The lengths of the legs of a 45°-45°-90° triangle can be described by the expressions 4x – 12 and x + 6. What is the length of the legs of the triangle?​

Answer:

Step-by-step explanation:

[tex]-8=-\frac32z[/tex]         {swap sides}

[tex]-\frac32z=-8[/tex]         {divide both sides by (-³/₂)}

[tex]z=-8\div(-\frac32)\\\\z=-8\times(-\frac23)\\\\z=-\frac{16}3=-5\frac13[/tex]

Answer:

2 pints

Step-by-step explanation:

To determine the amount of pints that Emily has more than Josh, gallons and quarts have to be converted to pints and the value is then subtracted

1. Convert gallons and quarts to pints

1 gallon = 8 pints

6 gallons = 8 x 6 = 48 pints

1 quart = 2 pints

23 quarts = 2 x 23 = 46 pints

2. Determine the difference in the amount of pints Emily has and the amount Josh has

48 pints - 46 pints = 2 pints

Answer:

Pinz

Step-by-step explanation:

So to set up the equation for Lanez:

y = 3.5 + 4.25x

Next we compare the prices for both overall by plugging 6 games in as x:

Lanez:

y = 3.5 + 4.25(6)

y = 3.5 + 25.5

y = 29

Pinz:

y = 3.75 + 4(6)

y = 3.75 + 24

y = 27.75

29>27.75

Lanez is more expensive with it costing $29 for a night as opposed to the $27.75 one would pay to play at Pinz.

Answer:

12, 21, 30, 39, 48, 57, 66, 75, 84.  

Ninth term is 84.

Step-by-step explanation:

The rule for this sequence is "add 9".

So, using this rule, we can do......

12, 21, 30, 39, 48, 57, 66, 75, 84.

Remember to add 9 each time!

Best of luck :3

A cone has a diameter of 12 centimeters and a height of 9 centimeters. The volume of the cone would be 2034.72 cubic cm.

Suppose that the radius of considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

The right circular cone is the cone in which the line joining the peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

A cone has a diameter of 12 centimeters and a height of 9 centimeters.

Radius = 12/2 = 6cm

Height h = 9 cm

The volume of the cone

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

[tex]V = \dfrac{1}{3} \times 3.14 \times 6^3 \times 9\: \rm unit^3\\\\V = 3.14 \times 648\\\\V = 2034.72 cm^{3}[/tex]

Hence, The volume of the cone would be 2034.72 cubic cm.

Learn more about volume of cone here:

https://brainly.com/question/26093363

#SPJ2

Answer:

8

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

The factors of 48 are 1,2,3,4,6,8,12,16,24,48;

The factors of 96 are 1,2,3,4,6,8,12,16,24,32,48,96

Answer:

D infintely many

Step-by-step explanation:

These equations have the same slope and same y-intercept making them the same exact line/equation

Answer:

72 and 108

Step-by-step explanation:

540/30= 18 *4 = 72

and

810/30= 27*4=108

Answer:

121

Step-by-step explanation:

Number of sides = n = 7

Sum of all the interior angles = (n -2)*180 = (7-2) *180

                                                = 5 *180

                                                = 900

x +  125 + 119 +117 +145 + 133 + 140 = 900

x + 779 = 900

x = 900 - 779

x = 121

Answer:

x = 121°

Step-by-step explanation:

The formula to find the sum of interior angles of a polygon is:

180 ( n - 2 )

Here,

n ⇒ number of sides ⇒ 7

First, let us find the sum of the interior angles of the polygon.

180 ( n - 2 )

180 × ( 7 - 2 )

180 × 5

900°.

Accordingly, let us make an expression to find the value of x.

145 + 133 + 140 + 125 + 119 + 117 + x = 900

Let us solve for x now.

779 + x = 900

Subtract 779 from both sides.

x = 900 - 779

x = 121

For the whole numbers:

24

26

23

25

21

46

63

57

75

91

1. 24 and 23.8

2. 26 and 25.7

3. 23 and 22.8

4. 25 and 24.8

5. 21 and 20.9

6. 46 and 46.3

7. 64 and 63.7

8. 56 and 56.5

9. 75 and 74.6

10. 91 and 90.7

When rounding, whether it's a whole number or a decimal, you would round up if the number next to it is 5 and up. You wouldn't change the number next to it if it's below 5.

If you have any further question, please reach out to me :)

Answer:

2 mugs

Step-by-step explanation:

He made 2/3rds quarts of hot chocolate, and needs to fill 1/3 quart mugs.

2/3 ÷ 1/3 = 2

Answer:

0=0 or as known as infinite solution

Step-by-step explanation:

when answering a type of question there are 3 steps

1) Distribute: 3(6x+8)=24+18x

3 x 6x= 18x 3 x 8= 24

18x +24 = 24 + 18x

2) Subtract 24 from both sides of the equation:

18x + 24 = 24 + 18x

-24 -24

18x + 0 = 0 + 18x

3) Subtract 18x from both sides to set apart (x) : 18x = 18x

-18x -18x = 0 = 0

Answer:

20  8 12 10

Step-by-step explanation:

Answer:

for 5. the answer is 15.

for 6. the answer is 8

Step-by-step explanation

hope this helped u again!!!!!!!!!!!!!!!!!!!!!!

Answer:

Sorry I’m only in 8th grade and can’t figure it out

Step-by-step explanation:

Answer:

32 students are in the class.

Step-by-step explanation:

8 * 4 = 32

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

32

Step-by-step explanation:

8 multiplied by 4

Answer:linear

Step-by-step explanation:

Answer: Linear

Step-by-step explanation:

Answer:

Step-by-step explanation:

How many people used the public pool altogether? There isn't enough info

Anyways,

You would write two equations and solve using substitution / elimination / graphing

one equation is:

1.5x + 2.25y = 1258.5

(x is children, y is adults)

Answer:

158

Step-by-step explanation:

Answer:212.4

Step-by-step explanation:

Opposite/hypotenuse

Sin23=83/x

Multiply x to both sides to cancel out the x under 83

You get xsin23=83

Then divide sin23 to both sides

X=83/sin23

X=212.4

Answer:

23.41cm

Step-by-step explanation:

Using Pythagoras theorem

a²+b² = c²

Where a and b are sides of the triangle and c is the Hypotenuse.

If we substitute the values

B= 8 cm

A= 22 cm

22²+8² = c²

484 + 64= c²

√548 = c

C= 23.41

Hence, length AB is 23.41cm

CHECK THE ATTACHMENT

Answer:

-42-2i

Step-by-step explanation:

Answer:

-128

Step-by-step explanation:

(-2)^2  *  (-2)^5 <---

First, add the exponents

(-2)^7<----

If you evaluate this you will get

-128