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Bas_tet [7]
3 years ago
13

The term-to-term rule for a different sequence is

Mathematics
1 answer:
sergeinik [125]3 years ago
6 0

Answer: 183

Step-by-step explanation: in order to find the 1st term we need to solve it the opposite way.if the rule is divide 5 then we will multiply 5 and add 7 will be subtract 7 so 38 x 5 = 190, 190 - 7 = 183.

hope it helped :)

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Given that A=27, B=43 and c=17, solve triangle ABC to the nearest hundredth
katrin2010 [14]
When we are given 3 sides, we try to solve the angles first by using the
law of cosines
cos (A) = [b^2 + c^2 - a^2] / (2 * b * c)
cos (A) = [43^2 + 17^2 -27^2] / (2 * 43 * 17)
cos (A) = [1,849 + 289 -729] / <span> <span> <span> 1,462
</span></span></span>cos (A) = 1,409 / 1,462
cos (A) = <span> <span> <span> 0.96374829001368
Angle A = 15.475

Now that we have one angle, we next can use the
Law of Sines
sin(B) / side b = sin(A) / side a
sin(B) = sin(A) * sideb / sidea
</span></span></span><span>sin(B) = sin(15.475) * 43 / 27
</span><span>sin(B) = 0.26682 * 43 / 27
sin (B) = </span><span>0.424935555555</span>
Angle B = 25.147 Degrees
Remember the arc sine (<span>0.424935555555) also equals </span> <span> <span> <span> 154.85

</span></span></span>Finally, calculating the third angle is quite easy
Angle C =  180 - Angle (A) - Angle(B)
Angle C =  180 - 15.475 - 154.85
Angle C =  9.675

Source:
http://www.1728.org/trigtut2.htm


6 0
2 years ago
The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9
mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

<em>The height </em>h(t)<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>h(t) = 3 +90\cdot t -16\cdot t^{2}<em>, where </em>t<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

3+90\cdot t -16\cdot t^{2} = 84

16\cdot t^{2}-90\cdot t +81 = 0 (1)

By Quadratic Formula:

t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}

t_{1} = 4.5\,s, t_{2} = 1.125\,s

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

3 0
2 years ago
Which of following not a way to represent the solution of inequality 5(x + 2) GREATER THAN OR EQUAL TO 7x + 2(x − 1)?
mixer [17]
So because it says NOT a way....I think it's A...Maybe I'm wrong but whatever.
6 0
3 years ago
Read 2 more answers
Francesca’s Labrador retriever has delivered a litter of five puppies. Two are chocolate, two are yellow, and one is black. The
anyanavicka [17]

Answer:

50-50 chance of black puppy

Step-by-step explanation:

4 0
2 years ago
You earned $204 from your job last week. You have two relatives with birthdays coming up and you want to
horrorfan [7]

Answer: $62

Step-by-step explanation:

From the question, we are informed that someone earned $204 from a job last week and has two relatives with birthdays coming up and wants to

spend the same amount on each of them but still wants to have $80 left.

To calculate the amount of gift spent on each, we have to deduct $80 from $204 firstly. This will be:

= $204 - $80

= $124

This means that the person will spend $124 on both of them, then we divide $124 by 2. This will be:

= $124/2

= $62

The amount spent on each gift will be $62.

7 0
3 years ago
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