What is the area of this triangle A=bh/2 A:17m2 B:30m2 C:60m2 D:120m2

What is 8blank7 hundred divided by 4 equal

Gnoma [55]

$\frac{870}{4} = \frac{435}{2} 
$

(Decimal: 217.5)

For if its
$\frac{8700}{4}$

Then is $=2175$

~ Hope this helps

3 0

3 years ago

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

Sas, sss, aas, or not enough information

lesya [120]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The given triangles are congruent by :

ASA criterion

because they have Two Angles and a side between them equal to the corresponding Angles and side of the another triangle.

3 0

2 years ago

The height of a triangle is 8ft greater than the base. The area of the triangle is 136.5 square ft. Find the length of the base

mixer [17]

Answer:

the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

Step-by-step explanation:

Note that the formula for the area of a triangle is A = (1/2)(base)(height). Let's abbreviate that to A = (1/2)(b)(h). We are told that h = b + 8.

Then A = 136.5 = (1/2)(b)(b + 8), or

(after multiplying both sides by 2)

A = 273 = b^2 + 8b

which, when put into standard quadratic form, becomes:

b^2 + 8b - 273 = 0

The coefficients of this quadratic are a = 1, b = 8 and c = -273.

Thus, the discriminant is b^2 - 4ac, or 64 - 4(1)(-273) = 1156 = 17^2.

The roots are then

-8 ± √1156 -8 ± 17

x = -------------------- = ------------ = 9/2 and -25/2

2 2

Only the root 9/2 makes sense here, because measurements of length are positive.

Thus, the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

3 0

3 years ago

Find x and y NEED HELP FASTTTTT

garri49 [273]

Answer:

x=2 y=2

Step-by-step explanation:

Second: x=3 y=1.5

3 0

2 years ago