A fence on a hill uses vertical posts L and M to hold parallel rails N and P. If m∠1 = 115, then what is the measure of ∠16?

Which fraction is greater 8/400 or 8/10 meaning more

Vsevolod [243]

Answer:

8/10=0.8

8/400=0.02

So 8/10 is greater

Step-by-step explanation:

3 0

2 years ago

Find the volume of the composite solid. Round your answer to the nearest hundredth.

vampirchik [111]

Answer:

I got c

Step-by-step explanation:

3 0

3 years ago

Question 1: Explain how the letter x (or any letter) is used when writing expressions, and give an example. How are expressions

BaLLatris [955]

Answer:

Question 1:

The letter x or any letter used when writing an expression is representative of unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea

Question 2:

The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7

Question 3:

In the first expression, the like terms are;

10y and (-2y),

3x and x

In the second expression, the like terms are;

-y and -2y

3x and 4x

The first expression simplifies to 8y + 4x + 10

The second expression simplifies to 7x - 3y + 6

Question 4:

The expression is evaluated as 122

Question 5:

The equivalent expression of the expression 3(4x + 2y) + 5x, is 17x + 6y

To prove when x = 1 and y = 2 we have;

3(4×1 + 2×2) + 5×1 is 29

17×1 + 6×2 is 29 which are equivalent in value

Step-by-step explanation:

Question 1:

The letter x or any letter used when writing an expression is representative of unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea

Example;

If x is the symbol representing the average number of oranges sold in 1 hour, then the expression for the number of oranges sold per day of 24 hours = 24·x

An expression is a written mathematical symbolic statement that shows the the finite merging together of representative symbols by the mathematical operations that govern the present constraints

An equation is a statement that two expressions are equal

Question 2:

The given expression is 2(3x - 2y) + 7

The parts are;

The coefficient of (3x - 2y) = 2

The constant term = 7

The variables are x and y

Which gives

The coefficient of the variable x = 6

The coefficient of the variable y = -4

The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7

or

The expression can be translated as two times the bracket open three times (variable) x minus two times (variable) y bracket close plus the constant 7

or

The expression can be expanded as 2(3x - 2y) + 7 → 6·x - 4·y + 7 which is expressed verbally as follows;

Six times (variable) x minus four times (variable) y plus the constant 7

Question 3:

The expressions are;

10y + 3x + 10 + x - 2y..........................(1)

3x - y + 4x + 6 - 2y,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,(2)

In the first expression, the like terms are;

10y and (-2y),

3x and x

In the second expression, the like terms are;

-y and -2y

3x and 4x

They are like terms because they can be simply added together to simplify the expressions as follows

10y + 3x + 10 + x - 2y gives 10y - 2y + 3x + x 10 to give 8y + 4x + 10

Also

3x - y + 4x + 6 - 2y gives 3x+ 4x - y - 2y + 6 to give 7x - 3y + 6

Question 4:

The expression 8x² + 25·y when x = 3 and y = 2 is evaluated by replacing (putting) the value x and y (into the expression)

The expression is then evaluated as 8×3² + 25×2 which is the same as 72 + 50 or 122

Question 5:

To write the equivalent expression of the expression 3(4x + 2y) + 5x, we expand the expression as follows;

3×4x + 3×2y + 4x which is 12x + 6y + 4x

We combine like terms;

12x + 5x + 6y which is 17x + 6y

To prove we can check by substituting a value for each of the variables x and y such as x = 1 and y = 2

3(4×1 + 2×2) + 5×1 is 29

17×1 + 6×2 is 29

5 0

3 years ago

Find the angle between the hands of a clock at 5:15 A 60 B 67.5 C 75

Viktor [21]

Answer:

Option B is correct.

67.5 degree

Step-by-step explanation:

To find the angle between the hands of a clock.

Given that:

Hands of a clock at 5 : 15.

We know that:

A clock is a circle and it always contains 360 degree.

Since, there are 60 minutes on a clock.

$\frac{360^{\circ}}{60 minutes} = 6^{\circ} per minutes$

so, each minute is 6 degree.

The minutes hand on the clock will point at 15 minute,

then, its position on the clock is:

$(15) \cdot 6^{\circ} = 90^{\circ}$

Also, there are 12 hours on the clock

⇒Each hour is 30 degree.

Now, can calculate where the hour hand at 5:00 clock.

⇒ $5 \cdot 30 =150^{\circ}$

Since, the hours hand is between 5 and 6 and we are looking for 5:15 then :

15 minutes is equal to $\frac{1}{4}$ of an hour

⇒ $150+\frac{1}{4}(30) = 150+7.5 = 157.5^{\circ}$

Then the angle between two hands of clock:

⇒ $\theta = 150.75 -90 = 67.5^{\circ}$

Therefore, the angle between the hands of a clock at 5: 15 is: 67.5 degree.

4 0

3 years ago

Read 2 more answers

Which statement is false?(1 point)

Sergio039 [100]

A.Fractions and decimals are not integers. All whole numbers areintegers (and all natural numbers are integers), but not all integersare whole numbers or natural numbers. For example, -5 is an integerbut not a whole number or a natural number.
B.A number is rational if it can be represented as p q with p , q ∈ Z and q ≠ 0 . Any number which doesn't fulfill the above conditions is irrational. It can be represented as a ratio of two integers as well as ratio of itself and an irrational number such that zero is not dividend in any case
C.In mathematics, an irrational number is any real number that cannot be expressed as a ratio of integers. Irrational numbers cannot be represented as terminating or repeating decimals.
D.The correct answer is rational and real numbers, because all rational numbers are also real. Correct. The number is between integers, so it can't be an integer or a whole number. It's written as a ratio of two integers, so it's a rational number and not irrational.
 Witch one do u think it is??

3 0

2 years ago