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3 years ago

Could 10.6 cm and 5.6 and 4.0 cm be the side length of a triangle

1 answer:

8 0

No, because the sum of any of the sides must be greater than all sides. 5.6 +4.0=9.6 which is less than 10.6, meaning that it is impossible to create a triangle with those lengths.

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The mayor gets elected every four years. Treasurer gets elected every six years. Both were elected this year. How many years bef

aleksandrvk [35]

<h3>There are 11 years before both the elections happen in the same year.</h3>

Step-by-step explanation:

The mayor gets selected once in every 4 years.

So, the number of years the mayor elections takes place

= 1, 4 ,8, 12, 16, 20, 24, 28,....

Now, the Treasurer gets selected once in every 6 years.

So, the number of years the Treasurer elections takes place

= 1, 6, 12, 18, 24, 30

Now,as we can see from both statements, the year in which both elections happen are the <u>common factors of 4 and 6.</u>

<u>The first common factor of 4 and 6 is 12. </u>

<u></u>

So,in twelfth year both elections happen in the same year again.

Hence, there are 11 years before the elections happen in the same year.

4 0

3 years ago

Examine whether x-1 is a factor of the polynomial 4x³+3x²-4x+3

Yuki888 [10]

Answer:

x - 1 is not a factor.

Step-by-step explanation:

By the Factor theorem if x - 1 is a factor then f1) = 0:

f(1) = 4*1^3 + 3*1^2 - 4*1 + 3

= 4 + 3 - 4 + 3

= 6 so it is not a factor.

4 0

4 years ago

HELP ASAP!!!!!!!!!!!!!

OLEGan [10]

Answer:

∠ABC=90°

Step-by-step explanation:

if ∠DAB =110 then ∠BAC =180-110 =70° because straighht lines make 180°∠s

use the fact that the sum of angles in a Δ is 180°

∠ABC= 180-20-70= 90

7 0

3 years ago

A $16,000 robot depreciates linearly to zero in 10 years. (a) find a formula for its value as a function of time, t, in years.

SVETLANKA909090 [29]

We are given, cost of the robot for 0 number of year = $16,000.

0 represents initial time of the robot.

After 10 year cost of the robot is = $0

The problem is about the number of the years and cost of the robot over different number of years.

So, we could take x coordinate by number of hours and y coordinate for y number of hours.

So, from the problem, we could make two coordinates for the given situation.

(x1,y1) = (0, 16000) and (x2,y2) = (10, 0).

In order to find the function of time, we need to find the rate at which robot rate depreciates each year.

Slope is the rate of change.

So, we need to find the slope of the two coordinates we wrote above.

We know, slope formula

$Slope (m) = \frac{y2-y1}{x2-x1}$

Plugging values in formula, we get

$m=\frac{0-16000}{10-0} = \frac{-16000}{-10} = -1600.$

Brecasue of depreciation we got a negative number for slope or rate of change.

Therefore, rate of depreciation is $1600 per year.

We already given inital cost, that is $16,000.

So, we can setup an a function

f(x) = -1600x + 16000.

But the problem is asked to take the variable t for time.

Replacing x by t, we get

f(t) = -1600t + 16000.

8 0

3 years ago

What is the reflection in the x-axis & what’s the reflection in line y=x?

marishachu [46]

Answer:

a) (3, -4), (2, 4), (-5, -6)

b) (4, 3), (-4, 2), (6, -5)

Step-by-step explanation:

a) Reflection in the x-axis negates the y-coordinate:

(x, y) ⇒ (x, -y)

(3, 4) ⇒ (3, -4)

(2, -4) ⇒ (2, 4)

(-5, 6) ⇒ (-5, -6)

b) Reflection in the line y=x swaps the x- and y-coordinates:

(x, y) ⇒ (y, x)

(3, 4) ⇒ (4, 3)

(2, -4) ⇒ (-4, 2)

(-5, 6) ⇒ (6, -5)

8 0

4 years ago