How to find distance on a triangle like the diagonal part with the Phyhagorean Theorem?​

Answer:

16 boxes will be needed for 122 books.

Step-by-step explanation:

Given that,

Each box can hold 8 books.

We need to find the number of boxes needed for 122 books. It can be calculated as follows :

[tex]\dfrac{122}{8}[/tex] = 15.25

It means 15 boxes can be filled and 16 boxes will be needed for 122 books.

Answer: great adventure theme park is more expensive

Step-by-step explanation:

Answer:

[tex]Solution,\\PQ = \sqrt{(1-3)^2+(3-1)^2} = \sqrt{2^2+2^2} = \sqrt{8} = 2\sqrt{2} \\P'Q' = \sqrt{(3-9)^2+(9-3)^2} = \sqrt{6^2+6^2} = \sqrt{72} = 6\sqrt{2}\\Also,\\RQ = \sqrt{(1-3)^2+(1-1)^2} = \sqrt{2^2} = 2\\R'Q' = \sqrt{(3-9)^2+(3-3)^2} = \sqrt{6^2} =6\\Again,\\PR = \sqrt{(1-1)^2+(3-1)^2} = \sqrt{2^2}=2\\P'R' = \sqrt{(3-3)^2+(9-3)^2} = \sqrt{6^2} = 6\\Here, P'R' = 3PR, P'Q'=3PQ ~and~ Q'R'=3RQ~\\In~other~words~each~side~of~triangle~P'Q'R' ~is~three~times~the~length~of~triangle~PQR.\\[/tex][tex]So,~the~algebraic~rule~of~diliation(enlargement)~is~(x,y)----(3x,3y)[/tex]

If my answer did not help you, comment below but please don't delete it.

Using Pythagoras Theorem,

(12)^2+ (a)^2= (13)^2

144+a^2= 169

a^2= 169-144

a^2= 25

a= √25

a= 5mm

Hope it helps you.

Responder:

x = 4.48

y = 4.86

z = -1.04

Explicación paso a paso:

Dadas las ecuaciones simultáneas;

6X + 8Y - 4Z = 5 .... 1

1X + 2Y + 5Z = 9 ... 2

9X - 3Y + 3Z = 6 .... 3

Primero necesitamos reducir el sistema de ecuaciones

Ecuación 1 * 1

Ecuación 2 * 4

__________

6X + 8Y - 4Z = 5

4X + 8Y + 20Z = 36

Restar

6x-4x - 4z-20z = 5-36

2x-24z = 31 ... 4

también

ecuación 2 * 3

ecuación 3 * 2

_______________

1X + 2Y + 5Z = 9 * 3

9X - 3Y + 3Z = 6 * 2

_______________

3x + 6y + 15z = 27

18x - 6 años + 6z = 12

Agregar

3x + 18x + 15z + 6z = 27 + 12

21x + 21z = 39 ...... 5

Resolviendo 4 y 5

2x-24z = 31 ... 4 * 21

21x + 21z = 39 ...... 5 * 2

____________

42x - 504z = 651

42x + 42z = 78

Sustraer

-504x - 42z = 651-78

-546z = 573

z = -573/546

z = -1.05

Sustituye z = -1.05 en 4

De 4;

2x-21z = 31

2x - 21 (-1,05) = 31

2x + 22,04 = 31

2x = 31-22.04

2x = 8,96

x = 8,96 / 2

x = 4,48

Obtener y

De 2:

X + 2Y + 5Z = 9

4.48 + 2y + 5 (-1.04) = 9

2 años + 4,48-5,2 = 9

2y = 9 + 0,72

2 años = 9,72

y = 9,72 / 2

y = 4,86

Por tanto, la solución (x, y, z) es (4.48, 4.86, -1.04)

Answer:

67°

Step-by-step explanation:

Corresponding angles are equal in parallel lines.

Here, ∠acb and ∠aed are corresponding angles for lines bc and de

hence ∠aed = ∠acb = 39

in triangle ade,

x + 74 + 39 = 180 (angle sum property of a triangle)

x = 67°

Answer:

(3,-4)

Step-by-step explanation:

Yaaaaaaaaaaa a a a

Answer:

(3,-4)

Step-by-step explanation:

x axis goes first y axis second

(a) List all the possible outcomes

A dice has 6 sides, ranging from numbers 1 to 6.

As such, the possible outcome for 1 dice is 1, 2, 3, 4, 5 and 6.

Since 2 dice are used, the possible outcome increases, ranging from 2 to 12.

Working:

1 + 1 = 2 (MIN)

6 + 6 = 12 (MAX)

Therefore, the possible outcomes is from 2 to 12.

(b) Find the probability of getting an even number as a score

Total number of score = 11

Total number of even score = 6

P (even number) = 6 / 11

I believe this should be the correct answer... seems logical to me. HAHA. Anyway, do let me know if I am correct or have any queries :)

Answer:

h=8

Step-by-step explanation:

h = -16t^2 + 20t + 32

h = -16(2)^2 + 20(2) + 32

h = -16(4) + 40 + 32

h = -64 + 72

h = 8

Answer:

2 seconds

Step-by-step explanation:

i got it right, no explanation <3

Answer:

The exponential function is [tex]A(t) = 1000(1.004)^{12t}[/tex].

You will have $1,100.55 in the account after 2 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.

Deposit $1000 in a savings account that pays 4.8% interest compounded monthly.

This means that [tex]P = 1000, r = 0.048, n = 12[/tex]. So

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

[tex]A(t) = 1000(1 + \frac{0.048}{12})^{12t}[/tex]

[tex]A(t) = 1000(1 + 0.004)^{12t}[/tex]

[tex]A(t) = 1000(1.004)^{12t}[/tex]

This is the exponential function

How much will you have in your account after 2 years?

This is A(2). So

[tex]A(2) = 1000(1.004)^{24} = 1100.55[/tex]

You will have $1,100.55 in the account after 2 years.

Answer:

one inch on the plan represents 2.3 feet in real life

Step-by-step explanation:

Set up a proportion

[tex]\frac{4}{9.2} \\[/tex]=[tex]\frac{1}{x}[/tex]

[tex]4x=9.2[/tex]

[tex]x=2.3[/tex]

Answer:

Step-by-step explanation:

Answer:

its 1,645.32

Step-by-step explanation:

search one twelfth of 3,478.50, then one twelfth of 1,186 and add those answers with 1,645.32

Answer:

B

Step-by-step explanation:

(2.5,0)

Answer:

159.82

Step-by-step explanation:

262          100              let unknown be "x"

x                61

262 x 61 = 100x

15982= 100x

15982/100 = x

x= 159.82

Answer:

It is between B and C but what I would choose is C.

The radius, area and circumference of the circle is invariant properties of the circle. Option a, c and d to be chosen.

Properties to be determine that would not change after the rotation of circle.

Circle is locus of the point whose distance from the fixed points i.e. center is fixed.

Here, circle has unit radius and center at origin. If the circle is rotated along the point any where in the space the propertied that would be fixed is its radius, area  and circumference.

Thus, the radius, area and circumference of the circle is invariant properties of the circle.

Learn more about circle here:
https://brainly.com/question/11833983

#SPJ2

Answer:

This would be a, b, and d.

Step-by-step explanation:

When graphed, the slope line of each of these would look like a straight vertical line, meaning their slope would be undefined. There has to be a change in x to create a defined slope.

Answer:

the probability of a rating that is between 200 and 275 is 0.4332

Step-by-step explanation:

Given the data in the question;

if an applicant is randomly selected, the probability of a rating that is between 200 and 275

mean μ = 200

standard deviation σ = 50

P( 200 < X < 275 ) = P( X-μ / σ  < x-μ / σ <  X-μ / σ )

P( 200 < X < 275 ) = P( 200-200 / 50  < x-μ / σ <  275-200 / 50 )

= P( 0/50 < Z <  75/50 )

= P( 0.00 < Z < 1.50 )

P(Z < 1.50) - P(Z < 0.0)

from the standard normal table

P(Z < 1.50) = 0.9332

P(Z < 0.0) = 0.5000

so

P( 200 < X < 275 ) = 0.9332 - 0.5000

P( 200 < X < 275 ) = 0.4332

Therefore, the probability of a rating that is between 200 and 275 is 0.4332

Answer:

Question 3

C. [tex] y-9 =1/2(x-1)[/tex]

Question 4

D. [tex] y+5 =3(x+2)[/tex]

Step-by-step explanation:

Question 3:

Equation of line in point slope form is given as:

[tex] y-y_1 =m(x-x_1)[/tex]

Plug m = 1/2, [tex] x_1 = 1, \:y_1 = 9 [/tex] in the above equation, we find:

[tex] y-9 =1/2(x-1)[/tex]

This is the required equation of the line.

Question 4:

Equation of line in point slope form is given as:

[tex] y-y_1 =m(x-x_1)[/tex]

Plug m = 3, [tex] x_1 = - 2, \:y_1 = - 5[/tex] in the above equation, we find:

[tex] y-(-5) =3[x-(-2)][/tex]

[tex] y+5 =3(x+2)[/tex]

This is the required equation of the line.

Answer:

c, and b.

Step-by-step explanation:

because it's the same as the ordered pair.

Answer:

The first choice is the right answer.

Step-by-step explanation:

Y = 3x+7

First choice

y = 3(0) + 7 = 7

y = 3(1) + 7 = 10

y = 3(2) + 7 = 13

second choice

y = 3(7) + 7 = 28. output on table shows 0

third choice

y = 3(0) + 7 = 7

y = 3(1) + 7 = 10 doesn't work as y output in third choice says 8

fourth choice.

y = 3(7) + 7 = 28 output on table shows 0

Answer:

it is option A hope it helps

Answer:

706.5 cm²

Step-by-step explanation:

Surface area of the open cylinder with only one base = surface area of cylinder - area of one of the base

= 2πr(h + r) - πr²

Where,

r = 9 cm

h = 8 cm

π = 3.14

Plug in the values into the equation

Area of the open cylinder with one base = 2*3.14*9(8 + 9) - 3.14*9²

= 56.52(17) - 254.34

= 960.84 - 254.34

= 706.5 cm²

Answer:afvStep-by-step explanation: