JK, KL, and LJ are all tangent to circle O. The diagram is not drawn to scale. If JA = 10, AL = 23, and CK = 9, what is the perimeter of ∆JKL
A.84
B.66
C.42
D.38
Answers
Answer: the perimeter of JKL is 84
ik this is rlly late but to help anyone else who gets this question:
This is an equilateral triangle, so the adjacent length is gonna be the same value as its corresponding length that was listed
JA = 10
JB = JA, JB is also 10
JA + JB (10+10) = 20
AL = 23
LC = AL, LC is also 23
AL + LC (23+23) = 46
CK = 9
KB = CK, KB is also 9
CK + KB (9+9) = 18
add all those up:
20 + 46 + 18 = 84
Related Questions
A regular octagonal pyramid has a base edge of 3m and a lateral area of 60m^2. Find its slant height.
Answers
Find area of 1 triangle:
Area of one side triangle = 60 ÷ 8 = 7.5 m²
Given area and length, find height:
Area of each triangle = 7.6 m²
Length of each triangle = 3m
Area = 1/2 x base x height
7.5 = 1/2 x 3 x height
Heigth = 5m
Answer: Slanted Height = 5 m
The slant height is 5 m
A quadrilateral has angles that measure 90°, 46°, and 120°. What is the measure of the fourth angle?
Answers
The sum of the internal angles of a quadrilateral is equal to 360 degrees
so
Let
x--------> the measure of the fourth angle
90+46+120+x=360
x=360-(90+46+120)
x=104 degrees
the answer is
the measure of the fourth angle is 104 degrees
Under the normal curve, approximately what percent of scores fall between and -1 to +1 standard deviations around the mean?
Answers
You can use a calculator to get a more approximate answer. If you have a TI calculator, you can use the "normalcdf" function to type in normalcdf(-1,1)
Which is the correct simplified form of the expression ?(4m-2n8/9m-6n-8)1/2
Answers
Answer:
[tex]\frac{2m^2n^8}{3}[/tex]
Step-by-step explanation:
The given expression is:
[tex](\frac{4m^{-2}n^8}{9m^{-6}n^{-8} })^{\frac{1}{2}}[/tex]
Upon simplifying the above equation, we get
Move [tex]m^{-6}[/tex] to teh numerator and Using the negative exponent rule, we get
=[tex](\frac{4m^{-2}n^8m^6}{9n^{-8} })^{\frac{1}{2}}[/tex]
Move [tex]n^{-8}[/tex] to teh numerator and Using the negative exponent rule, we get
=[tex](\frac{4m^{-2}n^8m^6n^8}{9})^{\frac{1}{2}}[/tex]
=[tex](\frac{4m^{4}n^{16}}{9})^{\frac{1}{2}}[/tex]
=[tex](\frac{(2)^2(m^2)^2(n^8)^2}{(3)^2})^{\frac{1}{2}}[/tex]
=[tex]\frac{2m^2n^8}{3}[/tex]
which is the correct simplified form of the given expression.
Can someone please help me with this!!
Will give brainliest!!
Answers
Computer amount of interest earned and the following simple interest from a deposit of 5500 at 6% for three years equals?
Answers
1 year = $330
3 years = $330 x 3 = $990
Answer: $990
) the supplement of an angle is thirty more than twice the angle. find the measure of the angle and its supplement. answer
Answers
50 x 2 = 100
100 + 30 = 130
130 + 50 = 180
The other angle would be 130 degrees. And the original angle would be 50.
Solve d = c π for π. A) π = cd B) π = c d C) π = d c D) π = c − d
Answers
Answer:
The answer is B
Step-by-step explanation:
What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)squared + 4?
Answers
Answer:
x = 3/2
Step-by-step explanation:
That is quite long and drawn out, so we have to get it down to a single quadratic equation, set equal to 0.
Begin by expanding the right side to get
[tex]y+3x-6=-3(x^2-4x+4)+4[/tex]
then multiplying in the -3 to get
[tex]y+3x-6=-3x^2+12x-12+4[/tex]
Now we will combine all the like terms and get everything on one side of the equals sign, and set it equal to 0:
[tex]-3x^2+9x-2=0[/tex]
In order to find the equation of the axis of symmetry we have to put it into vertex form, which is accomplished by completing the square on this quadratic.
In order to complete the square, the leading coefficient has to be a +1. Ours is a -3, so we will factor that out. First, though, now that it is set to equal 0, we will move the constant, -2, over to the other side, isolating the x terms.
[tex]-3x^2+9x=2[/tex]
Now we can factor out the -3:
[tex]-3(x^2-3x)=2[/tex]
The rules for completing the square are as follows:
Take half the linear term, square it, and add it to both sides. Our linear term is 3. Half of 3 is 3/2, and squaring that gives you 9/4. We add into the parenthesis on the left a 9/4, but don't forget about that -3 hanging around out front that refuses to be ignored. We didn't add in just a 9/4, we added in (-3)(9/4) = -27/4:
[tex]-3(x^2-3x+\frac{9}{4})=2-\frac{27}{4}[/tex]
In the process of completing the square we created a perfect square binomial on the left. Stating that binomial and simplifying the addition on the right gives us:
[tex]-3(x-\frac{3}{2})^2=-\frac{19}{4}[/tex]
We can determine the axis of symmetry at this point. Because this is a positive x-squared polynomial, the axis of symmetry is in the form of (x = ) and what it equals is the h coordinate of the vertex. Our h coordinate is 3/2; therefore, the axis of symmetry has the equation x = 3/2
Twenty different statistics students are randomly selected. for each of them, their body temperature ( degrees °c) is measured and their head circumference (cm) is measured. if it is found that r=0, does that indicate that there is no association between these two variables?
Answers
An r-value, or correlation coefficient, goes from -1 to positive 1. -1 indicates a perfect decreasing match and 1 indicates a perfect increasing match. 0 indicates no relationship between the variables.
what is the best approximation of the volume, in cubic units, of a cone of diameter 20 and height 13
Answers
to solve this, use the following equation:
divide the diameter by 2 to get the radius
π[tex] r^{2} [/tex][tex] \frac{h}{3} [/tex]
and you will have:
1361.36 cubic units
I hope this helps, and have a nice day!
The best approximation for the volume of the cone in cubic units is 1361.357 units³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given that,
Diameter of the cone = 20
Radius of the cone, r = Half of diameter
= 20/2 = 10
Height of the cone, h = 13
Volume of the cone = 1/3 π r² h
= 1/3 π (10)² (13)
= 1361.357 units³
Hence the volume is 1361.357 units³.
Learn more about Volume here :
https://brainly.com/question/29767724
#SPJ2
PLEASE HELP !!
2. A cube-shaped aquarium has edges that are 3 ft long. The aquarium is filled with water that has a density of 62 lb/ft³.
(a) Should the aquarium be placed on a table that can support a maximum weight of 200 lb? Explain why or why not.
(b) Would the density of the water change if the aquarium was only half full? Explain.
Answers
Let's find the volume of the tank.
Volume of a rectangular prism = length*width*height
V = L*W*H
V = 3*3*3
V = 27 cubic feet
There is 27 cubic feet of water in the tank if the tank is completely full. Use the fact that
1 cubic foot of water = 62 pounds
so we can convert from volume to weight
(27 cubic feet)*(62 pounds/1 cubic foot) = 27*62 = 1674 pounds
If the tank is completely full, then the water weighs 1674 pounds, which is far greater than the 200 lb max weight limit for the table. The table will fall apart if you place a full aquarium on top of it. Note: this is not including anything else that would go inside the tank such as rocks, plant matter, fish, the glass of the tank itself, etc
In short, the aquarium should not be placed on the table as it exceeds the table's weight limit.
---------------------------------------------------------------------------
Part (b)
The density will not change because the density is how packed in a substance is for any cubic unit of volume. Saying "the density of water is 62 pounds per cubic foot" means that for a cubic foot, water naturally weighs 62 pounds .We can scale this to any size we want and the density will stay the same.
It's like saying that the fractions 1/2 and 2/4 are the same. The 2/4 is the scaled version of 1/2. So back to the water example, if we had 2 cubic feet of water then it would weigh 2*62 = 124 pounds. So the ratio
2 cubic feet: 124 pounds
simplifies back to
1 cubic foot: 62 pounds
note: the larger the density, the heavier the object is assuming the volume is held constant
The weight of the water in the cube-shaped aquarium will be 1674 lb, which is much greater than the table's maximum weight capacity of 200 lb. Therefore, the aquarium should not be placed on the table. The density of the water remains constant at 62 lb/ft³ regardless of how much the aquarium is filled.
To determine if the aquarium can be placed on a table with a weight limit of 200 lb, we must first calculate the weight of the water the aquarium will hold. We calculate the volume of the aquarium, then multiply it by the density of water, as the density is given as weight per unit volume (specifically 62 lb/ft³).
The volume (V) of a cube is given by V = side³, so for our aquarium with 3 ft long edges, V = 3³ = 27 ft³. The weight of the water (W) is therefore W = density x volume = 62 lb/ft³ x 27 ft³ = 1674 lb. Since 1674 lb exceeds the table's maximum weight capacity of 200 lb, the aquarium should not be placed on the table.
As for part (b), the density of the water does not change whether the aquarium is full or half full. Density is an intensive property meaning it's independent of the quantity of the substance present. Therefore, whether the aquarium is filled or only half filled, the density of the water remains at 62 lb/ft³.
Professor Scott has 84 students in his college mathematics lecture class. The scores on the midterm exam are normally distributed with a mean of 72.3 and a standard deviation of 8.9. How many students in the class can be expected to receive a score between 63.4 and 81.2? Express the answer to the nearest student.
Answers
A suitable calculator can show you the number of students having a score in that range is expected to be about 57.
Kristin decides to spend at most $50 for a birthday dinner at a restaurant, including a 15% tip.,
Write an inequality in one variable to represent this situation.
What is the most that her meal can cost before a tip?
Answers
Where x is the meal's cost (no tip included)
50 - 15% = 42.5.
x >(or equal to) 42.50.
(nothing is copied content, I copy pasted a number into the right position, feel free to check it mods)
The representation of this situation as an inequality is 1.15x ≤ 50. To find the maximum possible cost of Kristin's meal before the tip, the inequality is solved for x, which results in the value of $43.48.
Explanation:In this scenario, the cost of Kristin's meal before the tip can be represented by the variable x. The tip is 15% of the cost of the meal, which can be represented as 0.15x. The total cost of the meal, including the tip, is therefore x + 0.15x, which is 1.15x. Given that the total cost cannot exceed $50, we can write the following inequality to represent this situation: 1.15x ≤ 50.
To find the most that her meal can cost before a tip, we need to solve this inequality for x. So, we divide both sides by 1.15: x ≤ 50/1.15. After calculation, we find that x (the cost of the meal before the tip) must be ≤ about $43.48.
Learn more about Inequality here:https://brainly.com/question/30231017
#SPJ3
Look at the cylinder below. which of these could not be a cross section of the cylinder? a circle b square c triangle d rectangle
Answers
If you sliced horizontally across a cylinder standing up, you would have a circle.
If you sliced vertically down a cylinder standing up, you could have either a rectangle or a square.
You would never have a triangle.
Final answer:
A square cannot be a cross section of a traditional circular cylinder when sliced perpendicular to its height. However, circles, rectangles, and triangles can be cross sections depending on the shape of the cylinder and the slicing.
Explanation:
When considering the cross sections of a cylinder, it is important to remember that the cross-sectional shape remains consistent along the height of the cylinder. A cross section made perpendicular to the height of a traditional circular cylinder is always a circle. Therefore, the correct answer to which shape could not be a cross section of a cylinder is a square, option b. Circles, rectangles, and triangles can all be cross sections of a cylinder depending on the shapes of the top and bottom faces of the cylinder and how the cross section is sliced.
If the cylinder is a right circular cylinder, the only possible perpendicular cross-sectional shape is a circle. A square cross section can occur in a cylinder if the top and bottom faces are square and the cylinder is not circular. Similarly, a rectangular cross section can occur if the cylinder has a rectangular type of cross-section to start with. However, for a circular cylinder, a triangle cannot be a cross section because slicing it will always yield a circular shape due to the round nature of its base.
What is a polynomial function in standard form with zeroes 0, 1, 4, and –1?
(Please help and thanks in advance!)
Answers
(x) * (x-1) * (x + 1) * (x-4) = 0
Rescribing we have:
(x) * (x ^ 2-1) * (x-4) = 0
(x) * (x ^ 3 - 4x ^ 2 - x + 4) = 0
(x ^ 4 - 4x ^ 3 - x ^ 2 + 4x) = 0
Therefore, the polynomial in standard form is:
f (x) = x ^ 4 - 4x ^ 3 - x ^ 2 + 4x
Answer:
a polynomial function in standard form with zeroes 0, 1, 4, and -1 is:
f (x) = x ^ 4 - 4x ^ 3 - x ^ 2 + 4x
Help
How much will $5,000 invested at 6% compounded annually amount to after 10 years?
Answers
5000 + 0.06(5000)
For 10 years:
5000 + 10(0.06(5000))
Multiply:
5000 + 0.6(5000)
We can make it smaller:
1.6(5000) = 8000
You can make $8000
How do you find the base of this triangle? (Picture should be able to be seen)
Answers
since all three are similar, we can use the proportions on the corresponding sides, as you see in the picture, the base of the triangle then will just be x + y.
Anja collected data about the number of dogs 9th-grade students own. She created this histogram to represent the data and determined that it is skewed right. Which statement is true about Anja’s claim?
Answers
A tree is 100 feet tall casts a shadow that is 150 feet long . Determine the angle at which the rays of of tge sun hit the ground , to tye nearest degree
Answers
1. You have the following information given in the problem above:
- The tree is 100 feet tall.
- The tree casts a shadow that is 150 feet long.
2. Therefore, you have:
Tan^-1(α)=opposite/adjacent
Where:
- α is the angle.
- opposite=100 feet.
-adjacent=150 feet.
2. When you substitute these values, you obtain:
Tan^-1(α)=100/150
α=34º
The answer is: 34º
If SAT scores are normally distributed with a mean of 1518 and a standard deviation of 325, find the probability that a randomly selected SAT score is between 1550 and 1575.
A.
0.5714
B.
0.9684
C.
0.0316
D.
0.5398
Answers
Standard deviation, sigma = 325
Range required: 1550 ≤ X ≤ 1575
Z = (X - x_bar)/sigma
Z1 = (1550-1518)/325 ≈ 0.1
Z2 = (1575-1518)/325 ≈ 0.18
From Z tables,
P(Z1) = 0.5398
P(Z2) = 0.5714
P(1550≤X≤1575) = P(Z2) - P(Z1) = 0.5714 - 0.5398 = 0.0316
The correct answer is C.
Answer:
C.
0.0316
Step-by-step explanation:
Write the equation of the given circle.
center (-2, -2)
radius of 6
Answers
(x + 2)² + (y + 2)² = 36
When you have two shapes to compare on a coordinate plane, you can determine the scale factor, knowing that the transformation was a dilation. Generate instructions you would give another student to determine the scale factor.
Answers
The dilation is therefore:
(x,y) ............> (x',y')
Now, let's assume that the dilation factor is k.
Therefore:
x' = kx
y' = ky
Based on the above, all the student has to do is get the initial coordinates and the final ones and then substitute in any of the above two equations to get the value of k.
Example:
Assume an original point at (2,4) is dilated to coordinates (4,8). Find the dilation factor.
Assume the dilation coefficient is k.
(x,y) are (2,4) and (x',y') are (4,8)
Therefore:
x' = kx .........> 4 = k*2 ..........> k = 2
or:
y' = ky ..........> 8 = k*4 .........> k = 2
Based on the above, the dilation coefficient would be 2.
Hope this helps :)
Sample Response: Locate two corresponding ordered pairs of the two shapes. Calculate how much the pre-image values were multiplied by to obtain the image values. This is your scale factor. You can calculate this by dividing the coordinates of the mage by the corresponding coordinates of the pre-image.
Which function has an inverse that is also a function?
Answers
Option C gives us such a function, all x values are different and all y values are different. So inverse of function given in option C will result in a relation which will also be a function.
In all other options, y values are being repeated, which means they are not one to one functions.
So, the answer to this question is option C
{ ( -1 , 3 ) , ( 0,4 ), ( 1 , 14 ) , ( 5, 6 ) , ( 7, 2 )}
Further explanationFunction is a relation which each member of the domain is mapped onto exactly one member of the codomain.
There are many types of functions in mathematics such as :
Linear Function → f(x) = ax + bQuadratic Function → f(x) = ax² + bx + cTrigonometric Function → f(x) = sin x or f(x) = cos x or f(x) = tan xLogarithmic function → f(x) = ln xPolynomial function → f(x) = axⁿ + bxⁿ⁻¹ + ...If function f : x → y , then inverse function f⁻¹ : y → x
Let us now tackle the problem!
According to the definition above, it can be concluded that a function cannot have the same x value.
Of the four tables available in choices, table option C has an inverse that is also a function. This is because x values and y values are all different.
[tex]\{(-1,3) , ( 0,4} ) , ( 1,14 ) , ( 5, 6) , ( 7, 2) \}[/tex]
Option A doesn't have inverse because there is the same value of y i.e 4
[tex]\{(-1,-2) , ( 0,\boxed{4} ) , ( 1,3 ) , ( 5, 14) , ( 7, \boxed {4}) \}[/tex]
Option B doesn't have inverse because there is the same value of y i.e 4
[tex]\{(-1,-2) , ( 0,\boxed{4} ) , ( 1,5 ) , ( 5, \boxed {4}) , ( 7, 2) \}[/tex]
Option D doesn't have inverse because there is the same value of y i.e 4
[tex]\{(-1,\boxed {4}) , ( 0,\boxed{4} ) , ( 1,2 ) , ( 5, 3) , ( 7, 1) \}[/tex]
Learn moreInverse of Function : https://brainly.com/question/9289171Rate of Change : https://brainly.com/question/11919986Graph of Function : https://brainly.com/question/7829758Answer detailsGrade: High School
Subject: Mathematics
Chapter: Function
Keywords: Function , Trigonometric , Linear , Quadratic
What is 12.5(18/6)+5³
Answers
Final answer:
To solve the expression 12.5(18/6) + 5³, divide 18 by 6 to get 3. Multiply 12.5 by 3 to get 37.5. Then, calculate 5³, which equals 125. Adding the results, you get 162.5.
Explanation:
To solve the expression 12.5(18/6) + 5³, follow the order of operations (PEMDAS/BODMAS). First, divide 18 by 6, which equals 3. Next, multiply 12.5 by 3, which equals 37.5. Finally, calculate 5³, which equals 125. Adding the results, 37.5 + 125 = 162.5.
Factor this expression.
4x – 20
A. 4(x – 16)
B. 4(x – 6)
C. 4(x – 5)
D. 4(x – 10)
Answers
Answer: C. 4(x – 5)
Solve this inequality: 3q + 11 + 8q > 99. A. q > 8 B. q > 1/8 C. q > 88 D. q > 11
Answers
To solve this problem we must first group like terms.
Original Equation :
3q + 11 + 8q > 99
New Equation {Grouped Like Terms} :
3q + 8q + 11 > 99
Now, we'll add our similar elements.
Old Equation :
3q + 8q + 11 > 99
New Equation {Added Similar Elements} :
11q + 11 > 99
Next, we'll have to change the equation. To do this we'll add minus eleven to both sides of the equation. This will give us eleven q on its own.
Old Equation :
11q + 11 > 99
New Equation {Added Subtract 11 to Both Sides} :
11q + 11 - 11 > 99 - 11
Now we simplify.
Old Equation :
11q + 11 - 11 > 99 - 11
New Equation {Old Equation Simplified} :
11q > 88
Now, we'll have to divide both sides by eleven. We do this so as to get the variable ( q ) on its own.
Old Equation :
11q > 88
New Equation {Added Divide Both Sides by 11} :
[tex] \frac{11q}{11} [/tex] > [tex] \frac{88}{11} [/tex]
Once again, we now have to simplify.
Old Equation :
[tex]\frac{11q}{11}[/tex] > [tex]\frac{88}{11}[/tex]
New Equation {Old Equation Simplified} :
q > 8
So, this means that the solution to the inequality given is q > 8.
Hope this helps!
- Lindsey Frazier ♥
Which equation shows 2x – y = 6 converted to slope-intercept form? y = x – 3 y = 2x – 6 y = –2x + 6
Answers
so you would subtract the 2x over to get -y=-2x+6 then you would divide by -1 to get y=2x-6
so y=2x-6 is the answer
Wright a real world problem that involves classifying a quadrilateral. Then solve the problem.
Answers
The shape of quadrilateral ABCD changes as the moving platform swings around, but its side lengths do not change. Both pairs of opposite sides are congruent, so ABCD is a parallelogram by Theorem 8.7.By the definition of a parallelogram, AB DC . Because DC is parallel to line l, AB is also parallel to line l by the Transitive Property of Parallel Lines. So, the moving platform is parallel to the ground.
The volume of an oblique pyramid with a square base is V units3 and the height is h units.
Which expression represents the area of the base of the pyramid?
A)3v/h units
B)(3V – h) units
C)(V – 3h) units
D)V/3H units
Answers
V = (1/3) * (Ab) * (h)
Where,
Ab: base area
h: height
Clearing the area of the base we have:
Ab = (3 * V) / (h)
Answer:
An expression that represents the area of the base of the pyramid is:
A) 3v / h units
Answer: A. 3V/ h units^2
Step-by-step explanation: