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goldfiish [28.3K]

3 years ago

15

If the sin 30° = , then the cos 60° = _____. 0, because the angles are complementary , because the angles are complementary , be

cause the angles are complementary 1, because the angles are complementary

2 answers:

g100num [7]3 years ago

7 0

Answer:

1 is the answer

Step-by-step explanation:

kramer3 years ago

5 0

Answer:

1

Step-by-step explanation:

You might be interested in

What transformations occur on the absolute value function for -4f(x+2)-5?

Temka [501]

-4fx + -8f - 5

I’m pretty sure that’s correct, might be wrong double check with someone else

7 0

3 years ago

**A rock dropped from a 100 foot tower.

mars1129 [50]

Answer:

2.83 s

Step-by-step explanation:

We are given that

$h(t)=-16t^2+10t+100$

When a rock reached the ground then h(t)=0

$-16t^2+10t+100=0$

$16t^2-10t-100=0$

Using quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$t=\frac{10\pm\sqrt{(-10)^2-4\times 16\times (-100)}}{2(16)}$

$t=\frac{10\pm\sqrt{100+6400}}{32}$

$t=\frac{10+\sqrt{6500}}{32}=2.83$

$t=\frac{10-\sqrt{6500}}{32}=-2.2$

Time cannot be negative .Therefore, negative value of t can not be possible.

Hence, the rock takes 2.83 sec to reach the ground.

8 0

4 years ago

Write a rule for each pattern. Then use your rule to find the next two terms in the pattern. The numbers are: 1, 3, 6, 10, 15, 2

Leya [2.2K]

Triangular Number Sequence

This is the Triangular Number Sequence:

<span>1, 3, 6, 10, 15, 21, 28, 36, 45, ...</span>

This sequence comes from a pattern of dots that form a triangle:

By adding another row of dots and counting all the dots we can
find the next number of the sequence.

A Rule

We can make a "Rule" so we can calculate any triangular number.

First, rearrange the dots (and give each pattern a number n), like this:

Then double the number of dots, and form them into a rectangle:

<span><span>The rectangles are n high and n+1 wide</span><span>and <span>xn</span> is how many dots in the triangle (the value of the Triangular Number n)</span></span>

And we get (remembering we doubled the dots):

<span>2xn = n(n+1)</span><span>xn = n(n+1)/2</span>

<span>Rule: xn = n(n+1)/2</span>

Example: the 5th Triangular Number is

x5 = 5(5+1)/2 = 15

Example: the 60th is

x60 = 60(60+1)/2 = 1830

Wasn't it much easier to use the formula than to add up all those dots?

5 0

3 years ago

Read 2 more answers

If measure of angle 1 = 2x+6 and measure of angle 2 = 8x+4 where angles 1 and 2 are supplementary, then how much is the actual m

nlexa [21]

Answer:

The actual measure of ∠1 = 40°

Step-by-step explanation:

We are given: ∠1 = 2x+6 and ∠2 = 8x+4

and both angles are supplementary. we need to find the actual measure of ∠1

Supplementary angles: If the angles are supplementary their sum is equal to 180°

In our case ∠1 +∠2 = 180°

2x+6+8x+4=180

Solving the equation to find x, then we can find the actual measure of ∠1

$2x+6+8x+4=180\\10x+10=180\\10x=180-10\\10x=170\\x=170/10\\x=17$

So, value of x = 17

Now, finding actual measure of ∠1 by putting x=17 in equation 2x+6

$\angle1=2(17)+6\\\angle1=34+6\\\angle1=40$

So, the actual measure of ∠1 = 40°

8 0

3 years ago

Jill gets a base pay of $1500 per month. She also earns a commission of 8% of her total sales. What are Jill's earnings for a mo

mart [117]

Answer:

$4060.

Step-by-step explanation:

We have been given that Jill gets a base pay of $1500 per month. She also earns a commission of 8% of her total sales. We are asked to find Jill's earnings for a month in which she has sales of $32,000.

Jill's earnings for the month would be base salary pus 8% of $32,000.

$\text{Jill's total earnings for the month}=\$1500+\$32,000\times \frac{8}{100}$

$\text{Jill's total earnings for the month}=\$1500+\$320\times8$

$\text{Jill's total earnings for the month}=\$1500+\$2560$

$\text{Jill's total earnings for the month}=\$4060$

Therefore, the Jill's earnings for the given month would be $4060.

7 0

3 years ago