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3 years ago

15

Find the value of a.2004-04-01-01-00_files/i0150000.jpg

1 answer:

Tanzania [10]3 years ago

8 0

<span>are you familiar with the pythagorean theorem?
</span>it's the formula a^2 + b^2 = c^2 where 'a' and 'b' are the legs of a right triangle, c is the hypotenuse
so here,
<span>lets take
a = unknown, b = 18, c = 36</span><span>If we focus on triangle ABC, we see that AC is the hypotenuse If we turn our attention to triangle ADB, we'll find that AB is the hypotenuse So they are corresponding partAD is the longer leg of triangle ADB AB is the longer leg of triangle ABC so this is another pair of corresponding partswe then divide the corresponding parts of ABC over ADB (in the same order) like this AC/AB = AB/AD then plug in the info we know 36/(18*sqrt(3)) = (18*sqrt(3))/AD and then solve for ADcross multiply to get 36*AD = (18*sqrt(3))(18*sqrt(3)) 36*AD = 18*18*sqrt(3)*sqrt(3) 36*AD = 18^2*(sqrt(3))^2 36*AD = 324*3 36*AD = 972 AD = 972/36AD = 27hope u get it :)</span>

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Wich statement is true about a line and a point?

Bogdan [553]

A line are two rays in opposite directions and go on forever, and a point is a location on any type of line segment or shape ( see pictures for examples)

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3 years ago

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Apples cost $0.75 per pound and bananas cost $1.05 per pound.

dedylja [7]

Answer:

The baker bought 8 pounds of apples and 4 pounds of bananas.

Step-by-step explanation:

a+b=12.

0.75a+1.05b=10.20

First, multiply 2 my 10.

75a+105b=1020.

Then multiply 1 by 75.

75a+75b=900.

Then subtract.

75a+105b=1020

75a+75b=900.

75a-75a+105b-75b=1020-900

30b=120

b=4

Substitute into (1)

a+4=12

a=8.

Hope this helps :)

3 0

3 years ago

How would you classify the number 125?

lys-0071 [83]

125 = 5 * 5 * 5 = 5^3

Its a perfect cube.

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2 years ago

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The simplified form of an expression is 1 . Which expression was simplified?

Afina-wow [57]

2-1, 3-2, 4-3, 1*1, 1/7, any number of expressions fit the bill here.

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3 years ago

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An apartment complex has a floor plan with dimensions shown. To effectively air condition a room, 20 BTU’s are required for ever

kifflom [539]

12,900 BTU's are required to cool the room effectively.

Step-by-step explanation:

Step 1:

We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.

It is made up of a semi-circle a rectangle, and a trapezoid.

Step 2:

The area of a semi-circle $=\frac{ \pi r^{2} }{2} .$

Here, the diameter is 20 feet so the radius is 10 feet.

The area of the semi-circle $=\frac{ \pi r^{2} }{2} =\frac{ (\pi) (10^{2}) }{2} = 157.079$ square feet.

The area of a rectangle $= (l)(w).$

The length of the rectangle is 22 feet and the width is 20 feet.

The area of a rectangle $= (l)(w) =(22)(20) = 440$ square feet.

The area of a trapezoid $=\frac{a+b}{2} (h).$

Here $a=12, b= 20, h= 3$ .

The area of a trapezoid $=\frac{12+20}{2} (3) = 48$ square feet.

Step 3:

The total area of the floor plan $=157.079+440+48 = 645.079$ square feet.

If 20 BTU's are required for a single square foot,

The number of BTU's for 645.079 square feet $= (645.079)(20)=12,901.58$ BTU's.

Rounding this off, we get 12,900 BTU's required to cool the room effectively.

7 0

3 years ago