Area = r^2 x PI
to find r take the square root of the area:
r = √100 = 10
The circumference of a circle is the diameter times PI.
The diameter is 2 times r = 2 x 10 = 20
The circumference = 20PI m
The answer is C.
Which of the following graphs represents the equation y + 2 = 3(x-1)?
Answer:
Graph C
Step-by-step explanation:
y + 2 = 3x - 3
y = 3x - 5
Graph C touches (0,-5) and no other graphs do.
Is there a rigid transformation that would map ΔABC to ΔDEC
Answer:
Yes. a rotation about point c
Step-by-step explanation:
just answered it.
A rigid transformation is a transformation that preserves the shape and size of an object. It includes translations, rotations, and reflections. Without specific information about the coordinates or measurements of the triangles, it is not possible to determine if a rigid transformation exists.
Explanation:A rigid transformation is a transformation that preserves the shape and size of an object. It includes translations, rotations, and reflections. In order for triangle ΔABC to be mapped to triangle ΔDEC, there must be a combination of translations, rotations, and reflections that can bring the two triangles into congruence.
However, without specific information about the coordinates or measurements of the vertices of the triangles, it is not possible to accurately determine if a rigid transformation exists that can map ΔABC to ΔDEC.
Write the slope intercept form of -y = 4-x
Slope intercept form:
y=mx+b
Right now we have:
-y=4-x
x=1 because it’s not being multiplied by anything
y-intercept = 4 because it’s what you’re adding
Then we just need to move 4 to the other side of “x”
And with that, we conclude with a line in slope intercept form:
-y=x-4
It’s a negative 4 and a positive x, because you’re supposed to do the opposite
If it’s a negative, you add. If it’s a positive, you subtract.
What does 0.5(-12p - 4) equal to?
Answer:
Use the distributive property to solve this equation: a(-b - c) = -ab - ac
Step-by-step explanation:
1. 0.5(-12p - 4) =
-6p - 2 is the answer.
Hope this helped!!!!
~Shane
Final answer:
The expression 0.5(-12p - 4) simplifies to -6p - 2 by distributing the 0.5 across each term inside the parentheses, resulting in the multiplication of -12p by 0.5 to get -6p, and -4 by 0.5 to get -2.
Explanation:
The expression 0.5(-12p - 4) can be simplified by distributing the 0.5 across the terms inside the parentheses. This is done by multiplying 0.5 by each term in the parentheses individually. The steps are as follows:
Multiply 0.5 by -12p, which gives us -6p.
Multiply 0.5 by -4, which gives us -2.
Combine these results to get the simplified expression, which is -6p - 2.
Therefore, 0.5(-12p - 4) equals -6p - 2.
How long it takes to awnser a question?
Depending on what subject the question is in.
Answer:
There are usually more people answering questions in easy subjects for points.
Step-by-step explanation:
Yeppers.
For which value of x is the equation 3(x + 2) + x = 2x + 16 true?
A) 2
B) 3
C) 4
D) 5
Answer:
D) 5
Step-by-step explanation:
3(5+2)+5=2*5+16
26=26
Best regards
A quadrilateral has vertices with coordinates (-3,1),(0,3),(5,2) and (-1,-2). Which type of quadrilateral is this?
AB and DC are parallel to each other and both are perpendicular to AD. So the quadrilateral is a right angled trapezoid. Hope this helps! :)
Final answer:
The given quadrilateral cannot be classified into a specific type.
Explanation:
The given quadrilateral has vertices with coordinates (-3,1), (0,3), (5,2), and (-1,-2). To determine the type of quadrilateral, we can find the slopes of the opposite sides. If the slopes are equal, the quadrilateral is a parallelogram. If the slopes are perpendicular, the quadrilateral is a rectangle. If both conditions are satisfied (equal slopes and perpendicular slopes), then the quadrilateral is a square.
Using the formula for slope between two points, we find:
Slope of the first side: (-3,1) to (0,3) -> m1 = (3 - 1) / (0 - (-3)) = 2/3
Slope of the second side: (-1,-2) to (-3,1) -> m2 = (1 - (-2)) / (-3 - (-1)) = 3/2
Slope of the third side: (-3,1) to (5,2) -> m3 = (2 - 1) / (5 - (-3)) = 1/8
Slope of the fourth side: (0,3) to (5,2) -> m4 = (2 - 3) / (5 - 0) = -1/5
Since the slopes of opposite sides are neither equal nor perpendicular, the given quadrilateral is neither a parallelogram, rectangle, nor a square. Therefore, the type of quadrilateral cannot be determined.
The period of a function is 4 pi how many cycles of the function occur in a horizontal length of 12 pi
Answer:
3 cycles
Step-by-step explanation:
in one period, you have one full cycle
because the period for this function is 4pi, you have one cycle per 4pi
if you have a total of 12pi, you would have 3 cycles (12pi/4pi=3)
hope this helps!
Answer:
1. 3
2. horizontal stretch
3. A.
Step-by-step explanation:
Solve the system.
2/3 x - 1 /2 y = 1
1/ 4 x + 3/8 y = -1
A) (3, 2)
B) (9, 10)
C) ( 9/ 2 , 5)
D) (- 1 /3 , - 22 /9 )
Answer:
[tex]\large\boxed{D)\ \left(-\dfrac{1}{3},\ -\dfrac{22}{9}\right)}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}\dfrac{2}{3}x-\dfrac{1}{2}y=1&\text{multiply both sides by 6}\\\dfrac{1}{4}x+\dfrac{3}{8}y=-1&\text{multiply both sides by 8}\end{array}\right\\\left\{\begin{array}{ccc}6\!\!\!\!\diagup^2\cdot\dfrac{2}{3\!\!\!\!\diagup_1}x-6\!\!\!\!\diagup^3\cdot\dfrac{1}{2\!\!\!\!\diagup_1}y=6\cdot1\\8\!\!\!\!\diagup^2\cdot\dfrac{1}{4\!\!\!\!\diagup_1}x+8\!\!\!\!\diagup^1\cdot\dfrac{3}{8\!\!\!\!\diagup_1}y=8\cdot(-1)\end{array}\right[/tex]
[tex]\underline{+\left\{\begin{array}{ccc}4x-3y=6\\2x+3y=-8\end{array}\right}\qquad\text{add both saides of the equations}\\.\qquad6x=-2\qquad\text{divide both sides by 6}\\.\qquad x=-\dfrac{2}{6}\\\\.\qquad\boxed{x=-\dfrac{1}{3}}\\\\\text{Put the value of x to the second equation:}\\\\2\left(-\dfrac{1}{3}\right)+3y=-8\\\\-\dfrac{2}{3}+3y=-8\qquad\text{add}\ \dfrac{2}{3}\ \text{to both sides}\\\\3y=-\dfrac{24}{3}+\dfrac{2}{3}[/tex]
[tex]3y=-\dfrac{22}{3}\qquad\text{divide both sides by 3}\ /multiply\ both\ sides\ by\ \frac{1}{3}/\\\\\boxed{y=-\dfrac{22}{9}}[/tex]
Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their ages is 92. Which equations could be used to find Hannah’s age,h, if she is the older sibling?
Answer:
the answer is 47
Step-by-step explanation:
You want to buy a tent in the shape of a pyramid. The rectangular base is 35 square feet, with a height of 4 feet. What is the volume of the tent? Round your answer to the nearest hundredth.
Answer:
46.67 cubic feet
Step-by-step explanation:
The formula for volume of a pyramid is
V = (1/3)Bh where B is the area of the base, and h is the height.
We are givne B = 35 and h = 4. Plug those values in and simplify...
V = (1/3)(35)(4)
V = (1/3)(140)
V = 140/3
V = 46 2/3 cubic feet, which is 46.666667, or 46.67 rounded to the nearest hundredth
Answer:
46.67 cubic feet
Step-by-step explanation:
What is the discriminant of the polynomial below 2x^2+4x-9
Answer:
Discriminant = 88
Step-by-step explanation:
The general form of quadratic polynomial is:
P(x) = ax² + bx + c ⇒ a is the coefficient of x² , b is the coefficient
of x and c is the numerical term
∵ The discriminant of P(x) = ax² + bx + c is b² - 4ac
∵ P(x) = 2x² + 4x - 9
∴ a = 2 , b = 4 , c = -9
∴ Discriminant = (4)² - 4(2)(-9) = 16 + 72 = 88
Answer:
The discriminant of given polynomial is 88.
Step-by-step explanation:
We have given a polynomial.
2x²+4x-9
We have to find the discriminant of given polynomial.
From polynomial, a = 2 , b = 4 and c = -9
The formula to find discriminant is
b²-4ac
Putting values in above formula, we have
(4)²-4(2)(-9)
16+72
88
The discriminant of given polynomial is 88.
Alysa volunteers for 3.7 hours each day. If she volunteered for a total of 71.8 hours, for how many days did she volunteer? Round your answer to the nearest tenth of a day, if necessary.
Answer:
Step-by-step explanation:
Hello, this is simple:
You must to divide (71.8 hours)/(3.7 hours) so the result is 19.4 days
Best regards
A circle has a circumference of 11304 what is the diameter of a circle
Answer:
The diameter is 3600
Step-by-step explanation:
The diameter would be 3600 because in order to find circumference you multiply the diameter times pi which is 3.14, so in order for you to find diameter using circumference, you divide the circumference by 3.14 which then gives you your diameter.
There are 26 students in the club. The French teacher will pick 3 students at random to guide visiting students from France. What is the probability that Teesha will not be picked as a guide?
Answer:
88.5
Step-by-step explanation:
Which of the following options is true about the solution to the given set of equations
y=6x + 9
y=6x + 2
One solution
No solution
Two solutions
Infinite solutions
Answer:
No solutions
Step-by-step explanation:
results 0=-7 which is not true
There are no solutions because the two lines are parallel and have different y-intercepts, so they will never intersect each other.
I need help with this question. Someone plz help!!
step 4: x^2+4=10 |work square x and 2|
step 5: x^2=6 |work subtract 4 from both sides|
step 6: X = 2.44 |work find the root of 6|
Answer with step-by-step explanation:
The first three steps of completing the square to solve the quadratic equation [tex]x^2+4x-6=0[/tex] are given in the question which include:
Step 1: [tex]x^2+4x=6[/tex]
Step 2: [tex]x^2+4x+4=6+4[/tex]
Step 3: [tex](x+2)^2=10[/tex]
So the next three steps will be:
Step 4: [tex] \sqrt { ( x + 2 ) ^2 } = \sqrt { 10 } [/tex]
(taking square root on both sides of [tex](x+2)^2=10[/tex] to get [tex]x+2 = +-\sqrt{10}[/tex])
Step 5: solve for x([tex]x+2=3.16[/tex] , ([tex]x+2=-3.16[/tex]
(solve for x)
Step 6: [tex]x=1.06[/tex] or [tex]x=-5.16[/tex]
(evaluate)
Pls help, I can’t figure this one out
3.07 feet is your answer :)
Answer:
The radius is 4.5 ft
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
121.5 pi = 4/3 pi r^3
Divide each side by pi
121.5 = 4/3 r^3
Multiply each side by 3/4
121.5 *3/4 = r^3
91.125 = r^3
Take the cube root on each side
(91.125) ^(1/3)= (r^3)^(1/3)
4.5 = r
The radius is 4.5 ft
What is the phase shift of a periodic function?
Answer and Explanation :
To find : What is the phase shift of a periodic function?
Solution :
The Phase shift is defined as a horizontal shift in a function in any direction.
Horizontal stretches will change the period of the function and that horizontal shift is called a phase shift or the amount of shift in a wave horizontally.
The phase shift is measured in degrees.
Refer the attached figure below for the pictorial representation of teh phase shift.
In the figure, [tex]\frac{\pi }{2} \text{ to } \pi[/tex] is showing the phase shift.
Example - Taking a general example of sin function
[tex]y = A \sin(B(x + C)) + D[/tex]
In this the phase shift is at C (positive is to the left).
In the figure, YX is a tangent to circle O at point X.
Measure of XB = 52 degrees
Measure of XA = 104 degrees
What is the measure of XYA?
The measure of angle XYA is 26 degrees if the YX is a tangent to circle O at point X.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
YX is a tangent to circle O at point X.
Arc XB = 52 dergees
Arc XA = 104 degrees
By the theorem of secant:
m∠XYA = 1/2(m∠arc XA - m∠arc XB)
= 1/2(104 - 52)
= 26 degrees
Thus, the measure of angle XYA is 26 degrees if the YX is a tangent to circle O at point X.
Learn more about circle here:
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Will mark brainliest! Show work for 5 and 6!❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️
Answer:
6. decrease / 19.68 ,5. increase / 4.4
Step-by-step explanation:
Solve for x.
x2 - 2x = 0
A. 0,-2
B. 0,2
c. 1, -2
D. 1.2
Answer: B. 0, 2
Step-by-step explanation:
x² - 2x = 0
x(x - 2) = 0 Factored the left side
x = 0 and x - 2 = 0 Applied the Zero Product Property
x = 2 Solved the remaining equation
Therefore, x = 0 and x = 2
Jeff has recorded the cost of insurance premiums on his car for a particular insurance company.
Years Payments
1 $1,200
6 $7,200
9 $10,800
Daniel pays $1,150 per year for insurance premiums on his car. Whose unit rate is lower in terms of cost per year, and what is the rate?
A.
Daniel's unit rate is lower. It is $1,150 per year.
B.
Jeff's unit rate is lower. It is $1,200 per year.
C.
Daniel's unit rate is lower. It is $1,200 per year.
D.
Jeff's unit rate is lower. It is $1,150 per year.
E.
Jeff and Daniel have the same unit rate. It is $1,150 per year.
For 1 year Jeff pays $1200.
For 6 years he pays 7200 / 6 = 1200 per year.
For 9 years he pays 10800 / 9 = 1200 per year.
Jeff's unit rate is $1,200 per year.
Daniel pays $1,150 per year.
150 is less than 1200, so the answer would be:
A. Daniel's unit rate is lower. It is $1,150 per year.
Answer:
View the picture for your answer!
Have a great day.
Devon exercised the same amount of time each day for 5
days last week. His exercise included walking and swimming.
Each day he exercised, he walked for 10 minutes. He
exercised for a total of 225 minutes last week. What is the
number of minutes Devon swam each of the 5 days last
week? And show how!
Answer:
He spent 35 minutes swimming each day.
Step-by-step explanation:
10x5=50
The multiply by 5 is the numbers of days.
225-50=175
(The 50 minutes subtracted is the time Devon walked)
175 divided by 5 = 35
He spent 35 minutes swimming
Confirm/Check
35 times 5 =175
( Again, The multiply by 5 is the 5 days.)
175+50= 225
Therefore, He swam 35 minutes each day and walked 10 minutes each day.
He swam 175 minutes in total and walked 50 minutes in total
Hoped This Helped!
The number of minutes Devon swam each day is
How do we make equations from word problems?The word problems must be thoroughly read and understood. Then we can use the given data to make the equations.
We can find the number of minutes Devon spent swimming as follows:He exercised for a total of 225 minutes in the last week.
It is also given that he exercised the amount each day for 5 days.
Therefore, the total number of minutes of exercise per day = 225/5
= 45 minutes.
It is given that he spends 10 minutes everyday walking.
Therefore the total number of time Devon spend swimming = 45 - 10
= 35 minutes
Therefore, we have found that the number of minutes Devon swam each day is 35 minutes.
Learn more about word problems here: https://brainly.com/question/13818690
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what shapes are perpendicular sides only?
Answer:
Step-by-step explanation:
A square
With the given information, which of these conclusions is reasonable?
store A 16
store B 11
The number of TVs sold varied more at Store A than at Store B.
The number of TVs sold varied more at Store B than at Store A.
The number of TVs sold was 5 more at Store A than at Store B.
The average number of TVs sold was higher at Store A than at Store B.
Answer:
1. The number of TVs sold varied more at Store A than Store B.
Step-by-step explanation:
Explanation of the reasonable conclusion based on the given data about TV sales at Store A and Store B.
Given data:
Store A: 16 TVsStore B: 11 TVsTo determine which conclusion is reasonable:
The number of TVs sold varied more at Store A than at Store B.The number of TVs sold varied more at Store B than at Store A.The number of TVs sold was 5 more at Store A than at Store B.The average number of TVs sold was higher at Store A than at Store B.Analysis: Store A sold more TVs than Store B. Hence, the conclusion that the number of TVs sold was 5 more at Store A than at Store B is reasonable.
The second of two numbers is 5 more than twice the first. The sum of the numbers is 44. Find the numbers by writing and solving a system of equations.
what is the slope of the line passing through the points (-4,-4) and (2,5)
Answer:
the answer is 1.5 or 1 1/2 or 3/2 they all equivalent
The answer is 1.5
You will take
=(5– -4) /(2- -4)
=9/6
=1.5
Krystal City has a population of 40,500 people. It’s population is increasing at a rate of 3.8% each year. Write a function that represents each population s a function of time.
Answer:
[tex]y=40,500(1.038^{x})[/tex]
Step-by-step explanation:
Let
x----> the time in years
y----> the population
we know that
[tex]100\%+3.8\%=103.8\%=103.8/100=1.038[/tex]
so
[tex]y=40,500(1.038^{x})[/tex]
Final answer:
For Krystal City's population of 40,500 increasing at 3.8% annually, the function is [tex]P(t) = 40500(1 + 0.038)^{t[/tex].
Explanation:
A population function can be represented as:
[tex]P(t) = P_0(1 + r)^{t[/tex]
Where:
P(t) is the population after time tP0 is the initial populationr is the growth rate per yearFor Krystal City with a population of 40,500 and a growth rate of 3.8% annually, the function would be:
[tex]P(t) = 40500(1 + 0.038)^{t[/tex]
evaluate csc(3π/4)
please show work
Answer:
csc(3π/4) = √2
Step-by-step explanation:
∵ csc(3π/4) = 1 ÷ sin(3π/4)
∵ ∠(3π/4) lies on the second quadrant
∴ sin(3π/4) is positive value (according to ASTC Rule)
* ASTC Rule ⇒ (All +ve in 1st quadrant , Sin +ve in 2nd , Tan +ve
in 3rd quadrant , Cos +ve in 4th quadrant)
∴ sin(3π/4) = sin(π - α) ⇒ where α is an acute angle
∴ 3π/4 = π - α ⇒ α = π - 3π/4 = π/4
∵ sin²x + cos²x = 1
∵ sin(π/4) = cos(π/4)
∴ 2sin²(π/4) = 1 ⇒ sin²(π/4) = 1/2 ⇒ sin(π/4) = √(1/2)
∴ sin (π/4) = 1/√2
∴ sin(3π/4) = 1/√2
∴ csc(3π/4) = 1 ÷ 1/√2 = 1 × √2/1 = √2
Answer:
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the trigonometric identity
• csc x = [tex]\frac{1}{sinx}[/tex]
sin( [tex]\frac{3\pi }{4}[/tex]) = sin ([tex]\frac{\pi }{4}[/tex]) = [tex]\frac{1}{\sqrt{2} }[/tex], hence
csc ([tex]\frac{3\pi }{4}[/tex]) = [tex]\frac{1}{\frac{1}{\sqrt{2} } }[/tex] = [tex]\sqrt{2}[/tex]