Triangle ABC will be translated right 3 units and down 5 units to create triangle A'B'C'. What are the coordinates of B'?

Answer:

It's a rhombus (if you can check more than one answer, it's also a parallelogram).

Step-by-step explanation:

A rhombus is a flat shape with 4 straight sides that are all equal length.

Also opposite sides are parallel and opposite angles are equal.

It is a type of parallelogram.

Answer:

It's a rhombus

Step-by-step explanation:

because all the 4 sides are equal

And it's like a square that it's top has been pushed

Step-by-step explanation:

at first solve first triangle with Pythagorean solving witch it c²=a²+b²

you have to change a bit so it will be c²-b²=a²

you start with 8 and 10 triangle and then you get line which is in the middle and yo udo just the same with triangle 8 and the solved side and you get x in the second triangle you have to use c²-a²=b²

Answer:

1. $950

2. 80

Step-by-step explanation:

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {Your\:answer\:is\:59.}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

1. My number has two digits.

2. Double my number is less than 150.

3. I am not divisible by 12.

4. My digits are different from each other.

5. The second digit in my number is divisible by an odd number.

6. My first digit is less than my second digit.

7. My digits add up to 14.

Therefore, the required number is [tex]\sf\pink{59}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

59

Step-by-step explanation:

two digits, 59=118, unable to divide by twelve since its an odd number, 9÷3=3, 5<9, 5+9=14

Answer:

b

Step-by-step explanation:

this because both VCSs were recording on the same time hence Butch will have two copies of record and the A vcr having an Extra of what B vcr will

[tex]\boxed{ \underline{ \bf \: Categorical}} \sf \: data \: set \: is \: the \: data \: set \\ \sf \: that \: deals \: with \: only \: non \: numerical \: values.[/tex]

Optoion C. Categorial data set is the right answer of the question given.

RaonbowSalt2222

9514 1404 393

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships.

  Sin = Opposite/Hypotenuse   ⇒   sin(B) = 12/13

  Cos = Adjacent/Hypotenuse   ⇒   cos(B) = 5/13

  Tan = Opposite/Adjacent   ⇒   tan(B) = 12/5

Answer:

-6/7

Step-by-step explanation:

If we have two points, we can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 4 - -2)/( -5 -2)

   = ( 4+2) /(-5-2)

    = 6/-7

   = -6/7

Answer:

x=12 .  

Step-by-step explanation:

See image below:)

Rate of change = RΔ = (y2-y1)/(x2-x1) = Δy/Δx

(X1,Y1)(X2,Y2)

(1, 2) (2, 4)

RΔ = Δy/Δx

= (4-2)/(2-1)

RΔ = 2

(2, 4) (3, 8)

RΔ = (8-4)/(3-2)

RΔ = 4

(3, 8) (4, 16)

RΔ = (16-8)/(4-3)

RΔ = 8

Answer: Rachel gets a total of 2459 dollars to save each month.

Step-by-step explanation:

200+9+50+200+82=541

3000-541=2459

Answer:

The time required is of 17.53 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Find the time required for an investment of 7,000 dollars to grow to 14,000 dollars at an interest rate of 4% per year, compounded monthly.

This is t for which [tex]A(t) = 14000[/tex], considering [tex]P = 7000, r = 0.04, n = 12[/tex]. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]14000 = 7000(1 + \frac{0.04}{12})^{12t}[/tex]

[tex](1.0033)^{12t} = 2[/tex]

[tex]\log{(1.0033)^{12t}} = \log{2}[/tex]

[tex]12t\log{1.0033} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{12\log{1.0033}}[/tex]

[tex]t = 17.53[/tex]

The time required is of 17.53 years.

Step-by-step explanation:

[tex] \sqrt{53} [/tex]

Here,

2x+3x+5x = 180 (sum of all angles of triangle are equal to 180)

or, 10x = 180

or, x = 180/10

x = 18

Therefore, the value of x is 18.

Hope this solution may help you☺

Answer:

2x + 3x + 5x = 180(sum of all the interior angles of a triangle is 180° )

10x = 180°

x=180/10

x = 18°

Answer:

He is wrong.  

In my answer I found the complete volume of the pool and then what the volume would be 10 cm empty.  You probably only need to find the 10 cm emptied  to answer, just a heads up.  if you have any questions though let me know.

Step-by-step explanation:

To most easily figure out the volume of the empty pool I think it is easiest to break it up into four parts..

First break off that skinny end bit so it will have 1 m in height, 4 m in length and 5m in width.  Width is never going to shange because of how we are breaking this up, and the width is the distance from you into the paper, if that makes sense.  Basically not up and down or left and right.

Next another rectangular prism  from the right side with 2 height, 2m length and again 5m width.

Now you have a trapezoidal prism with one base of length 1m, another of base 2m and a height of length 4m.

To fond the volume of prisms you want to find the area of their bases then multiply it by their heights.  In this instance height is going to be the width again, and the bases are th parts facing us on the picture.

For a rectangular prism area of the base is easy, just multiply length by height.  a trapezoid is taking the two bases (b1 and b2) ading them together and dividing that sum by 2, THEN taking this new number and multiplying it by what would be the height of the trapezoid.  the trapezoid has its bases as two heights, and its height then would be the horizontal length of the pool.  Sorry if that is confusing.  Here are the three volumes though.

Rectangular 1: 4*1*5 = 20 m^3

Rectangular 2" 2*2*5 = 20m^3

Trapezoidal: = ([1+2]/2)*4*5 = 30 m^3

So total it is 70 m^3

The question then says each cubic meter can contain 1,000 liters of water.  70 m^3 then is 70,000 liters

The question also says there are three barrels of 20,000 liters each, so combined that's 60,000 liters.

Finally it wants to know if Sam is right saying if you dump all of the 60,000 liters into the pool the surface of the water will not reach the top of the pool by 10 cm.  60,000 is less than 70,000, but we don't know how much lower it is in cm.  

The trick here is to know that we are lowering a specific dimension of each prism to a certain amount to be lower by 10cm

In the 4x1x5 rectangular prism the 1m side is lowering.

In the 2x2x5 rectangular prism  the 2m side representing the vertical length is getting some amount taken away.

int he trapezoidal prism both of the "bases" are getting an amount taken.

So the trick here is to set up the math again, except this time with 10 cm less being subtracted from each part, then solving t and see if it gets us the 60,000 liters or 60 m^3.  Since we are measurng in meters, 10 cm less is the same a subtracting .1, or if you prefer subtracting a decimeter.

4*1*5 becomes 4(.9)5 = 18

2*2*5 becomes 2(1.9)5 = 19

Trapezoidal: = ([1+2]/2)*4*5 becomes ([(.9)+(1.9)]/2)*4*5 = 28

Adding this all together gets us 65 or 65,000 liters.  This means that if the pool is filled 10 cm from the top the volume would be 65,000 liters, still more than if the three tankers are emptied completely into it.  

You could have probably just done the second part, where we sbtracted 10 cm from each of the dimensions, but I am going to leave it all since I wrote it.

9514 1404 393

Answer:

  Sam is not correct.

Step-by-step explanation:

As shown in the attachment, the "base" (front face) of this prism can be divided into a rectangle and a trapezoid. The relevant area formulas are ...

  A = LW . . . . area of a rectangle of length L and width W

  A = 1/2(b1 +b2)h . . . . area with parallel bases b1 and b2 and height h

__

The rectangle portion of the "base" of the pool has area ...

  A = (10 m)(1 m) = 10 m²

The trapezoid portion of the "base" of the pool has area ...

  A = 1/2(6 m +2 m)(1 m) = 4 m²

Then the "base" area is ...

  B = 10 m² +4 m² = 14 m²

__

The volume of the prism is given by ...

  V = Bh . . . . where B is the base area and h is the distance between bases

  V = (14 m²)(5 m) = 70 m³

We are told that 1 m³ = 1000 L and that 3 tankers of 20,000 L each are emptied into the pool. That leaves an unfilled volume of ...

  70 m³ -3×(20 m³) = 10 m³ . . . . unfilled volume

__

The surface area of the pool is ...

  A = LW = (10 m)(5 m) = 50 m²

So the unfilled volume has a height of ...

  V = Bh

  10 m³ = (50 m²)h

  h = (10/50) m = 20/100 m = 20 cm . . . . . the height of the unfilled space

The water in the pool will be 20 cm below the top, not 10 cm. Sam is not correct.

6+T=1

Try T=-5

6+(-5) = 1

Correct, So...

T=-5

Answer:

100000+45000+500+60+7

Answer:

Fraction of money spent on calculator = 2/5

Find the fraction of money left:

1 - 2/5 = 3/5

Find the fraction of money spent on a book:

4/7 x 3/5 = 12/35

Answer: She spent 12/35 of the money on a book

------------------------------------------------------------------------------------------------

To find the fraction of saving:

Fraction of money saved = 1 - calculator - book

Fraction of money saved = 1 - 2/5 - 12/35 = 9/35

Fraction of the money saved = 9/35

Step-by-step explanation:

Answer:

2.04 miles per hour

Step-by-step explanation:

Given

Noel

[tex]n_1 =6miles[/tex]

[tex]r_1 = 2mph[/tex]

Casey

[tex]c_1 = 8miles[/tex]

[tex]r_2 =1mph[/tex]

Required

The rate at which the distance increases

Their movement forms a right triangle and the distance between them is the hypotenuse.

At [tex]n_1 =6miles[/tex] and [tex]c_1 = 8miles[/tex]

The distance between them is:

[tex]d_1 = \sqrt{n_1^2 + c_1^2}[/tex]

[tex]d_1 = \sqrt{6^2 + 8^2}[/tex]

[tex]d_1 = \sqrt{100}[/tex]

[tex]d_1 = 10miles[/tex]

After 1 hour, their new position is:

New = Old + Rate * Time

[tex]n_2 = n_1 + r_1 * 1[/tex]

[tex]n_2 = 6 + 2 * 1 = 8[/tex]

And:

[tex]c_2 = c_1 + r_2 * 1[/tex]

[tex]c_2 = 8 + 1 * 1 = 9[/tex]

So, the distance between them is now:

[tex]d_2 = \sqrt{n_2^2 + c_2^2}[/tex]

[tex]d_2 = \sqrt{8^2 + 9^2}[/tex]

[tex]d_2 = \sqrt{145}[/tex]

[tex]d_2 = 12.04[/tex]

The rate of change is:

[tex]\triangle d = d_2 -d_1[/tex]

[tex]\triangle d = 12.04 -10[/tex]

[tex]\triangle d = 2.04[/tex]

Answer:

15

Step-by-step explanation:

2/3 of 30 is 20, so 1/2 of 30 is 15

the answer is in the image above

While

Answer:

21

Step-by-step explanation:

21

21

21

Answer:

Simple addition the answer is 21.

9514 1404 393

Answer:

  (c)  [-2, 7]

Step-by-step explanation:

We can solve the inequality for an expression in x.

  2|5 -2x| -3 ≤ 15

  2|5 -2x| ≤ 18 . . . . . . add 3

 |5 -2x| ≤ 9 . . . . . . . . divide by 2

We prefer a positive coefficient of x, so we'll multiply inside the absolute value by -1. This does not change the absolute value. (|-1| = |1|, for example)

  |2x -5| ≤ 9

Now, we can "unfold" this to get the compound inequality ...

  -9 ≤ 2x -5 ≤ 9

  -4 ≤ 2x ≤ 14 . . . . . add 5

  -2 ≤ x ≤ 7 . . . . . . . divide by 2

The solution interval is [-2, 7].

__

The graph shows the equation of the given form f(x) ≤ c converted to the form f(x)-c ≤ 0. The graphing calculator highlights x-intercepts easily, so we take advantage of that to show the solution interval bounds. The graph is less than zero between the bounds.

Step-by-step explanation:

Correct option is

C

0≤r<b

If r must satisfy0≤r<b

Proof,

..,a−3b,a−2b,a−b,a,a+b,a+2b,a+3b,..

clearly it is an arithmetic progression with common difference b and it extends infinitely in both directions.

Let r be the smallest non-negative term of this arithmetic progression.Then,there exists a non-negative integer q such that,

a−bq=r

=>a=bq+r

As,r is the smallest non-negative integer satisfying the result.Therefore, 0≤r≤b

Thus, we have

a=bq1+r1,   0≤r1≤b

Answer:

y+1=7(x+4) for first one

y-4=5(x-0) for second one

Step-by-step explanation:

point slope form for both of those questions.

the formula for point slope form is

y-y1(y coordinate) = slope(x+x2(x coordinate))

y+1=7(x+4)

Second question:

-1,-1 to 0,4

change in x +1, change in y +5.

5/1 = 5

slope is 5

y-4=5(x-0)

Answer:

70% is Rs 84

just use the formula

x% of 120= 84

and you will get the answer