The base of a ladder is 2.8m placed away from a tree that is 4.5m tall. The end of the ladder touches the top of the tree. Calculate the length of the ladder.

Answer:

B, E

Step-by-step explanation:

Needs a 3:4:5 ratio, or, if it is an isosceles triangle, then n:n:nsqrt(3)

Answer:

That's the right answer

Step-by-step explanation:

Hope to help

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Answer:

ProvideD :

To FinD :

SolutioN :

[tex] \longrightarrow \tt \: a = 1000(1 + \frac{2}{100} )^{4} [/tex]

[tex] \longrightarrow \tt \: a = 1082.43216[/tex]

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The probability of the sample having a mean gas mileage between 27 and 29 miles per gallon will be 0.0116.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

In 2014, new cars had an average fuel efficiency of 27.9 miles per gallon with a standard deviation of 6.8 miles per gallon. a sample of 30 new cars is taken.

Then the probability the sample has a mean gas mileage between 27 and 29 miles per gallon will be

The value of the z-score at x = 27, we have

[tex]z = \dfrac{27 - 27.9}{6.8}\\\\z = -0.13[/tex]

The value of the z-score at x = 29, we have

[tex]z = \dfrac{29 - 27.9}{6.8}\\\\z = 0.16[/tex]

Then the probability will be

[tex]\begin{aligned} P(-0.13 < z < 0.16 ) &= P (z < 0.16) - P(z > -0.13) \\\\&= P (z < 0.16) - [ 1 - P(z < -0.13) ]\\\\&= 0.56425 - (1 -0.44735)\\\\&= 0.0116 \end[/tex]

More about the normal distribution link is given below.

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Answer:

3

Step-by-step explanation:

Find the sum of the data set and divide it by the number of data points in the set:

[tex]\text{Mean}=\frac{2+3+1+4+5+2+3+4+3}{9}=\frac{27}{9}=3[/tex]

Therefore, the mean of the data set is 3

Using it's concept, it is found that the desired probability is given as follows:

B) 0.20.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, out of a total of 165 vehicles, 33 are SUV's with no all wheel drive, hence the probability is given by:

p = 33/165 = 0.2.

Which means that option B is correct.

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Answer:

B) 0.20

Step-by-step explanation:

correct on edge

Answer:

Step-by-step explanation:

Let :

Solving

Solution

Answer:

Step-by-step explanation:

The given information lets us write two equations relating the side lengths.

__

Let L and S represent the lengths of the longer and shorter sides. We are told ...

  S + L + L = 4S . . . . . the perimeter is 4 times the short side length

  L = 4.5 +S

__

Using the second equation to substitute for L in the first equation, we have ...

  S +2(4.5 +S) = 4S

  9 = S . . . . . . . . . . . . . simplify, subtract 3S

  L = 4.5 +S = 13.5

The shortest side is 9 ft; the longer sides are 13.5 ft.

__

Additional comment

The perimeter is 36 ft.

we have three sides, let's look at the two smaller sides first.

check the picture below atop.

if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side?  Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 8 - 3 = 5.  However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle.  So whatever the third side may be, it must be greater than 5.

check the picture below at the bottom

Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 3 + 8 = 11.  However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle.  So whatever the third side may be, it must be less than 11.

so the third side being 11 is a no dice.

Answer:

Step-by-step explant 1 grows more

Step-by-step explanation:

plant 2 only grows one cm a day while plant 2 grows 1.6 cm a daycation:

Answer:

[tex]\sf y=\dfrac{54}{6.75}[/tex]  or  [tex]\sf y=54 \div 6.75[/tex]

(where y is the number of bags made)

Step-by-step explanation:

If Rowan bought a 54 oz bag of jelly beans and divided them into bags that each contained 6.75 oz, to find how many bags were made, divide the total weight of jelly beans by the weight of each bag.

⇒ Number of bags = Total weight ÷ bag weight

                                = 54 ÷ 6.75

                                = 8

Therefore, Rowen made 8 bags.                    

Total weight of jelly beans initially

Each bag contains

So the equation should be

Or

If we solve we get total bags as 8

The area of the rhombus in the simplest radical form is 87 units²

Therefore,

area of the rhombus = ab / 2

where

Therefore,

tan 60 = x / 5

x = 5 tan 60

x = 8.66025403784

x = 8.7 units

area of the rhombus = (8.7 ×2) (5 × 2) / 2 = 17.4 (10) / 2 = 87 units²

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b. and d.

Step-by-step explanation:

the sentence is true

Answer:

  83 m

Step-by-step explanation:

The missing dimension can be found by using the area formula. Fill in the given values, and solve for the remaining unknown value.

__

  A = LW . . . . . area of a rectangle of length L and width W

  3403 m² = L(41 m) . . . . with given values filled in

  L = (3403 m²)/(41 m) = 83 m . . . . . . divide by the coefficient of L

The length of the gym is 83 meters.

Answer:

There is 57 snails after 14 weeks

Step-by-step explanation:

tripling every week means 3x

NOTE: x is defined as the number of weeks

started with 15 snails means at day 0 (x = 0 also known as y intercept)

y = mx + b       m is the slope, b is the y intercept

our equation: y = 3x + 15

y = 3(14) + 15

y = 42 + 15

y = 57

Answer:

x=48

Step-by-step explanation:

(x-10)÷2=19

x-10 =19

2

(x-10)×2 =19×2

2

x-10=19×2

x-10=38

x=38+10

x=48

No

[tex] \frac{5}{10} = \frac{5 \times 1}{5 \times 2} = \frac{1}{2} \\ [/tex]

I will help u so fast, first

you help me

can u answer this

some fanicial and environmental damages that have been made by cars.

please help me

this is exam

teacher giving us 10 minutes to discuss about and I am in washroom of school writing this

Answer:

6/7

Step-by-step explanation:

all fractions have a common denominator which allows us to add all numerators and maintain the same denominator. 2+3+1=6, and put it back over 7. so 6/7.

Answer:

the value of the expression will be 15.

Step-by-step explanation:

equation giver : 2x/6y

value of x given: 15

value of y given: 1/3

on putting the values in the equation,

2×15 / 6×1/3

= 30 / 6/3

on simplification,

= 30/2

= 15

therefore, the value of the expression will be 15

Answer:

3.9075x10^5

Step-by-step explanation:

Hope this helps! ;-)

Answer:

11/64

Step-by-step explanation:

Each question can be answered in 2 ways

∴ Total ways in which 10 questions can be answered

=2¹⁰

No. of ways of guessing at least 7 questions

out of 10

=7 questions correct +8 questions correct

+9 questions correct +10 questions correct

= ¹⁰C7(1)⁷+ ¹⁰C8(1)⁸+ ¹⁰C9(1)⁹+ ¹⁰C10(1)¹⁰

= 120 + 45 + 10 +1

=176

..Required Probability =176/2¹⁰

.. =11×16/2¹⁰

=11/64

Using translation concepts, it is found that graph D represents the function f(x) = tan(x + 1).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The function f(x) = tan(x + 1) is a translation of one unit to the left of g(x) = tan(x), which has g(0) = 0, hence at the translated function g(-1) = 0, which means that graph D represents the function f(x).

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Answer:

The median is also known as the middle of the data set when it has already been sorted.  So the first thing that we need to do is make sure that our data set is fully sorted.

[tex]19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33[/tex]

Now that we have our data set sorted, we can located the middle.  Since this data set has 11 numbers that means number 6 is going to be our median.  Counting from the left we get that our median is 24.

Hope this helps!  Let me know if you have any questions

Answer: The answer is 24.

Step-by-step explanation: To find the median, you put all your data in order from least to greatest, which would look like:

19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33

Then, cross out the numbers from front to back until you find your middle number.

19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33

This leaves 24 left, which is the answer!

Answer:

Step-by-step explanation:

hope this will help you

Answer:

2.44 units

Explanation:

[tex]\sf Arc \ Length = \dfrac{\theta}{360} * 2\pi r[/tex]

Here given:

Solve for AB:

[tex]\rightarrow \sf \dfrac{40}{360} *2(3.14)(3.5)[/tex]

[tex]\rightarrow \sf 2.4422...[/tex]

[tex]\rightarrow \sf 2.44 \quad (rounded \ to \ two \ decimal \ places)[/tex]

Answer:

y=2(x-2) +2

Step-by-step explanation:

Answer:

y = -2

x = 5

Step-by-step explanation:

3x - y = 17

-x + y = -7

here we can find the sum of the two equations

2x = 10

x = 5

now we can just plug in the value of x to find y

-(5) + y = -7

y = -2