Find the length of side a.

Find The Length Of Side A.

Answers

Answer 1

Answer:

C. 5

Step-by-step explanation:

Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.

Remember, the Pythagorean Theorem is:

a² + b² = c²

where a and b are the legs of the right triangle and c is the hypotenuse.

As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:

a² + 12² = 13²

Now we solve for a.

a² + 144 = 169

Subtract 144 from both sides.

a² = 169 - 144

a² = 25

Take the square root of both sides.

a = √25

a = 5

So the length of side a would be 5.

The answer would be C. 5.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer 2

Answer: C. 5

Step-by-step explanation:

We'll use the Pythagorean Theorem to find the missing side.

a^2 + b^2 = c^2

a^2 + 12^2 = 13^2

a^2 +  144 = 169

a^2 = 25

(simplify)

[tex]a^2 = \sqrt{25}[/tex]

a = 5


Related Questions

find the value of angel 0 to the nearest 10th

Answers

Answer: 36.9

Step-by-step explanation:

For this question you have to find out whether you are using Sin, Cos or Tan.

To work out which one you are using you can use SOH CAH TOA to help you.

SOH- The 'S' is for Sin, the 'O' and the 'H' is for Opposite over Hypotenuse.

CAH- The 'C' is for Cos and the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA- The 'T' is for Tan, the 'O' and the 'A is for Opposite over Adjacent.

As you have the Opposite (the side opposite the angle we're looking for) and the Adjacent (the side next to the angle were looking for) we would be using Tan.

So first you would have to write:

Tanθ=3/4

Then because we want Theta (θ) on it's own we would have to do the inverse to 'undo' the equation. Tan-1 is the inverse of Tan.

θ=Tan-1 3/4

To find the answer you would have to put it in your calculator.

θ=36.9

Hope this helps :)

2
Help what is the product of 46x10

Answers

Answer:

460

Step-by-step explanation:

Answer:

460

Step-by-step explanation:

does 13, 12, 6 form a pythagorean triple?

Answers

Answer:

No

Step-by-step explanation:

the pythagorean theorem is

a^2+b^2=c^2

These numbers do not fit in these terms

Answer:

It doesn't.

Step-by-step explanation:

In order for something to be a {ythagorean triple, it must comply with the Pythagorean theorem, which is a² + b² = c²

Always remember, when plugging in the values into that equation, the exponent of two means to square the number, and a and b have to be the two smallest values (in this case, 6 and 12)

6² = 36

12² = 144

36 + 144 = 180

Now, we have to find if ti equals c². 13² equals 169

Therefore, 180 ≠ 169, therefore it IS NOT a Pythagorean triple.

You buy a car for $25000. It lose 14% of its value every year. Sally wrote a function that represents the value of the car after t years. V(t)=25000(1.14)t Describe and correct the error

Answers

Answer:

Correct answer

V(t) = 25000(0.86) t

Step-by-step explanation:

You wont turn 14% into a multiplier (1.14 - multiplier) becuase the value decreases not increases so you do 100% - 14% to get 86% and divide by 100 to get 0.86...that's the value that goes in the brackets

2. If the hovercraft is traveling in a straight line at a constant speed of 8 m/s for 4 seconds, what is it's
acceleration?

Answers

Answer:

Step-by-step explanation:

a= v/t, where v is the speed and t is the time

a=8/4= 2 m/s^2

which of the following is a function

Answers

Answer:

This question is incomplete since you did not provide the options needed. Anyway, I will give you an explanation that will be useful for you to understand this.

Step-by-step explanation:

Understanding what a function is will allow you to have more clarity when solving the functions exercises and you will be prepared to understand more concepts that surround functions such as domain, image, relative extremes, their representation on the axes, etc.

A function is a relationship between two variables, one independent (x) and the other dependent (y) and for each value of x there corresponds ONE SINGLE VALUE OF y.

For example :

f(x) = 3x2 + 1

1.) If ABCD is a parallelogram, which statement is true?
(1) AC = BD
(2) AD=BC
(3) ZA and ZC are supplementary
(4) ZA ZD

Answers

Answer:

think its two cuz i found a shape that matches ur questions

Can someone check my answers to see if they are correct please? They are on the 2nd page. Thank you!

Answers

Answer:

Yes, all your answers are correct.

They are correctly matched with their reasons.

A
∠A and

B
∠B are vertical angles. If m

A
=
(
5
x

24
)

∠A=(5x−24)

and m

B
=
(
3
x
+
24
)

∠B=(3x+24)

, then find the value of x.

Answers

Answer:

24 degrees

Step-by-step explanation:

please PLEASE PLEASE

Answers

14, 21

Step-by-step explanation:

Let the two consecutive multiples be 7n and 7(n+1).

Now, it is given that:

(7n)² + [7(n+1)]² = 637

Simplifying,

49n² + (7n+7)² = 637

49n² + 49n² + 2(7n)(7) + 49 = 637

(as (x+y)² = x² + y² + 2xy)

98n² + 98n + 49 = 637

98n² + 98n - 588 = 0

Dividing by 98 to further simplify,

n² + n - 6 = 0

Factorising, we get

n² + 3n - 2n - 6 = 0

n(n+3) - 2(n+3) = 0

(n+3)(n-2) = 0

Therefore we get n = -3 or n = +2.

Hence, we get the consecutive multiples as 14 and 21.

Feel free to ask if you didn't understand any part.

Hope this helps! :D

Two rectangles are similar. If the helght of the first rectangle is 3 Inches, and the helght of the second rectangle is 9 Inches, how much larger is the second rectangle's area?
1. They have the same area
2. 9 times as large
3. 3 times as large
4. 6 times as large​

Answers

Answer:

3

Step-by-step explanation:

please help marking u Brainiest if answered

Answers

It is the last option !!!!!!!!!!

I need help to find the perimeter of this shape can somebody help me RN.

Answers

i got 13, i hope that’s correct

Given that
[tex]2 {}^{x} = 0.125[/tex]
Find x

Answers

Take the natural log of both sides

ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3

ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative

Answer:

x = -3.

Step-by-step explanation:

2^x = 0.125

Taking logs:

x ln 2 = ln 0.125

x = ln 0.125 / ln 2

x = -3

Fund the value of x! I need this asap!! Please dont get it wrong and first correct answer gets brainliest!!

Answers

Answer:

Step-by-step explanation:

What is the equation???

What is the solution to the equation?

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt[3]{x+4}+\sqrt[3]{2x +8}=0\\\\\sqrt[3]{x+4}= -\sqrt[3]{2x + 8}\\\\(x +4)^{\frac{1}{3}}=-(2x+8)^{\frac{1}{3}}\\\\[/tex]

Take cube,

[tex][(x+4)^{\frac{1}{3}}]^{3} =- [(2x +8)^{\frac{1}{3}}^{3}]\\\\(x+4)^{3*\frac{1}{3}}=-(2x + 8)^{3*\frac{1}{3}}\\\\[/tex]

x + 4 = - (2x + 8)

x +4 = 2x *(-1) + 8 *(-1)

x+ 4 = -2x - 8

x +2x+4 = - 8

3x + 4 = - 8

      3x = - 8 -4

      3x = -12

        x = -12/3

x = -4

1⁄4 + 4⁄8 + 4⁄6 = ???

Answers

17/12 or in mixed number form it would be 1 5/12

☁️ Answer ☁️

Exact form:

17/12

Decimal:

1.416

mixed:

1 5/12

Hope it helps.

Have a nice day hyung/noona  ̄▽ ̄

Simplify the expression.

4x^2 + 10x - 6
———————
2x-1

-X+ 5
X+3
2(x + 3)
2x-6

Answers

Hopes this helps:

Answer: C. 2(x + 3)

What steps do you need to take to solve the equation 7x+6= 18?
*x
Choose the correct answer below.
A. Subtract 6. Then, multiply by 2.
B. Add 6. Then, multiply by 2.
C. Subtract 6. Then, divide by 2.
D. Add 6. Then, divide by 2.

Answers

subtract 6 and then divide by 2
A. Subtract 6. Then, multiple by 2. Is the correct answer.

Which graph represents y as a function of x?

Answers

Answer: A

Explanation: there is never two y values for one x value

Answer:

A is the only function because it passes the vertical line test. 1 x may only have 1 y

Step-by-step explanation:

Suppose Rachel creates 1.5 pounds of trash each week. How many kilograms of trash is that? Choose the closest answer.

Answers

0.68 kilograms
—————————

Answer:

.68

Step-by-step explanation:

find the value of x plz help <3

Answers

61 I believe because you have to subtract 90 ok bye now have a great day!

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

|14-(6-x)| = |14-6+x| = |8+x|

|8+x| = 8+x if x > -8

|8+x| = -x-8 if x < -8

|8+x| = 0 if x= -8

A. 118 degrees
B. 180 degrees
C. 64 degrees
D. 62 degrees

Will you brainliest for the correct answer!!!
Please help!!

Answers

Answer:

62 degrees

Step-by-step explanation:

you need to understand the def.ang.biscectors, it is going to mean if a life bisects another line, the two angles on one side will add up to 180

therefore

180-118=62

Simplify ech answer into a fraction, Show all work please!

Answers

Answer:

the first one is -9/40. the second one is 109/20. the third one is -8/35.

Step-by-step explanation:

here is the work for the first one 3/8-.6 and convert into a simplified fraction and came up with -9/40. here is the work for the second one 4 4/3+0.7 and then convert into a simplified fraction and came up with 109/20. here is the work for the third one 4/7-0.8 and then convert into a simplified fraction and came up with -8/35.

Help a person out would ya...no links

Answers

Answer:

72.25

Step-by-step explanation:

12.5 x 8.5 = 106.25

5 x 6.75 = 33.75

106.25- 33.75 = 72.25

Answer: H

Step-by-step explanation:

You're tryna find the area of the wall

Which is the whole surface area minus the door's area

Whole surface area = 8.5 x 12.5 = 106.25

Door area = 5 x 6.75 = 33.75

106.25-33.75 = 72.5 ft^2

ALSO REMEMBER ITS FEET SQUARED

Units are very important just to let you know especially in physics

If you don't get the units to be same then its going to be one heck of a problem

okay no more ranting hope u like my answer

A hose fills a 10,000-gallon swimming pool at a rate of 10 gallons per minute. what is the domain and range?

Answers

Answer:

Domain: 0 minutes to time it takes to fill. Range: 0 to a 10,000 gallons

Step-by-step explanation:

The domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.

It is given that a hose fills 10000 gallon swimming pool at rate of 10 gallons per minute.

We have to find the domain and range.

What do you mean by domain and range ?

The domain is the set of all values for which the function is defined and the range of the function is the set of all values that function takes.

As per the question ;

Capacity of swimming pool = 10000 gallons

Rate of filling = 10 gallons per minute

So ;

Time taken in filling the swimming pool will be ;

= 10000 / 10

= 1000 minutes

So ;

The domain will be from 0 to 1000 minutes i.e., time taken to fill the swimming pool.

Whereas ;

The range will be from 0 to 10000 gallons i.e., amount of swimming pool filled.

Thus , the domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.

To learn more about domain and ranges click here ;

https://brainly.com/question/26098895

#SPJ2

What statement about the volume of the cylinder and cone is true ?

Answers

Answer:c

Step-by-step explanation:

A cast member is selling balloons on Main Street. He has 8
princess balloons, 5 blue Mickey balloons, and 7 red Mickey
balloons. He sells one balloon, and then another (no replacing).
Find the probability of selling one blue balloon followed by
another blue balloon and show the equation used.

Answers

Answer:

4/76 or simplified as 1/19

Step-by-step explanation:

5/20 is for the probability of the first balloon

4/19 is for the probability of the second balloon

5/20 can be simplified to 1/4 so 1/4 x 4/19 = 4/76

4/76 can also be simplified to 1/19

Factored completely, the expression 2x^2+10x-12 is equivalent to:

Answers

Answer:

(x + 6) (x - 1)

Step-by-step explanation:

2x² + 10x - 12

dividing by 2,

x² + 5x - 6

x² - x + 6x - 6

x(x - 1) + 6(x - 1)

(x + 6) (x - 1)

x = -6 or x = 1

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