An isolates right triangle has a hypotenuse of 6. Find the length of the leg. Round to the nearest tenth.

Answers

Answer 1
Hypotenuse of the ∆ = 6Given that it is an isosceles right triangle.So, its opposite sides will be equal.Therefore, the height of the ∆ = the length of the leg of the ∆Let the length of the leg be x.In the right triangle,[tex] {x}^{2} + {x}^{2} = {6}^{2} \: \: \: (by \: \: pythagoras \: \: \: theorem) \\ = > {2x}^{2} = 36 \\ = > {x}^{2} = \frac{36}{2} \\ = > {x}^{2} = 18 \\ = > x = \sqrt{18} \\ = > x = \sqrt{2 \times 3 \times 3} \\ = > x = 3 \sqrt{2 } \\ = > x = 4 .2[/tex]

Answer:

The length of the leg is 4.2 units.

Hope you could get an idea from it.

Doubt clarification - use comment section.


Related Questions

solve the literal equation a + 4b = 5b - 3a for a

Answers

Simplifying
a + 4b = 5b + -3a

Reorder the terms:
a + 4b = -3a + 5b

Solving
a + 4b = -3a + 5b

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '3a' to each side of the equation.
a + 3a + 4b = -3a + 3a + 5b

Combine like terms: a + 3a = 4a
4a + 4b = -3a + 3a + 5b

Combine like terms: -3a + 3a = 0
4a + 4b = 0 + 5b
4a + 4b = 5b

Add '-4b' to each side of the equation.
4a + 4b + -4b = 5b + -4b

Combine like terms: 4b + -4b = 0
4a + 0 = 5b + -4b
4a = 5b + -4b

Combine like terms: 5b + -4b = 1b
4a = 1b

Divide each side by '4'.
a = 0.25b

Simplifying
a = 0.25b

1/4% of what is 7? what is the answer please


Answers

Answer:

7/4

Step-by-step explanation:

Answer:

1/4% of 1 3/4 = 7 or you could say 1/4% of 1.75 = 7

7.
V= lwh for w
What’s the explanation

Answers

Answer:

w=[tex]\frac{V}{lh}[/tex]

Step-by-step explanation:

just divide lh from both sides

Does anyone know how to solve this:
22 - 6x > 4

Answers

Answer:

x<3

Step-by-step explanation:

22-6x > 4

solve like a regular equation for x

subtract 22 on both sides

-6x>-18

divide -6

x>3

and since 6 is negative you switch the sign

so

x<3

Find the distance between two points in the simplest radical form

Answers

The 2 points marked on the graph are :-

(2, 3) & (-7, -4)

Here,

=》x₁ = 2

=》y₁ = 3

=》x₂ = -7

=》y₂ = -4

Using distance formula....

√(x₂ - x₁)² + (y₂ - y₁)²

= √(-7 - 2)² + (-4 - 3)²

= √(-9)² + (-7)²

= √81 + 49

= √130 (in radical form)

= 11.4 (approx......in standard form)

♧ The distance between the 2 points is √130 units.

______

Hope it helps ⚜

If 6 cm represents 2100 meters, how much actual distance does each 1 cm represent?

Answers

Answer:

1 cm = 350 meters

Step-by-step explanation:

2100/6 = 350

Find 3 ordered pairs for each equation

Y= 5x+1

Y=10 - x

Y= 2x

Answers

1. (0,1) , (1,6) , (2,11)

2. (0,10) , (1,9) , (2,8)

3. (0,0) , (1,2) , (2,4)

hope this helps.

Find the equation of the line given the following

Answers

Answer:

1. y = -10x + 6

2. y = -x - 6

3. y = 13x + 110

4. y = -5x + 47

5. y = 7/4 x -7

Step-by-step explanation:

2. m = - 1 and Y-intercept: -20 - (- 1)(14) = -6

3. m = 13 and Y-intercept: -7 - (13)(- 9) = 110

4. (10,-3) and (7,12)

Slope = (12 - - 3)(7- 10) = 15/-3 = -5

y- intercept = 12 - (-5)(7) = 47

5. (4,0) and (0, -7)

Slope: (-7-0)/(0-4) = -7/-4 = 7/4

y-intercept: -7 - 7/4)(0) = -7

If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:

cs + rh = w
where c is your commission rate, s is your total sales in dollars, r is your hourly rate, and h is your hours worked.

Solve for s to rewrite the equation for total sales.

Question 1 options:

s = c(w + rh)

s = c(w − rh)

s = w + rh/c

s = w − rh/c

Answers

The value of "s" as a function of other  variables is s =  (w - rh)/c

If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:

cs + rh = w

We will make "s" the subject of the formula:

Subtract rh from both sides

cs + rh - rh = w - rh

cs = w - rh

Divide both sides by c

cs/c = (w - rh)/c

s =  (w - rh)/c

Hence the value of "s" as a function of other  variables is s =  (w - rh)/c

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can someone please help me with this one question! ​

Answers

Answer:

RST≈TSR FOR YOU PLAESE RANK ME HELPING HAND

what is 2.4g-2.4g-9.8g

Answers

Answer:

2.4g-2.4g-9.8g "-9.8 grams".

Step-by-step explanation:

You just have to subtract the masses.

Hope this helps :)

Give the slope of each of the following lines Name a point on each line
y+2=2/3 (x-4)

Answers

Answer:

See answer below

Step-by-step explanation:

y + 2 = 2/3(x - 4)

y + 2 = 2/3x - 8/3

y = 2/3x - 8/3 - 2

y = 2/3x - 2 2/3 - 2

y = 2/3x - 4 2/3  or y = 2/3x - 14/3  

Slope = 2/3  

The value of the slope of the line is 2/3.

Used the concept of the equation that states,

The equation of a line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Given that;

The equation of the line,

y + 2 = 2/3 (x - 4)

Now comparing the given equation of the line with the equation of a line in point-slope form,

y + 2 = 2/3 (x - 4)

y - (- 2) = 2/3 (x - 4)

Therefore, the slope of the line is 2/3

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-3(p+2) when p=6
Anybody

Answers

Answer:

-24

Step-by-step explanation:

-3(p+2)

-3 ( 6+2 )

-3(8)

-24

Which number(s) is/are greater than 125%?
-1.26
0.125
12/5
8/6
Pick 2

Answers

12/5 12/5. 12/5 hdhfhd y hh

Joshua borrowed $1000 from his friend and paid him back $1050 in six months. What simple annual interest did Joshua pay his friend?

Answers

Answer:

80 dollars is the correct answer

Answer:

Step-by-step explanation:

1050=1000(1+.5*i)

i= 10%

HELP!!!!! FAST!!!!! !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

37

Step-by-step explanation:

I don't know if this is totally correct

No. of pies donated by the cafeteria⇢9No. of pieces all the pies were cut into⇢8No. of pies that were baked in total⇢ x

ATQ,

★⤿ 8(x+9) ≥ 224

★⤿ x+9 ≥ 224/8

★⤿ x +9 ≥ 28

★⤿ x ≥ 28-9

★⤿ x ≥ 19

Hence , option A is correct ✓

Jaya wants to make a vegetable garden in her backyard for 6 different vegetables. She makes 6 sections in the garden. The dimensions of the garden are 3 sections long by 2 sections wide. Each section is in the shape of a square. The area of the vegetable garden is 91.26 square feet. What is the length of the vegetable garden?

Answers

The length of the vegetable garden is 11.7 ft.

The dimension of the garden are 3 section long and 2 section wide.

let

each section length = x

Therefore,

length of garden = 3x

width of garden = 2x

Area of the vegetable garden = 91.26 ft²

3x(2x) = 91.26 ft²

6x² = 91.26

x² = 91.26 / 6

x² = 15.21

x = √15.21

x = 3.9

length of the vegetable garden = 3(3.9) = 11.7 ft

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mrs. piggiewinkle knows how to use texting, instant messenger, emailing, calling, and mailing letters to communicate with her students. she must select 2 methods of communication out of the 5 to send her students an important message. in how many ways can choose the communication methods?

Answers

Answer:

Step-by-step explanation:

She must write an email to the new employees explaining how to access documents that need editing and what to do with new versions of the documents.

Answer: 20 ways

Step-by-step explanation: I believe that you would need to use permutation, so:

5P2 = 20

Help help please last question please correct I’ll give points

Answers

Answer:

First is translation then dialation darlin

Step-by-step explanation:

i say this because of the size of grid

7 Harper ordered 22 shirts for her soccer team. Seventy-five percent of these shirts were saa samall. How many
seal shirts did Harper order?

Answers

Answer:

16.5 shirts were small.

Step-by-step explanation:

0.75 x 22 = 16.5

You are asked to prepare 900mls of 3% sucrose. How much sucrose do you need?

Answers

Answer:

27g of sucrose

Step-by-step explanation:

You would need 3g of sucrose per ever 100ml and you have 900ml therefore 27g

After watching some fish 55 feet below the surface of the water, a scuba diver went up 25 feet to explore a coral reef. Use a number line to help you create an equation that shows the location of the coral reef in relation to the water's surface.︎︎︎︎︎︎︎ ︎︎︎︎​

It might be A
I really dont know lol

Answers

Answer:

The answer is C.

Step-by-step explanation:

Consider 5 1/2 as 5.5 to make it less confusing. Now, subtract 8 from 5.5.

5.5 - 8

=> -2.5

Now, let's turn -2.5 back in fraction form.

=> -2 1/2

Therefore, C is the answer

Grace collected 7 2/3 bins of glass bottles to recycle. Kenneth collected 7 5/6 times as many
bins as Grace. How many bins of bottles did Kenneth collect?

Answers

Answer:

Kenneth collected 60 bins of bottles.


Solution:

(7 2/5) * (7 5/6) = 60.05


A rectangular tank is 54cm long, 29cm wide and 65cm deep. ​

Answers

Answer:

so what do i do

Step-by-step explanation:????????????

1
2
3
4
5
6
7
8
9
10
Which graph shows a set of ordered pairs that represent a function?
oly
4
4
3
3
3
.
.2
.
2
.
2
1+
1
-5 -4 -3 -2 -11
1 2 3 4 5
-5-4-3-2-1
213
45
x
-5-4-3-2-11
1
2 3
5
-2
42
3
o
3
4
.
14
.
45
O
5
4
3
2
1
-54-3-2-11
2
4
5
X

Answers

3rd graph, far right on top

Step-by-step explanation:

Use the vertical line test to determine (one input for x cannot have two outputs of y)

Assignments
In a lottery, the top cash prize was $633 million, going to three lucky winners. Players pick four different numbers from 1 to 52 and one number from 1 to 41
A player wins a minimum award of $400 by correctly matching two numbers drawn from the white balls (1 through 52) and matching the number on the gold ball (1
through 41). What is the probability of winning the minimum award?
Study Plan
Gradebook
The probability of winning the minimum award is
(Type an integer or a simplified fraction

Answers

The probability of winning the minimum award is very small, approximately 1 in 185 million.

To calculate the probability of winning the minimum award, we need to determine the number of possible outcomes and the number of favorable outcomes.

To win the minimum award, the player needs to match two of the white ball numbers and the gold ball number.

There are (4 choose 2) ways to choose two of the four white ball numbers, and there is only one way to choose the gold ball number. Therefore, the number of favorable outcomes is (4 choose 2) × 1.

So, the probability of winning the minimum award is:

(favorable outcomes) / (total outcomes)

= [(4 choose 2) × 1] / [(52 choose 4) × 41]

= (6 × 1) / (26,827,440 × 41)

= 6 / 1,100,701,040

≈ 0.0000000054 or 5.4 × 10⁻⁹

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350 items have donated to the community food pantry and 35 of the items are jars of peanut butter. What percent of the donated items are jars of peanut butter?

Answers

Answer:

The answer is 25% donated peanut butter

Step-by-step explanation: Easy

VERY EASY IF YOU TYPE RIGHT AWSNER I WILL MARK AS BRAINLISt 5th grade super easy

Answers

Answer: 2

Step-by-step explanation:

2/7 + 13/14 = 1 3/14

4/14+13/14 = 17/14

2
because it’s common sense

describe these sets June July january​

Answers

Answer:

Months that start with the letter "J"

Step-by-step explanation:

5) Mike and Mei each improved their yards by planting daylilies and shrubs. They bought their
supplies from the same store. Mike spent $70 on 5 daylilies and 5 shrubs. Mei spent $62 on 1
daylily and 5 shrubs. Find the cost of one daylily and the cost of one shrub.

Answers

1 shrub cost $12
1 daylily cost $2

1 D: $2
5 S: $60
60+2= 62

5*2=10
5*12=60
60+10=70

hope this helps :)
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