In triangle JKL, JKL is a right angle, KM and is an altitude. JL=20 and ML=15, find KL

The total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

In first swing = 10 m

In second swing = (9/10)10 m = 9 m

In the second swing = (9/10)9 =81/10

10, 9, 81/10,..

This is the geometric sequence with the first term being 10 and the common ratio being 9/10.

a = 10

r = 9/10

The sum of geometric sequence up to 25th terms:

S = a(1 - rⁿ)/(1 - r)

S = 10(1 - (9/10)²⁵)/(1 - 9/10)

S = 92.82 m

Thus, the total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

Learn more about the sequence here:

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Answer:

- 6/5

Step-by-step explanation:

To find the slope

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

   = ( -5-1)/(2- -3)

   = (-5-1)/(2+3)

  - 6/5

Answer:

-6/5 or -1 1/5

Step-by-step explanation:

The formula to find the slope with any 2 points of a line is rise/run, or

(y2-y1)/(x2-x1)

In this case, y2 is -5, y1 is 1, x1 is -3, and x2 is 2.

So, the slope is:

(-5-1)/(2-(-3))

-6/5 which, as a mixed number, is -1 1/5.

You can also graph out the points on a coordinate plane, draw the line between the points, and count the rise/run, but that might take a minute or two, which is not the best if you have a timed test.

Answer:

-17

Step-by-step explanation:

x - (-z)

Subtracting a negative is like adding

x+z

x = -4 and z = -13

-4 + -13

-17

Answer:

[tex]-17[/tex]

Step-by-step explanation:

Step 1:  Evaluate the expression

[tex]x - (-z)[/tex]

[tex]-4 - (-(-13))[/tex]

[tex]-4 - (13)[/tex]

[tex]-4 - 13[/tex]

[tex]-17[/tex]

Answer:  [tex]-17[/tex]

[tex]\sf \: The \: formula \: for \: finding \: the \: volume \: of \: a \: cube \: is \hookrightarrow \boxed{ \underline{ \bf{E}^{3} }} \\ \\ \sf \: The \: volume \: of \: the \: cube \: can \: be \: found \: by \: \\ \sf \: multiplying \: the \: edge \: length \: three \: times. \: For \: instance, \: \\ \sf \: if \: the \: length \: of \: an \: edge \: of \: a \: cube \: is \: \bf \: 4, \: \sf t he \: volume \\ \sf \: will \: be \longrightarrow \bf{4}^{3}. [/tex]

Answer:

0

Step-by-step explanation:

(4.5y+9)-(6.2-3.1y)=7.2y+2.8

4.5y+9-6.2+3.1y=7.2y+2.8

4.5y+3.1y+9-6.2=7.2y+2.8

7.6y+2.8=7.2y+2.8

7.6y-7.2y=2.8-2.8

0.4y/0.4=0/0.4

y=0

I hope this helps

Answer:https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/v/scale-drawing-example-2

Step-by-step explanation:

this with help

Answer:

0

Step-by-step explanation:

99

Answer:

1:7

Step-by-step explanation:

The number of possible outcomes is 2*2*2 = 8

The number of ways of getting 3 tails is 1

The odds against - the ratio of the number of ways that an outcome cannot occur compared to in how many ways it can occur.

ways it can occur -1

ways it cannot occur - 8-1 = 7

1:7

Answer:

A = 24 in^2

Step-by-step explanation:

A = 1/2 bh

Let b = 8 and h = 6

A = 1/2 (8)(6)

A = 24 in^2

The area of a triangle is found using the formula bh/2, where b is the base and h is the height. What is the area in square inches of a triangle with a height of 6 inches and a base of 8 inches?

Given Data :

Height = 6 inches

Base = 8 inches

Formula for Area of traingle is :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: \: \: \red{ \underline{ \red{ \overline{ \orange{ \boxed{ \pink{\frak{Area \: of \: Triangle = \frac{1}{2} × Base × Height }}}}}}}}[/tex]

So, putting the values of Base and Height we get

[tex] \leadsto \frak{Area = \frac{1}{2} × 8 \times 6 }[/tex]

[tex] \leadsto \frak{Area = \frac{1}{ \cancel2} × \cancel 8 \times 6 }[/tex]

[tex] \leadsto \frak{Area = 4 \times 6 }[/tex]

[tex] \leadsto \frak{Area = 24 \: {in}^{2} }[/tex]

Hence, the area of the traingle is 24 inches²

Answer:

456ft

Step-by-step explanation:

Answer:

402.75

Step-by-step explanation:

554.75-152 = 402.75

Answer:

C.

Step-by-step explanation:

30% of 5,000 is 1,500.

Answer:

g = -1/2

Step-by-step explanation:

-10(g - 6) = 65

Distribute

-10g +60 = 65

Subtract 60 from each side

-10g+60-60 = 65-60

-10g = 5

Divide by -10

-10g/-10 = 5/-10

g = -1/2

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

[tex]\large\textsf{-10(g - 6) = 65}\\\\\rightarrow\large\textsf{-10g + 60 = 65}\\\\\large\text{SUBTRACT 60 to BOTH SIDES}\\\\\large\textsf{-10g + 60 - 60 = 65 - 60}\\\\\large\text{CANCEL out: 60 - 60 because that gives you 0}\\\\\large\text{KEEP: 65 - 60 because that helps you solve for your g-value}\\\\\large\textsf{65 - 60 = \bf 5}\\\\\large\text{DIVIDE -10 to BOTH SIDES}\\\\\mathsf{\dfrac{-10g}{-10}=\dfrac{5}{-10}}\\\\\large\text{CANCEL out:: }\mathsf{\dfrac{-10}{-10}}\large\text{ because that gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{5}{-10}}\large\text{ because that gives you the g-value answer}\\\\\large\textsf{g = }\mathsf{\dfrac{5}{-10}}\\\\\large\textsf{g =}\mathsf{\dfrac{5\div5}{-10\div5}}\\\\\large\textsf{g = }\mathsf{\bf - \dfrac{1}{2}}\\\\\\\\\boxed{\boxed{\large\textsf{Therefore, your answer is: g = }\mathsf{- \bf \dfrac{1}{2}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

48% decrease

Step-by-step explanation:

Original cost subtract new cost

52-27.04

24.96

Divide by original cost

24.96 / 52

0.48

Change to percent form

48%

48% decrease

Answer:

Yes it is correct

Step-by-step explanation:

Answer:

You're correct!

Subtract 47 from both sides.

j = 55 - 47

Simplify 55 - 47 to 8.

j = 8

Answer: B

Step-by-step explanation:

Answer:

To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph.

Step-by-step explanation:

mark it as brainlist

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

D is the answer I did the math.

Hope this helps!

Answer:

d

Step-by-step explanation:

Answer:

a) x = 11, b) x = 2/5, c) x = 1/2

Step-by-step explanation:

a)

11 x 11 x 11 = 1,331

Therefore, the answer is x = 11

b)

Reduce the fraction by the highest number 64 and 1000 go into. (which is 8)

So it'll turn into [tex]\sqrt[3]{\frac{8}{125} }[/tex]

Then reduce the fraction again, which will leave you with [tex]\frac{2}{5}[/tex]

Therefore, x= 2/5

c)

Reduce the fraction using 27.

That will give you [tex]x^{3} = \frac{1}{8}[/tex]

Then simplify the equation, which will give you [tex]x=\frac{1}{2}[/tex]

Answer:

Slope m = -5

y intercept = 4

so the equation of the line is,

y = -5x+4

Plot two points, (0,4) and (1,-1)

then connect them, I've attached a graph, your graph should look like that

Answered by GAUTHMATH

Answer:

y=-5x+4

Step-by-step explanation:

y=mx+b

the slope is m

the y intercept is b

-5/1= one right and down 5

4 is the starting point on the y-axis (the vertical one)

Answer:

i would say 7

Step-by-step explanation:

Answer:

I want to help but i cant draw graph

Step-by-step explanation:

Answer:

Divide each side by -8

Distribute

Step-by-step explanation:

-8(n + 7) = -88.

Method 1

Divide each side by -8

n+7 = 11

Subtract 7 from each side

n = 4

Method 2

Distribute

-8n-56= -88

Add 56 to each side

-8n = -32

Divide by -8

n=4

Answer:

Distributive property & dividing -8 on both sides.

Step-by-step explanation:

You can begin solving the equation by either using the distributive property or dividing -8 on both sides.

Distributive Property:

[tex]-8(n+7)=-88\\-8n-56=-88\\-8n=-32\\n=4[/tex]

Dividing:

[tex]-8(n+7)=-88\\n+7=11\\n=4[/tex]

Answer:

B

Step-by-step explanation:

We have the following

- 3,210,000

- 420,000

- 1,100,000,000

Now we rearrange the numbers as asked from least to greatest.

- 420,000

- 3,210,000

- 1,100,000,000

Answer:

The 3rd semi-circle equals 31.

Step-by-step explanation:

Since the Pythagorean Theorem states that "The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)," we can find the answer of the 3rd semi-circle by finding the sum of each of the 2 smaller semi-circles and adding them together.

If a=4:

HOW TO FIND THE AREA

A=4*4

A=16

If it's 100:

A=4*100

A=400

Answer:

They are congruent, simple.

Step-by-step explanation: