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Ivan
3 years ago
9

Find area of this shape

Mathematics
1 answer:
creativ13 [48]3 years ago
3 0
Add all of the numbers tougher and that will give you your answer
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Find two positive numbers satisfying the given requirements. The product is 432 and the sum of the first plus three times the se
kogti [31]

Answer:

<h3>36 and 12</h3>

Step-by-step explanation:

Let the two positive integers be x and y.

If their product is 432, then

xy = 432 ......... 1

Also if the sum of the first plus three times the second is a minimum, then;

p(x) = x + 3y

From 1;

y = 432/x ..... 3

Substitute 3 into 2;

p(x) = x+3y

p(x)= x + 3(432/x)

p(x) = x + 1296/x

Since the expression is at minimum when dp(x)/dx = 0

dp/dx = 1 + (-1296)/x²

dp/dx = 1  -1296/x²

0 =  1  -1296/x²

0 = (x²-1296)/x²

cross multiply

0 = x²-1296

x² = 1296

x = √1296

x = 36

Since xy = 432

36y = 432

y = 432/36

y = 12

Hence the two positive numbers are 36 and 12

4 0
2 years ago
How many 4/3 cup servings are in 8/3cups of ceral
ch4aika [34]

There are two servings size 4/3 cup in 8/3 cups of cereal

n = \dfrac{8/3 \textrm{ cups}}{4/3 \textrm{ cups/serving}} = 2 \textrm { servings}

Answer: 2



7 0
3 years ago
Identify the beginning of a sample period for the function: : f(t)=2csc(t+pi/4)-1
tamaranim1 [39]
ANSWER

- \frac{\pi}{4}

EXPLANATION

The given function is,

f(t) = 2 \csc(t + \frac{\pi}{4} ) - 1

This function has a period of
2\pi
just as the parent function

f(t) = \csc(t )

A sample period of this parent function is

[ 0 , 2\pi]

Which begins at zero.

For the transformed function,

f(t) = 2 \csc(t + \frac{\pi}{4} ) - 1
There has been a horizontal shift of
\frac{\pi}{4}
to the left.

The transformed function will have a sample period,

[ - \frac{\pi}{4} , \frac{7\pi}{4} ]

Therefore a sample period begins at

- \frac{\pi}{4}
5 0
3 years ago
What is the answer to this????
miss Akunina [59]

Answer:8

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
WILL MARK BRAINLIEST IF YOU ARE CORRECT!
mixas84 [53]
The laundry one is C
The ladder one is B.
6 0
3 years ago
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