Please help me with this

Which step should be used to prove that point P is equidistant from points R and Q

nydimaria [60]

Step-by-step explanation:

1. If any one side and any one common angle are equal in triangles PQR and PRS, then their corresponding sides are also equal.

2. If two sides and one included angle are equal in triangles PQS and PRS, then their third sides are equal.

3. In triangles PQR and PQS, if one side and one angle are equal, then their corresponding sides and angles are also equal.

4. In triangles PRS and PQS, all three angles are equal.

6 0

3 years ago

50 POINTS

Marina86 [1]

vi is going in the positive direction (up). (That's my choice). a (acceleration) is going in the minus direction (down). The directions could be reversed.

Givens

vi = 160 ft/s

vf = 0 (the rocket stops at the maximum height.)

a = - 9.81 m/s

t = ????

Remark

YOu have 4 parameters between the givens and what you want to solve. Only 1 equation will relate those 4. Always always list your givens with these problems so you can pick the right equation.

Equation

a = (vf - vi)/t

Solve

- 32 = (0 - 160)/t Multiply both sides by t

-32 * t = - 160 Divide by -32

t = - 160/-32

t = 5

You will also need to solve for the height to answer part B

t = 5

vi = 160 m/s

a = - 32

d = ???

d = vi*t + 1/2 a t^2

d = 160*5 + 1/2 * - 32 * 5^2

d = 800 - 400

d = 400 feet

Part B

You are at the maximum height. vi is 0 this time because you are starting to descend.

vi = 0

a = 32 m/s^2

d = 400 feet

t = ??

formula

d = vi*t + 1/2 a t^2

400 = 0 + 1/2 * 32 * t^2

400 = 16 * t^2

400/16 = t^2

t^2 = 25

t = 5 sec

The free fall takes the same amount of time to come down as it did to go up. Sort of an amazing result.

6 0

3 years ago

Grant's credit card has an apr of 11.28% and it just changed its compounding period from monthly to daily . What happen to the i

madreJ [45]

Answer:

C. It will increase by about 0.6%

Step-by-step explanation:

Since, the effective interest rate is,

$r=(1+\frac{i}{n} )^{n} -1$

Where, i is the stated interest rate,

n is the number of compounding periods,

Here, i = 11.28 % = 0.1128,

n = 365 ( 1 year = 365 days ),

Hence, the effective interest rate would be,

$r=(1+\frac{0.1128}{365})^{365} -1$

=0.119388521952

Now, the changes in effective interest rate = Effective interest rate - Stated interest rate

= 0.119388521952 - 0.1128

= 0.006588521952 ≈ 0.006 = 0.6 %

Hence, It will increased by about 0.6 %,

Option A is correct.

Hope this helps :)

7 0

3 years ago

8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in 30 minutes. Do they type at the same rate? Use a proportion to expla

qaws [65]

Answer:

Yes

Step-by-step explanation:

Lisa and Frank type at the same rate.

They both type 1 page every six minutes.

Lisa types 6 pages every 36 minutes, and if we divide the minutes by the pages, we get

$\frac{36}{6} = 6$

And Frank types 5 pages ever 30 minutes, when we divide we get

$\frac{30}{5} = 6$

3 0

2 years ago

Bradley answered 80% of the questions on his science test correctly. There were 30 questions on the test, and all the questions

son4ous [18]

Answer:

24 correct questions

Step-by-step explanation:

8 0

3 years ago

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