what is the measure of ABC?

Answer:

The length of the ladder = 17 meters(17m)

Step-by-step explanation:

The formula to find the Length of the ladder is given as:

L² = x² + y²

Where L = Length of the Ladder

Let x = 8m

We solve for y

From the above question, we are told that:

The top of a ladder slides down a vertical wall at a rate of 0.32 m/s.

Hence: (-0.32)y = -0.32y

At the moment when the bottom of the ladder is 8 m from the wall, it slides away from the wall at a rate of 0.6 m/s. Hence:

8(0.6) - 0.32y = 0

4.8 = 0.32y

y = 4.8/0.32

y = 15m

Hence:

L² = x² + y²

L² = 8² + 15²

L² = 64 + 225

L² = 289

Square root both sides

L = √289

L = 17m

The length of the ladder = 17 meters(17m)

Answer:

sorry i wish i could help but i can't understand that

Step-by-step explanation:

Answer:

y=-3x+1

Step-by-step explanation:

your welcome

Step-by-step explanation:

log(7x³/z) = log(7) + log(x³) - log(z).

3log(5) + 2log(x) - log(25) = log(125) + log(x²) - log(25) = log(125x²/25) = log(5x²).

Answer:

is there any more details?

Step-by-step explanation:

Answer:

any more details please?

Answer:

$6,984.60 per year.

Step-by-step explanation:

Using a normal and very common budget, you should divide your monthly/annual salary into 3 main tiers, which are the following

If we go by this budget then we would need to turn the 20% into a decimal by dividing it by 100 and then multiply that decimal by the person's annual salary.

20% / 100 = 0.20

$34,923 * 0.20 = $6,984.60

Finally, we can see that the individual should be saving roughly $6,984.60 per year.

Answer:

The unit rate is 6.5mph or 6.5 miles per hour.

Step-by-step explanation:

22.75/3.5 = 6.5

Answer:

4/33 = 0.12121

Step-by-step explanation:

Answer:

8/66 reduced is 4/33

Step-by-step explanation:

Answer: T=7

Step-by-step explanation:

0t−15−7.5t=6−0.5t

2 Simplify  10t-15-7.5t10t−15−7.5t  to  2.5t-152.5t−15.

2.5t-15=6-0.5t2.5t−15=6−0.5t

3 Add 1515 to both sides.

2.5t=6-0.5t+152.5t=6−0.5t+15

4 Simplify  6-0.5t+156−0.5t+15  to  -0.5t+21−0.5t+21.

2.5t=-0.5t+212.5t=−0.5t+21

5 Add 0.5t0.5t to both sides.

2.5t+0.5t=212.5t+0.5t=21

6 Simplify  2.5t+0.5t2.5t+0.5t  to  3t3t.

3t=213t=21

7 Divide both sides by 33.

t=\frac{21}{3}t=

​3

​

​21

​​  

8 Simplify  \frac{21}{3}

​3

​

​21

​​   to  77.

t=7t=7

9514 1404 393

Answer:

  168

Step-by-step explanation:

Below are shown the 7 different kinds of arrangements that can be made. Each of these can be permuted into 24 different arrangements by assigning colors in a different order than the one used here:

  {1, 2, 3, 4} ⇒ {green, blue, red, yellow}

Then the total number of possible correct colorings is 7·24 = 168.

__

These colorings were found using a computer program that identified all 168 viable colorings, then eliminated permutations. It started by identifying ways to color 2 rows, then adding rows based on that.

_____

You'll notice that the last on the attached list most closely matches the one in the problem statement.

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-1, 10)

Point (5, 2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

its c!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

$84

Step-by-step explanation:

720x30=21600

21600/100=216

216=markdown (as a number instead of a percentage)

Now subtract that like this

720-216=504

504= sale price

Then do this

504-420=84

Therefore it is $84

Hope you understand!

Answer:

11/12

Decimal form: 0.916 (the 6 is continuous)

Step-by-step explanation:

Answer:

8.25 ft & 6.75 ft

Step-by-step explanation:

So we know it's split into two pieces, right? So normally that would be 7.5 ft each. But one is 1.5 ft longer than the other. So as a result, I divided that by 2 to add 0.75 ft to piece one and subtract 0.75 ft from piece two's length. So, the longer piece is 8.25 ft, and the shorter one is 6.75 ft.

Answer:

Solution given:

total length=15foot

splits into 2 pieces

let shorter pieces be x.

we have longer pieces =2x-1.5ft

Now

total length=x+2x-1.5ft

15 ft =3x-1.5ft

15+1.5=3x

x=[tex] \frac{16.5}{3} [/tex]=5.5ft

Now

shorter length: 5.5ft.

longer length:2*5.5-1.5=9.5ft.

Answer:

6x+12

Step-by-step explanation:

5 + 2x + 7 + 4x

2x + 4x = 6x

5 + 7 = 12

6x + 12

Answer:

-(m+2)(m^2+16)

Step-by-step explanation:

Answer:

[tex]B.\ 14.4\ units[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Coordinates\ of\ Endpoint\ O=x_1,y_1=(-2,9)\\Coordinates\ of\ Endpoint\ A=x_2,y_2=(6,-3)\\As\ we\ know\ that,\\The\ length\ of\ line\ segment\ OA\ or\ u\ is\ the\ distance\ between\ its\ endpoints\\ O\ and\ A.\\Hence,\\The\ linear\ distance(d)\ between\ any\ two\ points\ on\ a\ cartesian\ plane,\\ is\ given\ by\ the\ Formula:\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Hence\ here,\\[/tex]

[tex]In\ order\ to\ find\ the\ distance\ between\ O\ and\ A,\ we\ just\ need\ to\ plug\ in\\ its\ respective\ coordinates\ in\ the\ Formula\ above.\\Hence,\\Distance\ between\ O\ and\ A= \sqrt{(6-(-2))^2+(-3-(9))^2} \\Distance\ between\ O\ and\ A= \sqrt{(6+2)^2+(-3-9)^2}\\Distance\ between\ O\ and\ A= \sqrt{(8)^2+(-12)^2}\\Distance\ between\ O\ and\ A= \sqrt{64+144}\\Distance\ between\ O\ and\ A= \sqrt{208}\\Distance\ between\ O\ and\ A \approx 14.42\ or\ 14.4\ units[/tex]

Answer:

33

Step-by-step explanation:

The area is 22, and to find area you do l*w

so 22/2=11

so 11*3=33

your unknown number is 33

Ummmm its not clear so

Median = 5

Mean = 5.4444444444444

Mode: 3

Range = 9

Minimum =   1

Maximum =  10

How to find Median:

Arrange your numbers in numerical order.  Then the second step is to have an odd number, divide by 2 and round up to get the position of the median number.  The last step is to find the even number and if you have it, divide it by 2.

Answer: 5

Hope this helps.

Answer:

5 / 6

Step-by-step explanation:

Given that:

Probability that a dice rolled once will not land on 2

Probability = required outcome / Total possible outcomes

Total possible outcomes = (1, 2, 3, 4, 5, 6)

Required outcome = 2

P(not land on 2) = 1 - p(land on 2)

P(land on 2) = 1/6

P(not land on 2) = 1 - 1/6

P(not land on 2) = 5/6

Answer:

6 10

Step-by-step explanation:

Answer:

6, 10

Step-by-step explanation:

The first point is on 6, and ending at 10.

Answer: See explanation

Step-by-step explanation:

Your question isn't really clear but let me help.

For Maths test,

Point earned = 30

Total point = 43

Percentage = 30/43 × 100 = 69.77%

Social studies test

Point earned = 85.

Total point = 124

Percentage = 85/124 × 100 = 68.55%

From the above, we can see that Jake scored a higher percentage in the Maths test.

Answer:

Step-by-step explanation:

Answer:

First one is a withdraw and the second one is above sea level

Step-by-step explanation:

Answer:

The quantity best expressed as -3.2 is a withdrawal of $3.20 The quantity best expressed as +5.1 is 5.1 feet above sea level

Answer:

Thank you very much :3

Have a great day!

also 1 + 1 is 2

Answer:

yeah I like that your free points and thanks