A ladder is leaning against a vertical wall makes an angle of 50° with
the ground. The foot of the ladder is 5 m from the wall. Find the length of
ladder. Input the numeric answer only, rounded to the nearest tenth. *

Answer:

x=4

Step-by-step explanation:

The left and right sides are equal so:

5x-2 + 4x = 7x-4 + x+6

Collect the like terms and calculate the sum :

9x-2 = 8x+2

Move terms and change it's sign:

9x-8x = 2+2

And finally:

x=4

Also if you solve the equations of the other sides you'll find x₁=0.5 and x₂=4

which the intersection with the previous answer will be x=4

Answer:

3

Step-by-step explanation:

Answer:

[tex]3(10a + 13b)[/tex]

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

GCF = 3

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

[tex]3( \frac{30a}{3} + \frac{39b}{3} )[/tex]

3) Simplify.

[tex]3(10a + 13b)[/tex]

Therefor, the answer is 3 ( 10a + 13b)

Step-by-step explanation:

2x+4=x+18

2x-x=18-4( Addition on the Right hand side changes to subtraction on the left hand side and wise-versa.)

1x=14

1x(1*x so X itself)

X=14

Answer:

x+2x+4_x_18=0

2x_14=0

x=14÷2

x=7

From the central limit theorem, the interval can the researcher be 95% certain that the sample mean will fall within A. $257.82 and $272.18.

How to use the Central limit theorem?

We are given;

Population Mean; μ = $265

Population standard deviation; σ = $40.93

Sample size; n = 130

The central limit theorem (CLT) postulates that the distribution of sample mean approximates a normal distribution with larger sample sizes, disregarding the population's distribution.

This implies that sample sizes equal to or greater than 30 are often considered sufficient for the Central limit theorem to hold.

Thus, by the central limit theorem, the interval can the researcher be 95% certain that the sample mean will fall within A. $257.82 and $272.18.

Read more about Central limit theorem at; https://brainly.com/question/17097944

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Answer:

See image below

Step-by-step explanation:

Answer:

Step-by-step explanation:

18x-2

Answer:

2‹18x

2 is less than 18 timesX

Answer:

0.66071428571429

Step-by-step explanation:

Answer:

the answer should be 1

Step-by-step explanation:

Remove parentheses.

6+2−(−1)−8

Multiply −1 by −1.

6+2+1−8

Add 6 and 2.

8+1−8

Add 8 and 1.

9−8

Subtract 8 from 9.

1

Answer:

Step-by-step explanation:

V=hb/3, where b=area of base

b=3V/h, since V=30mm^3 and h=5mm then

b=3(30)/5

b=18 mm^2

So the area of the base is 18 square millimeters.

Answer:

5x is the GCF

Step-by-step explanation:

Answer:

4- 3s and 2- 2s

Step-by-step explanation:

3+3+2+2+3+3

Answer:

3 - 2 x b

For jalaysha's age.

b + 2

Is maureen's age

Answer:

3-2*b=j

2+b=m

Step-by-step explanation:

Answer: 5x^2 - 3x + 9

Step-by-step explanation:

Answer:

5x^2 - 3x + 9

Step-by-step explanation:

Answer:

314.00

Step-by-step explanation:

Answer:

15.70

Step-by-step explanation:

A=r^2

Answer:

0.079

Step-by-step explanation:

Number of suit of hearts = 13

Total number of cards in deck = 52

P(drawing a suit of heart) = number of suit of heart / total number of cards in deck

P(drawing a suit of heart) = 13 /52 = 1 /4

Hence, Probability of success, p = 1/4

P(not drawing a suit of heart) = 1 - 1/4 = 3/4

Hence, Probability of performing exactly 5 draws :

To perform exactly 5 draws :

1st draw = not a heart suit

2nd draw = not a heart suit

3rd draw = not a heart suit

4th draw = not a heart suit

5 draw = a heart suit

P(performing exactly 5 draws) =

(3/4 * 3/4 * 3/4 * 3/4 * 1/4)

= 0.0791015625

= 0.079

Answer:

x = 3.5

Step-by-step explanation:

diagonals bisect each other so AW = OW

since AO = 22 then AW = 11

11 = 4x - 3

14 = 4x

x = 7/2 or 3 1/2

Answer:

x = -12/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

1/3x = -4/5

Step 2: Solve for x

Answer:

$27.31 (rounded to the nearest cent)

Answer:

11

Step-by-step explanation:

A prime number is a number that cannot be factored other than 1 and that number is self thus, 11 will be the prime number.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

A prime number is a number that cannot be factored other than 1 and that number is self.

For example, 9 can be written as 3 x 3 thus it will not prime number and 11 cannot be written as two products other than 1 x 11 thus it will be a prime number.

Hence "A prime number is a number that cannot be factored other than 1 and that number is self thus, 11 will be the prime number".

For more about the number system,

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Answer:

the simplest way to finish your hw is to ask the Q of your hw here instead of asking us to help with your hw

Answer:

0%

Step-by-step explanation:

im not sure but i got the answer because the square was not have any color

Answer:

6

im not really sure how to explain this, using the number line go from -2 to 4, getting you to 6 spaces

Answer:

19

Step-by-step explanation:

Answer: it will be 45, but for some reason it’s not in your answer choices

Step-by-step explanation:

Answer:

Complementary Angles

Step-by-step explanation:

When all angles are added together they have a sum of 90°. Two angles that have a sum of 90° are complementary angles.

I know this is 90° because it is a right angle.

Answer:

C. Supplementary angles

Step-by-step explanation:

because they add up to 180°

Answer:

Supplementary angles

Step-by-step explanation:

Supplementary angles b/c the 2 angles would have to equal 180

Answer:

45=32+13

Step-by-step explanation:

because you need to get 45 on the other side to balance it out

Answer:

32

Step-by-step explanation:

45=r+13

r=45-13

r=32