Angle A is x. Angle B is 20 more than angle A. If angles A and B are supplementary angles, find the value of x.
Answer:
9
Step-by-step explanation:
that's because angle B is twice angle A in which they add up to 180 because they are supplementary angles
20x=180
divide both sides by 20
in which
x=9
Michelle will sell her homemade necklaces for $8 each at a craft fair. It costs her $150 for the booth rental at the craft fair.
She made 200 necklaces to sell.
Part B Michelle wants to graph the equation for her profit from selling her necklaces. The y-intercept of this graph will be
her profit from selling none of her necklaces.
What is the y-intercept of the graph of the equation that represents Michelle's profit from selling her necklaces?
Answer:
The y-intercept is y = -$150
Step-by-step explanation:
We know that:
Each necklace is sold for $8.
The total cost for Michelle is $150.
The profit equation is:
Profit = Revenue - Cost.
We already know that Cost = $150
The revenue will depend on x, the number of necklaces sold, so if each one costs $8, and she sells x of them, the revenue is:
Revenue = $8*x
Then the profit, as a function of x, is:
y = P(x) = $8*x - $150
Where y represents the profit.
Now we want to find the y-intercept of the profit equation, where the y-intercept is the y-value when we use x = 0
Then the y-intercept is:
P(0) = $8*0 - $150 = -$150
Also the graph of the equation can be seen below, where you need to remember that x can be any value in [0, 200] and only can be an integer.
So you only need to graph the line between x = 0 and x = 200.
an initial population of 327 pheasant increases at an anual rate of 15% write an exponential function to model the quail population
Answer:
y= 327(0.85)^t
Step-by-step explanation:
Given data
Initial Population= 327
Increase= 15%
The model for an exponential function is represented as
y= P(1-r)^t
Substitute
y=327(1-0.15)^t
y= 327(0.85)^t
What is the value of the expression “three less than the quotient of ten and a number, increased by six” when n = 2?
A. 2
B. -7/4
C. 8
D. 19/2
Answer: 8
Step-by-step explanation:
Right on edge!
True or False:
(2x2 - 3x) - (4x2 - x) = -2x2 - 2x
Answer:
True??????? I guess
Step-by-step explanation:
Answer
It is true
you just solve for x on the left side first then the same on the right they should be the same
i think this is how i would do it
Ill give brainllest
what is 18+26+37+36+8+28?
Answer:
153
Step-by-step explanation:
Answer:
18+26+37+36+8+28 = 153
hope this helps!
Write the standard equation of the circle if the center is (-1,2), and a point on the circle is (2,6).
Plz help me someone
Answer:
(x+1)²+(y-2)² = 25
Step-by-step explanation:
Standard equation of the circle is expressed as;
(x-a)²+(y-b)² = r²
(a,b) is the center of the circle
r is the radius
Get the radius
r = √(x2-x1)²+(y2-y1)²
r = √(2+1)²+(6-2)²
r = √3²+4²
r = √9+16
r = √25
r = 5
Substitute into the formula
(x-a)²+(y-b)² = r²
a = -1, b = 2, r = 5
(x-(-1))²+(y-2)² = 5²
(x+1)²+(y-2)² = 25
This gives the required equation
If \orange{\angle ADC}∠ADCstart color #ffa500, angle, A, D, C, end color #ffa500 measures 23^\circ23 ∘ 23, degrees, what does \blue{\angle ABC}∠ABCstart color #6495ed, angle, A, B, C, end color #6495ed measure?
Answer:
23 degrees
Step-by-step explanation:
First add a diameter. The triangle \pink{ABD}ABDstart color #ff00af, A, B, D, end color #ff00af is isosceles as \pink{AB}ABstart color #ff00af, A, B, end color #ff00af and \pink{BD}BDstart color #ff00af, B, D, end color #ff00af are radii, so must be equal. Therefore, \pink{\angle{BAD}}∠BADstart color #ff00af, angle, B, A, D, end color #ff00af and \orange{\angle{ADB}}∠ADBstart color #ffa500, angle, A, D, B, end color #ffa500 are equal. Since, the angles in a triangle sum to 180^\circ180 180∠ABD+∠BAD+∠ADB∠ABD+2⋅∠ADB∠ABD===180∘180∘180∘−2⋅∠ADB
So, \blue{\angle{ABE}} = 2 \cdot \orange{\angle{ADB}}∠ABE=2⋅∠ADBstart color #6495ed, angle, A, B, E, end color #6495ed, equals, 2, dot, start color #ffa500, angle, A, D, B, end color #ffa500. We can also create an isosceles triangle, \pink{BCD}BCDstart color #ff00af, B, C, D, end color #ff00af.Using the same argument we can find that, \blue{\angle{CBE}} = 2 \cdot \orange{\angle{CDB}}∠CBE=2⋅∠CDBstart color #6495ed, angle, C, B, E, end color #6495ed, equals, 2, dot, start color #ffa500, angle, C, D, B, end color #ffa500.∠ABC=∠ABE−∠CBEstart color #6495ed, angle, A, B, C, end color #6495ed, equals, start color #6495ed, angle, A, B, E, end color #6495ed, minus, start color #6495ed, angle, C, B, E, end color #6495ed
\orange{\angle{ADC}} = \orange{\angle{ADE}} - \orange{\angle{CDE}}∠ADC=∠ADE−∠CDEstart color #ffa500, angle, A, D, C, end color #ffa500, equals, start color #ffa500, angle, A, D, E, end color #ffa500, minus, start color #ffa500, angle, C, D, E, end color #ffa500
Hint #1010 / 11
Since \blue{\angle{ABE}} = 2 \cdot \orange{\angle{ADE}}∠ABE=2⋅∠ADEstart color #6495ed, angle, A, B, E, end color #6495ed, equals, 2, dot, start color #ffa500, angle, A, D, E, end color #ffa500 and \blue{\angle{CBE}} = 2 \cdot \orange{\angle{CDE}}∠CBE=2⋅∠CDEstart color #6495ed, angle, C, B, E, end color #6495ed, equals, 2, dot, start color #ffa500, angle, C, D, E, end color #ffa500, \blue{\angle{ABC}} = 2 \cdot \orange{\angle{ADC}}∠ABC=2⋅∠ADCstart color #6495ed, angle, A, B, C, end color #6495ed, equals, 2, dot, start color #ffa500, angle, A, D, C, end color #ffa500
Hint #1111 / 11
So, \orange{\angle{ADC}} = \frac{1}{2} \cdot \blue{46^\circ} = 23^\circ∠ADC=
2
1
⋅46
∘
=23
∘
start color #ffa500, angle, A, D, C, end color #ffa500, equals, start fraction, 1, divided by, 2, end fraction, dot, start color #6495ed, 46, degrees, end color #6495ed, equals, 23, degrees
Choose all the numbers that are multiples of both 3 and 6.
A. 9
B. 24
C. 27
D. 30
E.45
A, C and d are correct 9,27 and 30
what is 6÷2 squaredwhat is 6 ÷ 2 squared
Answer:
(6/2)² = 3² = 9
6²/2² = 36/4 = 9
Answer:
9
Step-by-step explanation:
6/2 is 3
squaring three we get 3 to the power of two or 3x3
3x3=9
3 squared is 9
The perimeter of a rectangle is 202020 centimeters. The length is 666 centimeters. What is the area of the rectangle?
Answer: 24 cm²
Step-by-step explanation:
To find the area, first find the width of the rectangle.
Perimeter = (2 * Length) + (2 * Width)
20 = (2 * 6) + (2w)
20 = 12 + 2w
2w = 20 - 12
w = 8/2
w = 4 centimeters
Area = Length * Width
= 6 * 4
= 24 cm²
12 + x/4 = 9
Simplify Plz need ASAP
Answer: X = -12
Step-by-step explanation: 1) 12 + x/4 = 9
2) 12 + x/ 2^2 = 9
3) x/ 2^2 + 12 = 9
An 18-ft tall tree casts a shadow of 25 feet. Find the angle of elevation of the sun.
Answer:
46.05degrees
Step-by-step explanation:
Given the following
Height of tree = 18ft (Opposite)
length of shadow = 25ft (hypotenuse)
Required
Angle of elevation
Sin theta = opp/hyp
Sin x = 18/25
sin x = 0.72
x = arcsin(0.72)
x = 46.05
Hence the angle of elevation of the sun is 46.05degrees
The rectangle below has an area of x ^ 2 - 16 square meters and a width of x + 4meters . What expression represents the length of the rectangle?
Answer:
length=x-4
Step-by-step explanation:
An architect designs two similar triangular patios. The first patio has angle measures of (x + 5)°, (y + 15)°, and 80°. The second patio has angle measures of (x + 25)°, 40°, and 60°. Find the values of x and y. please answer fast! i just need this one!
Answer:
x = 55° and y = 25°
Step-by-step explanation:
Since we have two triangular patios with angles (x + 5)°, (y + 15)°, and 80° and the second patio has angles, (x + 25)°, 40°, and 60° respectively, and the sum of angles in a triangle is 180, we have that,
(x + 5)° + (y + 15)° + 80° = 180° and
(x + 25)° + 40° + 60° = 180°
Simplifying both expressions, we have
x + 5° + y + 15° + 80° = 180° and
x + 25° + 40° + 60° = 180°
collecting like terms, we have
x + y + 5° + 15° + 80° = 180° and
x + 25° + 40° + 60° = 180°
Adding the like terms, we have
x + y + 100° = 180° and
x + 125° = 180°
So,
x + y = 180° - 100° and
x = 180° - 125°
Thus,
x + y = 80° and
x = 55°
So, y = 80° - x = 80° - 55° = 25°
So, x = 55° and y = 25°
I need help plzzzzzzz help24+4x=6x+2
Answer:
x = 11
Step-by-step explanation:
24+4x=6x+2
substract 2x from both sides 4x-4x and 6x -4x
24 = 2x + 2
Substract 2 from both sides 24-2 and 2-2
22 = 2x
Divide by 2 to both sides 22/2 and 2x/2
x = 11
Line w passes through the coordinate points (3,1) and (−6, −2). What is the slope of w?
F. −3
G. −1/3
H. 1/3
J. 1
K. 3
Find 2a for a = 3-
4
= 34
Answer:
68
Step-by-step explanation:
2a
2x34(adding value of a)
68
Sam and Jeremy have ages that are consecutive odd integers. The product of their ages is 399. Find the numbers.
Answer:
The answer is 3
Step-by-step explanation:
Graph the equation using the point and the slope.
y-4= 1/2(x-4)
Answer:
Look at the explanation
Step-by-step explanation:
From this equation, we know our point slope form: y-4= 1/2(x-4)
From here, we also know our point: (4,4)
Our slope is 1/2
We first plot (4,4) on the graph. Then we graph the slope by moving one space up from (4,4) and moving over two spaces.
Our graph would look something like this:
from the chapter Rational Numberssome body please answer fast
Answer:
- [tex]\frac{3}{7}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{42}{98}[/tex] ← divide numerator/ denominator by 14 )
= - [tex]\frac{3}{7}[/tex]
Find the volume of the cylinder
What is the exact volume in terms ofx?
What is the approximate volume using 3 14 forx?
9514 1404 393
Answer:
5000π mm³ ≈ 15,700 mm³
Step-by-step explanation:
The volume of the cylinder is given by the formula ...
V = πr²h
For the given radius and height, the volume is ...
V = π(10 mm)²(50 mm) = 5000π mm³
Using 3.14 for π, the volume is ...
5000(3.14) mm³ = 15,700 mm³
Will mark Brainliest
Answer:
A= pi r²
Step-by-step explanation:
Sorry i dont know how to do the pi symbol
Answer:
( x + 2 )² + ( y - 1 )² = 25
Step-by-step explanation:
Circle equation - ( x - h )² + ( y - k )² = r²
Important notes:
(h,k) = center
r = radius
The first step would be to find the center
( it's hard to explain how to find the center point virtually but the center point is at (-2,1) )
Like stated before ( h , k ) = center point
* replace center point with (-2,1) *
( h , k ) = ( -2 , 1 )
h = -2
k = 1
* plug in the h and k values into the circle equation *
now we have ( x - ( -2) )² + ( y - 1 )²
Now to find the radius
We can find the radius by using the distance formula with the center point and any point on the circle's outline
The point chosen can vary but i chose (3,1)
Because the y value of the chosen point and the y value of the center are the same we can simply subtract the larger x value by the smaller x value to find the radius
3 - (-2)
the two negative signs cancel out
3 + 2 = 5
So the radius equals 5
* plug in the value of the radius into the equation *
Now we have
( x - (-2) )² + ( y - 1 )² = 5²
our final step is to simplify
- (-2) the two negative signs cancel out and it turns into +2
5² = 25
Our final answer would be ( x + 2 )² + ( y - 1 )² = 25
Could someone please help me with me two previous math questions?? Thx!!
I d k ok soourrrrru okokikokkkkk
I NEED HELP WITH THIS ASAP!!
The equations are ABC and the word stories are 123
The answers are as followed
C and 1
A and 2
B and 3
Hope this helped and have an amazing day :)
-yO mAmA
Answer:
1st story: 3(x+5) = 17
2nd story: 3x+5 = 17
3rd story: 5x+3 = 17
PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my computer is slow and no ctrl c ctrol v if possible (see picture below)
Answer:
down below
Step-by-step explanation:
so the volume of a cone is 1/3 of the volume of the cylinder.
[tex]V=\frac{1}{3} *108\pi \\V=36\pi[/tex]
Answer:
B) 36π
Step-by-step explanation:
cone volume = 1/3 cylinder volume so:
1/3(108π) = 36π
HELP PLS
have this math assignment due in an hour
Look at the following graph and determine the slope of the line.
Answer:
1/2
Step-by-step explanation:
That be your answer mate.
Simplify 2x^2-7x-4/x^2-5x+4 What are the excluded values
Answer:
x = 1
Step-by-step explanation:
Given
[tex]\frac{2x^2-7x-4}{x^2-5x+4}[/tex] ← factor numerator and denominator
= [tex]\frac{(x-4)(2x+1)}{(x-4)(x-1)}[/tex] ← cancel (x - 4) on numerator/ denominator
= [tex]\frac{2x+1}{x-1}[/tex]
The denominator of the rational expression cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.
x - 1 = 0 ⇒ x = 1 ← excluded value
Answer:
On edge it is D, 1 and 4
Step-by-step explanation:
Why was it impossible to find this answer
600% of what number is 5,100