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3 years ago

What is the area of the composite figure?

Mathematics

1 answer:

Lilit [14]3 years ago

8 0

Answer:

Step-by-step explanation:

The composite figure consists of a triangle and a semicircle.

The area (A) of the triangle is calculated as

A = 0. 5 bh ( b is the base and h the perpendicular height )

here b = 2 × 4 = 8 and h = 3, thus

A = 0.5 × 8 × 3 = 12 in²

The area (A) of the semicircle is calculated as

A = 0.5πr² ← r is the radius = 4, thus

A = 0.5π ×4² = 0.5 = 0.5π × 16 = 8π

Sum the 2 areas together for area of composite shape, that is

area of composite shape = ( 8π + 12 ) in² → B

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The graphs of f(x)=2x+4 and g(x)=10−4x intersect at (1, 6) . What is the solution of the equation 2x+4=10−4x ?

Gnoma [55]

Answer:

x=1 is the solution of the equation 2x+4=10−4x

Step-by-step explanation:

The graphs of f(x)=2x+4 and g(x)=10−4x intersect at (1, 6)

2x +4 = 10 - 4x

We need to solve for x by combining like terms

Add 4x on both sides

6x + 4= 10

Now subtract 4 on both sides

6x = 6

divide both sides by 6

x= 1

x=1 is the solution of the equation 2x+4=10−4x

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3 years ago

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4 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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A public beach in Florida charges non residents $8 per day for a fishing license and $2.50 per day for live bait. Florida reside

melamori03 [73]

For a non-resident:

$C_{nr}=8d+2.5d=10.5d$

For a resident:

$C_{r}=114+1d$

We want to know the number of days $d$ such that the two costs are equal ie $\{d|C_{nr}(d)=C_{r}(d)\}$

To do this set the two costs equal to each other:

$C_{nr}=C_{r}$

$10.5d=114+1d$

And solve for d:

$10.5d-1d=114+1d-1d$

$9.5d=114$

$d=\frac{114}{9.5}$

$d=12$

The costs will be equal when a resident and a non-resident each use the beach for 12 days.

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3 years ago