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astra-53 [7]
3 years ago
9

Please help me! Geometry! Transition math

Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0

Answer:

total area = 18.28 in.^2

perimeter = 16.28 cm

Step-by-step explanation:

Area:

The total area of the figure is the sim of the area of the rectangle and the area of the semicircle.

total area = LW + (1/2)(pi)r^2

total area = (4 in.)(3 in.) + (1/2)(3.14)(2 in.)^2

total area = 12 in.^2 + 6.28 in.^2

total area = 18.28 in.^2

Perimeter:

The perimeter of the figure is the sum of the lengths of the left side, bottom side, and right side of the rectangle and the circumference of the half circle.

perimeter = 3 cm + 4 cm + 3 cm + (1/2)(pi)d

perimeter = 10 + (1/2)(3.14)(4 cm)

perimeter = 10 + 6.28 cm

perimeter = 16.28 cm

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What is the equation of a line that is perpendicular to y=0.25x-7 and passes through the point -6,8
Olenka [21]

Answer:

The equation ls: y = -4x - 16

Step-by-step explanation:

Given the point (-6, 8)

Given the line y = .25x - 7

Use a fraction:

y = 1/4x - 7

The slope is 1/4 (or .25)

The slope of a perpendicular line is the negative inverse or -4.

Use the point slope form and substitute:

y - y1 = m(x - x1)

y - 8 = -4(x - (-6))

y - 8 = -4x - 24

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Proof:

f(-6) = -4(-6) - 16

= 24 - 16

= 8, giving (-6, 8)

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3 years ago
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Answer:

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Step-by-step explanation:

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The question requires us to find the average change in field position on each run of the running back for the Bulldogs football team which carried the ball 5 times for a total loss of 11 1/4 yards.

The number 11 1/4 is mixed, to express it as an improper fraction, we add the numbers like

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We now need to separate the improper fraction to a mixed number, let's just divide 9 by 4 to get 2 as the quotient and 1 for the remainder, thus

\boxed{\displaystyle \frac{9}{4}=2\ \frac{1}{4}}

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