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3 years ago

A pentagon has interior angles of 104°,

Mathematics

1 answer:

Elodia [21]3 years ago

7 0

Answer:

108

Step-by-step explanation:

Interior angles in a pentagon add up to 540 degrees. So we first need to find the total sum of all the known angles. We do this by calculating 104+108+112=324.

Now we need to find the total sum of the unknown angles, and we do this buy calculating 540-324=216.

The final step is to find the size of one of the 2 remaining angles, and since we know they are equal, we just have to divide by 2. So, 216/2=108. This is our final answer.

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Given f(x) = | – 5 – 4x| ,find the following:

jasenka [17]

Answer:

$f(10) = 35 \\ \\ f( - 11) = 39 \\ \\ f(12) = 53 \\ \\ f(2) = 13$

Step-by-step explanation:

$f(x) = | - 5 - 4x|$

To solve for the following substitute the value of x in the brackets into the above formula and solve for the value of x

NB:  Absolute value of a negative number is the same number but positive.

So we have

$f( - 10) = | - 5 - 4( - 10)| \\ = | - 5 + 40| = 35 \\ \\ f( - 11) = | - 5 - 4( - 11)| \\ = | - 5 + 44| = 39 \\ \\ f(12) = | - 5 - 4(12)| \\ = | - 5 - 48| \\ = | - 53| = 53 \\ \\ f(2) = | - 5 - 4(2)| \\ = | - 5 - 8| = | - 13| \\ = 13$

Hope this helps you

6 0

3 years ago

Read 2 more answers

Each morning librarians place 560 books on a book shelf in the school library. Each student that visits library that day takes e

Alex73 [517]

Answer:

Step-by-step explanation:

560=3s+b

560=3×150+b

b=560-450=110

when s=149,b=560-3×149=560-447=113

s=2,b=560-3×2=560-6=554

s=1,b=560-3×1=557

s=0,b=560-3×o=560

so domain of b={110,113,116,...,554,557,560}

7 0

3 years ago

if i I wanted to be precise, how can I express the exact circumference for the circumference given the diameter

sveticcg [70]

The formula for circumference is $\pi d$ .

To express the circumference exactly, plug the diameter in for $d$ and put the $\pi$ symbol in front of it. Don't multiply. This expresses the exact circumference.

Say you have the diameter of 17.
You can express the circumference with 17 $\pi$ .

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3 years ago

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LekaFEV [45]

Answer:

Step-by-step explanation:

A = ½(b1 + b2)h

A = (3 + 5)(3)/2

A = 12

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3 years ago

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musickatia [10]

Answer:

.25

Step-by-step explanation:

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2 years ago