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miv72 [106K]
3 years ago
6

Q.Take out the area of the trapezium.Parallel sides-15,23Non parallel sides-10,8​

Mathematics
2 answers:
-Dominant- [34]3 years ago
8 0

Answer:

i think the person who had answer in first is right

Dmitriy789 [7]3 years ago
3 0

Answer:

Step-by-step explanation:

Area of a trapezium is the average of the parallel sides times the distance between them.

If we subtract 15 units from each of the parallel sides, we end up with a triangle that has two sides of 8 units and one of 10 units. One of the 8 unit sides is the base and we need to find the height h which is perpendicular to this base.

Let the base be split into two segments, call one A, the other will be 8 - A

From Pythagoras.

10² - A² = h² = 8² - (8 - A)²

10² - A² = 8² - (8 - A)²

100 - A² = 64 - (64 - 16A + A²)

100 - A² = 64 - 64 + 16A - A²

     100  =  16A

         A = 6.25

h = √(10² - 6.25²)

h = √60.9375  

A = ½(15 + 23)√60.9375  

A = 148.31870246... ≈ 148.3 cm²

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John is a High School principal. He earns $62,299.92 a year and is paid on a semimonthly basis. How much is deducted per pay per
LenKa [72]

Answer alongwith Step-by-step explanation:

<u>1. Social Security</u>

Here Gross income = $62,300

Step 1 Find semiannual income

Semimonthly gross income = $62,300 / 24 = $2595.83

Step 2 Find the social security liability using social security rate and annual income

Social security rate is 6.2%

Social Security Liability = 6.2% x $2595.83 = $160.94 semimonthly payments

Step 3 Find the social security liability using social security rate and annual income

Deduction amount for Social security on monthly basis = $160.94 *2 =

$321.88 per month

<u>2. Medicare</u>

Here Gross income = $62,300

Step 1 Find semiannual income

Semiannual Gross income = $62,300 / 24 = $2595.83

Step 2 Find the social security liability using Medicare rate and annual income

Medicare rate is 1.45%

Medicare Liability = 1.45% x $2595.83 = $37.64 semimonthly payments

Step 3 Find the social security liability using Medicare rate and annual income

Deduction amount for Social security on monthly basis = $160.94 *2

= $75.28 per month

8 0
3 years ago
Please help me out with this
Genrish500 [490]

Answer:

x = 17

Step-by-step explanation:

For the parallelogram to be a rhombus then then the diagonal must bisect the given angle, thus

3x - 11 = x + 23 ( subtract x from both sides )

2x - 11 = 23 ( add 1 to both sides )

2x = 34 ( divide both sides by 2 )

x = 17

7 0
3 years ago
An Angle measures 64 more than the measure of its supplementary angle what is the measure of each angle
ValentinkaMS [17]

Answer:

Original angle = 122*

Supplementary angle = 58*

Step-by-step explanation:

A supplementary angle is one of two angles that make up 180*

If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.

So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.

The formula to figure it out would look like this:  x + (x + 64) = 180

x is the supplementary angle

x + 64 is the original angle (64 MORE than its supplementary angle)

180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.

Take the formula and do a little algebra.

x + (x + 64) = 180

Subtract 64 from both sides

x + x = 116

Combine the x's

2x = 116

Divide both side by 2

x = 58

Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.

x + 64 = 122

Check our work:

x + (x + 64) = 180

58 + 58 + 64 = 180

4 0
3 years ago
Pls help with these math problems
katrin2010 [14]

Answer:

Step-by-step explanation:

1)

First we add what we know for y into the second equation.

5x - 4(x +2)= -3

From there, we simplify it

5x-4x-8= -3

x-8=-3

Now we get the x on its own

x=5

and now we add x=5 into the first equation that we had and simplify to find y

y=5+2

y=7

So the answer is x=5, y=7 or (5,7)

2)

For this one we do the same thing as with 1.

Add what we know for y (bottom equation) to the top equation

3x-8(x-8)=24

Now we simplify

3x-8x+64=24

-5x+64=24

And now solve for X

-5x=-40

x=8

And then substitute x=8 to find y

y=8=8

y=0

So the answer is x=8, y=0 or (8,0)

5 0
3 years ago
How do I do this? Help????!!!
mylen [45]
A = 9 because 11.2-2.2=9
B= 2.2 because 9+2.2=11.2
C=2.2 because 11.2-9=2.2
D=9.2 because 11.2-2=9


E=4.5 because 9.5-5=4.5
F= 5 because 9.5-4.5=5
G=4.5 because 9.5-5=4.5
H=5 because 9.5-4.5=5

I= x=11 because 99 divided by 9 = 11
J= x=9 because 99 divided by 11 = 9
K= 9 because 99 divided by 11 =9
L= 11 because 99 divided by 9=11

M=2 because 4 divided by 2 =2
N=4 because 2 times 2 =4
O=2 because 4 divided by 2 =2
P=2 because 4 divided by 2=2


hope this helps:)
4 0
3 years ago
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