If AT = 12 and KN = 18, find OB.​

If AT = 12 And KN = 18, Find OB.

Answers

Answer 1

Answer:

15

Step-by-step explanation:

There is a formula for this it is,

B1+B2/2

B1= Base one or TA in this case

B2= Base two or NK in this case

You replace the values with the variable:

B1=12

B2=18

12+18/2 = 30/2= 15

OB=15

Answer 2

The midsegment of the trapezium OB is 15

Mid segment of a trapezium:

The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases.

OB = mid segment

Therefore, mathematically,

OB = 1 / 2 (AT + KN)

where

AT = 12

KN = 18

Therefore,

OB = 1 / 2(12 + 18)

OB = 30 / 2

OB = 15

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Related Questions

If it takes 9 hours to travel from North Carolina to Florida driving an
average speed of 55 mph, about how long will it take to travel from North
Carolina to Florida driving an average speed of 70 mph?

Answers

Time taken to travel from North Carolina to Florida driving an average speed of 70 mph is 7 hours.

What is the typical speed?

Calculating average speed involves dividing the total distance traveled by the total time it took to cover that distance.

Given,

Time taken to travel = 9hours

average speed =55 mph

distance between North Carolina to Florida = speed x distance

distance= 55 x 9

distance= 495 miles

if driving at speed of 70 mph

time taken = distance/speed

time taken=495/70

time taken=7 hours

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The six sides of a number cube are labeled 1,2,3,4,5,and six you flip a coin and roll the number cube what is the theoretical probability that the coin lands on heads and u roll the cube and the number is less then 5. Write your answer as a fraction

Answers

The theoretical probability that the coin lands on heads and roll the cube and the number are less than 5 is 1/3.

What is an event?

An event is a collection of experiment results (a subset of the sample space) to which a probability is ascribed in probability theory.

There are 6 faces of a cube.

The numbers less than 5 on a cube are 1, 2, 3, 4.

The number of favorable outcomes is 4.

The total number of outcomes is 6.

The probability of getting less than 5 is

favorable outcome/ total number of outcomes = 4/6 = 2/3.

The number of faces of a coin is 2.

The number of heads of a coin is 1.

The probability of getting head is 1/2.

The probability of getting less than 5 in a roll and head in the coin is

2/3 × 1/2 = 1/3.

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What is the slope of the line passing through the points − 3 4 and 2 − 1?

Answers

Therefore, the slope of the line passing through the points (-3,4) and (2,-1) is -1

What is a Straight Line?

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things. The term "line" may also be used to describe a line segment in daily life that contains two locations that serve as its endpoints.

Define Slope.

A line's steepness may be determined by looking at its slope. The slope is computed mathematically as "rise over run" (change in y divided by change in x). Also, The slope of a line is known as "m", is the ratio of the change in the y-coordinate to the change in the x-coordinate of two points on the line.

To find the slope of a line passing through the points (-3,4) and (2,-1), we can use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

So, using the given points:

m = (-1 - 4) / (2 - (-3))

m = -5 / 5

m = -1

Therefore, the slope of the line passing through the points (-3,4) and (2,-1) is -1

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In ΔABC, if AB = BC and

Answers

Answer: not enough to answer

I NEED HELPPPPPPP
Anita needs to construct ten cones for a class project. How many square feet of material will she need? Use 3.14 for π. Enter your answer in the box.

Answers

Answer:

Since she needs 10 cones:

10 * 116.52 sq. ft = 1,165.2 sq ft.

She will need 1,165.2 sq ft of material.

Step-by-step explanation:

Helpppppppppp pleaseeee

Answers

B because to be a pitcher you need to be a baseball player.

I have to try and find the volume of the cone

Answers

Answer:

1,282.2 m³

Step-by-step explanation:

We'll use the formula 1/3*(B*h)

First, you have to find the area of the base

formula: πr²

radius: 7

7*7= 49

49*3.14=153.86

Now, multiply 153.86 by 25 (the height)

153.86*25= 3,846.5

Lastly, divide 3,846.5 by 3 and get 1,282.2 rounded

A certain movie is 105 minutes long. It started at 6:15 pm. During the movie, there were two commercial breaks, one lasting 9
minutes and one lasting 6 minutes. At what time did the movie finish?

Answers

Answer: 8:15pm

Step-by-step explanation:

9+6=15 +105 = 120, 120/60=2 hours (total duration), 6:15 + 1 hour = 7:15 + 1 hour = 8:15pm

write the frraction 7/14 in simplest form

Answers

Answer:

To find the simplest form is to find a number than can evenly go into both numbers. 7/14=1/2. 1/2 as you can divide 7 into 7 one time and 7 into 14 twice. A half (1/2). Because 7 is the half of 14, so the simplest form is 1/2. At first look you think it's already in its simplest form, but

explanation:

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{\dfrac{7}{14}}\\\\\\\mathsf{= \dfrac{7\div7}{14\div7}}\\\\\\\mathsf{= \dfrac{1}{2}}\\\\\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{\dfrac{1}{2}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]

Which values of x are solutions of the equation below
1/x-4 + x/x-2=2/x^2-6x+8
X=-1
X=-1,4
X=2
X=2,4

Answers

Answer:

x = 3.3 and -0.3

Step-by-step explanation:

Given the expression

1/x-4 + x/x-2=2/x^2-6x+8

Find the LCM

x-2+x(x-4)/(x-4)(x-2) = 2/x^2-6x+8

Since the denominator, are the same they cancels out

x +1 + x(x-4) = 2

x+1 + x²-4x = 2

x²-3x + 1 - 2 = 0

x² - 3x - 1 = 0

Factorize

x =3±√9+4/2

x =3±√13/2

x = 3±3.6/2

x= 6.6/2 and -0.6/2

x = 3.3 and -0.3

Answer:

its -1 trust me I used another website to answer this question

Step-by-step explanation:

I took the diagnostic also

I WILL GIVE YOU BRAINLIEST
PLEASE HELP

Using this method solve this for me
A = P(1+r/n)^(n)(t)
- Write an equation to model the value of the stock investment after t months.

Answers

A=18000(1+0.12/1)^(1)(t)

How many 2/3s are in 2?

Answers

On solving the provided question we can say that - in fractions 2/3 and 2 we can do 2/3X2 = 4/3

what is fraction?

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

here,

in the given fractions 2/3 and 2/1,

we can do that -

2/3 X 2/1 = 4/3

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he distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance.b.The distance traveled is three times the number of hours I have hiked. The independent variable is distance. The dependent variable is hours..c.The hours I have hiked is three times the distance. The independent variable is distance. The dependent variable is hours.d.The hours I have hiked is three times the distance. The independent variable is hours. The dependent variable is distance.

Answers

The option a "The distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance." is correct.

In the given question, we have to write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.

As we know that the distance formula is the multiplication of of speed and time.

So, the distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance.

So the option a is correct.

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The complete question is:

The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hours while hiking. Write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.

a. The distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance.

b. The distance traveled is three times the number of hours I have hiked. The independent variable is distance. The dependent variable is hours.

c. The hours I have hiked is three times the distance. The independent variable is distance. The dependent variable is hours.

d. The hours I have hiked is three times the distance. The independent variable is hours. The dependent variable is distance.

Find the area of a circle with a radius 8 m

Answers

Answer:

area of circle=πr²22/7×825.14m²

hope it helps.

Answer:

area of circle = πr²

22/7×8

25.14m² is the answer of your question

hope it is helpful to you

Angle of elevation please help if you know .tysm

Answers

Answers:

Y = 176.0 feetX = 128.7 feet

Note: Your teacher may not want you to type "feet" into the answer boxes.

=============================================================

Explanation:

The tree's shadow is 120 ft long, so it's the length of the horizontal side of the triangle. With regard to the reference angle (47 degrees), this 120 ft side is adjacent to the angle because it's as close as possible to the angle. That means the X is the opposite side of the reference angle.

The Y side is the longest side. It's the hypotenuse. The hypotenuse is always the longest side and always opposite the largest angle of a right triangle (so it's always opposite the 90 degree angle).

-------------

To find Y, we'll use the cosine rule

cos(angle) = adjacent/hypotenuse

cos(47) = 120/Y

Y*cos(47) = 120

Y = 120/cos(47)

Y = 175.9535 .... make sure your calc is in degree mode

Y = 176.0

When rounding to the nearest tenth, the second '5' will bump that 9 up to 10, which then carries over and why 175 bumps up to 176.

The distance from the tip of the tree to the tip of the shadow is roughly 176 feet.

-------------

We can use the tangent rule to find X

tan(angle) = opposite/adjacent

tan(47) = X/120

120*tan(47) = X

X = 120*tan(47)

X = 128.6842

X = 128.7

The tree is roughly 128.7 feet tall

This is somewhere between a 12 story and 13 story building assuming each story is 10 ft (since 12 stories = 12*10 = 120 ft, and 13 stories = 130 ft).

BRAINLIEST TO BEST IN DEPTH ANSWER (NO BRAINLY IF DOESN'T ANSWER ALL QUESTIONS

Answers

Answer for question 1: B. Because 10 times 1 is 10 kg and is not close to 100

Answer for question 2: B. because it is within the scientific measurement of between 1-10

Answer for question 3: C. Because 24-2 is 22

One line passes through the points (-4, 2) and (0,3); another line passes through the points
(-3,-2) and (3,2). Are these lines parallel, intersecting, perpendicular, or identical?

Answers

Intersecting i think

Do the following lengths form a right triangle?
6
8
9

Answers

Answer:

No

Step-by-step explanation:

You can check using pythagoras theorem

Denise dusted a square tabletop with an area of 36x^16y^4 units write an expression to represent one side length of the table top

Answers

The length of the side of the table top as calculated from the given data will be 6x⁴y².

To calculate the area of the table top we will have to square of the sides given .

area =(36x.16y^4 )²

side =√(36x.16y^4 )²

= 6x⁴y².

In mathematics the product of a number multiplied by itself is considered to be its square. Eg.) 6 multiplied by 6 gives 36 which is known as its square.

The given table is square in shape and hence its area will be given my multiplying its side with itself.

Area of a square = side x side.

To find its length we can simply find the square root of the number.

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6. If l // k and k // m, then

Answers

Answer:

If l //k and k// m then L//m

So, option D is your answer

Step-by-step explanation:

If 2 lines are parallel to A Third line, then the 2 lines are parallel.

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hope it helps..

have a great day!!

Calculate the perimeter of a right angled triangle with base 24m and height 7m ​

Answers

Step-by-step explanation:

there are a few things from school everybody has to burn into their brains for life. one of them : Pythagoras for right-angled triangles :

c² = a² + b²

c is the Hypotenuse (the triangle side opposite of the 90° angle), a and b are the triangle legs.

now, it depends on what you teacher agreed with you regarding naming the sides of such a triangle.

sometimes "base" is the Hypotenuse (baseline), sometimes it is one of the legs, and then the height is the second leg (as the legs are standing at a 90° or right angle at each other).

we have to assume the second one, as for the first one we have not enough information to solve the question (because with just a given Hypotenuse and the height to the Hypotenuse we can draw infinitely many different triangles with different perimeters).

so, we have

Hypotenuse² = 24² + 7² = 576 + 49 = 625

Hypotenuse = sqrt(625) = 25 m

the perimeter of the triangle is then

25 + 24 + 7 = 56 m

HELP PLEASE!! this is 8th grade math btw

Answers

Answer:

the 2nd one

Step-by-step explanation:

What is the opposite inverse of 4?

Answers

4 is the additive inverse of -4.

              OR

The opposite of 4 is -4, or negative four.

Now, According to the question:

Opposite numbers:-

Every number has an opposite. In fact, every number has two opposites: the additive inverse and the reciprocal—or multiplicative inverse. Don't be intimidated by these technical-sounding names, though. Finding a number's opposites is actually pretty straightforward.

If a number is added to its additive inverse, the sum of both the numbers becomes zero.

For any given number, the additive inverse is a number or a value which when added to the original number results in zero.

Mathematically: a + (-a) = 0

So here, 'a' and '-a' are the additive inverses of each other.

Therefore, for 4, the additive inverse is 4 = -4

Thus, 4 is the additive inverse of -4.

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Use this rule to fill in the table.
Rule: Subtract 6 from the input to get the output.

Answers

Answer:

1= 1

2=11

3=7

Step-by-step explanation:

subtract 6 from the input so

7-6=1

11-6=5 so input 11

13-6=7

First one is 1. Second one is 11. Third one is 6.

what is the perimeter of the triangle?

Answers

Answer:

the picture is messed up

Step-by-step explanation:

Answer:

34?

Step-by-step explanation:

P=a+b+c=10+12+12=34

A bird flew from the ground onto a tree branch 5 feet above the ground.What could the bird do next that would make this situation a model of combining a number and its additive inverse

Answers

We are given that A bird flew from the ground onto a tree branch 5 feet above the ground.

We are supposed to find What could the bird do next that would make this situation a model of combining a number and its additive inverse

Additive inverse - What you add to a number to get zero is additive inverse.

The negative of a number.

Now we are told  What could the bird do next that would make this situation a model of combining a number and its additive inverse

Since it already flew 5 feet above the ground .

Additive inverse of 5 feet is -5 feet

So, to make the situation of combining a number and its additive inverse

Bird has to flew 5 feet return to the ground i.e.-5 feet

So, a model of combining a number and its additive inverse = 5+(-5)

= 0.

Fly down 5 feet and return to the ground.

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Answer:

Fly down 5 feet and return to the ground.

Step-by-step explanation:

have a nice day.

Which equation with exponential expression are true?

Answers

Answer: B,D

Step-by-step explanation:

Evaluate each expression when a = -4 and b = 3.
Expression: 2a + 3b

Answers

Answer:

1

Step-by-step explanation:

2a +3b

let a=-4 and b=3

2(-4) +3(3)

Multiply

-8 +9

Add

1

Please help I beg of you

Answers

Answer:

ok so the answer is 191.4250159

Step-by-step explanation:

you use this C = 2√πA to solve. I hope this helps!

What type of a polynomial is 4 2x3?

Answers

The polynomial 4 2x3 is a degree 3 polynomial, also known as a cubic polynomial.

What is polynomial?

Polynomial is an expression consisting of variables, constants, and coefficients. It is an algebraic expression that can contain exponents, fractions, multiplication, addition, and subtraction. Polynomials are used to model many real-world situations, such as the volume of a cylinder or the area of a triangle. The degree of the polynomial is determined by the highest exponent of the variables in the expression. Polynomials can be divided, factored, and manipulated using the rules of algebra.

It consists of three terms and its general form is

ax³ m + bx² + cx + d, where a, b, c, and d are constants

and x is the variable. In this case,

a = 4, b = 2, c = 0 and d = 0,

so the polynomial is 4x³ + 2x².

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