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3 years ago

draw an example of a triangle that has an area of 20 square units. Show that your triangle has this area

Mathematics

2 answers:

katrin2010 [14]3 years ago

6 0

Illustrative Mathematics

Solution

Answers may vary.

Techniques include "completing" the triangle with sides of length 4 and 10 and arguing that half of its area must be 20 square units, chopping off and relocating a chunk of the right triangle to create a rectangle whose area is 20 square units, and "completing" individual unit squares to create a total of 20 unit squares.

Hope this helps

Anna11 [10]3 years ago

5 0

For the base u could use 10 and the height 4 becuz the area of a triangle is .5bh

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Your annual salary is $28,460 your State personal deductions total $88 for a weekly pay period. The state tax rate is 3.6% of ta

miv72 [106K]

Answer:

First, in one year you win:

$28,460

Now yearly we can subtract:

3.6% for the taxable income

1.7% for the gross pay:

(Those apply to the complete annual salary)

3.6% + 1.7% = 5.3%

This in decimal notation is 0.053, then paying those two things we have left:

$28,460*(1 - 0.053) = $26,951.62

Now we need to subtract the union dues, which are $156 per year.

$26,951.62 - $156 = $26,795.62

Now, this is yearly, and we want to know the weekly pay.

In one year we have 365 days.

One week has 7 days.

Then in one year, we have:

365/7 = 52.14 weeks.

Then the pay per week is:

$26,795.62/52.14 = $513.92

And now, each week we must pay $88 for state personal deductions, and $67 for FIT.

Then we have:

$513.92 - $88 - $67 = $358.92

Then the net pay for each weekly pay period is: $358.92

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3 years ago

Solve thye inequality 2/3x - 1/6 > 1/2

weeeeeb [17]

Answer:

x > 1

Explanation:

$\frac{2}{3} x-\frac{1}{6} >\frac{1}{2}$ = x > 1

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2 years ago

Use the properties of exponents to simplify the expression

ExtremeBDS [4]

Option B is correct after applying the property of integer exponent and simplification.

<h3>What is an integer exponent?</h3>

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have:

$=\rm (x.x^{-3}.y^{\dfrac{1}{3}})^2$

$=\rm (x^{-2}.y^{\dfrac{1}{3}})^2\\\\=\rm (x^{-4}.y^{\dfrac{2}{3}})\\\\=\rm \dfrac{y^{\dfrac{2}{3}}}{x^{4}}\\\\$

Thus, option B is correct after applying the property of integer exponent and simplification.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ1

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2 years ago

Solve the equation. 2(3z-2)+8=34 A. z=3 B. z=-3 C. z=-4 D. z=5

levacccp [35]

2(3z-2)+8=34
6z - 4 + 8 = 34
6z + 4 = 34
6z = 34 -4
6z = 30
z =30/6
z = 5

answer D. z=5

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3 years ago

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Suppose you have 3 pieces of string measuring 6 inches, 9 inches, and 12 inches. How many unique triangles can you form with the

siniylev [52]

A triangle should have 3 points and 3 sides. Let say that the point is ABC. Then the sides would be AB, AC and BC.
There are 3 strings with a different length that can be put into the sides. Assuming the string can be used once, then the possible way would be:
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3 years ago