Answer:
Distance of object = 0.0144 meter
Step-by-step explanation:
Given:
Angular diameter = 30 arcseconds = 30[100 / 3600]
Length of diameter = 10 cm
Find:
Distance of object
Computation:
Distance of object = [(2)(a)][TanФ / 2]
Distance of object = [(2)(10)][Tan(300 / 7200]
Distance of object = [20][Tan 0.04167]
Distance of object = [20][0.00072]]
Distance of object = 0.0144 meter
(2xy)^4=4x^a(y^b)4xy
16x^4y^4=16x^(a+1)y^(b+1)
4=a+1 4=b+1
3=a 3=b
Remember that if two angles are supplementary, then the sum of their measures is 180°. So if the measure of an angle is 135 degrees. What is the measure of its supplement?
If the measure of an angle is 135°,
then the measure of its supplement is 45°.
We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 135 or 45°.
The equations are e = 18+12t and a = 45+9t
Adrian will be father along in the book after 4 days. She will be 15 pages ahead of Ethan
Ethan's page number at the beginning of the month = 18
Adrian's page number at the beginning of the month = 45
Pages read by Ethan each day = 12 pages
Pages read by Adrian each day = 9 pages
Let e represent the page of the book that Ethan is on at the end of t days into the month. Let a represent the page of the book that Adrian is on at the end of t days into the month.
Formulating the equation we get the following:
e = 18 + 12t
a = 45 + 9t
Finding the page number of both Ethan and Adrian after 4 days by substituting the values in the equations we get:
e = 18+12(4)
e = 66
a = 45 + 9(4)
a = 81
Learn more about linear equations:
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Answer:
1.6 cups of sugar
Step-by-step explanation:
Ashley would need 1.6 cups of sugar because she is making 4 batches of cookies, and each batch would need 0.4 cups of sugar. Therefore, you would multiply 0.4x4, which is 1.6
hope it helps!