Answer:
KJL = 40 degrees
Step-by-step explanation:
KJL = 1/2*( arc KP - arc IP)
arc IPK=360-120=240
KP=2(IP)
Kp=2x, IP = x
3x=240, x=80
KP=160
IP=80
KJL=(160-80) / 2 = 40 degrees
Answer:
40°
Step-by-step explanation:
find the solution set. x^2-25=0
Answer:
x = ±5
Step-by-step explanation:
x^2-25=0
Add 25 to each side
x^2-25+25=0+25
x^2 = 25
Take the square root of each side
sqrt(x^2) = sqrt(25)
x = ±5
Which is not a correct way to name the angle?
Answer:
The third one (QRP)
Step-by-step explanation:
it indicates that the angle is at point R, which it isn't! The letter in the middle shows where the angle is
Option C is not a correct way to name the angle. This is obtained by understanding the correct ways of naming an angle.
What are the correct ways of naming an angle?The correct ways of naming an angle are,
By its vertexBy three points (the middle point must be the vertex)By using numbersIn the given question,
Option A has three points and the middle point is the vertex.Option B is the vertex.Option C has three points but the middle point is not the vertex.Hence option C is not a correct way to name the angle.
Learn more about naming a triangle here:
brainly.com/question/26038114
#SPJ2
Jessica has some markers. She has 5 more black markers than blue markers. She has 4 times as many red markers as black markers. She has 8 blue markers. How many markers does Jessica have altogether? asap 60 points
Answer:
73 markers
Step-by-step explanation:
let b = blue markers
black markers = b+5
red markers = 4* black markers
= 4 * (b+5)
= 4b+20
The total markers is blue + black + red
b + b+5 + 4b+20 = 6b+25
We know she has 8 blue markers
black markers = b+5 = 8+5 = 13
red markers = 4b +20 = 4*8 +20 = 32+20 = 52
The total markers =6b+25= 6(8) + 25 = 48+25 = 73
The unit of measurement for angles, it is equal to 1/360th of a complete revolution.
Answer:
degree
Step-by-step explanation:
The degree is the unit of measurement for angles; it is equal to 1/360th of a complete revolution.
Need math help please
Answer:
see the attachment for a graph
Step-by-step explanation:
When asked to graph an equation like this, you can first recognize that the equation you are given is in "slope-intercept" form:
y = mx + b . . . . . m is the slope; b is the y-intercept.
This immediately tells you one point on the graph: the y-intercept at (0, -4).
Another point on the graph can be found by making use of the slope to choose a point that is different from the y-intercept by the rise and run indicated by the slope.
Here, the slope is rise/run = -5/6, which means the line "rises" -5 units for each "run" of 6 units. Alternatively, it rises 5 units for a run of -6 units. That is the second point we have plotted on the graph below. Subtracting 6 from x=0 gives x=-6; adding 5 to y=-4 gives y=1, so our second point is (-6, 1).
20 POINTS!! HELP PLEASE LOOK AT ALL IMAGES
Answer:
10option a 10
11option d √58
12option b 16
13option d 68
14option a 16
Step-by-step explanation:
To solve all these questions we will use trigonometry identity which says that
10)TanФ = opp / adj
Tan (b) = 2/11
b = tan^-1(2/11)
b = 10.30
≈ 10
11) hypotenuse² = height² + base²Bc² = 3² + 7²
BC = √3²+7²
BC =√58
12)sin(30) = opp/ hypo
sin(30) = 8 / pq
pq = 16
13)tanB = opp / adj
B = tan^-1(17/7)
B = 67.7 ≈ 68°
14)sin(7) = opp / hyp
sin(7) = 2/x
x = 2/sin(7)
x = 16 miles
Which Transformation is a isometry?
Answer:
C, the two rounded rectangles
Step-by-step explanation:
Isometry can be divided into two words: iso = same and metry = measure
So, isometry means "same measure".
In this case, that means the transformation didn't change the measures of the object.
In A and B, you can see the figure has been transformed, while in C, it's the same shape and size, just a different color.
Answer:
C, the two rounded rectangles
Step-by-step explanation:
Isometry can be divided into two words: iso = same and metry = measure
So, isometry means "same measure".
In this case, that means the transformation didn't change the measures of the object.
In A and B, you can see the figure has been transformed, while in C, it's the same shape and size, just a different color.
Read more on Brainly.com - https://brainly.com/question/12600222#readmore
I really need help with this question, please help.
Answer:
1. QM≅RM
2. reflexive property of congruence
3. ΔPQM≅ΔPRM
4. SSS congruence postulate
5. CPCTC
Step-by-step explanation:
1. As M is the midpoint of line QR, dividing it in two equal parts that are QM and MR. Hence
QM≅RM
2. The reflexive property of congruence states that a line or a geometrical figure is reflection of itself and is congruent to itself. Hence in given case,
PM≅PM
3. ΔPQM is congruent to ΔPRM because all the three sides PQ, QM and PM of ΔPQM are congruent to all the three sides PR, RM and PM of ΔPRM repectively.
4. SSS congruence postulate stands for Side-Side-Side congruence postulate, it states that when three adjacent sides of two triangle are congruent then the two triangles are congruent. In given case, the three sides
PQ≅PR
QM≅RM
PM≅PM
hence ΔPQM ≅ΔPRM
5. CPCTC stands for congruent parts of congruent triangles are congruent. In given case as proven in part 4 that ΔPQM ≅ΔPRM so their corresponding angles will also be congruent. Hence
∠Q≅∠R
!
The municipal swimming pool in Chandler, Arizona has three different ways of paying for individual open swimming. Sam, Jane, and Suzy are trying to decide which way to pay.
• Early Pay: Pay $45.00 before Memorial Day; swim any number of days
• Deposit Plus: $12.00 deposit plus $4.00 per day
• Daily Pay: $6.00 per day
1. Write an equation for each method of payment. Write your equations in slope-intercept form so that x is the number of days and y is the cost.
a. Early Pay:
b. Deposit Plus:
c. Daily Pay:
2. If Sam goes swimming 4 times, what would he need to pay with each payment plan? Which is the best payment method for him?
3. If Sam goes swimming 8 times, what would he need to pay with each payment plan? Which is the best payment method for him?
4. If Sam goes swimming 12 times, what would he need to pay with each payment plan? Which is the best payment method for him?
5. Jane and Suzy decide to look at the different options available for individual open swimming. Jane enjoys swimming and would like to go to the pool on most days, but Suzy doesn’t know how many times she will go swimming this summer as she doesn’t really enjoy the summer heat and the pool atmosphere. Please explain in paragraph form which option would be best for Jane and which option would be best for Suzy. Explain your answer.
Any help would be greatly appreciated, I've been doing work all day and my mind is blank when I look at these questions. Thank you in advance.
1. a Early Pay: y = 45
b. Deposit Plus: y = 12.00 + 4.00x
c. Daily Pay: y = 6.00x
2. Early pay = $25
Deposit Plus = 12.00 + 4.00(4) = 12.00 + 16.00 = $28.00
Daily Pay = 6.00(4) = $24.00
Daily Pay is the cheapest one.
3. Early Pay = $45
Deposit Plus = 12.00 + 4.00(8) = 12.00 + 32.00 = $44.00
Daily Pay = 6.00(8) = $48.00
Deposit Plus is the cheapest one.
4. Early Pay = $45
Deposit Plus = 12.00 + 4.00(12) = 12.00 + 48.00 = $60.00
Daily Pay = 6.00(12) = $72.00
Early Pay is the cheapest one.
5. Since Jane likes to swim most days, it would be cheaper for her to do the Early pay option, because the price is a one time fee and she can swim every day.
Since Suzy doesn't really like to go swimming and might only go a couple times, it would be best for her to do the daily pay, that way she didn't spend any money up front if she doesn't swim at all.
I really need help! Geometry is not my strong-hold
[tex]17 \times 17 = 289 [/tex]
then you want to do 3.14 x 17×17 = .... then add them both and you got the area
Find the length of the radius of a circle whose center is at (12, 5 ), and one point on the circle is ( -6, -18 ). Round to the nearest hundredth of the units.
The answer is:
The radius of the circle is 29.21 units.
Why?To solve the problem, we need to remember that the radius of a circle is the distance from its center to any point of the circle.
We can use the following equation to calculate the distance between the center and the given point:
[tex]distance=radius=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2} }[/tex]
So, we are given the information:
[tex]Center(12,5)\\Point(-6,-18)[/tex]
Where,
[tex]x_1=12\\y_1=5\\x_2=-6\\y_2=-18[/tex]
Now, substituting and calculating, we have:
[tex]radius=\sqrt{((-6)-(12))^{2}+((-18)-(5)^{2}}\\\\radius=\sqrt{(-18)^{2}+(-23)^{2}}=\sqrt{324+529}=\sqrt{853}=29.21units[/tex]
Hence, we have that the radius of the circle is 29.21 units.
Have a nice day!
Answer:
AB = 29.23
Step-by-step explanation:
Points to remember
Distance formula
Distance between two points (x₁, y₁) and (x₂, y₂) is given by
Distance = √[(x₂- x₁)² + (y₂ - y₁)²]
To find the radius
Center = (12, 5) and point on the circle = (-6, -18)
Radius = √[(x₂- x₁)² + (y₂ - y₁)²]
= √[(12 - - 6)² + (5 - -18)²]
= √[(12 + 6)² + (5 +18)²]
=√[18² + 23²] = √[324 +529 ] = 29.23
The mean average of the following 4 math marks will become your report card marks 97,78,84, and 86 what will your report card mark be ?
Answer:
86.25
Step-by-step explanation:
97+84+78+86=345 then u divide by 4 which is 86.25
Find the third, fourth, and fifth terms of the sequence defined by
a[tex]a_{1}[/tex]= 4, a2 = 9, and an = 2an − 1 − an − 2 for n ≥ 3.
[tex]a_{1} = 4, a_{2} = 9, and a_{n} = 2a_{n-1} - a_{n-2} for n\geq 3.[/tex]
a3=
a4=
a5=
a6=
Please Help
By the recursive definition,
[tex]a_3=2a_2-a_1=2\cdot9-4=14[/tex]
[tex]a_4=2a_3-a_2=2\cdot14-9=19[/tex]
[tex]a_5=2a_4-a_3=2\cdot19-14=24[/tex]
[tex]a_6=2a_5-a_4=2\cdot24-19=29[/tex]
Answer:
a3=14, a4=19, a5=24
Step-by-step explanation:
Put the numbers where the symbols are and do the arithmetic.
a3 = 2(a2) -(a1) = 2(9) -4 = 14
a4 = 2(a3) -(a2) = 2(14) -9 = 19
a5 = 2(a4) -(a3) = 2(19) -14 = 24
a6 = 2(a5) -(a4) = 2(24) -19 = 29
_____
With a little work, you can show that this is an arithmetic sequence with a common difference of a2-a1 = 5.
Let d = a[2] -a[1]
Of course, the second term is that difference added to the first:
a[2] = a[1] + (a[2] -a[1]) = a[1] +d
The third term is ...
a[3] = 2a[2] -a[1] = a[2] +(a[2] -a[1]) = a[2] +d
a[4] = 2a[3] -a[2] = a[3] +(a[3] -a[2]) = a[3] -(a[2] +d) -a[2] = a[3] +d
Simplify 3b^−4/b^0. Write the expression using only positive exponents.
HURRY
Answer:
3/b^4
Step-by-step explanation:
b^0 = 1
3b^(-4) / b^0 = 3b^(-4) / 1 = 3b^-4
Since you are instructed to write only positive exponents, the answer is 3/b^4
Which is the equation of a parabola with focus (-2, -4) and vertex (-4, -4)?
A.(y+4)^2=8x+4
B.(y+4)=8x^2+4
C.(y+4)^2=8(x+4)
D.(y+4)^2=8(x+4)^2
Answer:
C.
Step-by-step explanation:
If we plot the vertex and the focus, since the parabola wraps itself around the focus, we can see that this is parabola that opens up to the right. The distance between the vertex and the focus is 2 units. The equation for this type of parabola is:
[tex]4p(x-h)=(y-k)^2[/tex]
where h and k are the coordinates of the vertex and p is the distance between the vertex and the focus. We already know all of that info so we can jump right to filling in the equation:
[tex]4(2)(x+4)=(y+4)^2[/tex] which of course simplifies to your answer:
[tex]8(x+4)=(y+4)^2[/tex]
NEED HELP ! 20 POINTS
Use Demoivres Theorem to find ( 1 - i )^10
a. 32 - 32i
b. -32i
c. -32 + 32i
d. 32
If [tex]z=1-i[/tex], then [tex]|z|=\sqrt{1^2+(-1)^2}=\sqrt2[/tex] and [tex]\arg z=-\dfrac\pi4[/tex] because [tex]z[/tex] lies in the fourth quadrant.
By DeMoivre's theorem,
[tex]z=|z|e^{i\arg z}\implies z^{10}=(\sqrt2)^{10}e^{-i10\pi/4}=32e^{-i5\pi/2}=32e^{-i\pi/2}=-32i[/tex]
so the answer is B.
Answer:
B
Step-by-step explanation:
edge 2020
what is (a) the lateral area and (b) the total surface area of a regular square pyramid with the length of each edge equal to 6? ( leave answers in simplest radical form )
Answer:
• lateral area: 36√3 square units
• total surface area: (36 +36√3) square units
Step-by-step explanation:
The area of an equilateral triangle of side length s is given by ...
A = (√3)/4·s^2
Your pyramid has four (4) such faces of side length 6 units, so the total (lateral) area of the triangular faces is ...
LA = √3·(6 units)^2 = 36√3 square units
___
Of course the area of the square base is simply the square of its edge length, so is ...
A = (6 units)^2 = 36 square units
That means the total surface area, the lateral area plus the base area, is ...
(36 +36√3) square units
What is the area of a cylindrical ring where the diameter of the cross section is 6.3 in and the center line has a length of 48 in
Answer:
The area of cylinder 949.536 in²
Step-by-step explanation:
Points to remember
Curved surface area of cylinder = 2πrh
Where r - radius of cylinder
h - Height of cylinder
To find the area of cylinder
Here r = diameter/2 = 6.3/2 = 3.15 in
h = 48 in
Area = 2πrh
= 2 * 3.14 * 3.15 * 48
= 949.536 in²
Therefore area of cylinder 949.536 in²
Find the slope of the line if it exists
The answer to the problem is Undefined slope .
Can someone help and explain this problem to me? I’m stuck
a. 2 units
b. 3 units
c. 8 units
d. 9 units
Answer:
c. 8 units
Step-by-step explanation:
You are to find the y-intercepts of the two functions given, then report the difference between them. The y-intercept is the y-value when x=0.
For f(x), we have ...
f(0) = 3·2^0 = 3·1 = 3
__
For the table, we can see that x=0 is halfway between x=-2 and x=2, so the y-intercept can be expected to be halfway between y=3 and y=-13. That value for y is ...
g(0) = (3 + (-13))/2 = -10/2 = -5
That is, the y-intercept of g(x) is -5.
__
The difference between f(0) and g(0) is ...
f(0) -g(0) = 3 -(-5) = 8 . . . . units
In this triangle, what is the value of x?
Enter your answer, rounded to the nearest tenth, in the box.
x = yd
Answer:
75 yd
Step-by-step explanation:
Given in the question a right angle triangle.
Base of right angle triangle = x
Height of right angle triangle = 40yd
To find x we will use trigonometry identity
TanФ = opposite / adjacenthere Ф = 62°
opposite = base
adjacent = height
Plug values in the formula to find x
Tan(62) = x / 40
x = (40)(Tan(62))
= 75.229 yd
≈ 75 yd
The value of x is:
x=75.2 yard.
Step-by-step explanation:We are given a right triangle with base 40 yard.
Also, the perpendicular length of the triangle corresponding to angle 62° is: x
Now we find the value of x using the trignometric formula as:
[tex]\tan 62\degree=\dfrac{x}{40}[/tex]
We know that the value of tan 62°=1.88073
Hence, we have:
[tex]1.88073=\dfrac{x}{40}\\\\\\x=40\times 1.88073\\\\\\x=75.2292[/tex]
Hence, we have: x=75.2 yard
Need to know if I got the correct answer for #29. If it’s wrong can you help me solve it please and thank you.
Answer:
-x² -2x -5 -12/(x-2)
Step-by-step explanation:
The attachment shows the synthetic division. You can find the remainder by evaluating the dividend for x=2:
-2³ -2 -2 = -12 . . . . matches the above answer, not [A] or [C] shown
_____
You can always multiply out your answer to see if it matches the problem.
(-x^2 -2x +3)(x -2) +3 = -x^3 +7x -3 . . . . not the dividend you started with
Solve the system of equations.
y = x + 6
y = x^2 + 8x + 16
Answer:
(-5,1)
(-2,4)
Step-by-step explanation:
y = x + 6
y = x^2 + 8x + 16
Since both equations are equal to y, we can set them equal to each other
x + 6 = x^2 + 8x + 16
Subtract x from each side
x -x + 6
= x^2 + 8x-x + 16
6 = x^2 +7x +16
Subtract 6 from each side
6-6 = x^2 +7x +16-6
0 = x^2 +7x +10
Factor
What 2 numbers multiply together to give us 10 and add together to give us 7?
5*2 = 10
5+2 =7
0 = (x+5) (x+2)
Using the zero product property
x+5 = 0 x+2 = 0
x = -5 x=-2
Now we need to find the y's that go with the x's
x=-5
y= x+6
y =-5+6
y=-1
(-5,1)
x=-2
y = -2+6
y=4
(-2,4)
What is the value of x, given that OP||NQ
x= 7
x=9
x=12
x= 24
Answer:
Step-by-step explanation:
It is x=24
Answer:
(C) [tex]x=12[/tex]
Step-by-step explanation:
Given: It is given that OP is parallel to NQ and ON=7, NM=21. PQ=x, QM=36.
To find: The value of x.
Solution: It is given that OP is parallel to NQ and ON=7, NM=21. PQ=x, QM=36, thus using the proportionality theorem, we get
[tex]\frac{ON}{OM}=\frac{PQ}{PM}[/tex]
Substituting the given values, we have
[tex]\frac{7}{7+21}=\frac{x}{x+36}[/tex]
Upon solving the above equation, we get
[tex]\frac{7}{28}=\frac{x}{x+36}[/tex]
[tex]\frac{1}{4}=\frac{x}{x+36}[/tex]
[tex]x+36=4x[/tex]
[tex]x=12[/tex]
Hence, the value of x is 12 and option C is correct.
98 POINTS!! PLS HELP!
2 Plain, 3 Cinnamon raisin, 4 Poppy seed, 2 French toast, 1 Wheat.
1. Whats the probability of (Not Cinnamon raisin) Explain.
1b. Probability of (Plain, Wheat, or Poppy) Explain how you got this answer.
Show work
1. 9/12 because all of them added together is 12 but cinnamon raisin is 3 so 12-3 gives u 9 and the total is 12 so 9/12
1b. Plain(2) wheat(1) poppy(4) 2+1+4=7. The total is again 12 so 7/12
What is the value of the expression |x+y| when x=-7 and y= -18
Answer:
25
Step-by-step explanation:
-7 - 18 = -25
|-25| = 25
Answer:
25
Step-by-step explanation:
|x+y| when x=-7 and y= -18 is |-7 - 18| = 25
What is the difference of scientific notation. 0.00067 - 2.3 x 10⁻⁵
A. 6.47 x 10⁻⁴
B. 6.47 x 10⁻⁵
C. 4.4 x 10⁻⁵
D. 4.4 x 10¹
For this case we must find the difference of the following expressions:
[tex]0.00067\\2.3 * 10 ^ {- 5}[/tex]
For the second expression we must run the decimal 5 times to the left, because the exponent is negative, that is:
[tex]0.000023[/tex]
We subtract:
[tex]0.00067-0.000023 = 0.000647[/tex]
Represented in scientific notation we have:
[tex]6.47 * 10 ^ {- 4}[/tex]
Answer:
Option A
Answer:
6.47 x 10^(-4)
Step-by-step explanation:
already did it mate
Which graph could represent the amount of green beans when selling at a unit rate of G dollars per pound?
Answer:
see attached
Step-by-step explanation:
The function that tells you the number of dollars you spend on a given number of pounds creates graphs with the coordinates (pounds, dollars).
If you want 1 pound to correspond to G dollars, then a point on the graph will be ...
(1, G)
Answer:
(1,g)
Step-by-step explanation:
hope this helps
A cylinder has a height of 3 inches and a diameter of 3 inches. What is the volume of the cylinder?
Answer:
Step-by-step explanation:
21 inches
Determine the volume of the figure that has a radius of 2 feet. Round your answer to the nearest tenth of a cubic foot. use 3.14 as an approximate value for pi.
Answer:
167.47 cubic feet
Step-by-step explanation:
Volume of the Cylinder
3.14×2^2×12=150.72
Volume of the Cone
3.14×2^2×4=50.24
50.24÷3=16.75
Total Volume
16.75+150.72=167.47
Volume is a three-dimensional scalar quantity. The total volume of the figure will be 167.552 ft³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the figure is the sum of the volume of the cone and the volume of the cylinder.
The volume of the cone = (1/3)πr²h = (1/3)×π×2²×4 = 5.334π ft³
The volume of the cylinder = πr²h = π × 2² × 12 = 48π ft³
The total volume of the figure can be written as,
Total Volume = Volume of cone + Volume of cylinder
= 5.33π ft³ + 48π ft³
= 167.552 ft³
Hence, the total volume of the figure will be 167.552 ft³.
Learn more about Volume:
https://brainly.com/question/13338592
#SPJ2