1. The United States is one of the few countries that relies heavily on using
customary units.*
True
False

Answer:

x = 3 ± √5

Step-by-step explanation:

Given:

(x - 3)² = 5

Find:

Value of x

Computation:

(x - 3)² = 5

x² - 6x + 9 = 5

x² - 6x + 4 = 0

x = [-b ± √b² -4ac] / 2a

x = 3 ± √5

Answer:

0.81 = 81% probability that a randomly selected student is taking a math class or an English class.

0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class

Step-by-step explanation:

We solve this question working with the probabilities as Venn sets.

I am going to say that:

Event A: Taking a math class.

Event B: Taking an English class.

77% of students are taking a math class

This means that [tex]P(A) = 0.77[/tex]

74% of student are taking an English class

This means that [tex]P(B) = 0.74[/tex]

70% of students are taking both

This means that [tex]P(A \cap B) = 0.7[/tex]

Find the probability that a randomly selected student is taking a math class or an English class.

This is [tex]P(A \cup B)[/tex], which is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cup B) = 0.77 + 0.74 - 0.7 = 0.81[/tex]

0.81 = 81% probability that a randomly selected student is taking a math class or an English class.

Find the probability that a randomly selected student is taking neither a math class nor an English class.

This is

[tex]1 - P(A \cup B) = 1 - 0.81 = 0.19[/tex]

0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class

Step-by-step explanation:

For 1st question

x = 35° + 15° {exterior angle of a triangle is equal to the sum of two opposite interior angles }

x = 50°

For second question

9x + 16° = 90° + 5x - 14°{exterior angle of a triangle is equal to the sum of two opposite interior angles }

9x - 5x = 90° - 14° - 16°

4x = 60°

x = 60° / 4

x = 15°

Hope it will help :)

Answer:

5x + 25

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

5(x + 5)

Step 2: Expand

Answer:

D) 180 inches²

SEE NOTE*

Step-by-step explanation:

Base = 10x10=100

Each triangle = 1/2x10x4=20

20x4=80

100+80=180

* This may be a trick question.  This pyramid CANNOT exist.  If the base is 10 inches, the height of the triangles cannot be 4 inches.  They must be more than 5.  

Answer:

52mph

Step-by-step explanation:

260/5

Answer:

The answer is E infinitely many.

Step-by-step explanation:

The answer is Infinitely because if the sides are parallel then the other two sides must be the same measurement. However, they can be any measurement they want. So the answer is infinite triangles.

Answer:

[tex]5^{-2}[/tex]

Step-by-step explanation:

[tex]5^{(10-12)}[/tex]

The simplified expression in the form 5^n is 5^−1×6.

A fraction represents a part of a number or any number of equal parts.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We are given that;

Form=5 ^ n

Now,

To simplify the expression, we need to first rewrite the fractions with a common denominator of 60: (5/10)/(5/12)=(5×6)/(10×6)÷(5×5)/(12×5)=(30/60)/(25/60)

Then we need to invert the second fraction and multiply: (30/60)/(25/60)=(30/60)×(60/25)=30/25

Then we need to simplify the fraction by dividing both numerator and denominator by 5: 30/25=(30÷5)/(25÷5)=6/5

Finally, we need to rewrite the fraction in the form of 5n

by using the property that a/b=a×b−1

So we have: 6/5=6×5−1=50×6×5−1=50−1×6=5−1×6

Therefore, by the fraction the answer will be 5^−1×6.

Learn more about fraction;

https://brainly.com/question/729654?referrer=searchResults

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Answer:

Step-by-step explanation:

The first two questions are answered here

Use the equation for exterior angle

Exterior angle  = sum of non-adjacent interior angles

Answer:

x = 26° degrees the work bellow is correct i double checked it :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Average speed is distance divided by time.

s=(101km)/(1hr)

s=101 km/hr

Well if Jorge's motion can be described by vectors then he first went +25 steps then -75 steps which means he did -50 steps in total. His position is thus 50 steps to the south of the original position.

Hope this helps.

Answer:

50

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

here is it

Answer:

67 886/1093

Step-by-step explanation:

Answer:

21 units

Step-by-step explanation:

The formula for solving a triangle is (b×h)/2

So that means 7 × 6 = 42 so then you want to divide 42 by 2

42÷2= 21

Answer:

D 21

Step-by-step explanation:

A=1/2bh is the  formula it’s simpl.

Answer:

46

12+12=24

6+6=12

8+8=16

24+12+16:46

Answer:

no

Step-by-step explanation:

Answer:

(csc c-cot c) ^2

Step-by-step explanation:

Answer:

A,C,D

Step-by-step explanation:

I just did it

Answer:

1. x = 2

2. x = 6

3. x = 6

4. x = 1

Step-by-step explanation:  i think thats it

Answer:

x = 2, x = 3, x = 6, x = 1

Step-by-step explanation:

1

2(x + 3) = 10 ( divide both sides by 2 )

x + 3 = 5 ( subtract 3 from both sides )

x = 2

2

2(x + 3) = 9 + x ← distribute parenthesis on left side

2x + 6 = 9 + x ( subtract x from both sides )

x + 6 = 9 ( subtract 6 from both sides )

x = 3

3

2(2x + 1) = 3x + 8 ← distribute parenthesis on left side

4x + 2 = 3x + 8 ( subtract 3x from both sides )

x + 2 = 8 ( subtract 2 from both sides )

x = 6

4

2(2x + 3) = x + 9 ← distribute parenthesis on left side

4x + 6 = x + 9 ( subtract x from both sides )

3x + 6 = 9 ( subtract 6 from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Answer:

6400

Step-by-step explanation:

(8)(10)2

(80)2

6400

Answer:

160

Step-by-step explanation:

you replace x with 8 and replace y with 10

Whenever the numbers are close together such as "xy2" it mean you're multiplying

so whwn you multiply 8 * 10 * 2   you would get 160

Hoped this helped!

Answer:

a) 5/12 probability of selecting a red marble.

b) 7/12 probability of selecting a green marble.

c) 0% probability of selecting a purple marble.

d) All marbles are either red or green, so 100% probability of selecting a red or a green marble

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

a) A red marble

5 red marbles out of 5 + 7 = 12 total marbles

So, 5/12 probability of selecting a red marble.

b) A green marble

7 green marbles out of 5 + 7 = 12 total marbles

So, 7/12 probability of selecting a green marble.

c) A purple marble

There are no purple marbles, so 0% probability of selecting a purple marble.

d) A red or a green marble

All marbles are either red or green, so 100% probability of selecting a red or a green marble

Answer:

(A) 0.2814

Step-by-step explanation:

you do 47 (amount of trucks with speed pass) divided by 167 (total amount of vehicles) to get 0.2814.

Answer:

A) 0.2814

Step-by-step explanation:

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