For the following right triangle, find the side length x.
12
16
х

Answers

Answer 1

Answer:

20

Step-by-step explanation:

which side is x ? the Hypotenuse - the side opposite of the 90 degree angle ? or is it one side touching the 90 degree angle ?

that is important. we need to know which side is the Hypotenuse to make the right calculations.

if I assume x is the Hypotenuse, then the calculation follows Pythagoras like this

x² = 12² + 16² = 144 + 256 = 400

x = sqrt(400) = 20

but just in case, if x is a side touching the 90 degrees angle, then the would look like this (depending on which of the other sides is the Hypotenuse)

either

12² = 16² + x²

144 = 256 + x²

-112 = x²

that did not work. a square root of a negative number did not work for actual distances.

or

16² = 12² + x²

256 = 144 + x²

112 = x²

x = sqrt(112) = 10.58


Related Questions

What is 3 1/5 -2 3/5?

Answers

Answer:

0.6 or 3/5

Step-by-step explanation:

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{5} -2\frac{3}{5} \\\\\frac{16}{5} -\frac{13}{5} \\\\\frac{3}{5}[/tex]

MARKING BRAINLIEST HELP

Answers

Answer:

C,

Step-by-step explanation:

:)

I believe c! Good luck

Helpp i’ll give 20 points !!

Answers

Answer:

I can not see the question and Answer choices

Step-by-step explanation:

1. Triangle QRS has a perimeter of 55. If RT bisects angle R, what is the length of QT?


a. 10

b. 12

c. 15

d. 18

Answers

Answer:

[tex]QT = 10[/tex]

Step-by-step explanation:

Given

[tex]Perimeter = 55[/tex]

See attachment for triangle

The perimeter is calculated as:

[tex]Perimeter = QR + RS + QS[/tex]

This gives:

[tex]55 = 3x + 18 + 2x +12[/tex]

Collect like terms

[tex]3x + 2x = 55 - 18 - 12[/tex]

[tex]5x = 25[/tex]

[tex]x = 5[/tex]

From the attachment:

[tex]QT = 2x[/tex]

[tex]QT = 2 * 5[/tex]

[tex]QT = 10[/tex]

Triangle QRS has a perimeter of 55. If RT bisects angle R, then the length of QT is 10 and this can be determined by using the formula of the perimeter of a triangle.

Given :

Triangle QRS has a perimeter of 55.RT bisects angle R.QS = 2x +12QR = 3xRS = 18

The perimeter of the triangle QRS is given by:

Perimeter = QR + RS + QS

55 = QR + RS + QS

Now, put the values of sides QR, RS, and QS in the above equation.

55 = 3x + 18 + 2x + 12

55 = 5x + 30

25 = 5x

x = 5

Now, the length of the QT is given by:

QT = 2x

QT = 10

For more information, refer to the link given below:

https://brainly.com/question/919810

Please help Brainliest will be given makes no sense ASAP. Question below.

Answers

Answer:

21

Step-by-step explanation:

84/3=28

28/4=7

7x3=21

32
Which of the following is equivalent to
(16^3/2)^1/2
?
6
8
12
64

Answers

Answer:

8

Step-by-step explanation:

I really need help with this problem!!! Can someone help!!!! Please!!!

Answers

9514 1404 393

Answer:

  (a)  31.5 in²

Step-by-step explanation:

The area of a rhombus is half the product of the lengths of the diagonals.

  A = 1/2(d1)(d2)

  A = (1/2)(7 in)(9 in) = 31.5 in²

There are 31.5 in² of space in the rhombus for engraving.

a3 + a + a2 + 5 + 7a2 + 4a - 8a2 - 6 =

Answers

Answer:

3 + 5 − 1

explination

Can y’all help me on question six?!

Answers

Answer:

The answer is B. 40

Answer:

answer it B which is 40..............

Can someone tell me what I did wrong.

Answers

Answer:

when adding fractions make sure the bottom number is the same

so for number 2 make sure both are 4 on the bottom of the fraction by multiplying by 2 maybe 1/4+2/4 that would equal 3/4 not 1

Answer:

Step-by-step explanation:

1/2+1/4=0.75 less than 1

3/6+2/3=1.17 greater than 1

2/4+1/3=10/12 less than 1

mark brainliest thx

A photographer uses 112 rolls of film to do a job. It costs £2.40 a
roll and the developing and printing costs are £3.35 a roll. What was
the photographer's total cost?

Answers

Answer:

£644

Step-by-step explanation:

Add 2.40+3.35 then times 112

There are many regulations for catching lobsters off the coast of New England including required permits, allowable gear, and size prohibitions. The Massachusetts Division of Marine Fisheries requires a minimum carapace length measured from a rear eye socket to the center line of the body shell. For a particular local municipality, any lobster measuring less than 3.37 inches must be returned to the ocean. The mean carapace length of the lobsters is 4.01 inches with a standard deviation of 2.13 inches. A random sample of 60 lobsters is obtained.

Required:
What is the probability that the sample mean carapace length is more than 4.25 inches?

Answers

Answer:

Probability that the sample mean carapace length is more than 4.25 inches = 0.9993

Step-by-step explanation:

Given - There are many regulations for catching lobsters off the coast

             of New England including required permits, allowable gear, and

             size prohibitions. The Massachusetts Division of Marine Fisheries

             requires a minimum carapace length measured from a rear eye

             socket to the center line of the body shell. For a particular local

             municipality, any lobster measuring less than 3.37 inches must

             be returned to the ocean. The mean carapace length of the  

             lobsters is 4.01 inches with a standard deviation of 2.13 inches.

             A random sample of 60 lobsters is obtained.

To find - What is the probability that the sample mean carapace length

              is more than 4.25 inches?

Proof -

Given that, μ = 4.01, σ = 2.13 , n = 60

Now,

μₓ⁻ = σ / √n

    = [tex]\frac{2.13}{\sqrt{60} }[/tex]

    = [tex]\frac{2.13}{7.746}[/tex] = 0.275

⇒μₓ⁻ = 0.275

Now,

P(X⁻ > 3.37) = 1 - P( X⁻ <  3.37)

                   = 1 - P(z <  [tex]\frac{3.37 - 4.25}{0.275}[/tex] )

                   = 1 - P( z < -3.2 )

                   = 1 - 0.0007

                   = 0.9993

⇒P(X⁻ > 3.37) = 0.9993

∴ we get

Probability that the sample mean carapace length is more than 4.25 inches = 0.9993

Consider the expression

Answers

PHOTOMATHH !!!!!! Take a screenshot of it it’s quick

Help me with this question please and thank you

Answers

Yes they are both proportional

Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he wants to determine how prepared the students are for the test. So, he writes each term on a note card and puts all the note cards in a paper bag. Then, he asks each student to come to his desk, select five note cards out of the bag, define those five terms, and then put the note cards back in the bag. He records the number of terms each student is correctly able to define.

1. What is the population in this situation? What is the sample? Use complete sentences in your answer.
2. Do you think the data from the sample Mr. Wilson is collecting is representative of the population? Explain your reasoning using complete sentences.

Answers

Answer:

2

Step-by-step explanation:

Write 3 different equations for 19 xxxxxxx equals 40

Answers

question:

is there a reason for all the x's there?

if cot theta = -2, find the value of cot theta + cot (theta -pi) + cot (theta-2pi)

Answers

Given:

[tex]\cot \theta = -2[/tex]

To find:

The value of [tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)[/tex].

Solution:

We know that,

[tex]\cot (\theta -n\pi)=\cot \theta[/tex]         ...(i)

Where n is an integer.

We have,

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)[/tex]

Using (i), it can be written as

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=\cot \theta +\cot \theta +\cot \theta [/tex]

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=3\cot \theta[/tex]

It is given that [tex]\cot \theta = -2[/tex].

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=3(-2)[/tex]

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=-6[/tex]

Therefore, the value of the given function expression is [tex]-6[/tex].

ok so this is drag and drop so tell me which answer goes in each box the for the box o the left count that as the first box ty np scams.

Answers

Answer:

[tex]\Huge\boxed{z<1.25}[/tex]

Step-by-step explanation:

Hello There!

Once again we need to isolate the variable using inverse operations

to get rid of the -8.2 we add 8.2 to each side

-8.2+8.2 cancels out

-9.7+8.2=-1.5

now we have

-1.2z>-1.5

now we wan to get rid of the -1.2

to do so we want to divide each side by -1.2

[tex]\frac{-1.2z}{-1.2} =z\\\\\frac{-1.5}{-1.2} =1.25[/tex]

Remember we have to flip the inequality sign because we're dividing by a negative number

we're left with

z<1.25

Answer:

Thanyou for point Ty ilove you

A) 1/2
B) 3/5
C) 1 2/3
D) 2​

Answers

It’s A:) explanation- I got it right

What is the answer too 4(2x+1)

Answers

Answer:

8x+4

Step-by-step explanation:

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

Answer:

8x + 4

Step-by-step explanation:

4 x 2x = 8x

4 x 1 = 4

therefore its:

8x + 4

Brainliest is appreciated

gráfica lineal de ×+3<10​

Answers

Answer: X<7

I use Mathpapa to solve these types of problems.

what is the value of the digit 3 in the number 2341?​

Answers

Answer:

300

Step-by-step explanation:

it's in the hundreds place

2 is in the thousands place and has a value of 2000

3 is in the hundreds place and has a value of 300

4 is in the tenths place and has a value of 40

1 is in the ones place and has a value of 1

when u add it all together u get 2341

hope this helps chu <3

Point B is reflected over the y-axis to create the point B'. Then, points B, B' and C are connected to form a triangle. What is the area of the triangle formed? 48 square units 14 square units 28 square units 24 square units

Answers

Answer:

24 square units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation translation and dilation.

If a point O(x, y) is reflected along the y axis, the new location would be O(-x, y).

The coordinate of the triangle is B(3, 5), C(3, -3). Therefore since B is reflected along y axis to form B'. Hence, B' = (-3, 5)

[tex]|BC|=\sqrt{(3-3)^2+(5-(-3))^2}=8\ units \\\\|CB'|=\sqrt{(-3-3)^2+(5-5)^2}=6\ units \\\\Area\ of\ triangle\ BCB'=\frac{1}{2}* |BC|*|BB'|=0.5*8*6\\\\Area\ of\ triangle\ BCB'=24\ units[/tex]

Answer:

24 sq units

Step-by-step explanation:

if a televison screen measures 24 inches high and 18 inches wide what size televison is it

Answers

I don't quite get what you want, so here, the TV could be a medium (If that's what you wanted), and the TV could be 24 by 18 inches (If that's what you wanted instead.)

Answer:

35 in.

Step-by-step explanation:

could you help please i will give points but please explain

Answers

Answer: 7/12

Step-by-step explanation: Given that,

(5/6) - (1/4) = ?

The difference Will be, take L.C.M. of 6 and 4 which is 12, then we get,

 = ( 10 - 3 ) / 12

= 7 /12

Find the slope of the line that contains the points:
(-6, 3) and (-4, 5).

Answers

Answer:

slope m=1

Step-by-step explanation:

m=y2-y1/x2-x1

m=5-3/-4-(-6)

m=5-3/-4+6

m=2/2

m=1

U will be marked as Brainliest

Answers

Answer:

Equation: 2.75x + 114 = 320.25

x =$75

Step-by-step explanation:

Equation:

[tex]\boxed {2.75x + 114 = 320.25} \\ \\ 2.75x = 320.25 - 114 \\ \\ 2.75x = 206.25 \\ \\ x = \frac{206.25}{2.75} \\ \\ x = \$75[/tex]

A line contains the point (3, 5). If the line has negative slope, which of these points could also be on the line?
A. (2,0)
B. (4, 7)
C. (5, 4)
D. (6, 5)

Answers

Answer:

C.(5,4)

Step-by-step explanation:

Rachel needs 2/5 yard of ribbon to make one bow for a cheerleading competition. If she has 15 yards of ribbon, how many bows can she make? *

Answers

Answer:

37.5

Step-by-step explanation:

divide 15 by 2/5

18 push-ups in 3 days = push ups per day​

Answers

Answer:

6 pushups

Step-by-step explanation:

Answer:

6 push ups per day.

Step-by-step explanation:

question asks = how many pushups in one day?

18 divided by 3 is 6.

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