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Lynna [10]
3 years ago
14

The figure below is made up of two rectangles.

Mathematics
1 answer:
Dmitry [639]3 years ago
7 0

Answer:

Total area of figure = [3x² + 7x + 6] feet²

Step-by-step explanation:

By dividing both rectangle by vertical line;

Given:

Length of big rectangle = (x + 3) feet

Width of big rectangle = (x + 2) feet

Length of small rectangle = 2x feet

Width of small rectangle = (x + 1) feet

Find:

Total area of figure

Computation:

Area of rectangle = Length x width

Total area of figure = Area of big rectangle + Area of small rectangle

Total area of figure = [(x + 3)(x + 2)] + [(2x)(x + 1)]

Total area of figure = [x²+ 2x + 3x + 6] + [2x² + 2x]

Total area of figure = [3x² + 7x + 6] feet²

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Determine if this relationship forms a direct variation. Verify your answer.
leva [86]

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

so


we have

a) for x=1 y=0.50--------> y/x=0.50/1------> 0.50

b) for x=2 y=1--------> y/x=1/2-------> 0.50

c) for x=3 y=1.50--------> y/x=1.50/3-----> 0.50

d) for x=5 y=2.50--------> y/x=2.50/5----> 0.50

the value of k is equal to 0.50

so

<span>the relationship forms a direct variation. </span>

the equation is

y=0.50*x


Verify

for x=1

y=0.50*(1)------> y=0.50-----> is correct


for x=2

y=0.50*(2)------> y=1.00-----> is correct


for x=3

y=0.50*(3)------> y=1.50-----> is correct


for x=5

y=0.50*(5)------> y=2.50-----> is correct

4 0
3 years ago
Read 2 more answers
Find the value of x that will make a||b help ?
nydimaria [60]

Answer:

x=30

Step-by-step explanation:

Find the value of x that will make A and B parallel

For A & B to be parallel, the interior angles must be supplementary, i.e.

4x+2x = 180

6x=180

x=30

When x=30, the interior angles are 120 and 60 which are supplementary.

4 0
3 years ago
Question five for geometry quiz
Helga [31]

The two tangents are parallel to each other because the two lines perpendicular to the same line are parallel to each other.

Lk + JK = JL




The answer is Parallel to each other
3 0
3 years ago
Find abc !!!!!!!! !!!!!
KonstantinChe [14]

Answer:

58 degreess

3x+11=4x-5

-3x      -3x

11=x-5

+5   +5

16=x

x=6

3(6)+11

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29

29*2

58

Step-by-step explanation:

8 0
2 years ago
Consider the vector b⃗ b→b_vec with length 4.00 mm at an angle 23.5∘∘ north of east. What is the y component bybyb_y of this vec
Stells [14]

Answer:

  • \large\boxed {1.59 mm}

Explanation:

<u>1. Given vector:</u>

  • length: 4.00 mm = magnitude of the vector
  • angle: 23.5º north of east = 23.5º from the x-axys (counterclockwise)

<u>2. y-component</u>

The y-component may be determined using the sine ratio, the angle from the x-axys (counterclockwise direction), and the magnitude of the vector.

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  • y-component = magnitude × sine (23.5º) = 4.00 mm × sine (23.5º) = 1.59 mm.

  • \large\boxed{y-component = 1.59 mm}

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3 years ago
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