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4 years ago

What is equal to sin 30

Mathematics

2 answers:

Jet001 [13]4 years ago

7 0

From the unit circle sin 30 = sin pi/6 = 1/2.

riadik2000 [5.3K]4 years ago

6 0

The sine of any angle is equal to the cosine of the complementary angle.

Complementary angle means two angles whose total equal to 90 degrees.

The complementary angle for 30 degrees is 90 degrees - 30 degrees or 60 degrees.

So, sin(30) = cos(60).

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Sterre charges $ 3 5 $35dollar sign, 35 to file tax returns, but files for free if she only needs the easiest form. Then she don

blagie [28]

Given:

$35 is charged per form, but $0 if only the easiest form is filed.
$2 donated for every single tax return filed (since it is not explicitly mentioned otherwise, I will assume she donates $2 whether she charges $35 or does it for free)
Total amount charged for the full year = $7245
Total amount donated for the full year = $1242

To Find: The number of forms for which Sterre charged $35 and the number of forms Sterre did it for free.

Concept:

We can make use of the Unitary Method here. Given the number of units in a group, the Unitary Method can be used to find the value of a single unit or and individual unit when we are given the value for a group.

So,

Value of Single Unit = Value of Entire Group of Units ÷ Number of Units in the Group

Explanation & Calculation:

We are given that Sterre charged $7245 for the full year. Taking each Unit as the $35 type of form, and value of each Unit would be the amount that Sterre charges per form which is obviously $35, we can find the number of $35 forms using the expression written above.

So, putting in the values into the expression,

$35 = $7245 ÷ number of $35 forms

Therefore, number of $35 forms = $7245 ÷ $35

Using simple division, number of $35 forms = 207

Next, we are given Sterre donated $1242 in the full year and she donates $2 for every form (whether it is the $35 form or the free form).

If this time, we define each Unit as being each form (both $35 form and free form), value of each unit we define as the $2 donation money, we see that the value of the full group of units is $1242.

So, putting the values into the expression,

$2 = $1242 ÷ total number of forms

Therefore, total number of forms = $1242 ÷ $2

Using simple division, total number of forms = 621

Conclusion:

Sterre has filed a total of 621 tax returns (both charged and for free).

Of these 621 returns filed, for 207 forms, Sterre charged $35.

The number of returns Sterre filed for free (that is, the easiest forms) is

Total number of forms - Chargeable forms = 621 - 207 = 414

Thus, Sterre filed 414 tax returns for free.

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4 years ago

the area of the triangle formed by points of intersection of parabola y=a(x-3)(x+2) with the coordinate axes is 10. find a if it

Goshia [24]

Answer

1/4 × 6 × (5a) = 12

15a=12

a= 4/5

Step-by-step explanation:

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3 years ago

You buy a storage case that holds 170 collectible die-cast cars. You have 137 die-cast cars. Write an inequality that describes

Murljashka [212]

Answer:

137 + x <= 170

Step-by-step explanation:

The following inequality will describe this scenario.

137 + x <= 170

the variable x in this scenario represents the total number of cars that you will purchase. This number is added to the number of toy cars that you already own which is 137. As long as this sum is less than or equal to 170 then your storage case will hold them.

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3 years ago

Answer the question If you're right I'll MARK YOU BRAINLIEST!!

natka813 [3]

Answer:

$2x\sqrt{40x}-2x\sqrt{5}$

Step-by-step explanation:

$2x\sqrt{40x}-2x\sqrt{5}$ is found by first, siplifying the radicals in the parenthesis. $\sqrt{8x^{2} }$ can be simplified as $2x\sqrt{2}$ and $-2\sqrt{x}$ stays the same. Now we have to multiply these two by $\sqrt{5x}$ which then results in $2x\sqrt{40x}-2x\sqrt{5}$

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3 years ago

Becky is rolling a number cube with the number 1 through 6 what is the probability she will roll a 4 or 5

ryzh [129]

1/6 since there are 6 sides, therefore, there is a 1/6 chance that any number will be rolled

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3 years ago

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