help 20 points i need it for now x_x

Answer:

Length of short side is 62 cm and length of long side is [tex]62\sqrt{3}[/tex] cm

Step-by-step explanation:

There's specific "rule" for 30-60-90 triangle

short leg will be x

long leg will be [tex]x\sqrt{3}[/tex]

hypotenuse will be 2x

So, when you know hypotenuse is 124 (2x)

To find short leg, you divide 124 by 2

short leg will be 62 (x)

To find long leg, you plug in the x (in this case it's 62)

long leg will be [tex]62\sqrt{3}[/tex]

Answer:

19.3

Step-by-step explanation:

tan ? = opp./adj = 7/20

? = arctan 7/20 ≈ 19.3

Answer:

6558.75

Step-by-step explanation:

total value of 100 logs = total value of an average log x 100 total value of an average log = length of an average log x price per board foot

8.25 x 7.95 = 65.5875

65.5875 x 100 = 6558.75

Answer:

It is an Arithmetic sequence

Common difference = 3/4

Step-by-step explanation:

Determine whether the given sequence could be geometric, arithmetic, or neither. If possible identify the common ratio or common difference 1/2,5/4, 2, 11/4..

We are given the sequence:

1/2, 5/4, 2, 11/4.

We are to determine if this is an Arithmetic or Geometric sequence

Hence:

To determine if this is an Arithmetic sequence, we find the Common difference

Common difference = Second term - First term

= 5/4 - 1/2

Lowest Common Denominator = 4

= 5 - 2/4 = 3/4

or Third term - Second term

2 - 5/4

Lowest Common Denominator = 4

2/1 - 5/4

8 - 5/4

= 3/4

We have the same common difference.

To determine if this is an Geometric sequence, we find the Common ratio

Common ratio = Second term / First term

= 5/4 ÷ 1/2

5/4 × 2/1

= 5/2 = 2 1/2

or Third term /Second term

2 ÷ 5/4

2 × 4/5

= 6/5

= 1 1/5

It is not a geometric sequence

Therefore , the above sequence in the Question is an Arithmetic sequence.

Answer:

36% of 240

=36/100*240

=6640/100

=86.4

Step-by-step explanation:

Answer:

£86.40

Step-by-step explanation:

36% = [tex]\frac{36}{100}[/tex] = 0.36 , then

0.36 × £240 = £86.40

Answer:

4

Step-by-step explanation:

12/3=4 or

12*1/3 or

12*0.3333333333333

Answer:

3 sweets

Step-by-step explanation:

3:1

6:2

9:3

9+3=12 sweets

Answer:

42 yards

Step-by-step explanation:

you do; 12+12+9+9 (a+b+a+b is the key for rectangle) which would equal 42.

Answer:

56°

Step-by-step explanation:

25^2 + b^2 = 30^2

625+b^2 = 900

b^2 = sq 275

b^2 =16.6

acos(cos⁻¹) (16.6/30).

Answer:

So, after 6 months, they both have the same number of coins.  

Step-by-step explanation:

Jack has 56 coins

Jill has 80 coins

Jack collect 12 coins per month

Jill collect 8 coins per month

Let after m months, they both have the same coin.

56 + 12 m = 80 + 8 m

12 m - 8 m = 80  - 56

4 m = 24

m = 6

So, after 6 months, they both have the same number of coins.  

Answer:

57.5 percent for first answer

Step-by-step explanation:

2nd answer 19.166666666667

rounded 58 percent and 19 percent

Answer:

67%

Step-by-step explanation:

(69-23)/69 = 67%

Answer:

[tex]IQR = 15[/tex]

Step-by-step explanation:

Given

I will answer this question with the attached plot

Required

The interquartile range (IQR)

This is calculated using:

[tex]IQR = Q_3 - Q_1[/tex]

On the second attachment, I identified Q1 and Q3 on the plot.

So, we have:

[tex]Q_3 = 40[/tex]

[tex]Q_1 = 25[/tex]

[tex]IQR = Q_3 - Q_1[/tex]

[tex]IQR = 40 - 25[/tex]

[tex]IQR = 15[/tex]

OPTION A ,C AND E IS CORRECT

1/10 x 50,000 = 5,000

100 x 50 =5,000

10 x 500 = 5,000

Answer:

9 mm

Step-by-step explanation:

The smallest leg usually has the smallest angle and the largest leg (the hypothese i.dk how to spell) usually has the largest angle

Answer:

Imma but it in the comments because i can't put it on here plus i can't put the thing on here either that's why i didn't do it yesterday

Step-by-step explanation:

Answer:

Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.

Step-by-step explanation:

Dado que a una reunión asistieron tres amigos: Manuel, Hugo y Coco; y tres damas: Pamela, Nancy y Susan, y terminada la actividad, cada uno de los muchachos salió acompañado por una dama, y Hugo salió con la amiga de Nancy, mientras que Pamela, que no simpatiza con Nancy, salió antes que Manuel, para determinar con quién salió cada persona debemos realizar el siguiente razonamiento lógico:

Hugo = Amiga de Nancy (no es Pamela) = Susan

Pamela = Sale antes que Manuel (no sale con Hugo) = Coco

Nancy = Manuel

Por lo tanto, Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.

Answer:

Option B

Step-by-step explanation:

Equation of the graph,

f(x) = x²

If the graph is translated 5 units to the right,

g(x) = f(x - 5)

Therefore, g(x) = (x - 5)²

If the function 'g' is translated 3 units up,

h(x) = g(x) + 3

Therefore, h(x) = (x - 5)² + 3

If the function 'h' is vertically compressed by a factor of [tex]\frac{2}{3}[/tex],

Then the new function will be,

k(x) = [tex]\frac{2}{3}(x-5)^2+3[/tex]

Option B will the correct option.

Answer:

The answer is 4

Step-by-step explanation:

Step-by-step explanation:

keep in mind that, to get the inverse expression of any relation, we start off by doing a quick switcheroo on the variables, and then solve for "y", so let's do so,

Answer:

[tex]y = \frac{\sqrt{x+4} }{3}, \ y = -\frac{\sqrt{x+4} }{3}[/tex]

Step-by-step explanation:

To  find inverse we replace  and y first.

[tex]y = 9x^2 - 4 \ becomes \ x = 9y^2 -4[/tex]

[tex]Then \ solve \ for \ y\\\\9y^2 = x+ 4\\\\y^2 = \frac{x+4}{9}\\\\y = \pm \sqrt{\frac{x+4}{9}} \\\\y = \pm {\frac{\sqrt{x+4}}{3}[/tex]

Answer:

Step-by-step explanation:

(√10)²=10

1. (2 1/2)²=(5/2)²=25/4=6.25

2. (3 1/5)²=(16/5)²=256/25=10.24

3. 3²=9

4. (1/10)²=1/100=0.01

we see 10.24 is near to 10

so 3 1/5 is closest.

Answer:

the input is any number and the output is the number that is squared to equal that number

Answer:

Step-by-step explanation:

The weight of water is 0.036 pounds times the volume of water in cubic inches.

Volume of the tank = Length × Width × Height

= 14 × 25 × 38

= 13300 cubic inches

V

Answer:

He should travel directly

Step-by-step explanation:

Given

[tex]x = 0.5[/tex] --- East

[tex]y =1[/tex] --- North

If he goes through east north direction, the distance (d) traveled is:

[tex]d = x + y[/tex]

[tex]d = 0.5 + 1[/tex]

[tex]d = 1.5 mile[/tex]

If he travels directly, the distance (d) is:

[tex]d = \sqrt{x^2 + y^2}[/tex] ---- Pythagoras theorem

[tex]d = \sqrt{0.5^2 + 1^2}[/tex]

[tex]d = \sqrt{0.25 + 1}[/tex]

[tex]d = \sqrt{1.25}[/tex]

[tex]d = 1.12mile[/tex]

By comparison, he will travel the shortest distance if he travels directly because [tex]1.12 < 1.5[/tex]

Hence, he should travel directly

Step-by-step explanation:

angle 6 = 61° (definition of vertical angles)

angle 3 = 61° (definition of alternate interior angles)

angle 1 = 61° (definition of vertical angles)

angle 7 = 119° (definition of supplementary angles)

angle 5 = 119° (definition of supplementary and vertical angles)

angle 4 = 119° (definition of consecutive interior angles)

angle 2 = 119° (definition of vertical angles)

Answer:

j

Step-by-step explanation:

Answer:

83,749 bottles

Step-by-step explanation:

Each bottle contain = 355ml

Total water need to pack = 29,730,895 ml

So, we can calculate the number of bottles by using following formula,

Number of bottles required = Total water ÷ Each bottle contain

by putting the value, we get

Number of bottles required = 29,730,895 ÷ 355

= 83,749

Hence, total number of bottles required is 83,749.

Answer:

3:10

Step-by-step explanation:

there are 2 N's and 1 A

Answer:

3/10 or 3:10

Step-by-step explanation:

There are a total of 10 letters in the word ENGAGEMENT. The probability of choosing an N or and A is 3 because there are 2 N's and 1 A for a total of 3 possibilities out of the total number of letters which is 10.

Answer: 10/3 or 3.33

Step-by-step explanation:

Answer:

15, 36, 39

Step-by-step explanation:

when these are squared they add up to 39 squared following the Pythagorean theorem