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3 years ago

X + Y = 3,500 X - Y = 2,342

1 answer:

8 0

X + y = 3500 -------------- (1)
x - y = 2342 --------------- (2)

(1) + (2):
2x = 5842
x = 2921 -------------- Sub into (1)
x+ y = 3500
2921 + y = 3500
y = 3500 - 2921
y = 579

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Answer: x = 2921, y = 579
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3. Diego drew a scaled version of a Polygon P and labeled it Q.

bogdanovich [222]

Answer:

The scale factor used to go from P to Q is 1/4

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x -----> area of polygon Q

y -----> area of polygon P

$z^{2}=\frac{x}{y}$

we have

$y=72\ units^2$

Find the area of polygon Q

Divide the the area of polygon Q in two triangles and three squares

The area of the polygon Q is equal to the area of two triangles plus the area of three squares

see the attached figure N 2

Find the area of triangle 1

$A=(1/2)(1)(2)=1\ units^2$

Find the area of three squares (A2,A3 and A4)

$A=3(1)^2=3\ units^2$

Find the area of triangle 5

$A=(1/2)(1)(1)=0.5\ units^2$

The area of polygon Q is

$x=1+3+0.5=4.5\ units^2$

Find the scale factor

$z^{2}=\frac{x}{y}$

we have $y=72\ units^2$

$x=4.5\ units^2$

substitute and solve for z

$z^{2}=\frac{4.5}{72}$

$z^{2}=\frac{1}{16}$

square root both sides

$z=\frac{1}{4}$

therefore

The scale factor used to go from P to Q is 1/4

6 0

3 years ago

A streetlamp has a 20 ft shadow that makes a 40° angle with the ground. which expression represents the height of the street lam

Oduvanchick [21]

Answer:

20 sin 40° ≈ 12.86 ft

Step-by-step explanation:

Let the height of the street lamp be x

Opposite angle is 40° and the shadow, the hypotenuse of the formed triangle is 20 ft.

sin 40° = x/20
x = 20sin 40°
x ≈ 12.86 ft

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3 years ago

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Elena-2011 [213]

Answer:

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Step-by-step explanation:

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3 years ago

What is the distance between the points (10, -7) and ( 10, 9) on the coordinate plane?

xenn [34]

16 on the y-axis, 0 on the x axis

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3 years ago

Trina invited 60 people to her party and 42 said they would attend. What percent of people said they were NOT able to attend? Pl

Llana [10]

1. simplify 42/60 to 7/10 (42/60 divided by 2 is 21/30, 21/30 divided by 3 is 7/10)
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5 0

3 years ago

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