The three sides of AJKL
measure 11.2 feet, 21 feet, and
23.8 feet. IS AJKL an acute,
right, or obtuse triangle?

Answers

Answer 1

Answer:

  right triangle

Step-by-step explanation:

I find it convenient to answer questions like this by computing a "form factor" that subtracts the square of the long side from the sum of the squares of the shorter sides. The sign of this value is the sign of the cosine of the largest angle in the triangle.

  f = a² +b² -c²

  f = 11.2² +21² -23.8²

  f = 125.44 +441 -566.44 = 0

The cosine of the largest angle is 0, so that angle is 90° and the triangle is a right triangle.

The Three Sides Of AJKLmeasure 11.2 Feet, 21 Feet, And23.8 Feet. IS AJKL An Acute,right, Or Obtuse Triangle?

Related Questions

Jack went to a local restaurant and ordered the following:
Soda - $2.75
Hamburger - $5.75
French Fries - $2.00
Chocolate Chip Cookie - $0.75
a) What was his subtotal?

Answers

The subtotal would be $11.25

Answer: I think it is 8.55

Step-by-step explanation:

have a nice day♥️

Please help asap
I cant figure out the answer

Answers

Answer:

3

Step-by-step explanation:

[tex]x=\sqrt{2x+3}[/tex]

square both sides:   [tex]x^2=2x+3[/tex]

subtract [tex]2x + 3[/tex] from both sides:  [tex]x^2-2x-3=0[/tex]

factorize:  [tex](x-3)(x+1)[/tex]

Therefore, [tex]x=3 \ and \ -1[/tex]

Substitute found values of [tex]x[/tex] back into original equation:

[tex]3=\sqrt{2\times3+3}=3 \ \ \checkmark[/tex]

[tex]-1=\sqrt{2\times-1+3}=1[/tex]  incorrect!

So answer is [tex]x = 3[/tex] only

what is 30 + 12 = e - 42

Answers

Answer:

e = 84

Step-by-step explanation:

30 + 12 = e - 42

e = 42 +42

e = 84

What is 2 cups of flour to 3 cups of sugar

Answers

Answer:

2:3 or 2/3

this is a ratio problem

Answer:

2:3?

Step-by-step explanation:

I'm kinda guessing from the question u gave cuz it doesn't really have a lot of information

3,328 divided by 8 show your thinking

Answers

Answer:

416

Step-by-step explanation:

Well I know 8 x 100=800 so I did 8 x 400=3,200

Then I added 8 x 10=80 which is 3,280

and from there I did 8 x 6=48

And then what's 3,280+48=3,328 because 3,280+40=3,320 and then add 8=3,328

Hope it helps

Answer:

If we break apart 3,328 and first divide 3,000 by 8 we get 375, and then divide 328 by 8 we get 41, this helps us understand that if we divided 3,328 by 8 we would get 416

Which expression means five times the sum of b and two?
A. 5 (b+2)

B. 5b+2

C. (b+2) over 5

D. b over (5+2)

Answers

Answer:

A

Step-by-step explanation:

Brackets are used to show multiplication.

For A if we multiple out the brackets we get: 5b+10 which means 5 times the sum if b and 2

pls help-
5(u+1)-u=3(u-1)+7
No solution?

Answers

[tex]5(u + 1) - u = 3(u - 1) + 7 \\ 5u + 5 - u = 3u - 3 + 7 \\ 5u - u + 5 = 3u - 4 \\ 4u + 5 = 3u - 4 \\ 4u - 3u = - 4 - 5 \\ u = - 9[/tex]

sorry if this is not correct

Find the probability of getting a prime number from 1 to 10

Answers

Step-by-step explanation:

For example, to find the probability that a prime is selected from 1 to 10 requires us to divide the number of primes from 1 to 10 by 10. The numbers 2, 3, 5, 7 are prime,

hope this helps you

please mark me brainliest

The location of XY is shown on the coordinate plan.

Please help

Answers

Answer:

,,,

Step-by-step explanation:

Which is the smallest ratio?

3 to 4 , 23 , 10:12 , 2 to 1

Answers

Answer: 2/3 is the smallest ratio.

Step-by-step explanation:

Tameka’s plant measured 3 inches at the beginning of the week and 5 inches at the end of the week. What was the approximate percent increase in the height of Tameka’s plant?
40%
25%
60%
67%

Answers

Answer:

25%

Step-by-step explanation:

Multiply:

3 × 5 = 25%

Hope this helps!! <3

If 7x – 24 = 8x – 39, then x = ?

Answers

Answer:

15

Step-by-step explanation:

-x=-15

x=15

105 -24 = 120 - 39

81 = 81

Answer:

X= 15

Step-by-step explanation:

7x – 24 = 8x – 39

39 - 24 = 8x - 7x

15 = 1x

x=15

12 1/3 - ( 2x + 3 2/3)

Answers

Answer:

hello there the correct answer is 16−2x

Step-by-step explanation:

1 - 2 + 5 - 2 + 5 x 2

Answers

Answer: 12

Step-by-step explanation:

Following PEMDAS, I’ll solve the multiplication first and then add or subtract the values from left to right.

1-2+5-2+5x2

1-2+5-2+10

-1+5-2+10

4-2+10

2+10

12

Answer:

12

Step-by-step explanation:

You need to use the order of operations, PEMDAS. It stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

First, multiplication on 5x2 so now it is 1-2+5-2+10.

Next, is addition and subtraction. When it says left to right you are starting with the part of the equation closest to the left, so 1-2=-1. Then add five to get 4. Subtract 2 to get 2. Finally, add 10 to get 12.

Hope you get an A! <3

two consecutive odd numbers between 60 and 80 which are both prime?

Answers

Answer:

Hello I'll help you :))!

So there are 21 numbers from 60 to 80 both terms inclusive.

We ignore all even numbers in this range as even numbers can not be prime.

The odd numbers are 61,63,65,67,69,71.73,75,77,79.

So remaining numbers are prime. They are 61,67,71,73,79.

So there are 5 prime numbers in this range.

ginger still has 40% of her book to read. if she has read 180 pages, how many pages does she still have to read?

Answers

Answer:

Ginger still has 40 percent of her book to read. If she has read 180 pages, the number of pages she still have to read:

N = 180 x (100 - 40)/40 = 270 pages

60%

Step-by-step explanation:

The base and height of a triangle are in the ratio 4: 5. If the area is 640 sq. cm, find the base and height.​

Answers

Answer:

base = 32 cm , height = 40 cm

Step-by-step explanation:

ratio of base : height = 4 : 5 = 4x : 5x ( x is a multiplier )

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ) , then

A = [tex]\frac{1}{2}[/tex] × 4x × 5x = 2x × 5x = 10x²

given A = 640 , then

10x² = 640 ( divide both sides by 10 )

x² = 64 ( take square root of both sides )

x = [tex]\sqrt{64}[/tex] = 8

Then

base = 4x = 4 × 8 = 32 cm

height = 5x = 5 × 8 = 40 cm


I can’t figure out how to solve this problem someone please help me

Answers

Answer:

x=30

Step-by-step explanation:

i actually dont know but thnks for the points BTW

Answer:

  x = 4

Step-by-step explanation:

In this geometry, all of the right triangles are similar. That means the ratio of short side to long side is the same for all of the right triangles:

  x/10 = 10/25

  x = 100/25 = 4 . . . . . multiply by 10

_____

Additional comment

You may notice that the two segments of the hypotenuse, x and 25, have a product that is the square of the altitude. Another way to say this is that the altitude is the geometric mean of the segments x and 25.

There are two other geometric mean relations in this geometry:

  the short side at the right is the geometric mean of x and (x+25).

  the long side at the bottom is the geometric mean of 25 and (25+x).

That is, the segments that intersect the hypotenuse are the geometric mean of the two segments of the hypotenuse that they meet.

  geometric mean of A and B is √(AB)

Using postulates and/or Theorems learned in unit 1, determine weather ABC ~ AXY. show all your work and explain why the triangles are similar and why they are not.

https://brainly.com/question/26558770

Answers

Answer:

AX / AB = 6/18 = 1/3

AY / AC = 10/25 = 2/5

They are not similar because the two ratios is not the same.

Step-by-step explanation:

Find the nth term rule for 18,15,12,9​

Answers

Answer:

an = a+(n-1) d

this is the rule

Answer:

nth term = 21 - 3n

Step-by-step explanation:

18,15,12,9....

This is an arithmetic sequence.

a= first term = 18

Common difference = d = second term - first term

d = 15 - 18

d = -3

nth term = a + (n-1)d

             = 18 + (n-1)*(-3)

              = 18 + n*(-3) - 1*(-3)

              = 18 - 3n + 3

               = 21 - 3n

g(x) =2x + 4; Find g(-3)

Answers

Answer:

[tex]g(-3)=-2[/tex]

Step-by-step explanation:

Substitute g(-3) into the function:

[tex]g(-3)=2(-3)+4[/tex]

Multiply:

[tex]g(-3)=-6+4[/tex]

Add:

[tex]g(-3)=-2[/tex]

Answer: -2

Step-by-step explanation:

plug g(x) with -3 so it would be 2(-3) + 4 and then simply and add so 2(-3) equals -6 + 4 is -2

Please try and help me answer this question. Thank you for any responses!

Answers

I really don’t even know this this app literally only gives you like 2 answers at a time.

-3÷3(a+c(b+5)-(-6+a)) use a=1 b= -6 and c= -4

Answers

-0.1

Explanation:

-3/3(a+c[b+5]-[-6+a])

-3/3(1-4[-6+5]-[-6+1])

-3/3(1-4[-1]-[-5])

-3/3(1 + 4 + 5)

-3/3(10)

-3/30

-0.1

Hope this helps!

Twice a day Cameron's cat eats 4 ounces of dry cat food and 2 ounces of wet cat food dry food comes in 5 pound bags and wet food comes in 6 ounce cans

A how many cans of wet food should he buy to feed his cat for a week?

B How many ounces of wet cat food will be left over at the end of the week

C How many days can he feed his cat from a 5 pound bag of dry food

Answers

b! the answer is b bc jusr say how much is left


Write a sequence of transformations that maps circle B onto circle A.

Answers

A translation 4 units right and 2 units up is done followed by a dilation of 3/2.

Transformation

Transformation is the movement of  point from its initial location to a new location. Types are rotation, translation, reflection and dilation

Translation is the movement of point up, down, left or right. Dilation is the increase or decrease in the size.

To map circle B onto circle A, first a translation 4 units right and 2 units up is done followed by a dilation of 3/2.

Find out more on Transformation at: https://brainly.com/question/1462871

Answer: All 3 Parts

Part A :

Part B : A translation 4 units right and 2 units up is done followed by a dilation of 3/2

Part C : the two circles are equation congruent

Step-by-step explanation:

Three trigonometric functions for a given angle are shown below. Sine theta = Negative StartFraction 77 Over 85 EndFraction, cosine theta = StartFraction 36 Over 85 EndFraction, tangent theta = Negative StartFraction 77 Over 36 EndFraction What are the coordinates of point (x, y) on the terminal ray of angle mc020-2. Jpg, assuming that the values above were not simplified? (–77, –36) (–77, 36) (–36, 77) (36, –77).

Answers

Trigonometric functions are the ratio of the different sides of a right-angled triangle. We can say that the coordinates of the point are (-77, 36).

What are trigonometric functions?

Trigonometric functions are the ratio of the different sides of a right-angled triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

Given to us

[tex]Sin(\theta) = \dfrac{-77}{85}[/tex]

[tex]Cos(\theta) = \dfrac{36}{85}[/tex]

[tex]Tan(\theta) = \dfrac{-77}{36}[/tex]

As we know that the Tangent(Tan) is the ratio of perpendicular and base. therefore, we can write the function as,

[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base} = \dfrac{-77}{36}[/tex]

therefore, the length of the perpendicular is 77, while the length of the base is 36.

As given to us that the value of sin is negative, therefore, the perpendicular will be on the negative side of the y-axis. While the value of cos is positive, therefore, the base will be on the positive side of the x-axis.

Thus, we can say that the coordinates of the point are (-77, 36).

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

Answer:

B

Step-by-step explanation: just did it gang 100%

Find twe positive even consecutive intecers such
that the square of the smaller integer is 10 more
than the larger integer.

Answers

Answer:

The numbers are 4 and 6

Step-by-step explanation:

Let:

x - the smaller even consecutive integer   x+2 - the larger even consecutive integer

we know that

[tex]x^{2} =(x+2)+10[/tex]

solve for x

[tex]x^{2} -x-12=0[/tex]

We can use the quadratic formula for quadratics in the form [tex]ax^{2} +bx+c=0[/tex]

[tex]x= \frac{-b(+/-)\sqrt{b^{2} -4ac}}{2a}[/tex]

to give us an answer of 4 and -3

Since the question states positive and even we use 4 and that gives us 6 as the other answer
4 and 6

Answer:

4 and 6

Step-by-step explanation:

x = smaller integer

x+2 = larger integer

x² = 10 + (x + 2)

x² = x + 12

x² - x - 12 = 0

factors are:

(x-4)(x+3) = 0

x-4=0;  x = 4

x+3=0;  x = -3

Since the question states the numbers are even and positive we use only the 4 and the next consecutive even integer is 6

Tell whether the angles are adjacent or vertical. Then find the value of x.



The angles are


Question 2
x = ?

Answers

Answer:

x=20

Step-by-step explanation:

These these angles are adjacent

because they share a vertex and side. They also form a linear pair meaning they add up to 180 degrees...

x+20+7x=180

Combine like terms

8x+20=180

Subtract 20 from both sides

8x=160

Divide both sides by 8

x=20

For what value of x the rational expression 1/3x-6​ is undefined?

Answers

Answer:

2

Step-by-step explanation:

A fraction is undefined when the denominator is 0 because division by 0 is undefined.

When x=2, we have 3x-6=0 and the denominator is undefined.

Please help me with this ​

Answers

Answer:

42.9

Step-by-step explanation:

Something tells me that you want it as fast as possible, but if you need an explanation just ask!

Good luck!

[:

Answer:

58.57 approximately 58.6

Step-by-step explanation:

we've been given the value for line MN as 67.2m and also line AN as 32m so we look for line MA by saying 67.2 minus 32m to give 35.2m

considering the big triangle we have line MN and we have line MP but we don't have line NP to get line NP we use pythagoras theorem

hypotenuse Square = opposite Square + adjacent Square

81.9*2= 67.2*2 + x*2

therefore x is 46.8m

note that line NP is equal to line AB therefore line AB is also 46.8m

so we now look at the smaller triangle to find x

that's also pythagoras theorem

hypotenuse Square = opposite Square + adjacent Square

x^2 = 38.5^2 + 46.8^2

therefore our value for x is 58.6

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