Solve the problem.

A teacher is going to assign each student a 3-digit code using the digits 0 through 4. How many codes are possible if no repetitions are allowed?
A.) 60
B.) 125
C.) 24
D.) 64

Answer:

[tex]17\sqrt{2}[/tex] ft

Step-by-step explanation:

take angle b as reference angle

using sin rule

sin 45 = opposite / hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex] = 17 / BC

BC =17 / [tex]\frac{1}{\sqrt{2} }[/tex]

BC = 17 * [tex]\sqrt{2}[/tex]

BC =  [tex]17\sqrt{2}[/tex] ft

Answer:

BC = 17[tex]\sqrt{2}[/tex] ft

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{17}{BC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

BC = 17[tex]\sqrt{2}[/tex] ft

Answer:

Step-by-step explanation:

use formula

A(x,y)=A'(-x,-y)

D(-4,-2)=D'(4,2)

Answer:

No, the volume will be incresed by 8 times (2x2x2=8)

Step-by-step explanation:

[tex]Volume=3*5*9=135 in^{3} \\increased -Volume=6*10*18=1080 in^{3}\\\frac{1080}{135} =8[/tex]

Answer:

A, B, & D

Step-by-step explanation:

A. isosceles - 2 sides equal (actually) all sides are equal

B. equilateral - all sides equal and all angles are equal too

D acute - all angles are less than 90 degrees

Answer:

is there  a picture or something i cant understand

Step-by-step explanation:

Answer:

C. log(1/3)

Step-by-step explanation:

log a - log b = log(a/b)

Answer:

11

Step-by-step explanation:

To add fractions, find the LCD and then combine or Pemdas

Answer:

Your answer should be 1.5

Step-by-step explanation:

Can I get brainliest

Answer:

[tex]1 = {5}^{0} [/tex]

[tex]5 = {5}^{1} [/tex]

[tex]25 = {5}^{2} [/tex]

[tex]125 = {5}^{3} [/tex]

[tex]625 = {5}^{4} [/tex]

option A is correct, it starts with the power of zero (equals always one, see it as

[tex] \frac{5}{5} [/tex]

and it goes up to the power of 4

Letter D thanks for asking for help

Answer:

just sum up the 3 sides.

quick side note: I lost my previews writing bc I waited too long too post it :(

but long story short: you get the length of, say, AB by using pythagoras theorem.

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

do this with BC and CA too

the 2 is just the distance in x-direction and the 6 is just the distance in y-direction

and since a²+b²=c², we need to take the root to get the distance between 2 points

see screenshot for summing up the three distances. the part out of screen is written out above

the sum is 21.011 length units

hope it helps. have a nice day.

feel free to ask questions.

and maybe, if I'm feeling really nice and a lil bored, i leave greeting answers under yours to enable posters to give gives brainliests. if theres no 2and answer at least

Answer:

a² + 16a - 612 = 0

Step-by-step explanation:

Here is the complete question :

The width of an extra large rectangle poster is 8 inches more than half its length. The area of this poster is 306 square inches

Write an equation in one variable that could be used to find the number of inches in the dimensions of this poster.

Area of a rectangle = length x width

Let length = a

width = 8 + 1/2a

Area =  (8 + 1/2a) x a

306 =  (8 + 1/2a) x a

multiply both sides of the equation by 2

612 = 16a + a²

a² + 16a - 612 = 0

the dimensions of the poster can be determined using quadratic formula

Answer:

yes..

Step-by-step explanation:

Answer:

Part A

positive=132

negative=220

Part B=88

Step-by-step explanation:

Part A

3:5

positive: negative

3+5=8

352/8=44

3x44=132 positive or 3/8 of 352

5x44=220 negative 5/8 0f 352

Part B

220

-132

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

     88

Step-by-step explanation:

3×‐9×-5y-2y =0-7

-6x-7y =-7

Answer:

[tex]x = \frac{9}{13} \ , \ y = - \frac{5}{13}[/tex]

Step-by-step explanation:

                         3x - 5y = 4 ----------- ( 1 )

                         9x - 2y = 7 -----------( 2 )

                 ______________________

( 1 ) x 9  =>       27x - 45y = 36   ----------------- ( 3 )

( 2) x 3 =>        27x - 6y = 21     -------------------( 4 )

                  _____________________

( 3 )  =>          27x - 45y = 36

- ( 4 ) =>         -27x + 6y = - 21

                   ____________________

( 3 ) - ( 4 ) =>     0x - 39y = 15

                            -39y = 15

                                [tex]y = \frac{15}{-39} = -\frac{5}{13}[/tex]

Substitute y in ( 1 ) :

                     [tex]3x - 5y = 4\\\\3x - ( 5 \times -\frac{5}{13}) = 4\\\\3x + \frac{25}{13} = 4\\\\3x = 4 - \frac{25}{13}\\\\3x = \frac{52 - 25}{13}\\\\3x = \frac{27}{13}\\\\x = \frac{27}{13 \times 3}\\\\x= \frac{9}{13}[/tex]                        

Answer:

25

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

Okay so as you can see there is an x shape and whenever you have that it means they are verticle angles. So we can conclude that 25 is verticle to x and so x is equal to 25.

Answer:

answer:

(x+34)+(2X+2)=180

3X+36=180

X=72

Step-by-step explanation:

Answer:

Your answer for the above equation is D

Answer:

1- c=(-2,1) , R =9

2-c=(2,-1) , R=3

3-c=(-2,-1) , R=4

4-c=(2,1) , R=16

5-c=(0,0) , R=2

Answer:

-14

Step-by-step explanation:

2a + 4b

Let a = 5 and b = -6

2*5 +4(-6)

Multiply

10 - 24

Subtract

-14

Answer:

-14

Step-by-step explanation:

2a + 4b

= 2(5) + 4(-6)

= 10 -24

= -14

Answer:

60%

Step-by-step explanation:

Fruit = 10+15 = 25

Percent oranges = oranges / fruit

                             = 15/25 = .6 = 60%

Answer:

3

Step-by-step explanation:

-17 = -2y + 13 - 8y

-17 = -10y + 13

-30 = -10y

3 = y

y = 3

Answer:

y = 3

Step-by-step explanation:

- 17 = - 2y + 13 - 8y

- 10y + 13 = - 17

- 10y + 13 - 13 = - 17 - 13

- 10y = - 30

- 10y ÷ - 10 = - 30 ÷ - 10

y = 3

Answer:

Domain:  (-infinity, infinity)

Range:  [0, infinity)

Step-by-step explanation:

y = 4x^2 is a quadratic function whose parabolic graph goes through (0, 0) and opens upward.  (0, 0) is both the vertex and the minimum of this function and graph.  Here x can take on any value, but y is limited to [0, infinity).

Answer:

300+12x = 450

or

B. 12x+300 = 450

Answer:

C) 2+4^4x

Step-by-step explanation:

A) 2^(4x+2) = 2^4x • 2² = 16^x • 4

B) 4 • 16^x = 16^x • 4 (already done)

D) 2^2 • 4^x (over) 4^-x

= 4 • 4^x • 4^x = 16^x • 4

E) 4^(2x+1) = 4^2x • 4¹ = 16^x • 4

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Given a vector < x, y > then its magnitude is

[tex]\sqrt{x^2+y^2}[/tex]

Given the directed line segment

P (0, 0 ) → Q (3, 2 ) then

PQ = q - p = (3, 2 ) - (0, 0 ) = < 3 - 0, 2 - 0 > = < 3 , 2 >

| PQ | = [tex]\sqrt{3^2+2^2}[/tex] = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]

Answer:

C. 9.9 in.

Step-by-step explanation:

Step-by-step explanation:

Alright, lets get started.

Area is given as 49 square inches.

The formula for area A =  

base is given as x

Height is given as x

Hence area is A

A =  

Multiplying 2 in both sides

Taking square root on both sides

hence the answer is x = 9.9 in   :  Answer

Hope it will help :)

The value of x is 9.9 in.

Solution:

The given image is a triangle.

Base of the triangle = x

Height of the triangle = x

Area of the triangle = 49 sq. in

To find the value of x:

Area of the triangle =  

Substitute the given values in the formula.

Multiply by 2 on both sides, we get

Taking square root on both sides, we get

⇒ x = 9.9 in

Hence the value of x is 9.9 in.

Area of the circular sidewalk around flowerbed is 207.24 m² .

Area is the amount of space occupied by a two-dimensional shape. That is, it is a quantity that measures the number of unit squares that cover the surface of a closed figure. Standard area unit is square unit.

Given,

Diameter of flowerbed = 19m

radius = diameter/2 = 19/2 = 9.5 m

Area of flower bed A

= πr²

= 3.14(9.5)²

= 3.14(90.25)

= 283.385 m²

width of the sidewalk = 3m

radius of flower bed with sidewalk = 9.5 + 3 = 12.5m

Area of flower bed with sidewalk A'

= 3.14(12.5)²

= 3.14(156.25)

= 490.625 m²

Area of the sidewalk

= A' - A

= 490.625 - 283.385

= 207.24 m²

Hence, 207.24 m² is area of the circular sidewalk around flowerbed.

Learn more about area here:

brainly.com/question/27683633

#SPJ7

Answer:

square the number in the middle to solve

it's easier than calculating the roots

1) true

2) true

3) false (obviously)

4) false (3² = 9, not less than 9)

5) true

6) true

Answer:

Step-by-step explanation:

True 2.23<2.3<2.44

True 2.23<2.4<2.44

True

False 2.82<3<3

True 2.82<2.9<3

False 2<4.5<2.23

Answer:

Its D

Step-by-step explanation: