equations, the smallest slope is 1/4. Although -7 is the smallest number, it still has a steep slope. The negative sign just makes it go in the other direction.
So, the equation with the least steep graph is D. y = 1/4x + 6
Answer:D
Y= 1/4x +6
Step-by-step explanation:
Help please I would really appreciate it thank you so much
Answer:
12 in the first blank
20 in the second one
Step-by-step explanation:
12 because it is 8+4
20 because it is 60/3
What is the lateral area of the figure below. Use 3.14 for pi and round to
two decimals. *
8 mm
4 mm
Answer:
[tex]838.67mm {}^{2} [/tex]
Step-by-step explanation:
Note
Area of a cone = 1/3pir squared * heightWhat is the surface area of a cube that measures 4 inches on each side?
____ square inches
Answer:
96 Square inches
Step-by-step explanation:
because the formula of the surface of the cube is l x l x 6 so 4 x 4 x 6
excuse me for my bad English but I am italian
I don’t get this question can someone plz help meee
Answer:
-16
Step-by-step explanation:
Given that the first term is -10 .
=> a1 = -10 .
General formula:-
=> a_n = a_n -1 + 3 .
Therefore , the common difference :-
=> 2nd term - 1 term
=> a_n-1 - a_n = -3
nth term of the AP is ,
=> T_n = a + (n-1)d
=> T_3 = -10 + (3-1) × -3
=> T_3 = -10 + -6
=> T_3 = -16 .
Which of the two data sets shown in the box
plots below has the greater mean?
Answer:
Step-by-step explanation:
Remember that the mean is average
Ex. Set A
Add then divide by the 8
How do you write 7.7 x 102 in a standard form?
Answer:
is this supposed to say 7.7 x [tex]10^{2}[/tex] ? if so then it's 770 (you move the decimal over 2 places to the right)
Step-by-step explanation:
7.7 × 10^2
is 770
hope it helps