MATHEMATICS MIDDLE SCHOOL

If a right triangle has legs with the lengths of 10 in and 4 in, what is thelength of the hypotenuse?*

A. 114
B. 26
C. 5.1
D. 10.8

Answers

Answer 1

Answer: It’s 11.8 I think but that’s not an answe

Answer 2

Answer:

Answer:

D. 10.8

Step-by-step explanation:

a^2 + b^2= c^2

a and b are legs and c is the hypotenuse

10^2 + 4^2= c^2

100+16= 116

Find the square root of 116= 10.77 round to 10.8

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Use the distributive property to express 48+18
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How do the signs of the coordinates relateto the quadrant in which a point is located? Explain for each of thefour quadrants.
Mrs. Potts can make 5 dozen ravioli in 1 hour. Write and solve a direct variation equation to find many she can make in 2 1/2 hours.

75= 3(5-5x) solve for x and do the check?

Answers

x = -4

75 = 3(5-5x)
75 = 3(5) - 3(5x)
75 = 15 - 15x
75 - 15 = -15x
60 = -15x
60/-15 = -15x / -15
x = -4

To check:
75 = 3(5-5(-4))
75 = 3(5+20)
75 = 3(25)
75 = 75

♡Let's solve this equation Step-By-Step and Easy-Peasy!♡
♡Here is the question you asked:
75= 3(5-5x)

♡Now simplify both sides of the equation:
♡Here is how to simplify it:
Distribute: 75=(3)(5)+(3)(−5x)
75=15+−15x
75=−15x+15

♡Now flip the equation:
−15x+15=75

♡Now that we have flipped the equation now you have to subtract 15 from both sides:
−15x+15−15=75−15
−15x=60

♡Now divide both sides by -15:
−15x/−15=60/−15

♡Your answer is:
x=−4

♡Now we need to check so:
75 = 3(5-5(-4))
♡Then:
75 = 3(5+20)
♡Now:
75 = 3(25)
♡Final:
75 = 75

♡I hope this helps!♡

how do u estimate decimal like 11.6 and 0.25

Answers

Estimation is about rounding answers to the nearest whole or to a simple fraction.
11.6 is closer to 12 than it is to 11 so we can estimate that
11.6≈12

And .25 is closer to 0 than it is to .5 so we can estimate
.25≈0

It also depends what place we are rounding to, we can say that .25 is close to .3 because we don't want to have a 0 value
.25≈.3

If the number is 0-4 round it down to number that comes before.If the number is 5-9 round it up to the number that comes after.

Your TurnVideo club A charges $10 for membership and $4 per movie
antal Video club B charges $15 for membership and S3 per
vie rental. For how many movie rentals will the cost be the
e at both video clubs? What is that cost? Write a system and
solve by graphing.
Cost ($)
2 4 6 8
Number of movies
Elaborate

Answers

Answer:

$y = 3x + 10$

$y = 3x + 15$

If (6,39) and (-5,-49) are two anchor pint find the equation of the line

Answers

Answer:

$y =8x+9$

Step-by-step explanation:

The points are (6,39) and (-5,-49)

We need to find the equation of this line.

The slope is given by:

$m = (y_2-y_1)/(x_2-x_1)$

$m = ( - 49 - 39)/( - 5 - 6)$

$m = ( - 88)/( - 11)$

$m = 8$

We use the formula:

$y-y_1=m(x-x_1)$

We substitute the point (6,39) and m=8 to get:

$y - 39 = 8(x - 6)$

We expand to obtain:

$y - 39=8x-48$

$y =8x-48 + 39$

$y =8x + 9$

judy uses 12 tiles to make a mosaic. Eight of the tiles are blue. What fraction, in simplest form, represents the tiles that are blue?

Answers

2/3 is the simplest form which represents the tiles that are blue.

What is Fraction?

A fraction represents a part of a whole.

Given that Judy uses 12 tiles to make a mosaic.

Eight of the tiles are blue

We need to find the fraction in simplest form to represents the tiles that are blue

As 12 are the total number of tiles which can be taken in the denominator

8 blue tiles are part of the whole tiles

So we have to divide 8 by 12

8/12

as 8 and 12 are multiples of 4

2/3

Hence, 2/3 is the simplest form which represents the tiles that are blue.

To learn more on Fractions click:

brainly.com/question/10354322

#SPJ2

8/12 = 4/6 = 2/3
2/3 of Judy's tiles are blue

What is the solution to the system?-2x + y + 6z = 1
3x + 2y + 5z = 16
7x + 3y – 4z = 11

Answers

Answer:

x = 4, y = -2, z = 3

Step-by-step explanation:

$\left\{\begin{array}{ccc}-2x+y+6z=1&(1)\n3x+2y+5z=16&(2)\n7x+3y-4z=11&(3)\end{array}\right\n\n(1)\n-2x+y+6z=1\qquad\text{add}\ 2x\ \text{to both sides}\ny+6z=2x+1\qquad\text{subtract}\ 6z\ \text{from both sides}\ny=2x-6z+1\n\n\text{Substitute it to (2) and (3):}\n\n\left\{\begin{array}{ccc}3x+2(2x-6z+1)+5z=16\n7x+3(2x-6z+1)-4z=11\end{array}\right\qquad\text{use the distributive property}\n\n$

$\left\{\begin{array}{ccc}3x+4x-12z+2+5z=16&\text{subtract 2 from both sides}\n7x+6x-18z+3-4z=11&\text{subtract 3 from both sides}\end{array}\right\n\left\{\begin{array}{ccc}7x-7z=14&\text{divide both sides by 7}\n13x-22z=8\end{array}\right\n\left\{\begin{array}{ccc}x-z=2&\text{multiply both sides by (-13)}\n13x-22z=8\end{array}\right$

$\underline{+\left\{\begin{array}{ccc}-13x+13z=-26\n13x-22z=8\end{array}\right}\qquad\text{add both sides of the equations}\n.\qquad\qquad-9z=-18\qquad\text{divide both sides by (-2)}\n.\qquad\qquad \boxed{z=2}\n\n\text{Put it ot the equation}\ x-z=2:\nx-2=2\qquad\text{add 2 to both sides}\n\boxed{x=4}\n\n\text{Put the values of}\ x\ \text{and}\ z\ \text{to the equation}\ y=2x-6z+1:\n\ny=2(4)-6(2)+1\ny=8-12+1\n\boxed{y=-3}$