The hypotenuse of a right triangle is 8.2 inches long and one of the legs is 6.4 inches long. What is the length of the other leg?

Answers

Answer 1

Answer:

5.1

Step-by-step explanation:

To solve this equation I will use the formula a²+b²=c². For these terms I will represent the missing value as the variable a. The equation should be renewed as this: a²+6.4²=8.2², simplified: a²+40.96=67.24. I will now subtract 40.96 from 67.24 to get "a" by itself, as of which now I have a²=26.28. Next I square root both values: √a² =√26.28. The final answer is "a"= 5.1264022471905, otherwise, when rounded, "5.1". Hopefully this helps. A word of advice, when a problem gives you two values for a triangle, always refer to the equation a²+b²=c², as you will always find the missing value. Also remember that the legs cannot be of greater value than the hypotenuse which is the diagonal line. The hypotenuse is always "c".


Related Questions

tony is making gift bags for his friends. he has 6 bags and places 9 gifts into each bag .how many gifts did he place in the bags

Answers

Answer:

6 x 9 is 54

Step-by-step explanation:

54 bags because, it says each so your multiplying.

Can someone please explain to me how I got this wrong? The other options in the image are the ones under the questions and I'm rlly confused. Could anyone fully explain it please?

Answers

Answer:  [tex]-\frac{p}{8}[/tex]

This is the fraction -p/8

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

Explanation:

When we divide by -16, we're really multiplying by -1/16. Fractions and division are very similar ideas.

So we can say,

[tex]2p \div -16 = 2p \times \frac{-1}{16}\\\\2p \div -16 = \frac{2p}{1} \times \frac{-1}{16}\\\\2p \div -16 = \frac{2p(-1)}{1*16}\\\\2p \div -16 = \frac{-2p}{16}\\\\2p \div -16 = \frac{-2p}{2*8}\\\\2p \div -16 = -\frac{p}{8}\\\\[/tex]

The second to last step has a pair of '2's divide and cancel out.

-------------

Another way to think of it is to consider

[tex]\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}[/tex]

The flip from division to multiplication has us apply the reciprocal of the second fraction. In this problem, we have a = 2p, b = 1, c = -16 and d = 1. The steps will be very similar if not identical to what is shown above.

-10-2r=-3r-7+r how many solutions does this equation have will mark brainlest

Answers

Answer:

no solution

Step-by-step explanation:

Complete the following statement.

24 ft = in.

Answers

Answer:

288

Step-by-step explanation:

1 foot= 12 inches

24x12=288

Answer:288

Step-by-step explanation:24x12=288 hope this helps

Help find domain and range

Answers

the answer is 2 because you plug 2 in 3x
Yo jus use desmos.com. It’s really good for graphing and tells you all the important intersecting points on a graph.

If there are 63 butterflies in 3 gardens, how many butterflies are in 2 gardens?

Answers

Answer:

42

Step-by-step explanation:

63 divided by 3 first because you need to break each group down into equal gardens with the same amount of butterflies.

now you have 21 you need to multiply with the number 2 because you need to know how many butterflies are in two gardens

and now you get 42

PLEASE HELP!! 15 POINTS FOR THE CORRECT ANSWER (NOT POINT D)

Answers

Answer:

I do not see any question and we only get 5 points.

Step-by-step explanation:

Can someone please check to see if I selected the right answer... Please ​

Answers

it’s correct now give me brainliest please

Aaron is bicycling on a bike trail at an average of 10 miles per hour. Jada starts cycling on the same trail 30 minutes later. If Jada averages 16 miles per hour, how long would it take her to pass Aaron?

Answers

Answer:

36 miles per hour

Step-by-step explanation:

36 miles per hour

Suppose there are 28,200,000 small businesses in the economy today. Twenty-five percent of those businesses have no employees. What is the number of businesses in the economy with no employees?

Answers

Answer:

the number of businesses with no employees is 7,050,000

Step-by-step explanation:

The computation of the number of businesses in the economy have no employees is shown below:

Given that

There are a total of 28,200,000

Out of which 25% of those businesses have no employees

So, the number of businesses in the economy is

= 28,200,000 × 25%

= 7,050,000

Hence, the number of businesses with no employees is 7,050,000

Click the picture link below for the problem!
THANKS

Answers

Answer:

2

Step-by-step explanation:

The slope of the line is equal to 2. The slope of a line is rise over run, or change in y over change in x. From one point to another on this line y increases by 2 and x increases by 1, which would be 2/1 or just 2. This slope or any other slope greater than 1 or less than -1 makes the line steeper. Another way to find slope is through the slope formula which is [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex], to use this plug in any two points and solve.

Answer:

The slope is a 2/1 slope.

Step-by-step explanation:

If you look at the slope and pick 2 points, let's say (1,1) and (2,3)

find the difference between the two points by y2-y1/x2-x1

The equation would be 3-1/2-1

The answer to the slope would be 2/1.

Swanton Savings Bank pays 5.5% interest compounded quarterly on a regular savings account. John deposited $4400 in regular savings accounts for 1.5 years. How much interest did he earn?

Answers

Answer:

$375.71

Step-by-step explanation:

Given that:

Rate of interest = 5.5% compounded quarterly

Time = 1.5 years

Principal amount deposited in savings account = 1.5 years

To find:

Interest earned = ?

Solution:

Formula for amount with interest compounding quarterly:

[tex]A = P(1+\dfrac{r}{4\times 100})^{4t}[/tex]

Putting the values:

[tex]A = 4400(1+\dfrac{5.5}{4\times 100})^{4\times 1.5}\\\Rightarrow 4400\times 1.01375^6\\\Rightarrow 4400\times 1.085\\\Rightarrow \$ \bold{4775.71}[/tex]

Interest earned = Amount - Principal

Interest earned = 4775.70 - 4400 = $375.71

I need help with this!!!

Answers

Answer:

1). 23, 8, 5, 10

2). x = 4

3). 18

4). 71

5). 48

6). 68

7). Look at picture

x = 7, y = 12 .... just sub the values of x and y into the appropriate spaces to find the other side lengths

Explanation:

1.

They are congruent triangles, therefore the measurements would be the same

2.

24x - 19 = 16x +13

8x = 32

x = 4

3.

8x - 37 = 5x + 17

3x = 54

x = 18

4.

4x + 19 = 6x - 7

2x = 26

x = 13

MN: 4x + 19

(4*13) + 19

= 71

5.

2x = 14

x = 7

CD: 7x - 1

(7*7) - 1

= 48

6.

3x + 4 = 5x -16

2x = 20

x = 10

JM = 3x + 4

= 34

ML = 34 (congruent triangles have same measurements)

34 + 34 = 68

Which graph represents a proportional relationship?​

Answers

Answer:

honestly i don't think it's either of these

Step-by-step explanation:

a proportional relationship goes through the origin and neither of these do

A full grown German Shepherd weighs about 35 kg on Earth and only 13.3 kg on Mars. How much would a German Shepherd puppy weigh on Earth if it was 1.9 kg on Mars

Answers

Answer:

Step-by-step explanation:5 pounds

35/13.3=2.63. 1.9x2.63=5kg

Which situation could be represented by the equation
15.5 = ?

A. Julie drove 15.5 miles to the grocery store. Her mother drove from the grocery store back home. What is x, the amount
miles each person drove?

B. Julie drove 15.5 miles from her home to the grocery store. Julie drives the same path going back home. What is x, the total
amount of miles traveled to the grocery store and back home?

C. It is 15.5 miles to the grocery store from Julie's home. On the way to the store, she decided to take a detour which
shortened her distance by half a mile. What is x, the new distance to the grocery store including the detour?

D. Julie went to a grocery store 15.5 miles away. Amanda also went to a grocery store 15.5 miles away. The grocery store was
half way in between their houses. What is x, the distance from Julie's home to the grocery store?

ASAP 30 points and brainliest for best answer

Answers

Is this the full question, it seems like there is something missing? If not it seems to be C. A would represent 15.5 miles as a dependent variable, which would not be the total amount. B would represent X as the total amount, not 15.5. Between D and C, C would make the most sense as the equation would be 15.5=X.5 which would fit into your question.

PLEASE HELP WILL GIVE BRAINLIEST!!!!! ASAP
GEOMETRY picture of problem below!!!!

Answers

Answer:

12

Step-by-step explanation:

X x Y =20 So 12 Then 12 - 12 + 12 = 12

NEED HELP STAT, whats 1+1

Answers

Step-by-step explanation:

1+1 is 2 because 1 and 1 will be 2

A student says that if 5x4 = 20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer DIONE​

Answers

Answer:

disagree because x should equal one

x=1

Step-by-step explanation:

5x times 4 =20

divide both sides by 5 times 4

x=1

a company employees 100 people, 65 of whom are men. 60 people, including all the women, are paid weekly. how many of the men are paid weekly

Answers

Answer:

25 men

Step-by-step explanation:

100 - 65 = 35 women

60 - 35 = 25 men

Answer: 25

Step-by-step explanation:

Amount of ppl: 100

Men: 65

Woman: (100-65) =35

People paid (all woman are in this group) 60

Woman paid: 35

Men paid: (60-35) =25

Will give BRAINLIEST if right!
How do I Write the vertex as an ordered pair for f(x) = x^2 + 2x - 3

Answers

Answer:

Vertex is (-1, -9)

Step-by-step explanation:

To find the x-value of the vertex, we use the formula

x

=

b

2

a

(This is considered the axis of symmetry).

a

=

1

and

b

=

2

with

c

=

8

(These are the numbers in order)

By substituting we get

x

=

(

2

)

2

1

, which simplifies to

x

=

1

.

Once you find x, substitute back into the equation to find y.

y

=

(

1

)

2

+

2

(

1

)

8

y

=

1

2

8

y

=

9

Putting the two numbers together you get the coordinates

(

1

,

9

)

.

Two classes are having pizza parties. Ms. Rodriguez’s class decides to order enough so that every 3 students will have 2 pizzas. Mr. Becker’s class decides to order enough so that every 5 students will have 3 pizzas. Complete the following statements. You can enter whole numbers, decimals rounded to the hundredths place, or simplified fractions.


Each student in Ms. Rodriquez’s class will get _____ of a whole pizza.
Each student in Mr. Becker’s class will get _____ of a whole pizza.

Answers

Answer:

2/3

3/5

Step-by-step explanation:

write an expression equivalent to 2a + (3/4a + 1/5b) by combining like terms

Answers

Answer: 2 3/4 a + 1/5 b

Step-by-step explanation:

Add the like terms

The solution of the given expression is equal to 7a/4 + b / 5.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is 2a + (3/4a + 1/5b). The given expression will be solved as below,

E = 2a + (3/4a + 1/5b)

E = 2a + (3/4)a + (1/5)b

E = 7a/4 + b / 5

Therefore, the solution of the given expression is equal to 7a/4 + b / 5.

To know more about expression follow

https://brainly.com/question/723406

#SPJ5

is 6.610
irrational number?

Answers

Answer:

yes

Step-by-step explanation:

An

Step-by-step explanation:

What is the value of x?

Answers

6x+6x+8x=180
20x=180
x=9

I need help with this assignment

Answers

Answer:

1) 3x = 2x + 50

3x - 2x = 50

X= 50

2)6x = 2x + 44

6x - 2x = 44

4x = 44

divide both sides by 4

X = 11

3)8x = 2x + 36

8x - 2x = 36

4x = 36

divide both sides by 4

X = 9

4) 4x = X + 18

4x - X = 18

3x = 18

divide both sides by 3

X= 6

5) 7x + 10 = 3x + 120

collect like terms

7x - 3x = 120 - 10

4x = 110

divide both sides by 4

X = 27.5

6) 20 + 2x = X + 56

collect like terms

2x - X = 56 - 20

X = 36

7) already done

8)12x + 12 = 3x + 84

collect like terms

12x - 3x = 84 - 12

9x = 72

divide both sides by 9

X = 8

9) 3 + 6x = 2x + 27

collect like terms

6x - 2x = 27 - 3

4x = 24

divide both sides by the coefficient of X (4)

X = 6

10) 8x + 2 = 72 + X

collect like terms

8x - X = 72 - 2

7x = 70

divide both sides by the coefficient of X (7)

X = 10

11) 2x + 20 = X + 60

collect like terms

2x - X = 60 - 20

X = 40

12). 4x + 1 = 25 + 2x

collect like terms

4x - 2x = 25 - 1

2x = 24

divide both sides by the coefficient of X (2)

X = 12

I hope this helps

Cami starts with $7 and saves $13 each week.
Maggie starts with $11 and saves $13 each week. After how many weeks will Cami and Margaret have the same amount of
money?

Answers

Answer:

No matter how many weeks pass, they will never have the same amount of money. This is because their rate of change is the same. If Cami made more money per week than Maggie, then she would eventually be able to catch up and have the same amount of money as Maggie.

Which equation or inequality represents the following description?

Multiply the quantity 2 more than a number by 8. The result is at least 12 times the number subtracted from 76.

A. 8(2n) 76-12n
D. 8(2n)=76-12n

Answers

Answer:

D

Step-by-step explanation:

I’ve been working on the same problem for 1 hour and d just makes the most sense

I will give brailiest to whoever needs it!

Answers

Answer:

me please

Step-by-step explanation:

Answer:

idc if i get it

Step-by-step explanation:

1) 23= -7 - 4m + 9 + m​

Answers

Answer:m = -7Hope this helps!!

m will be equal to -7
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