The slope of the rafter is 15 m.Half the run of the rafter measure 12m.find the height of the ridge from the base

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{3x} }{\sqrt{x-8} } =3[/tex]

[tex]\sqrt{3x}=3\sqrt{x-8}[/tex]

[tex]\left(\sqrt{3x}\right)^2=\left(3\sqrt{x-8}\right)^2[/tex]

[tex]3x=9x-72[/tex]

[tex]3x-9x=-72[/tex]

[tex]-6x=-72[/tex]

[tex]x=12[/tex]

Answer:

[tex] \frac{ \sqrt{3x} }{ \sqrt{x - 8} } = 3[/tex]

[tex] \sqrt{3x} = 3 \sqrt{x - 8} [/tex]

[tex]3x = (3 \sqrt{x - 8} )^{2} [/tex]

[tex]3x = 9(x - 8)[/tex]

[tex]3x = 9x - 72[/tex]

3x - 9x = -72

-6x = -72

x = 12

Answer:

y=1/2*(x-4)^2+13

Step-by-step explanation:

Answer:

y=1/2*(x-4)^2+13

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

8x3

6x4

Answer:

24

Step-by-step explanation:

LCM is the Lowest Common Multiple

To find the LCM of 2 numbers, first list a few of the first multiples of each number:

8 = 8,16,24,32,40

6 = 6,12,18,24,30

Here, we notice that 24 is the first multiple that is common in both times tables. Thus, 24 is the LCM

hope this helps

Answer:

0.5

Step-by-step explanation:

If one part = 1/17

Then, 8 parts = 1/16 x 8 = 1/2

1/2/as a decimal is 0.5

Hope this helps

Answer:

The number sentence is false.

Step-by-step explanation:

The inequality given is

20 > 86 − ℎ

We are to substitute the value of h as 46 to see if the inequality is true or false.

20 > 86 - 46

20 > 40

Since 20 is not greater than 40, the number sentence is false.

Answer:

X =30/7

Step-by-step explanation:

The first way would be something like:

-7x + 10 = -20. The first thing we would do is to subtract 10 from both sides.

Therefore,

-7x+10-10=-20-10

Simplified, we get

-7x=-30

Remove the negative symbols

7x =30

x=30/7

Second example:

10=7x - 20

Add 20 to both sides.

10+20=7x-20+20

Simplified,

30=7x

x = 30/7

Answer:

What is the solution?

✔ x = 30/7

Step-by-step explanation:

You can take this equation into two approaches.

#1 subtracting 4x from both sides:

-3x+10=4x-20 (subtract 4x from each side)

-7x+10=-20 (then subtract 10 from each side)

-7x=-30 (then divide by -7 to get x by itself)

x=30/7

#2 Add 3x to both sides:

-3x+10=4x-20 (Add 3x to both sides)

10=7x-20 (then add 20 to each side)

30=7x (divide both sides by 7)

30/7=x

Either way you do it you will get x=30/7 as your answer.

Answer:

h = 2a/b

Step-by-step explanation:

a = 1/2 bh

2*a = 2* 1/2 bh

2a = bh

2a/b = bh/b

2a/b = h

Answer:

Step-by-step explanation:

Just so you know, the answer is NOT B, as one person stated.

In order for a right triangle to be a right triangle, 2 things have to happen.  One is that it has a hypotenuse, which by definition, is the longest side in a right triangle. To test to see if that hypotenuse is actually a hypotenuse, the square of it has to be equal to the sum of the squares of the other 2 sides. Let's test a first.

Keeping in mind that the longest side has to be the hypotenuse, in a. our hypotenuse would have to be 17.  Using Pythagorean's Theorem to test:

[tex]8^2+15^2=17^2[/tex] and

64 + 225 = 289 and

289 = 289.  So a is a right triangle. Now for b:

[tex]20^2+21^2=29^2[/tex] and

400 + 441 = 841 and

841 = 841. So b is also a right triangle. Now for c:

[tex]9^2+16^2=18^2[/tex] and

81 + 256 = 324 and

337 = 324.  Obviously, 337 does not equal 324, so c is not a right triangle.

.  Obviously, 337 does not equal 324, so c is not a right triangle.

If it gets stuck in my head, then i listened to the song.

Answer:

[tex]7a^2b^2\left(a-2b\right)[/tex]

Step-by-step explanation:

[tex]7a^3b^2 - 14a^2b^3[/tex]

[tex]7a^2b^2(a)-7a^2b^2(-2b)[/tex]

[tex]=7a^2b^2\left(a-2b\right)[/tex]

The answer is 0.

please see the attached picture for full solution

hope it helps...

Good luck on your assignment

Answer:

Option (2).

Step-by-step explanation:

It is given in the question,

ΔLMN is a right triangle with base LM = 3a units

Hypotenuse MN = 5a

By applying Pythagoras theorem in ΔLMN,

MN² = LM² + NM²

(5a)² = (3a)² + MN²

25a² - 9a² = MN²

MN = √16a²

MN = 4a

Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).

Option (2) will be the answer.

Answer:

Step-by-step explanation:

Given the height of the ball modelled by the equation h(t)=16t²+84 after t secs. At the maximum height, the velocity of the ball is zero.

Velocity V is the change of rate of displacement.

V = dh/dt = 32t

0 = 32t

t = 0secs

at t = 0;

h(0) = 16(0)²+84

h(0) = 84feet

This shows that the maximum height of the ball is 84feet

Answer:

976 cm²

Step-by-step explanation:

25 x 10 x 2 = 500

14 x 10 = 140

14 x 24 = 336 ((14x24/2)x2)

500 + 140 + 336 = 976

Answer:

Step-by-step explanation:

power i guess

Answer:

Exponent, Power or Indices

Step-by-step explanation:

The number is called Exponent, Power or Indices

Answer:

5 x 2.5 = 12.5

8 x 2.5 = 20

answer: 28

Answer:5 x 2.5 = 12.5

8 x 2.5 = 20

Step-by-step explanation:mark me as brainest plsssssssssssssssssss

[tex]the \: right \: options \: are \\ option \: b \\ option \: c \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

D

Step-by-step explanation:

Its c, as x increases y increases and then decreases

Answer:

see explanation

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the initial value and d the common difference

Given

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 10 + (n - 1)3 ]

Then by comparison

2a₁ = 10 ( divide both sides by 2 )

a₁ = 4 ← initial value

and d = 3 ← common difference

Thus

[tex]S_{8}[/tex] = [tex]\frac{8}{2}[/tex] [ 10 + (7 × 3) ]

   = 4(10 + 21)

   = 4 × 31

   = 124

Answer:

125

Step-by-step explanation:

Answer: 43.5

Step-by-step explanation:

185/425

divide them, you should get 0.435

move it to the left 2 times and thats your answer

Answer:

The last one on the bottom right

Step-by-step explanation:

When we are trying to fit a line for a number of points, we can fix this line at several points on the graph. However, out of the several lines that we can fit, only one of these lines would work perfectly and it is called the line of best fit.

The reason why it is called the line of best fit is that it is drawn in a manner in which it leaves equal number of points above it as below it.

Supposed we have 15 points for our graph with the line of the slope passing thorough 5, the line of best fit in this case would leave 5 points above and another 5 below the line.

Leaving 6 and 4 is also manageable, but in case where 3 and 7 are left above and below the line, then it becomes a problem

Thus, out of all the representations we have, the one on the bottom right best works

Answer:

Row related frequencies

                 twins in family history        Twins not in           Total

                                                             family history

 Twins born   8 / 34  = 0.2353                26 / 34= 0.7647     1                                                          

single child born :125 / 966 = 0.1294    841 / 966 = 0.8706   1                  

Step-by-step explanation:

Given table         twins in                  twins not in

                           family history             family history      total

Twins born                      8                          26                    34

single child born            125                       841                    966

 Total                              133                      867                   1000

Row related frequencies

Given table       twins in family history     Twins not in     Total      

                                                                        family history  

Twins born     8 / 34  = 0.2353      26 / 34= 0.7647                  1                                              

single child born 125 / 966 = 0.1294    841 / 966 = 0.8706      1                

Total                            0.3647                                1.6353                  

Answer:

[tex]n = - \frac{21}{12} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

-4/7

Step-by-step explanation:

2/3(1+n)= -1/2n    ======= × 6 both sides

4(1+n)= -3n

4+4n= -3n

-7n=4

n= -4/7

Answer:

2 people can have 18 cupcakes each

3 people can have 12 cupcakes each

4 people can have 9 cupcakes each

9 people can have 4 cupcakes each

Step-by-step explanation:

Answer: 1,2,3,4,6,9,12,18,36

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

everything under x= 2 is x+1 meaning x<2 and at 2 it starts x+2

Answer:

The correct option is b.

Step-by-step explanation:

x + 1 ...........................x ≤ 5

x+2 .............................x ≥ 2

Answer:

It is called a zero angle.

A 180 degree angle is called a straight angle.

A ninety degree angle is called a right angle.

Answer:

skewed left

Step-by-step explanation:

this is because most of the data set is on the right side

Answer:

C

Step-by-step explanation:

The bars are definitely not equal (so a isn't the answer), neither is it symmetrical (so d isn't the answer). Most of the data is on the right, so it's skewed left

Answer:

It’s the third option

Step-by-step explanation:

I took the quiz

Step-by-step explanation:

Desmos Graphing Calculator