The legs of a right triangle are 12 centimeters and 16 centimeters.What is the length of the hypotenuse

Answers

Answer 1

Answer:

20 cm

Step-by-step explanation:

Using the Pythagorean theorem:

[tex](a^2)+(b^2)=(c^2)\\(12)^2+(16)^2=(c^2)\\144+256=c^2\\400=c^2[/tex]

[tex]\sqrt{x} 400=c^{2} \\c^2=20\\[/tex]

Answer 2

Answer:

20 centimeters

Step-by-step explanation:

to find the length of a use the pythagoran theorem.

A^2+B^2=C^2 with a and b being the legs.

Plug in the numbers 12^2+16^2=c^2

Solve

c=20


Related Questions

what is the value of d+3

Answers

Answer:

you need to explain

Step-by-step explanation:

Find the 61st term of -12, -28, -44,

Answers

Answer:

[tex]a_{61}=-972[/tex]

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)r[/tex]

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

We are given the first terms of a sequence:

-12, -28, -44,...

Find the common difference by subtracting consecutive terms:

r = -28 - (-12) = -16

r = -44 - (-28) = -16

The first term is a1 = -12. Now we calculate the term n=61:

[tex]a_{61}=-12+(61-1)(-16)[/tex]

[tex]a_{61}=-12-60*16=-12-960[/tex]

[tex]\mathbf{a_{61}=-972}[/tex]

failed my elementary statistics college class, 1st semester, can i retake the same class? or no

Answers

Answer:

I think you can

Step-by-step explanation:

Answer:

I think you can take it in the next semester

Step-by-step explanation:

What is the least common multiple of the two denominators 6/8, 4/32

Answers

Answer:

32

Step-by-step explanation:

Refer to - KLMN
2x
M
101
-3
2y
P
y + 3 cm
60°
К.
N
x + 4 cm
mZ1 + m22 =

Answers

Answer:

[tex]m∠1 + m∠2 = 180[/tex]

Step-by-step explanation:

[tex]m∠1 = m∠3 \\ m∠2 = m∠4[/tex]

[tex]m∠ 1 = m∠3 \\ 60 = 60[/tex]

[tex]360 - m∠1 + m∠3 = m∠2 + m∠4[/tex]

[tex]360 - 60 + 60 = m∠2 + m∠4[/tex]

[tex]360 - 2(60) = m∠2 + m∠4[/tex]

[tex]360 - 120 = m∠2 + m∠4[/tex]

[tex]240 = m∠2 + m∠4[/tex]

[tex] \frac{240}{2} = m∠2 = m∠4[/tex]

[tex]120 = m∠2 = m∠4[/tex]

[tex]m∠2 = 120 \\ m∠4 = 120[/tex]

[tex]m∠1 = 60 \\ m∠3 = 60[/tex]

[tex]m∠2 = 120 \\ m∠4 = 120[/tex]

[tex]m∠1 + m∠2 + m∠3 + m∠4 { = }^{?} 360[/tex]

[tex]60 + 120 + 60 + 120 { = }^{?} 360[/tex]

[tex]2(60) + 2(120) { = }^{?} 360[/tex]

[tex]120 + 240 { = }^{?} 360[/tex]

[tex]360 = 360[/tex]

[tex]m∠1 + m∠2 [/tex]

[tex]60 + 120 = 180[/tex]

[tex]m∠1 + m∠2 = 180[/tex]

hey im dum dum what's 45*23455/76?

Answers

Answer:

13887.8289474

Step-by-step explanation:

i used a calculator cuz im dum too lol

Answer:

45*23455/76 = 133887.82894736

Evaluate 15 squared show work

Answers

Answer:

225

Step-by-step explanation:

15x15=225

There is a cool trick you can do. Lets take 28 and square it.

First you round the number up. 28 rounded is 30. You rounded up by 2 (30-28=2) so you minus 2 from 28.

You are left with these two numbers, 26 and 30. Add a zero to the 26.

You now have 260 and 3 (you remove 0 on the 30 since you added it to the 26)

Then you multiply by 3.

260x3=780

Then you add the square of the number you rounded up too, which is 2.

You are left with this equation.

(2^2)+780= 784

28x28=784.

This works for numbers below 100 and integers

If t=2 what is the value of 13-2t

Answers

Answer:

9

Step-by-step explanation:

plug in t=2 into equation

so

13-2(2)

=13-4

=9

How do I factor the quadratic 45x^2+46x-63 ?

Answers

Answer:(9x-7) (5x+9)

Item Measured Scale Reading (tons) Number of Items on the Scale Weight per Item (tons)
Raul and his friends
1
20
4
cars
7
8
2
baby elephants
ما | ط
001
goats
4
cow NIP
desks
1
32

Answers

Answer:

Plato Answer

Step-by-step explanation:

Help plz 13. Mildred is flying a kite on a 30 m string. The angle of elevation of the kite measures 40 degrees,
and Mildred's hand is 2 m above the ground. About how high is the kite off the ground?
a. 21.3 m
c. 19.3 m
b. 25 m
d. 23 m

Answers

Answer: 21.3m

Step-by-step explanation:

The height of the kite of the ground would be calculated as:

We have to calculate the question using a right angled triangle that has angle ACB as 90° while angle CAB will be 40°.

Therefore, the height of the kite would be:

= 30 sin 40 + 2

= 30 (0.6428 ) + 2

= 19.284 + 2

= 21.284 m

= 21.3 m

please help i have no idea

Answers

Answer: D answer:12 :))

Find the value of x in the diagram below. Classify

Answers

Answer:

x = 31.3

Step-by-step explanation:

100° and (3x + 6)° are vertical angles. Vertical angles are congruent.

To find the value of x, set both equal to each other.

3x + 6 = 100

3x = 100 - 6 (subtraction property of equality)

3x = 94

x = 94/3 (division property of equality)

x = 31.3 (nearest tenth)

Solve (10b+7b^2-6b^3)-(12b^2-3b^3)

Answers

Answer:

-3b³ - 5b² + 10b

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Expression

(10b + 7b² - 6b³) - (12b² - 3b³)

Step 2: Simplify

Distribute negative:                   10b + 7b² - 6b³ - 12b² + 3b³Combine like terms (b³):            -3b³ + 10b + 7b² - 12b²Combine like terms (b²):            -3b³ - 5b² + 10b

Which graph can be used to solve the equation 2^x-1=x+2?

Answers

Answer:

Bottom Left

Step-by-step explanation:

I found the graph. All you needed to do was switch the red and blue line. I put a screenshot of the correct answer on I-Ready as well as the graph I had found.

The system of equations needed to solve the given equations is . Thus, the correct graph is the top-right graph. Its plotted below.

How to find the system of equations needed to solve an equation?

An equation usually consists of equality of two mathematical expressions. Let it be [tex]A = B[/tex]. If we take them to be equal to third variable, then:

[tex]A = B = C[/tex] type of equation is obtained.

We can then take it as system of two equations as:

[tex]A = C\\B = C[/tex]

Solution to this system will give us the solution to the considered equation


What is a solution to a system of equations?

For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs.

For the given case, we are given that:

[tex]2^x-1=x+2[/tex]

Taking these two mathematical expression equal to 'y', we get:

[tex]2^x-1=x+2 = y[/tex]

or

[tex]y = 2^x - 1\\and\\y= x+2[/tex]

Plotting these two functions on the X-Y plane, the common point of these curves is the common value which can satisfy both the equations simultaneously, and thus, being the solution to the considered system of equations.


Thus, the solutions are those two points that are intersections of those two curves.

Learn more about solution of a system of an equation here:

https://brainly.com/question/13722693

Find the value of x. Will give brainliest

Answers

Answer:

x = 11

Step-by-step explanation:

Angle CAB = 33 degrees (Z-figure)

Angle ACE = 180 degrees (line), therefore angle ACB = 180 - 5x.

Sum of all angles in the triangle should equate to 180 degrees.

Now the sum is of all angles in triangle ABC is:

CAB + ABC + ACB = 33 + (180 - 5x) + 2x = 213 - 3x

So 213 - 3x should equal 180.

213 - 3x = 180 <=> -3x = -33 <=> x = 11

Write an equation of the line below ​

Answers

Answer:

ok.

Step-by-step explanation:

y=-1/1x+4. hope this helped :))

Answer: y= -8/8x + 4

or y=-x+4

Step-by-step explanation:

put the numbers in order from least to greatest.

5 * 10^6

4000000

5 * 10^5

0.6 * 10^7

75 * 10^5

Answers

So if u simplify them all it would be 5000000, 4000000, 500000, 6000000, 7500000 so it would be least is 500000, 4000000, 5000000, 6000000, and 75000000 being the greatest... I hope this helps uuuu! :)

pls help i need help :D

Answers

Answer:

[tex]\frac{2808}{3125}[/tex]

Step-by-step explanation:

The diagram represents the enlargement of a rectangle by using a scale factor of 6.

A rectangle has a length of 30 feet and width of 6 feet.


What are the dimensions of the original rectangle?

Answers

Answer:

lenght of 5 feet and width of 1 feet

Step-by-step explanation:

30/6=5

6/6=1

Answer:

lenght of 5 feet and width of 1 feet

Step-by-step explanation:

30/6=5

6/6=1

Step-by-step explanation: like what that peson said! way to go and good luck on your test!

1
A. (f = g)(x) = 2 - 4
.
true or false

Answers

Answer:

=-2

Step-by-step explanation:

x=-(4-2)

Answer:

false

hope this helps

Find the x and y intercepts of the following equation. 3x - 8y = 24

Answers

y=-3
x=8

This is because you equal the opposite to 0 then solve.

A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods.
Part A
If 10 club members each collect the same number of canned goods, which inequality represents the minimum number of canned goods, n, each
club member must collect for the club to meet the goal?
10n +30<500
10n + 30 500
30n + 10 < 500
30n + 10 > 500

Answers

i think i would know the answer to that

given f(x)=2x-5, find x when f(x)=9

Answers

Answer:

x = 7

Step-by-step explanation:

9 = 2x - 5

add 5 to both sides

14 = 2x

divide by 2 to get x by itself

x = 7

I just want ppl to check, extra points too!

Answers

Answer:

thats correct

Step-by-step explanation:

i had that on my test and i ot it right

Amit’s school bus travelsat 36km/hr and Sushma’s school bus travels at 11 m/s. Whose school bus is faster ?

Answers

Answer:

This answer is not originally mine so Don give me credit

Step-by-step explanation:

Amit's school bus in m/s will be

36×1000/3600

36 × 10/36

= 10 m/s

While sushma's school bus has speed of 11 m/s

so sushma's school bus is faster than Amit's school bus

Answer:

Amit's: 10 m/s

Sushma's 11 m/s

Step-by-step explanation:

Amit's:

36 x 1000/3600

36 x 10/36

Sushma's:

11 m/s

Sushma's school bus is faster than Amit

While President, Obama received an average of 60, 000 letters per week at the White House.
Approximately how many letters does he receive in a day?

Answers

Answer:

8571 letters per day

Step-by-step explanation:

60,000/1 week is the same as 60,000/7 days so

60,000/7 = 8571.428571

is aproximately 8571 letters per day

To walk to her friend's house, Cristal normally walks 63 yards north and 16 yards east as shown. How many
yards shorter would it be if Julie took the diagonal shortcut, x?
16 yd
63 yd
х
A
(10

Answers

Answer:

65 yd

Step-by-step explanation:

The image of this walking path of Cristal is missing, so i have attached it.

From the image attached, we can see that the path "x" is the hypotenuse path a the triangle.

Thus, we can use pythagoras theorem to find the area. Thus;

x² = 16² + 63²

x = √(16² + 63²)

x = √4225

x = 65 yd

A university organization shows that 108 of the university's 253 assistant professors were women, along with 97 of the 301 associate professors and 78 of the 350 full professors. (a) What is the probability that a randomly chosen university professor (of any rank) is a woman

Answers

Answer:

[tex]Probability = 0.3131[/tex]

Step-by-step explanation:

Required

Determine the probability of selecting a woman

The given data can be represented to show women distribution as:

-------------------------------------- Women ------------------- Total

Assistant Professors ----------- 108 ----------------------253

Associate Professors ---------97 -------------------------301

Full Professors -----------------78---------------------------350

First, we calculate the number of women

[tex]Women = 108 + 97 + 78[/tex]

[tex]Women = 283[/tex]

Next, we calculate the total number of professors

[tex]Professors = 253 + 301 + 350[/tex]

[tex]Professors = 904[/tex]

Probability of selecting women is then calculated as:

[tex]Probability = \frac{Women}{Professors}[/tex]

[tex]Probability = \frac{283}{904}[/tex]

[tex]Probability = 0.31305309734[/tex]

[tex]Probability = 0.3131[/tex] -- (approximated)

Lizzie buys 3 clocks for a total cost of £50 at a car boot sale. She sells 2 clocks for £22 each and the other for clock for £20 Lizzie thinks she has made a 30% profit

Answers

Answer:

yes she made  30% profit it says she sell 2 clocks for 20 and 22 each for the  other ones

Step-by-step explanation:

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