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3 years ago

I need help with this problem

Mathematics

1 answer:

Whitepunk [10]3 years ago

8 0

L = length w = width
Write System of Equations:
l = 2w
l + w = 66
Substitute 2w for l:
2w + w = 66
3w = 66
w = 22
Solve for l:
l = 2w
l = 2(22)
l = ww

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What is the area of the composite figure

lara [203]

Answer:

Area of composite figure = 216 cm²

Hence, option A is correct.

Step-by-step explanation:

The composite figure consists of two figures.

1) Rectangle

2) Right-angled Triangle

We need to determine the area of the composite figure, so we need to find the area of an individual figure.

Determining the area of the rectangle:

Given

Length l = 14 cm

Width w = 12 cm

Using the formula to determine the area of the rectangle:

A = wl

substituting l = 14 and w = 12

A = (12)(14)

A = 168 cm²

Determining the area of the right-triangle:

Given

Base b = 8 cm

Height h = 12 cm

Using the formula to determine the area of the right-triangle:

A = 1/2 × b × h

A = 1/2 × 8 × 12

A = 4 × 12

A = 48 cm²

Thus, the area of the figure is:

Area of composite figure = Rectangle Area + Right-triangle Area

= 168 cm² + 48 cm²

= 216 cm²

Therefore,

Area of composite figure = 216 cm²

Hence, option A is correct.

4 0

2 years ago

Each marble bag sold by Josh's Marble Company contains 7 yellow marbles for every 5 red marbles. If a bag has 25 red marbles, ho

elixir [45]

5 red : 7 yellow
25 red: ? Yellow

5 x 5 is 25 therefore the multiplier is 5
We multiply 7 by 5 which is 35

Therefore 24 red : 35 yellow

35 yellow marbles

8 0

2 years ago

If x=1/2y, which expression represents 1/x? 1/2y 2y -1/2y -2y

icang [17]

X=1/2y
so 1/x=2y simple

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2 years ago

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sammy [17]

Answer:

1:A(-6,-1) B(-14,0) C(-11,4)

2:D(6,-3) E(2,-3) F(3, -4.5) G(5, -4.5)

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Step-by-step explanation:

Before we begin, lets define the transformations:

(x, y)

T(a, b) = (x+a, y +b)

Rxaxis = (x, -y)

Ryaxis = (-x, y)

r(180, 0) = (-x, -y)

D.5(1/2x, 1/2y)

R(-90, O) = (-y, x)

1. T. A(6,-1) B(14,0) C(11,4)

Rx. A(6, 1) B(14,0) C(11,-4)

r180 A(-6,-1) B(-14,0) C(-11,4)

2. Rx D(-12,-6) E(-4,-6) F(-6, -9) G(-10, -9)

Ry D(12,-6) E(4,-6) F(6, -9) G(10, -9)

D.5 D(6,-3) E(2,-3) F(3, -4.5) G(5, -4.5)

3. Rx=1 H(-1,2) I(4, 2) J(4,-2) K(-1,-2)

T H(1,4) I(6, 4) J(6,0) K(1,0)

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3 years ago

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Andrej [43]

The original expression evaluates to 54.4 as shown in the first working.

_____
For some reason, 3.4 got transcribed to be 1.7 in the 3rd line of the second working. There is no math operation in the expression that requires 3.4 to be divided by 2.

7 0

3 years ago

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