Suppose a right triangle has a
hypotenuse length of 12. If one of
the legs has length 5, what would
the length of the last leg be?

Answers

Answer 1

Answer:

See the last two lines below. I don't know which one you want.

Step-by-step explanation:

hypotenuse = 12

One leg        = 5

other leg =      x            Substitute into a^2 + b^2 = c^2

x ^2 + 5^2 = 12^2

x^2 + 25 = 144              Subtract 25 from both sides

x^2 = 144 - 25              Combine

x^2 = 119                      Take the square root of both sides

x = sqrt(119)

x = 10.91


Related Questions

Which of the following relations represents a function?


{ (-2, 1), (0, 5), (1, -3), (-2, 0)}

{ (-3, 1), (1, 4), (-2, 1), (0, 3)}

{(-1, 3) (-2, 3) (-1, 5) (-2, 5)}

{ (4, 2), (4, 3), (4, 5), (4, 7)}

Answers

Answer:

Option A because functions only point to 1 output.

Find the equation of the parabola that has a vertex at (2,0) and a y-intercept of (0,12).
Question 19 options:

A)

y = 3(x + 2)2

B)

y = (x – 2)2

C)

y = (x + 2)2

D)

y = 3(x – 2)2

Answers

Answer:

D

Step-by-step explanation:

standard form would be 3x^2-12x+12

vertex form y=3(x-2)^2

Answer:

y = 3(x + 2)2

Step-by-step explanation:


2
5

y=
\,\,-11
−11

Answers

gbaijwghwugaggaufgwhhsuhwkhsiw

If m ABC=25 and m CBD= 35 then m ABD=

Answers

Answer:

Angle ABD = 60

Step-by-step explanation:

Angle ABD = angle ABC + angle CBD

We are given that angle ABC = 25 and angle CBD = 35

So angle ABD = 25 + 35 = 60

Answer:

60

Step-by-step explanation:

to find the length of the entire angle, you will have to add both seperated sides to find it.

<ABC = 25

<CBD = 35

25 + 35 = 60

So, <ABD = 60

Hope this helped.

Find the domain of the function. (Enter your answer using interval notation.) f(x) = 1 /(x2 + 3x − 4)

Answers

Step-by-step explanation:

The domain of a function is the range of x such that the function is defined.

Now we know the function

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

is only defined when the denominator is not zero, in other words, when

[tex] {x}^{2} +3x - 4 \neq \: 0[/tex]

or

[tex](x + 4)(x - 1) \neq0[/tex]

[tex]x \ne-4 [/tex]

and

[tex]x \neq +1[/tex]

I’m assuming you mean x squared… so

1/(x^2+3x-4)
1/(x+4)(x-1)
{x|x≠1,-4}

Answer:
(negative infinity, -4) U (-4,1) U (1, infinity)

one leg of a right triangle is 42 inches longer than the other leg, and the hypotenuse is 78 inches. find the lengths of the legs of the triangle

Answers

Answer:

use phythagoras formula of calculating right angles

a^2=b^2+c^2

42^2=b^2+78^2 (substitution + transposement)

b^2=72^2-42^2

b^2=3420 (introduce a square root both sides)

what you do on the left .you also do it on the right

b is the unknown side of the triangle

b=58.48 inched

The lengths of the legs of the right angle triangle is 30 inches and 72 inches.

What is a triangle?

A triangle is a closed plane figure formed by joining three noncolinear points.

We know Pythagoras's theorem which states the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given one leg of a right-angle triangle is 42 inches longer than the other leg.

Assuming the smallest leg to be x inches.

∴ The other leg is (x + 42) inches also given hypotenuse is 78 inches.

∴ (x + 42)² + x² = 78².

x² + 84x + 1764 + x² = 6084.

2x² + 84x - 4320 = 0.

x² + 42x - 2160 = 0.

As length can not be negative value of x = 30 inches.

∴ The smaller leg is 30 inches and the larger leg is (30 + 42) = 72 inches.

learn more about triangles here :

https://brainly.com/question/2773823

#SPJ2


If Y=x-5 and 20y -5y=15 what is the value of X?

Answers

Answer:

X=6

Step-by-step explanation:

20 × 1 or y = 20

5 × 1 or y = 5

20 - 5 = 15

1 or y + 5 = 6

The maxwell family goes out for dinner and the price of the meal is $60 the sales tax on the meal is 7% and they also want to leave a 15% tip what is the total cost of the meal

Answers

So we start with the $60 untouched.

Then we add the tax which is $60•0.07= 4.20 that is the tax

Then add the tax to the total $60 + $4.20= $64.20

Next we must add the tip so $60•0.15= 9.

Then $64.20 + $9.00 = $73.20

Total cost of meal $73.20

Any questions? :)

Answer: $ 73.20

Step-by-step explanation:

60+(60*0.07)+(60*0.15)=73.2

The product of 2 more than 5 times a number and 4 less than three times a number

Answers

Sorry I'm not sure if I'm right just my thinking...

set the number to be x so that (5x+2)(3x-4)??

Manuela bought 11/12 yard of polka dot fabric and 7/9 yard of flowered fabric which fabric did she buy more of

Answers

Answer:

She bought more polka dot fabric

Step-by-step explanation:

you can cross multiply so 9x11=99 and 12x7=84. Since 99>84, 11/12>7/9

Referring to the figure, find the volume of the solid
shown. Round to the nearest whole number.

Answers

First find the area of the triangle using the formula 1/2 x base x height:

1/2 x 22 x 13 = 143 square cm

Now for volume multiply the area by the depth of the figure:

143 x 30 = 4,290 cubic cm

Answer:

780

Step-by-step explanation:

First use pythagorean theorem to find the triangle, then multiply by 30

Find the HCF of the following by long divosiin method 102,68,136​

Answers

Answer:

102=2*3*17

68=2*2*17

136=2*2*2*2*17

The common prime factors are 2 and 17

Highest common factor (HCF)=2*17=34

Hope it helps you.
For 108 it’s factors are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54 and 108.
For 68: 1, 2, 4, 17, 34, and 68
For 136: 1, 2, 4 , 8, 17, 34, 68, and 136.

So my answer I think is: 68

How do I answer this?

Answers

Answer:

Step-by-step explanation:

43 + 39 + <1 = 180                    Three angles make up a triangle of 180 degrees.

82 + <1 = 180                            Subtract 82 from both sides

<1 = 98

<2 = <1                                      They are vertically opposite

<2 = 98

Factor 2x² + 13x + 20​

Answers

Answer:

(2x+5)(x+4)

Step-by-step explanation:

9514 1404 393

Answer:

  (x +4)(2x +5)

Step-by-step explanation:

To factor this, you look for factors of 2·20 = 40 that have a sum of 13.

The factor pairs of 40 are ...

  40 = 1·40 = 2·20 = 4·10 = 5·8

The sums of these factor pairs are 41, 22, 14, 13. The last one is the one we want.

There are several ways to use this factor pair. One of the more straightforward methods is to rewrite the middle term as a sum using these numbers:

  2x² +5x +8x +20

  = x(2x +5) +4(2x +5) . . . . . factor pairs of terms

  = (x +4)(2x +5) . . . . . . . . . factor out the common factor

What is the midpoint of the segment that joins the points (-12, 12) and (-6, -1)?​

Answers

Answer:

[tex]\boxed {\boxed {\sf ( -9, \frac{11}{2}) }}[/tex]

Step-by-step explanation:

We are asked to find the midpoint of a segment. We essentially calculate the average of the x-coordinates and the y-coordinates using the following formula.

[tex]( \frac {x_1+x_2}{2}, \frac{ y_1 + y_2}{2})[/tex]

In this formula, (x₁ , y₁) and (x₂ , y₂) are the endpoints of the segment. For this problem, the 2 endpoints are (-12, 12) and (-6, -1). If we match the variable and the corresponding value, we see that:

x₁= -12 y₁= 12 x₂ = -6 y₂ = -1

Substitute the values into the formula.

[tex]( \frac{-12 + -6}{2}, \frac{12 + -1} {2} )[/tex]

Solve the numerators.

-12 + -6 = -12 -6 = -18 12 + -1 = 12-1 = 11

[tex]( \frac{-18}{2}, \frac{11}{2})[/tex]

Divide.

[tex]( -9, \frac{11}{2} )[/tex]

The midpoint of the segment is [tex]\bold {( -9, \frac{11}{2} )}[/tex].

The sum of ∠1,∠2 and ∠3 is _____________ sum of ∠3,∠4 and ∠5

Greater than
Lesser than
Equal to
Twice the​

Answers

Answer:

twice the

Step-by-step explanation:

hope it helps you

Find the value of x 3(4x+3)

Answers

3(4x+3)=12x+9

i don't know what do you need,

if roots, let 12x+9=0

the root is x=-3/4

Use the ÷10 pattern to fill in blanks 400 and 0.4

Answers

Answer:

400÷10=0.4

stay safe and healthy

I don’t understand your question perfectly
According to what I understand, this might be your answer.
Ans: 400,40,4 and 0.4
Please mark brainlest if I helped u a bit

Critical Thinking Point M is the midpoint of AB. The coordinates of point A are
(-8, 3) and the coordinates of Mare (–2, 1). What are the coordinates of point B?

Answers

Answer:-1,4

Step-by-step explanation:

how many numbers of four different digits can be formed from the integers 0,2,4,5,6. ​

Answers

Answer:

420 even numbers

Step-by-step explanation:

Answer

Total 4 digit even numbers = (Total even numbers) - (Total 3 digit even numbers)

Total even numbers: 4⋅6⋅5⋅4=480

Total 3-digit even numbers: 3⋅5⋅4⋅1=60

Total 4-digit even numbers: 480−60=420 ??

Step-by-step explanation:

If the statement if I'm hungry, then I am not happy is assumed to be true is it's inverse of I am not hungry then I must be happy also always true

Answers

Answer:

yes!

Step-by-step explanation:

"i am not happy when hungry" is the inverse of "i am not hungry, i am happy."

Answer:

No

Step-by-step explanation:

I need to know the distance between points x and y

Answers

Answer:

Step-by-step explanation:

Distance between two points P(x1,y1) and Q(x2,y2) is given by: d(P, Q) = √ (x2 − x1)2 + (y2 − y1)2 {Distance formula} 2. Distance of a point P(x, y) from the origin is given by d(0,P) = √ x2 + y2.

A music store sold 103 CDs and 102 CD players. If each CD costs $12
and each CD player costs $35, what was the store's total earnings?
$15,500
© $36,200
$24,500
0 $47.000

Answers

Answer:

$15,500

Step-by-step explanation:

It would help if you put the actual question in place

    10³ CDs = 1000 at $12 each    = $12000

+ 10² Players = 100 at $35 each = $  3500

Total                                                 $15500

103(12) + 102(35) = $4806

How can you rewrite simple rational expressions in different forms using long division?
(50 POINTS)PLEASE!!!!!

Answers

Step 1: Factor both the numerator and denominator of the fraction. Step 2: Reduce the fraction. Step 3: Rewrite any remaining expressions in the numerator and denominator. Step 1: Factor both the numerator and denominator of the fraction.

Is a measure of 24 inches "far away from a mean of 16 inches? As someone with knowledge of statistics, you answer it depends" and request the standard deviation of the underlying
data
(a) Suppose the data come from a sample whose standard deviation is 2 inches. How many standard deviations is 24 inches from 16 inches?
(b) Is 24 inches far away from a mean of 16 inches?
(c) Suppose the standard deviation of the underlying data is 5 inches. Is 24 inches far away from a mean of 16 inches?
(a) 24 inches is
standard deviation(s) away from 16 inches.
ne doimal olan
nondad)

Answers

Answer:

I really need points plsss

Step-by-step explanation:

Combine like terms and write the simplified

Answers

Answer:

4x-3 16t-4

Step-by-step explanation:

Answer:

1. 8x-4x=4x

5-2=3

so the answer will be

4x+3

2.9t-7t+12-8=2t+4.

3.i have no idea

4. 18x^2+12x^2+16x-11x-17+19=30x^2+5x-36.

4. If A. 35
B.180
C.125
D.55

Answers

Answer:

C

Step-by-step explanation:

z=x as they are alternate angles and x=o as they are alternate exterior angles

38. Evaluate f (3x +4y)dx + (2x --3y)dy where C, a circle of radius two with center at the origin of the xy
C plane, is traversed in the positive sense.

please i need real time help

Answers

It looks like the integral is

[tex]\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy[/tex]

where C is the circle of radius 2 centered at the origin.

You can compute the line integral directly by parameterizing C. Let x = 2 cos(t ) and y = 2 sin(t ), with 0 ≤ t ≤ 2π. Then

[tex]\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy = \int_0^{2\pi} \left((3x(t)+4y(t))\dfrac{\mathrm dx}{\mathrm dt} + (2x(t)-3y(t))\frac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt \\\\ = \int_0^{2\pi} \big((6\cos(t)+8\sin(t))(-2\sin(t)) + (4\cos(t)-6\sin(t))(2\cos(t))\big)\,\mathrm dt \\\\ = \int_0^{2\pi} (12\cos^2(t)-12\sin^2(t)-24\cos(t)\sin(t)-4)\,\mathrm dt \\\\ = 4 \int_0^{2\pi} (3\cos(2t)-3\sin(2t)-1)\,\mathrm dt = \boxed{-8\pi}[/tex]

Another way to do this is by applying Green's theorem. The integrand doesn't have any singularities on C nor in the region bounded by C, so

[tex]\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy = \iint_D\frac{\partial(2x-3y)}{\partial x}-\frac{\partial(3x+4y)}{\partial y}\,\mathrm dx\,\mathrm dy = -2\iint_D\mathrm dx\,\mathrm dy[/tex]

where D is the interior of C, i.e. the disk with radius 2 centered at the origin. But this integral is simply -2 times the area of the disk, so we get the same result: [tex]-2\times \pi\times2^2 = -8\pi[/tex].

(20 points) please help

Answers

Answer: The antonym of multiply is divide.

Answer:

Divide

Step-by-step explanation:

Antonym simply means the opposite of the given word.

So the opposite of multiplication is division thus division is the answer.

HOPE THIS HELPED

Compare with >, < 12.6 and 12.3​

Answers

Answer:

12.6>12.3

Step-by-step explanation:

Other Questions
how do u do (-1)(3)(-4)= write each expression as a single power of 10 The TGV is a high speed train in France. The speed of this train can be modeled by the equation d = 347.2t, where d is the trains distance, in miles, and t is the time, in hours. The Shanghai-Hangzhou Train is a high speed train in China, and the table below summarizes how long it takes this train to travel different distances. Assume that both trains always operate at constant speeds. Which train is faster? 3(p 6) + 15 = 0 PLEASE SOLVE PLEASE HELP IT IS URGENT Ms. Drew wants to build a square sand box with an area of 225 sq ft what is the lenght of woods she needs philosophically correct C. what would the philosophers think? read each scenario. choose one philosopher who would agree with the scenario and one who would disagree1. The president should be able to make any laws that he or she thinks its a good idea.2. The people should have the right to say whatever they want, whenever they want.3. people dont need to have a say in who governs them.4. some people are better than others.5. if I dont like what youre doing, its my right to stop you.6. The leaders religion should be the religion of the nation.7. whatever the majority decides should be enforced on everyone.8. if the leader is abusing his or her power, the people should just deal with it. Write an essay explaining how the author develops the sense of building tension in the article. Be sure to use details and evidence from the text as you write your essay. Use the number line to find a fraction that equals to 1/2 an arena is 1/2 full. After 1,500 people leave the arena, it is 1/3 full. What is the seating capacity of the arena? When 59,527 is divided by 23, the quotient is 2,588 R ___. Los opuestosMi prima Carolina no es alta; ella es___ The cube of a whole number is 100 morethan the square of the same number,What is the number? what's an Allophones Adems de Argentina, qu pases hispanohablantestienen fronteras con cinco pases? The figure is twice as _______ as Germanys annual budget. budget.largemuchmoremany On occasion, anxiety can be a normal response to life events, but which of the following responses is not normal?Osadness lasting for weeksObrief feelings of sadnessshort term feelings of worryself-conscientious pls help..10 Round off 843 426 to the nearest thousand. FIND x :x+(x+1)+(x+2)=(x+1)^2A. 1B. 0 C. 3 D. 2 Pls help !!!find the rate of change on [-1, 4] jiompomjiiojoooinnojhhjkonkjnknjkkjkjjjknknkjnknknknknknkj