a) Find the center-radius form of the equation of the circle with center (0,0) and radius 12.
b) Graph the circle.
a) The center-radius form of the equation of the circle is
(Type an equation.)
Answer:
The general equation of circle is given by:
(x-h)² + (y-k)² = r², where, (h,k) is the center and 'r' is the radius of circle.
Here, (h , k) = (0, 0) and r = 12
∴ Equation of circle is (x-0)² + (y-0)² = 12²
or, x² + y² =144
Here is a representation showing the amount of red and blue paint that make 2 batches of purple paint. a. On the double number line, label the tick marks to represent amounts of red paint (cups) red and blue paint used to make blue paint (cups) batches of this shade of purple paint. a. How many batches are made with 12 cups of red paint? red paint (cups) + b. How many batches are made with 6 cups of blue paint? blue paint (cups)
Answer:
Step-by-step explanation:
Please answer thank you !!!
haha u got go gairdian too
1/3 x 6/7=?
How do you multiply fractions?
Answer: 2/7
Step-by-step explanation:
You take the top numbers and multiply them and then take the bottom numbers and multiply them and then you simplify.
1/3 × 6/7 = 6/21 = 2/7
To multiply fractions we'll multiply numerator with the numerator and denominator with the denominator and simplify (1/3 × 6/7) = 6/21 = 2/7.
What are fractions?Fractions are written in p/q form,where q ≠ 0 as it would become undefined.Fractions are of two types one is proper fraction and another one is improper fraction.
A fraction is is the form of numerator divided by the denominator.
To multiply two or more fraction we simply have to multiply numerator with the numerator and denominator with the deominator to combine them into one fraction and then we simplify the combined fraction until both the numerator and the denominator has HCF of 1.
Given (1/3 × 6/7) which is,
= 6/21.
= 2/7.
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Emma is standing 20 yards from a billboard as shown. The bottom of the billboard (B) is 6 yards above the ground, and the top (T) is 10 yards above the ground. What elevation angles might Emma use in order to read messages on the billboard? Select all that apply.
Answer:
Most reasonable: 16°, 20° and 22°
If Emma is very short, 25°
Step-by-step explanation:
This is trigonometry using Tangent and arc-tan
Tan=opp/adj
The length of the adjacent is 20 yards. The opposite lengths given are the bottom, 6 yards and the top, 10 yards. Assuming Emma is of average height, it seems reasonable to subtract about 1.7 to 1.9 yards, the distance of her eyes above ground level, for accuracy. But that may not be necessary, given the range of angles.
I subtracted 1.8, about 5'6"
Calculating tangent from the top:
8.2/20 = .41. arc-tan .41= 22.3°
tangent for the bottom:
4.2/20= .21 arc-tan .21 = 11.8°
If you are using a scientific calculator, once you have the ratio of the opp to adj in decimal form, use the tan- key then the decimal to convert to degrees.
Find all the missing elements:
B
a
A = 40°
a = 8
b = 7
A
C
b
B = [?]° C = [ ]° c =
C=[ ]
Round to the nearest tenth.
Enter
Answer:
B = 34.2°
C = 58.2° or 121.8°
c= 10.6
Step-by-step explanation:
Step 1
Finding c
We calculate c using Pythagoras Theorem
c²= a² + b²
c = √a² + b²
a= 8, b = 7
c = √8² + 7²
c = √64 + 49
c = √(113)
c = 10.630145813
Approximately c = 10.6
Step 2
Find B
We solve this using Sine rule
a/sin A = b/sin B
A = 40°
a = 8
b = 7
Hence,
8/sin 40° = 7/sin B
8 × sin B = sin 40° × 7
sin B = sin 40° × 7/8
B = arc sin (sin 40° × 7/8)
B ≈34.22465°
Approximately = 34.2°
Step 3
We find C
Find B
We solve this using Sine rule
b/sin B = c/sin C
B = 34.2°
b = 7
c = 10.6
C = ?
Hence,
7/sin 34.2° = 10.6/sin C
7 × sin C = sin 34.2 × 10.6
sin C = sin 34.2° × 10.6/7
C = arc sin (sin 34.2° × 10.6/7)
C = arcsin(0.85)
C= 58.211669383
Approximately C = 58.2°
Or = 180 - 58.2
C = 121.8°
Answer:
C=105.8 degrees. c=12
Step-by-step explanation:
What happens when you add and subtract like fractions
Answer:hey must have the same denominator (the bottom value). If the denominators are already the same then it is just a matter of either adding or subtracting the numerators (the top value). If the denominators are different then a common denominator needs to be found.
Step-by-step explanation:
The sum of two numbers is 40. One number is 4 times as large as the other. What are the numbers?
Answer:
4x+x=40
5x+40
x=8
8, 32
Step-by-step explanation:
Answer:
8 and 32 are the numbers
Step-by-step explanation:
4x + x = 40
4x + x= 5x
5x + 40
40/5= 8
x= 8
and
40-8= 32
x= 32
Nancy has 7 boxes of tomatoes. Each day, she picks another
2
box. How many boxes of
tomatoes will Nancy have in 6 days? Write an equation, complete the table, and then graph to
solve the problem.
Answer:
19 boxes of tomatoes
Step-by-step explanation:
If she starts with 7 boxes of tomatoes and she picks 2 more each day for 6 days then you can multiply 2 by 6 and get 12 tomatoes then you add the 7 boxes she originally started with and you get 19 boxes of tomatoes.
The number of boxes Nancy had after 6 days is 19, the equation representing the given phrase is y = 2x + 7, and the graph is attached below.
What is graph?A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.
Given:
Nancy has 7 boxes of tomatoes,
Each day, she picks another 2 boxes,
The equation which will represent the above phrase is shown below,
Total number of tomatoes = The number of tomatoes she already had + number of days × each day's tomatoes picked by Nancy,
Assume the total number is y and the number of days is x then,
y = 7 + 2 × x
y = 2x + 7
Put the value of x = 6,
y = 2 × 6 + 7
y = 12 + 7
y = 19
Thus, she has a total of 19 boxes of tomatoes after 6 days.
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Help asap please!!!!
I think the answer might be y=4
When x pounds of force is applied to one end of a lever that is L feet long, the resulting force y on the other end is
determined by the distance between the fulcrum (the lever's pivot) and the end of the lever on which the x pounds
of force is exerted,
Which answer shows two pairs of adjacent in the figure
Answer:
Supplementary angles
Step-by-step explanation:
Definition of supplementary angles :
"If the sum of two adjacent angles is 180°, angles are said to be supplementary angles."
m∠ABC + m∠CBD = 90° + 90° [Given]
m∠ABC + m∠CBD = 180°
Therefore, both the angles are supplementary angles.
The cost of making copies at Store W is $14 regardless of the number of copies. The cost of making copies at Store Z is 60cents per copy plus a $2 charge for the use of the machine. The total cost, c, of making n copies at either store can be represented by an equation. Write and graph a system to find how many copies you have to make for the cost to be the same at both stores. Use pencil and paper. If you have to make a small number of copies which store should you go to? If you have to make a large number of copies which store should you go to? Explain.
Answer:
store w: c = $14
store z: c = 0.60n + 2
Step-by-step explanation:
i had a similiar question with different numbers so i just changed the numbers for ur equation :)
The equation to make for the cost to be the same at both stores would be; 14 = 0.60n + 2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are given that cost of making copies at Store W is $14 regardless of the number of copies. And the cost of making copies at Store Z is 60 cents per copy plus a $2 charge for the use of the machine.
The total cost, c, of making n copies at either store can be represented by an equation as;
The store w:
c = $14
The store z:
c = 0.60n + 2
Solving for n then
14 = 0.60n + 2
0.60n = 12
n = 20
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i need help with this
Solve
-21 = -9 + 2/3b
Final Answer: [tex]b = -18[/tex]
Steps/Reasons/Explanation:
Question: Solve [tex]-21 = -9 + \frac{2}{3}b[/tex].
Step 1: Simplify [tex]\frac{2}{3}b[/tex] to [tex]\frac{2b}{3}[/tex].
[tex]-21 = -9 + \frac{2b}{3}[/tex]
Step 2: Regroup terms.
[tex]-21 = \frac{2b}{3} - 9[/tex]
Step 3: Add [tex]9[/tex] to both sides.
[tex]-21 + 9 = \frac{2b}{3}[/tex]
Step 4: Simplify [tex]-21 + 9[/tex] to [tex]-12[/tex].
[tex]-12 = \frac{2b}{3}[/tex]
Step 5: Multiply both sides by [tex]3[/tex].
[tex]-12[/tex] × [tex]3 = 2b[/tex]
Step 6: Simplify [tex]-12[/tex] × [tex]3[/tex] to [tex]-36[/tex].
[tex]-36 = 2b[/tex]
Step 7: Divide both sides by [tex]2[/tex].
[tex]-\frac{36}{2} = b[/tex]
Step 8: Simplify [tex]-\frac{36}{2}[/tex] to [tex]-18[/tex].
[tex]-18 = b[/tex]
Step 9: Switch sides.
[tex]b = -18[/tex]
~I hope I helped you :)~
Hello! Please answer this question with all of the info it is asked for. Please be sure to include all of your work and share any of your thoughts you had when solving. Please do not answer unless you know the answer. Thanks! Good Luck!
3) A diver springs up off of a diving board at an initial velocity of 24 ft/sec. The diving board is 30 feet above the water. The function that models the diver's height is: h(t) = -16t^2 + 24t + 30.
a) Find how long it takes for the diver to reach maximum height. Why can't we double this time to find how long the diver is in the air before hitting the water?
b) Determine the maximum height of the diver.
c) How far is the diver from the water after 2 seconds?
Answer:
a) 3/4 secb) 39 feetc) 14 feetStep-by-step explanation:
Given function:
h(t) = -16t^2 + 24t + 30a) Maximum height is the vertex of the graph. Time needed:
t = -24/2(-16) = 24/32 = 3/4 secIf we double this time then diver will pass the peak point and it doesn't double the height
b) Maximum height is at vertex:
h(3/4) = -16*(3/4)^2 + 24*3/4 + 30 = 39 feetc) Distance from water after 2 seconds:
h(2) = -16*2^2 + 24*2 + 30 = 14 feetThe following table shows a proportional relationship between j and m.
j
т
4
3
12
9
20
15
Write an equation to describe the relationship between j and m.
Answer:
j=x3 .......................
8. Write an algebraic expression to represent each
word expression.
e. fourteen less than three times a number n
find the value of the product mentally.
Answer :80
Step-by-step explanation: Do multiplication .Look at pic to see .
A miniature golf course has a special group rate. You can pay $20 plus $3 per person when you have a group of 5 or more friends. Let be the number of friends and be the total cost.
1) Determine which variable is independent and which is dependent.
2) Write an equation that models the situation.
Please help me.
1 - Dependent Variable
2- 3x + 20 = 35
what is the oxidation number of carbon
+4
The oxidation number of C must be +4, to make the oxidation number of the ion the same as its charge.
number of C must be + 4 to make the oxidation number of the ion the same as its charge
Help me please?? ????
Answer:
40 days
Step-by-step explanation:
8 × 5 = 40
[character limit pass]
Freddy went to the museum and bought a reduced copy of a painting he saw in a exhibit. If the actual painting is 12 inches high, how wide is it ?
Answer:
It is probably 6 inches wide. I tried my best
Step-by-step explanation:
Help Me! With this question
SOS! Can some please help me!
Answer:
8.9
Step-by-step explanation:
1. DE:BC=AD:AB
2. AD=AB+BD, but according to the conditions AB=5, then
AD=5+BD.
3. after the substitution DE=16; BC=9; AB=5 and AD=5+BD into the formula:
16:9=(5+BD):5;
[tex]\frac{16}{9} =\frac{BD+5}{5};[/tex]
BD=80/9 - 5≈3.9.
4. if AD=AB+BD, then AD=5+3,9=8,9
Answer:
8.9 is your answer to the question
Give the coordinates of point A.
A.
A. (2,5)
O B. (5,2).
C. (-5,-2)
O D. (-2,-5)
Answer:
Its D (-2,-5)
Step-by-step explanation:
Point A rest in the (negative, negative) and you have to go along the x first which is -2 and down which is -5 so your answer in (-2,-5)
Also I just did this and is was correct.
Hope this helps!
The coordinates of point A is (-2,-5).
What is a coordinate of a point?Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate). The origin is located at (0,0).
The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane.
From the given graph, we can see
Point A rest in the (negative, negative) and you have to go along the x first which is -2 and down which is -5 so your answer in (-2,-5)
The coordinates of point A is (-2,-5).
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how do I answer this
Answer:The Solution
Step-by-step explanation:
Solution for What is 25 percent of 343:
25 percent *343 =
(25:100)*343 =
(25*343):100 =
8575:100 = 85.75
what’s the equation of the following
[tex] \bold {m = \frac{rise}{run} } \\ m = \frac{0 - ( -2)}{0 - 10} \\ m = \frac{0 + 2}{ - 10} \\ m = \frac{2}{ - 10} \\ m = - \frac{1}{5} [/tex]
From the slope-intercept form.[tex]y = mx + b \\ m = slope \\ b = y - intercept[/tex]
Because the graph passes origin point (0,0). Therefore the value of b is 0.
Answer[tex] \large \boxed {y = - \frac{1}{5} x}[/tex]
Compute $\left(\sqrt{675} - \sqrt{363}\right)^2$.
Answer:
( √675 - √363 )²
= (( 988 - ( √363 × 363 ))
= (( 988 - 131.769 ))
= - 130.781
The expression equivalent to the given one is - 130.781.
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple,
We have given an expression;
( √675 - √363 )²
= (( 988 - ( √363 × 363 ))
= (( 988 - 131.769 ))
= - 130.781
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Find all solutions to the equation. cos x = - 1/2
Answer:
[tex]x = 2\pi /3 + 2\pi n\\x= 4\pi /3 + 2\pi n[/tex]
Step-by-step explanation:
Radian: x = 2\pi /3 + 2\pi n\\x= 4\pi /3 + 2\pi n
Degree: x = 120 + 360n , x = 240 + 360n
