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2 years ago

Can someone help me out? Thank you!

Mathematics

2 answers:

spayn [35]2 years ago

7 0

Step-by-step explanation:

Area of Tri: 1/2(b×h)

Area of Tri: 1/2 (8×16)

Area of Tri: 64in^2

ser-zykov [4K]2 years ago

7 0

Answer:

$Area = 64 inches$

Step-by-step explanation:

Before we begin, let's check what we know $...$

$H(Height)=8inches$

$B(Base)=16inches$

Triangle Formula

$A = [1/2 * b * h]$ - $/-fraction$

Steps to determine the area

1. $A = [1/2 * b * h]$

2. $A = [1/2 * 16 * 8]$

Simplify both sides of the equation. ( Cross cancel )
 $A = 1/8 * 8$

$A = 64inches$

The area of the triangle is 64 inches ( Hope this helps! :D )

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A triangle has sides measuring 4 inches 3 inches and 4 inches what kind of triangle is it?

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3 years ago

A group of retailers will buy 104 televisions from a wholesaler if the price is $300 and 144 if the price is $250. The wholesale

const2013 [10]

Answer:

(275,122)

When the price will be $275, the quantity will be 122 televisions.

Step-by-step explanation:

We have been given that a group of retailers will buy 104 televisions from a wholesaler if the price is $300 and 144 if the price is $250.

As the quantity of televisions depends on price of televisions, so our demand curve will pass through points (300,104) and (250,144).

Let us find slope of demand line using slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$ , where,

$m =\text{Slope of line}$ ,

$y_2-y_1=\text{Difference between two y-coordinates}$ ,

$x_2-x_1=\text{Difference between same x-coordinates of two y-coordinates}$

Upon substituting coordinates of our given points in slope formula we will get,

$m=\frac{104-144}{300-250}$

$m=\frac{-40}{50}$

$m=-\frac{4}{5}$

Let us substitute $m=-\frac{4}{5}$ coordinates of point (250,144) in slope intercept form of equation ( $y=mx+b$ ).

$144=-\frac{4}{5}*250+b$

$144=-4*50+b$

$144=-200+b$

$144+200=-200+200+b$

$344=b$

Upon substituting $b=344$ and $m=-\frac{4}{5}$ we will get equation of our demand line as:

$y=-\frac{4}{5}x+344$

Similarly we will find the equation of supply line using points (225,88) and (315,168).

$m=\frac{168-88}{315-225}$

$m=\frac{80}{90}$

$m=\frac{8}{9}$

Let us substitute $m=\frac{8}{9}$ and coordinates of point (225,88) in slope intercept form of equation ( $y=mx+b$ ).

$88=\frac{8}{9}*225+b$

$88=8*25+b$

$88=200+b$

$88-200=200-200+b$

$-112=b$

Upon substituting $b=-112$ and $m=\frac{8}{9}$ we will get equation of our supply line as:

$y=\frac{8}{9}x-122$

Let us equate both lines to find the point where both lines intersect.

$-\frac{4}{5}x+344=\frac{8}{9}x-122$

$-\frac{4}{5}x-\frac{8}{9}x+344=\frac{8}{9}x-\frac{8}{9}x-122$

$-\frac{4}{5}x-\frac{8}{9}x+344=-122$

$-\frac{4}{5}x-\frac{8}{9}x+344-344=-122-344$

$-\frac{4}{5}x-\frac{8}{9}x=-466$

Let us have a common denominator.

$-\frac{4*9}{5*9}x-\frac{8*5}{9*5}x=-466$

$-\frac{36}{45}x-\frac{40}{45}x=-466$

$\frac{-36-40}{45}x=-466$

$\frac{-76}{45}x=-466$

$\frac{-76}{45}*\frac{45}{-76}x=-466*\frac{45}{-76}$

$x=466*\frac{45}{76}$

$x=6.1315789473684211*45$

$x=275.9210526315789495\approx 275$

Let us substitute x=275 in any of our equation to solve for y.

$y=-\frac{4}{5}*275+344$

$y=-4*55+344$

$y=-220+344$

$y=122$

Therefore, the equilibrium point for the market will be (275,122).

5 0

3 years ago

Which statement explains the relationship of sides BA and B'A' after rectangle BADC has been rotated 90° clockwise about the ori

worty [1.4K]

Answer:

Side B'A has a slope of 1 and is perpendicular to side BA

Step-by-step explanation:

When rotating clockwise 90 degrees x,y will become y,-x so lets apply this to the points.

A=(3,5) -->(5,-3)

B=(1,3)-->(3,-1)

C=(5,-1)-->(-1,-5)

D=(7,1)-->(1,-7)

Now that we have the coordinates for A'B'C'D' we will graph both rectangles, (you can do this using Geogebra you wont need an account)once graphed we can draw a long straight line using a straightedge through points BA and B'A' to see that they eventually intersect and the line through B'A' goes through 1 on the x-axis.

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4 years ago

Read 2 more answers

How many solutions are there for the system of equations shown on the graph? (4 points) 8- 74 6- 5- 3 2- -7-65-4 -3 -2 2 3 4 5 6

Yanka [14]

Answer:

None.

Step-by-step explanation:

For graphs of a system, the 'solutions' are points where the graps intersect each other.

Here, the graphs are parallel, so there are NO intersections = no solutions.

If they intersected at one point, there would be one solution.

If they were really the same line, they would intersect all along the infinite line, so there would be an infinite number of solutions.

In a plane, those are the only three coices for two lines.

5 0

3 years ago