MATHEMATICS HIGH SCHOOL

Find the area of the triangle.
A.54
B.18
C.36
D.27

Answers

Answer 1

Answer:

Answer:

B. 18

Step-by-step explanation:

Base: 3-(-6)=9

Height: 6-2=4

Area =1/2bh = 1/2(9)(4)= 18 square units

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Find the 30th term of the following sequence.2, 8, 14, 20, ...

174
176
180
182
Can someone please help me?

Answers

Hello,

$u_(1) =2\n u_(2) =2+6\n u_(3) =2+2*6\n u_(4) =2+3*6\n...\n u_(n) =2+(n-1)**6\n u_(30) =2+29*6=176\n$

Answer B

So first u have to find the nth term, here the nth term is : 6n-4
Then replace the n with term that u want so:
6(30) - 4
= 180-4
=176
So it's B

The blades of a windmill turn on an axis that is 30 feet from the ground. The blades are 10 feet long and complete 2 rotations every minute. Write a sine model, y = asin(bt) + k, for the height (in feet) of the end of one blade as a function of time t (in seconds). Assume the blade is pointing to the right when t=0 and that the windmill turns counterclockwise at a constant rate.

Answers

The sine model is y=10 sin(1/30 t) + 30. The 30 represents default distance from the ground, and the ten is required to represent the length of the blades. Every 30 seconds, one rotation completes, so t must be multiplied by 1/30.

The sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) is; y = 30sin(πt/15) + 30

How to solve Sine Functions?

The period of a sine function is represnted as;

b = 2π

This period is usually repeated after each 2π units.

The sine model is expressed as;

y = a(sin (bt)) + k

We are told that the blades are 10 feet long and complete 2 rotations every minute. Thus the period is;

b = (2π/60) * 2

b = π/15

The blades of a windmill turn on an axis that is 30 feet from the ground and the blades are 10 ft long. Thus,

k = 30 and a = 10

Plugging the relevant values into the given formula gives;

y = 30sin(πt/15) + 30

Thus, the sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) is;

y = 30sin(πt/15) + 30

Read more about sine functions at; brainly.com/question/9565966

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Ellen Saver went to her bank. She had a balance of $2,447.67 in her savings account. She withdrew $231.49 and the teller credited her account with $36.61. What is her new balance?$2,179.57
$2,252.79
$2,642.77
$2,715.77

Answers

Answer:

The new balance of her saving account is $ 2252.79

Step-by-step explanation:

Given : Ellen Saver went to her bank. She had a balance of $2,447.67 in her savings account. She withdrew $231.49 and the teller credited her account with $36.61.

We have to determine the new account balance.

Since inital balance is $ 2,447.67

ans she withdraw $ 231.49 that is taken ouu so we subtract from inital balance.

thus, balance after withdraw is (2447.67 - 231.49) = $ 2216.18

Now, the teller credited the account with $ 36.61 that is $ 36.61 is added to the account.

So, new balance after credit $ 36.61 is $(2216.18 + 36.61) = $ 2252.79

Thus, the new balance of her saving account is $ 2252.79

Given:

Beginning Balance: 2,447.67
Less: Withdrawal 231.49
Total 2,216.18
Add: Credit to acct 36.61
Ending Balance 2,252.79

The new balance is $2,252.79

a childrens book has dimensions 20cm by 24cm what scale factor should be used to make a enlarged version that has dimensions 25cm by 30cm

Answers

A scale factor of 1.25, also written as 1 1/4 should be used

In which one of the following pairs of angles are the angles always equal to each other

Answers

Although you have not presented any choices for this question, I will proceed on discussing what the possible answer might be depending on the description you gave. The answer to this mathematical question would be vertical angles. This is because vertical angles are always equal to each other.

Marcus has 731 books he puts about the same number of books each of nine shelves in a bookcase about how many books are on each shelf