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2 years ago

What theorem is it using the choices ?

Mathematics

2 answers:

Law Incorporation [45]2 years ago

6 0

They are similar by the Side-Side-Side Theorem.

The smaller triangle is 3/4 of the second triangle:
90/120; divide each by 10, = 9 / 12 which simplifies to 3/4

135/180; divide each by 15, = 9 / 12 which simplifies to 3/4

117/156; divide each by 13, = 9 / 12 which simplifies to 3/4

siniylev [52]2 years ago

4 0

It is using the bottom

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A particle moves on a straight line and has acceleration a(t)=24t+2. Its position at time t=0 is s(0)=3 and its velocity at time

user100 [1]

Answer:

It's position at time t = 5 is 593.

Step-by-step explanation:

The velocity v(t) is the integral of the acceleration a(t)

The position s(t) is the integral of the velocity v(t)

We have that:

The acceleration is:

$a(t) = 24t + 2$

Velocity:

$v(t) = \int {a(t)} \, dt = \int {24t + 2} \, dt = 12t^{2} + 2t + K$

K is the initial velocity, that is v(0). Since V(0) = 13, K = 13

Then

$v(t) = 12t^{2} + 2t + 13$

Position:

$s(t) = \int {s(t)} \, dt = \int {12t^{2} + 2t + 13} \, dt = 4t^{3} + t^{2} + 13t + K$

Since s(0) = 3

$s(t) = 4t^{3} + t^{2} + 13t + 3$

What is its position at time t=5?

This is s(5).

$s(t) = 4t^{3} + t^{2} + 13t + 3$

$s(5) = 4*5^{3} + 5^{2} + 13*5 + 3$

$s(5) = 593$

It's position at time t = 5 is 593.

3 0

2 years ago

Which statement is not always true?

Dafna1 [17]

Which statement is not always true?(1) The product of two irrational numbers is irrational.
(2) The product of two rational numbers is rational.
(3) The sum of two rational numbers is rational.
(4) The sum of a rational number and an irrational number is irrational.
The statement that is not always true is the <span>sum of two rational numbers is rational. The answer is number 3.</span>

6 0

2 years ago

Find the volume of the composite solid. Round your answer to the nearest tenth.

elixir [45]

Answer:

Nasaan ang boung question

Step-by-step explanation:

Is 2,4,6,7,9,10

Yan ang nearest tenth

Pinag aralan namin Yan

I hope I help you

4 0

3 years ago

Karen is seven years older than suzanne.Four years ago,karen was twice as old as suzanne was.How are they now?

EleoNora [17]

$K-Karen\ age\\S-Suzanne\ age\\K-4-Karen\ age\ 4\ years\ ago\\S-4-Suzanne\ age\ 4\ years\ ago\\\\ \left\{\begin{array}{ccc}K=S+7\\K-4=2(S-4)\end{array}\right\\\left\{\begin{array}{ccc}K=S+7&(1)\\K-4=2S-8&(2)\end{array}\right\\\\subtitute\ (1)\ to\ (2):\\\\(S+7)-4=2S-8\\S+7-4=2S-8\\S+3=2S-8\ \ \ \ |subtract\ 3\ from\ both\ sides\\S=2S-11\ \ \ |subtract\ 2S\ from\ both\ sides\\-S=-11\\\boxed{S=11}$

$Put\ the\ value\ of\ S\ to\ (1):\\\\K=11+7\\\boxed{K=18}\\\\\left\{\begin{array}{ccc}K=18\\S=11\end{array}\right\\\\Answer:\ Karen\ does\ 18\ years\ and\ Susanne\ does\ 11\ years.$

3 0

3 years ago

Read 2 more answers

The local farmers market has oranges on sale for 5 for 1.80 <br><br>What is the cost of one orange ?

lara [203]

Answer:.36 cent

1Step-by-step explanation:1.80 divided by 5

5 0

2 years ago