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Jobisdone [24]
3 years ago
10

a trapezoid with an area of 166.75 in has bases that measure 21in and 8 in find the height of the trapezoid

Mathematics
1 answer:
alisha [4.7K]3 years ago
6 0

Answer:

height = 11.5 in

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = \frac{1}{2} h(a + b)

where h is the height and a, b the bases

here a = 21, b = 8 and A = 166.75, hence

\frac{1}{2} h(21 + 8) = 166.75

Multiply both sides by 2 to eliminate the fraction

29h = 333.5 ( divide both sides by 29 )

h = 11.5 in

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Is subtraction of decimals associative? If not, give a counter example.
Masteriza [31]
Associative property is only applied to addition and multiplication. Thus, it can't be applied to subtraction. This property is manifested when you get the same answer no matter where you put the parenthesis. Example of associative property is:

(50 + 2) + (92 + 6) = 52+98 = 150
50 + (2+92) + 6 = 50 + 94 + 6 = 150

Here is the counter example for the subtraction of decimals:

(3.45 - 8.92) - (1.9 - 7.3) = -5.47 - ⁻5.4 = -0.07
3.45 - (8.92 - 1.9) - 7.3 = 3.45 - 7.02 - 1.9 = -5.47
As you can see, the answers are not the same.
4 0
3 years ago
Round 253.5198 to the nearest thousandth
kipiarov [429]

Answer:

253.520

Step-by-step explanation:

Let us see what is the thousandths place...

It is the third digit to the right.

253.5198 rounded is about

253.520.

I can tell because you take the thousandths place, look at the one to the right of it, then if it is greater than 5, you make the thousandths place greater. Since it's a 9, you move the extra 10 thousandths to the next thing- the hundredths. and you get 253.520.

4 0
3 years ago
Read 2 more answers
Write the word sentence as an equation. Then solve the equation. A number $k$ increased by 7 is 34. An equation that represents
Monica [59]

Answer: k = 27

Step-by-step explanation:

Here's the complete question:

Write the word sentence as an equation. Then solve the equation. A number k increased by 7 is 34.

An increase in k simply means that there's an addition. This will be:

k + 7 = 34

k = 34 - 7

k = 27

Therefore, the value of k is 27

5 0
2 years ago
What type of number is 1/2?
makkiz [27]

Answer:

1/2 is a rational number.

Step-by-step explanation:

Real numbers are numbers that can represent "distance" along a line. The set of real numbers has subsets that include natural numbers, whole numbers, integers, and rational numbers.

Natural numbers are counting numbers. A.K.A., they are numbers that you would start counting your fingers on (1, 2, 3, ...)

Whole numbers are just natural numbers and 0.

Integers are whole numbers and their opposite. (..., -3, -2, -1, 0, 1, 2, 3, ...)

Rational numbers are integers and numbers that can be put into a fraction of two integers. For example, 3/4 is a fraction of two natural numbers (3 and 4) who are also integers. Therefore, 3/4 is a rational number.

So, what number is 1/2?

It can't be a natural number because no one counts numbers as fractions unless they were made to.

It can't be a whole number because 1/2 is not whole. It is half of 1.

It can't be an integer because integers include whole numbers and their opposites, and 1/2 isn't even a whole number.

1/2 has to be an rational number because it is a fraction of two integers, 1 and 2.

8 0
3 years ago
What is the value of x in the equation 1/3x -2/3= -18
barxatty [35]
1/3x - 2/3 = -18
1/3x = -18 + 2/3
x = -54 + 2
x = -52 answer
8 0
3 years ago
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