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3 years ago

Help me on this problem

Mathematics

1 answer:

rjkz [21]3 years ago

3 0

$(a)\\\\\triangle HFG\sim\triangle HGE\sim\triangle GFE\\\\(b)\\\\\dfrac{FE}{GE}=\dfrac{GE}{HE}\qquad\qquad\dfrac{HF}{HG}=\dfrac{HG}{HE}$

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The following list gives the number of pets for each of 9 students.

german

Answer:

2,2,2

Step-by-step explanation:

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2 years ago

The function P(x)equals0.35xnegative 76 models the relationship between the number of pretzels x that a certain vendor sells an

r-ruslan [8.4K]

Answer:

$P(X=700) =0.35*700 -76= 169$

Step-by-step explanation:

For this case we have the following profit function:

$P(X) = 0.35 X -76$

And we are interested on find the profit after selling 700 pretzels, so we just need to replace X=700 into the profit function like this:

$P(X=700) =0.35*700 -76= 169$

The profit function is on the figure attached. We see that for 0<X<217 we have negative profits, and for X>217 we will have positive values for the profit. And also we can see that for X=700 we have a profit of approximately 169.

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3 years ago

What is the term used to describe the distance of a complex number from the origin in a complex plane?

IceJOKER [234]

In a rectangular form of a complex number, where a + bi, a and b equates to the location of the x and y respectively in a complex plane. The modulus |z| is the term used to describe the distance of a complex number from the origin. Hence, |z| = √(a²+b²)

3 0

2 years ago

Construction paper cost $0.10 per square inch. How much will Susan spend to make this figure out of construction paper?

AfilCa [17]

The will spend $33.60 (option C) to make the figure out of construction paper, if the construction paper cost $0.10 per square inch.

Step-by-step explanation:

The given is,

Construction paper cost $0.10 per square inch

Pyramid diagram with dimensions

Step:1

Formula to calculate the area of pyramid,

$Area, A = lw+l\sqrt{(\frac{w}{2}) ^{2} + h^{2} } +w \sqrt {(\frac {l} {2}) ^{2} + h^{2} }$ ..............(1)

Where,

l - Base length

w - Base width

h - Height of pyramid

From given,

l = 12 inches

w = 12 inches

For height of pyramid,

By using Pythagorean theorem,

$Hypotenuse^{2} = Base^{2} + Height ^{2}$ .................(2)

For right angle triangle,

Base = $\frac{12}{2}$ = 6 inches

Equation (2) becomes,

$8^{2} = 6^{2} + Height^{2}$

$Height^{2} = 8^{2} - 6^{2}$

$Height^{2} = 64 -36 = 28$

$Height = \sqrt{28}$

Height = 5.2915 inches

h - 5.2915 inches

Equation (1) becomes,

$A = (12)(12)+(12)\sqrt{(\frac{12}{2}) ^{2} + 5.2915^{2} } +(12 )\sqrt {(\frac {12} {2}) ^{2} + 5.2915^{2} }$

$= 144+(12)\sqrt{(36+27.999)} +(12)\sqrt{(36 + 27.999)}$

$= 144+(12)\sqrt{63.999}+(12)\sqrt{63.999}$

$= 144+(12)(7.9999)+(12)(7.9999)$

$=144+95.999+95.999$

$=335.998$

≅ 336 square inches

Where,

$0.10 per square inch ( from given)

Paper cost of total figure = 336 square inches

= 336 × 0.10

= $ 33.60

Result:

The will spend $33.60 to make the figure out of construction paper, if the construction paper cost $0.10 per square inch.

8 0

2 years ago

Which could be the area of a face of the rectangular prism?

rewona [7]

Answer:

D) 9 m2

Step-by-step explanation:

a rectangular prism has six rectangular faces or sides, its surface area is just the sum of the six faces, you can calculate the surface area with the formula 2 length width + 2 * width * height + 2 * height * length, where length, width and height.

8 0

2 years ago

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