The length of a rectangle is 5times
the breadth, if the perimeter of a
rectangle is 72cm find the area.

Given

[tex] \text{Length of the tree= 25 feet} \\ \text{Angle of Elevation= 30°}[/tex]

[tex] \text{Height Of The Tree}[/tex]

[tex] \text{Let The Height of the Tree be ‘x’}[/tex]

We Know:-

[tex] \tan\theta = \frac{ \text{perpendicular}}{ \text{base} }[/tex]

[tex] \tan \theta = \frac{ \text{height of the tree}}{ \text{length of the base}} \\ \\ \implies \tan30 = \frac{ \text{x}}{25} \\ \\ \implies \text{x }= 25 \times \tan30 \\ \\ \implies \text{x }= 25 \times 0.577 \\ \\ \implies \text{x} = 14.425 \\ \\ \implies \text{x} = 14.43[/tex]

[tex] \therefore \text{height of the tree(\text{x})} = \red{14.43 \: \text{feet}}[/tex]

Option C is the correct answer

Using the relation between velocity, distance and time, it is found that the expression for the total time is given by:

[tex]t = \frac{9}{2x}[/tex]

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex].

Denise bikes 3 miles to her friend's house, hence:

[tex]v_1 = \frac{3}{t_1}[/tex]

[tex]t_1 = \frac{3}{v_1}[/tex]

The average rate biking to her friend's house is twice the average rate coming home, hence, on the return, [tex]v_2 = 0.5v_1[/tex]:

[tex]v_2 = \frac{3}{t_2}[/tex]

[tex]t_2 = \frac{3}{v_2}[/tex]

[tex]t_2 = \frac{3}{0.5v_1}[/tex]

[tex]t_2 = \frac{6}{v_1}[/tex]

The total time is given by, considering [tex]v_1 = 2v_2 = 2v = 2x[/tex], as we want to consider x the rate coming home:

[tex]t = t_1 + t_2[/tex]

[tex]t = \frac{3}{2x} + \frac{6}{2x}[/tex]

[tex]t = \frac{9}{2x}[/tex]

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Answer:

she will pay 614.14 because 523 + 18% = 6.14.14

Step-by-step explanation:

Hope this helps!!

Answer: 25

Step-by-step explanation: Add all of the marbles, which is 20 in total, it is 5/20, so the ratio is 5:20

5:20 is 10:40, 15:60, 20:80, and 25:100

The answer is correct because 5:20 is 25% and 25/100 is also 25%

Answer:

using π as 3.14: 20165.08 cubic inches

in terms of π: 6422π cubic inches

Step-by-step explanation:

» Concepts

The volume of a cylinder is how much space the cylinder can take inside of it. The formula to find this volume is πr²h, where r = radius and h = height. In addition, it's important to know that the radius is half the diameter.

» Application

We're given the radius as 13 inches (26/2 = 13), and the height is 38 inches. Now, we just have to plug in the values and simplify.

» Solution

Using π as 3.14:

In terms of π:

Answer:

don't understand

what do u mean

The probability of getting the green apple is 7/20 option (B) 7/20 is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

P(red) = 2/5

P(yellow) = 1/4

The sum of the probability of the event is 1.

P(red) + P(yellow) + P(green) = 1

2/5 + 1/4 + P(green) = 1

P(green) = 1 - (2/5 + 1/4)

P(green) = 7/20

Thus, the probability of getting the green apple is 7/20 option (B) 7/20 is correct.

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Answer:

2/3

Step-by-step explanation:

3 + 7 + 4 = 14

14 + 7 = 21

14/21 = 2/3

Answer:

Step-by-step explanation:

Subtract:

-6x-3 from 2x-5

2x - 5 -(-6x - 3) =

2x - 5 + 6x + 3 =

8x -2

Answer:

89%

Step-by-step explanation:

500-55=445

445/500=0.89

0.89x100=89

$500- $55= $445

445/500 = 89/100

89/100 × 100/1= 89%

Answer: 89%

Answer:

5 times the quotient of 3  ----> 5*(x/3)

a number look like ​------> 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, ....., 10000, ......, 10000000, ............

Answer:

9, if you round to 2 Decimal Places.

(C = 18π = 18 × π = 56.54 (2 DP))

r = C ÷ 2π

   = 56.54 ÷ 2 × π ≈ 9

Answer:

Box 2

Step-by-step explanation:

Box 1: 2x3x2=4x3=12

Box 2: 2x3x1=6x1=6

Box 3: 2x3x4=6x4=24

The midline of the given graphed function for the y-coordinate is equal to y = 0.

The midline of a set of functions, you need to determine the average of their highest and lowest points.

For the functions represented in the graph,

y = 0.5.

The highest point is 0.5 for the graph.

y = -0.5

The lowest point is-0.5.

The midline of the set of functions is the average of their highest and lowest points.

Midline represented by a horizontal line.

Midline is the line that exactly passes through the midpoint of the highest and the lowest point.

Here on y-axis we have ,

Highest coordinate = 0.5

Lowest coordinate = -0.5

Midline point = ( highest point + lowest point ) / 2

Substitute the value we get,

⇒midline point = ( 0.5 + (-0.5))/ 2

⇒midline point = 0 /2

⇒midline point = 0

Therefore, the midline of the function of the graph is y = 0.

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

Explanation:

3/6 = 1/2 of the numbers on the cube are even (2,4,6)

If we wanted both cubes to show an even number, then this comes up (1/2)*(1/2) = 1/4 of the time.

There are 6*6 = 36 outcomes total, so there are (1/4)*36 = 9 outcomes when both dice show an even number.

---------

Those nine outcomes are listed below

You probably have noticed that A has 3 choices (2,4,6) and so does B. That gives 3*3 = 9 outcomes total. This is an alternative pathway compared to the previous section.

Answer:

0.48.

Step-by-step explanation:

There are 2 ways that a tail lands once:-

Tail + head or

head + tail.

Prob(Tail on one throw) = 0.4

Prob(Head on one throw) = 1 - 0.4 = 0.6.

Prob(Tail first then head) = 0.4 * 0.6 = 0.24

Head then tail has the same probability (0.6*0.4).

So the requred probability = 0.24 + 0.24

= 0.48.

Step-by-step explanation:

[tex] = ( - 4s + 9) + (4s - 6)[/tex]

[tex] = - 4s + 9 + 4s - 6[/tex]

[tex] = - 4s + 4s +9 - 6[/tex]

Now subtract.....

[tex] = \boxed{\sf{3}}[/tex]

hence the answer is 3 ....

hope it helped !!!!

Write a factor that you can use to rationalize the denominator of √2/√5−8.

Answer: √5+8

Answer:

42.29

Step-by-step explanation:

a^2+b^2=c^2

5^2+45^2=c^2

25+1764=c^2

1789 = c^2

sqrt 1789

= 42.29

[tex]\bf (x+y)^2(x-y)^2[/tex]

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

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

[tex]\rightarrow \sf x^4-2x^2y^2+y^4[/tex]

breakdown

[tex]\rightarrow \sf x^4-x^2y^2-x^2y^2+y^4[/tex]

factor common term

[tex]\rightarrow \sf x^2(x^2-y^2)-y^2(x^2-y^2)[/tex]

collect in groups

[tex]\rightarrow \sf (x^2-y^2)(x^2-y^2)[/tex]

apply difference between two square method: x² - y² = (x+ y)(x-y)

[tex]\rightarrow \sf (x+y)(x-y) (x+y)(x-y)[/tex]

simplify

[tex]\rightarrow \sf (x+y)^2(x-y)^2[/tex]

Answer:

I might be wrong but i thik its 1...

If im wrong ill give u 100 points

Step-by-step explanation:

I can't give the exact answer as the base pay and weekly hours arn't stated but here's how to solve letters in parentheses are place holders just plug in the numbers accordingly :)

Step-by-step explanation:

A.

figures needed, base pay (p) total hours worked (t) half

Saturday

p÷2= the ½ in time and a half (x)

p+x= 1 hr Saturday pay (s)

s+2= r (to cover the 30m)

7:00am to 11:30am 4hr 30m

12:00pm to 4:00pm 4hr

add them

8hr 30m

(s×8)+r= how much you were paid on Saturday

Sunday

p×2= h dubble pay

Calculate how many hrs worked on Sunday and apply the same logic as for Saturday appropriately divide the time if it doesn't come out as an even hour.

Final

Add Saturday and Sunday pay together to get weekend pay.

B.

Same formula hours worked times hourly pay.

Add the weekday and weekend pay together and thats pt B.

Hope this helps!

Answer:

Step-by-step explanation:

im pretty sure its 16 or 17,

Answer:

[tex]12+x+4=16+x[/tex]

Step-by-step explanation:

Answer:

  27

Step-by-step explanation:

Numbers can be converted to base 10 by writing them in expanded form.

__

102₅ = 1×5² +0×5 +2×1

  = 25 +2

  = 27₁₀

Answer:

? anything else or..

Step-by-step explanation: