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Sedaia [141]
2 years ago
13

1) Simplify the following expressions: a) sin²108° + sin² 18° ​

Mathematics
1 answer:
abruzzese [7]2 years ago
8 0

Note that

108° = 90° + 18°

so

sin(108°) = sin(90° + 18°) = sin(90°) cos(18°) + cos(90°) sin(18°) = cos(18°)

Then

sin²(108°) + sin²(18°) = cos²(18°) + sin²(18°) = 1

by the Pythagorean identity.

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A computer tablet is 0.24 meter long. How long is the computer tablet in centimeters?
sergij07 [2.7K]

Answer:

24 cm

Step-by-step explanation:

You multiply the meters You have by 100 so for example 0.24 X 100 = 24

so your answer should be 24 cm let me know if I'm wrong

8 0
3 years ago
Round each number to the nearest hundredth. What is the best estimate for the sum of 34.719 51.626? A. 86.35 B. 86.34 C. 86.33 D
NeX [460]
34.719 51.626 <span>Round each number to the nearest hundredth

</span>34.719 = 34.72
51.626 = 51.63
<span>
34.72 + 51.63 = 86.35

answer is </span><span>A. 86.35</span><span>


</span>
7 0
4 years ago
Read 2 more answers
Which of the following lines is not parallel to the graph of y=4x+7. y-4x=9 4x-y=8 . 4y-x=8 8x-2y=8
DENIUS [597]

y = 4x + 7

This equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. The slope of this line is 4. Parallel lines have the same slope, thus a line not parallel to this line will not have a slope of 4. Let's check which of these lines does not have a slope of 4.

y - 4x = 9

y = 9 + 4x (add 4x to both sides)

y = 4x + 9 (switch the constant and x-term)

This line has a slope of 4.

4x - y = 8

-y = 8 - 4x (subtract 4x from both sides)

y = -8 + 4x (divide both sides by -1)

y = 4x - 8 (switch the constant and x-term)

This line has a slope of 4.

4y - x = 8

4y = 8 + x (add x to both sides)

y = 8/4 + x/4 (divide both sides by 4)

y = x/4 + 2 (simplify and switch constant and x-term)

This line has a slope of 1/4. It is thus not parallel to the line y = 4x + 7.

Answer:

4y - x = 8

5 0
4 years ago
The following two functions have a common input, year t: R gives the average price, in dollars, of a gallon of regular unleaded
stiks02 [169]

Answer:

a) F(t) = R[P(t)]

b) the output units of the new function = F(t) in dollars per gallon

Step-by-step explanation:

a) There are two function R(t) which shows the average price in dollars of a gallon of regular unleaded gasoline and P(t) which shows the purchasing power of the dollar as measured by consumer prices based on 2010 dollars.

To write the function which gives the rice of gasoline in constant 2010 dollars ;

From the analysis , this is an example of a composition of function as such the relationship =

F(t) = R[P(t)]

b) the output units of the new function = F(t) in dollars per gallon

This shows that the value of F(t) is the dependent variable

5 0
3 years ago
Divide. −58÷(−14) Enter your answer in the box as a fraction or mixed number in simplest form.
igor_vitrenko [27]
It's 29/7 or 4 and 1/7 as the mixed number
3 0
3 years ago
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