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34kurt
3 years ago
14

Let f(x) = sin(x) + icos(x). Show that |f(x)| = 1.

Mathematics
1 answer:
Oksanka [162]3 years ago
5 0
F(x) = sin(x) + icos(x)
|f(x)| = sqrt(sin^2(x) + cos^2(x)) = sqrt(1) = 1

Therefore, |f(x)| = 1
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The oblique pyramid has a square base. What is the volume of the pyramid? 2.5 cm3 5 cm3 6 cm3 7.5 cm3
Olenka [21]

Take a look at the attachment below. It fills in for the attachment that wasn't provided in the question -

An oblique pyramid is one that has a top not aligned with the base. Due to this, the height of the pyramid connects with two vertices at its ends to form a right angle present outside the pyramid, knowing that it is always perpendicular to the base. There is no difference between the calculations of the volume of an oblique pyramid and a pyramid however -

\\Base Area = 2 cm * 2 cm = 4 cm^2,\\Volume ( Pyramid ) = 1 / 3 * ( Base Area ) * ( Height ),\\Volume = 1 / 3 * ( 4 ) * ( 3.75 ),\\-------------------------\\Volume = 5 cm^3

<u><em>And thus, you're solution is 5 cm^3, or in other words option b!</em></u>

3 0
3 years ago
A new van is bought for $30,000 and depreciates in value by 8. 4% per year
Kobotan [32]

Answer:

2520 decrease per year

Step-by-step explanation:

8.4% is also .084 so you multiply .084 by 30,000 and get 2520.

5 0
2 years ago
Pat made a total of 48 pottery plates and cups. if she made twice as many plates as cups, how many plates did she make?
ddd [48]
If C stands for cups, solve for C

48 - 2c = 0
    l
subtract 48 from each side.
    l
2c=-48
    l
divide 48 by 2 --->  24.



3 0
3 years ago
Read 2 more answers
On two tests so far this year, a student received a 78 and a 93. The student wants an average between 80 and 90 inclusive. What
Mariulka [41]
<span>240 <= 171 + x <= 270
and now subtract 171 from all and get
69 <= x <= 99
So any score from 69 to 99 will do.</span>
8 0
3 years ago
What is third of 1 5/8
stiv31 [10]

1 5/8 = 13/
8
= 1 5/
8
= 1.625
Spelled result in words is thirteen eighths (or one and five eighths).

How do you solve fractions step by step?
Conversion a mixed number 1 5/
8
to a improper fraction: 1 5/8 = 1 5/
8
= 1 · 8 + 5/
8
= 8 + 5/
8
= 13/
8


To find new numerator:
a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 8/
8
= 8/
8

b) Add the answer from previous step 8 to the numerator 5. New numerator is 8 + 5 = 13
c) Write a previous answer (new numerator 13) over the denominator 8.

One and five eighths is thirteen eighths
4 0
3 years ago
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