David is going to invest $330 and leave it in an account for 20 years. Assuming the

Write an expression for the sequence of operations described below.

allsm [11]

Quotient refers to division:

(8/v)² ⇒ (8/v)(8/v) = 8*8 / v*v = 64/v²

When you raise a fraction to a power, you multiply the fraction by itself according to the power raised.

Then, do the usual steps of multiplying fractions.
1) multiply numerators.
2) multiply denominators
3) simplify fraction produced.

8 0

2 years ago

Train A and train B stops at Swindon at 10:30 . Train A stops every twelve minutes and train B stops every 14 Mins , when do the

Nata [24]

Answer: at 11:54

Step-by-step explanation:

Let's define the 10:30 as our t = 0 min.

We know that Train A stops every 12 mins, and Train B stops every 14 mins, they will stop at the same time in the least common multiple of 12 and 14.

To find the least common multiple of two numbers, we must do:

LCM(a,b) = a*b/GCD(a,b)

Where GCD(a, b) is the greatest common divisor of a and b.

In this case the only common divisior of 12 and 14 is 2.

So we have:

LCM(12, 14) = 12*14/2 = 84.

Then the both trains will stop 84 minutes after 10:30

one hour has 60 mins, so we can write 84 minutes as:

1 hour and 24 minutes = 1:24

Then they will stop at the same time at 10:30 + 1:24 = 11:54

4 0

2 years ago

If ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by what criterion?

Alborosie

No, not possible to tell that the the two triangles, ΔBAC and ΔCED

are similar ⇒ answer D

Step-by-step explanation:

Let us revise the cases of similarity

1. AAA similarity : two triangles are similar if all three angles in the first

triangle equal the corresponding angle in the second triangle

2. AA similarity : If two angles of one triangle are equal to the

corresponding angles of the other triangle, then the two triangles

are similar.

3. SSS similarity : If the corresponding sides of the two triangles are

proportional, then the two triangles are similar.

4. SAS similarity : In two triangles, if two sets of corresponding sides

are proportional and the included angles are equal then the two

triangles are similar.

In the two triangles BAC and CED

∵ m∠BAC = 17°

∵ m∠CED = 17°

∴ m∠BAC = m∠CED

But we need another pair of angles to prove that the two triangles are

similar by AA similarity criterion

<em>OR </em>

The lengths of sides BA , CA and CE , DE to show that

$\frac{BA}{CE}=\frac{CA}{DE}$ = constant ratio and prove that the

two triangles are similar by SAS similarity criterion

So it is not possible to prove that the two triangles are similar

No, not possible to tell that the the two triangles, ΔBAC and ΔCED

are similar

Learn more:

You can learn more about triangles in brainly.com/question/4354581

#LearnwithBrainly

5 0

2 years ago

Read 2 more answers

Mr Henderson has 2 bouncy ball vending machines , he buys one bag of the 27 millimeter balls and one bag of the 40 millimeter ba

weeeeeb [17]

I think 32
But I'm not 100% sure

3 0

2 years ago

Read 2 more answers

Which statements are true Select three options.

BARSIC [14]

The line x = 0 is perpendicular to the line y = -3:

Correct. Any horizontal line (y = a) and any vertical line (x = b) intersect at some point and are perpendicular.

All lines that are parallel to the y-axis are vertical lines:

Correct. The y-axis is a vertical line, so any lines that are parallel to it must also be vertical.

All lines that are perpendicular to the x-axis have a slope of 0.

Incorrect. Lines that have a slope of 0 are horizontal, and the x-axis is horizontal as well. Any lines with a slope of 0 are <em>parallel </em>to the x-axis, not perpendicular to it.

The equation of the line parallel to the x-axis that passes through the point (2, 6) is x = 2.

Incorrect. x = 2 is a vertical line, and vertical lines cannot be parallel to the horizontal x-axis. x = 2 is perpendicular to the x-axis, however.

The equation of the line perpendicular to the y-axis that passes through the point (-5, 1) is y = 1.

Correct. The line y = 1 is horizontal, and the y-axis is a vertical line. Because the line y = 1 crosses the y-axis, the lines are perpendicular.

4 0

2 years ago