Ask question

Ask question

All categories

3 years ago

8

Suppose you are asked to find the area of a rectangle that is 2.1-cm wide by 5.6-cm long. Your calculator answer would be 11.76

cm2. Now suppose you are asked to enter the answer to two significant figures. (Note that if you do not round your answer to two significant figures, your answer will fall outside of the grading tolerance and be graded as incorrect.)

1 answer:

Vladimir79 [104]3 years ago

3 0

Answer:

The area of the rectangle is 12 cm² ⇒ in 2 significant figures

Step-by-step explanation:

* Lets talk about the significant figures

- All non-zero digits are significant

# 73 has two significant figures

- Zeroes between non-zeros digits are significant

# 105.203 has six significant figures

- Leading zeros are never significant

# 0.00234 has three significant figures

- In a number with a decimal point, zeros to the right of the last

non-zero digit are significant

# 19.00 has four significant figures

- Lets make a number and then approximate it to different significant

∵ 12.7360 has 6 significant figures

∴ 12.736 ⇒ approximated to 5 significant figures

∴ 12.74 ⇒ approximated to 4 significant figures

∴ 12.7 ⇒ approximated to 3 significant figures

∴ 13 ⇒ approximated to 2 significant figures

∴ 10 ⇒ approximated to 1 significant figure

- Another number with decimal point

∵ 0.0546700 has 6 significant figures

∴ 0.054670 ⇒ approximated to 5 significant figures

∴ 0.05467 ⇒ approximated to 4 significant figures

∴ 0.0547 ⇒ approximated to 3 significant figures

∴ 0.055 ⇒ approximated to 2 significant figures

∴ 0.05 ⇒ approximated to 1 significant figures

* Lets solve the problem

∵ The width of the rectangle is 2.1 cm

∵ The length of the rectangle is 5.6 cm

- Area of the rectangle = length × width

∴ Area of the rectangle = 2.1 × 5.6 = 11.76 cm²

- Approximate it to two significant figures

∴ Area of the rectangle = 12 ⇒ to the nearest 2 significant figures

* The area of the rectangle is 12 cm² ⇒ in 2 significant figures

You might be interested in

PLEASE HELP !!!!!!! Jordan got a new money bank for his birthday with $20 inside. He puts part of his weekly allowance in his ba

kupik [55]

Answer:

Slope of the function is $=3.75$ ,Y-intercept $=20$ .

The function is $y=3.75(x)+20$ with initial value $=20$ ,Jordan puts $\$3.75$ each week andthe amount saved by Jordan after $52$ week $=215\$$ .

Step-by-step explanation:

To understand the slope and y-intercept lets assign $x$ as number of weeks and $y$ as the money saved by Jordan.

Jordan is already having a sum of $\$20$ inside the money bank so in $0$ week the amount is $\$20$ can be written as $(x,y) =(0,20)$ in coordinate form.

SImilarly

We have $(x,y) =(0,20)$ and $(x_1,y_1) =(25,113.75)$

Part A:

The function is $y=m(x)+b$

From point-slope form,we have slope (m)

and $m=\frac{y_1-y}{x_1-x}$ ,plugging the values of the points.

$m=\frac{113.75-20}{25-0}=3.75$

Y-intercept of this function is the constant term or the money of $\$20$ that is already inside the money bank.

We can also calculate y-intercept by arranging the function as $b=y-m(x)$ choosing any $(x_1,y_1) = (25,113.75)$ coordinate and here $b$ is the y-intercept.

The result will be same.

Part B:

The equation <u> $y=3.75(x)$ </u> can represent the function described.

And the initial value is the <u>y-intercept $=\$20$ </u>

Jordan puts<u> $3.75$ </u>in his bank each week.

After $52$ week the amount saved by Jordan ,here $x=52$ ,as the x-variable is the number of weeks.

Plugging the value of $x=52$ in $y=m(x)+b$ where $m=3.75$ so the equation becomes $y=3.75(x)+20$

$y=3.75(x)+20 =3.75(52)+20=\$215$

So basically the function is $y=3.75(x)+20$ and the amount saved by Jordan after $52$ week $=215\$$ .

6 0

3 years ago

A store is having a sale where movies are 15% off their original price a movie is sale for $22.10 what was the original price of

Alexus [3.1K]

The original price of the movie would be $26. Hope this helps!

6 0

3 years ago

Find all zeros of function and write the polynomial as a product of linear factorsX^3-x^2+9x-9

mart [117]

Answer:

$\large\boxed{x=1\ \vee\ x=-3i\ \vee\ x=3i}$

Step-by-step explanation:

$\text{The zeros:}\\\\x^3-x^2+9x-9=0\\\\x^2(x-1)+9(x-1)=0\\\\(x-1)(x^2+9)=0\iff x-1=0\ \vee\ x^2+9=0\\\\x-1=0\qquad\text{add 1 to both sides}\\x-1+1=0+1\\\boxed{x=1}\\\\x^2+9=0\qquad\text{subtract 9 from both sides}\\x^2=-9$

8 0

3 years ago

If a fair coin is tossed, the probability that it will land heads up is ½. Olivia tosses a coin 4 times, and it lands on heads 4

disa [49]

Answer:

C

Step-by-step explanation:

The tosses before that were all by chance, the probability is still the same. Nothing changes.

6 0

3 years ago

3<br> Solve for x. Round answer to the nearest tenth.<br> X<br> 759<br> 17

QveST [7]

Answer:

x ≈ 4.6

Step-by-step explanation:

Reference angle = 75°

Opposite side to reference angle = 17

Adjacent side = x

Applying TOA:

Tan 75 = opp/adj

Tan 75 = 17/x

Multiply both sides by x

x*Tan 75 = 17

Divide both sides by Tan 75

x = 17/Tan 75

x ≈ 4.6

7 0

3 years ago