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2 years ago

What is the area of the parallelogram shown above

Mathematics

1 answer:

adoni [48]2 years ago

8 0

The area of the parallelogram is 55 square feet

<h3>How to determine the area of the parallelogram?</h3>

From the figure, we have the following dimensions:

Height = 5 ft

Base = 11 ft

The area of the parallelogram is calculated as:

Area = Base * Height

This gives

Area = 5ft * 11ft

Evaluate the product

Area = 55 square feet

Hence, the area of the parallelogram is 55 square feet

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Find the average value fave of the function f on the given interval. f() = 5 sec2(/6), 0, 3 2

Inessa05 [86]

Answer:

$f_{ave}$ = ${\frac{10 }{3\pi }$

Step-by-step explanation:

To find - Find the average value fave of the function f on the given interval. f(x) = 5 sec²(x/6), [0, 3 $\pi$ /2]

Proof -

We know that,

Average value of f in the interval [a, b] is -

$f_{ave}$ = $\frac{1}{b - a}\int\limits^b_a {f(x)} \, dx$

Now,

Here a = 0, b = $\frac{3\pi }{2}$ , f(x) = $5sec^{2}(\frac{x}{6} )$

Now,

$f_{ave}$ = $\frac{1}{\frac{3\pi }{2} - 0}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx$

= ${\frac{2 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx$

= ${\frac{10 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {sec^2 ({\frac{x}{6} }) } \, dx$

= ${\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) }|^{\frac{3\pi }{2} }_0 \, ]$

= ${\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) - tan({0) } \, ]$

= ${\frac{10 }{3\pi }}[ {1 - 0 } ]$

= ${\frac{10 }{3\pi }$

⇒ $f_{ave}$ = ${\frac{10 }{3\pi }$

3 0

3 years ago

Which expression is equalvalent to (7x - 5) - (3x - 2)

vagabundo [1.1K]

Answer:4x-3

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

There are 165 deer in a state park. The population is increasing at the rate of 12% per year. Enter a prediction for how long it

Paha777 [63]

The deer population will reach 309 in approximately 6 yrs

Year 1. 165•1.12=184.8
Year 2. 184.8•1.12=206.976
Year 3. 206.976•1.12=231.813
Year 4. 231.813•1.12=259.63
Year 5. 259.63•1.12=290.785
Year 6. 290.785•1.12=325.679

Therefore it will take 6 years for the deer’s population to reach 300

8 0

3 years ago

How do I solve n+6 for n=9

kogti [31]

Answer:

Step-by-step explanation:

n + 6

for

n = 9

then:

9 + 6 = 15

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