2. Calculate the area of the three figures. Which figure has the greatest area?

Which shows the expression below simplified? 0.00048 - (3.4 × 10-5) A. 4.46 × 10-4 B. 3.39952 × 10-5 C. 4.46 × 10-5 D. 1.4 × 10-

MakcuM [25]

Option C

The simplified form of given expression is $4.46 \times 10^{-4}$

Solution:

Given that we have to simplify the expression shown below

$0.00048 - (3.4 \times 10^{-5})$

Let us first convert 0.00048 to scientific notation

Steps to follow:

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

$0.00048 = 4.8 \times 10^{-4}$

So the given expression becomes,

$\rightarrow 4.8 \times 10^{-4} - 3.4 \times 10^{-5}$

Let us make the exponent of second term as -4

$\rightarrow 4.8 \times 10^{-4} - 0.34 \times 10^{-4}$

Take $10^{-4}$ as common term,

$\rightarrow 10^{-4} (4.8 - 0.34)$

$\rightarrow 4.46 \times 10^{-4}$

Thus option C is correct

7 0

3 years ago

What is The sum of 50

lara [203]

Calculating the sum of 1 through 50: 50 x 51/2 = 25 x 51 = 1275.

3 0

4 years ago

A = 18, b = 12, A = 27°

Daniel [21]

Answer:

Could you post an image?

I have the variables; I just need the problem.

3 0

3 years ago

Tennis balls are sealed in a pressurized container to maintain the rebound percentage

Darina [25.2K]

Answer:

Rounding the results to the next hundredth, we have:

Bounce 1: 2 * 0.55 = 1.10 meters

Bounce 2: 1.10 * 0.55 = 0.61 meters

Bounce 3: 0.61 * 0.55 = 0.34 meters

Bounce 4: 0.34 * 0.55 = 0.19 meters

Bounce 5: 0.19 * 0.55 = 0.10 meters

Bounce 6: 0.10 * 0.55 = 0.06 meters

Bounce 7: 0.06 * 0.55 = 0.03 meters

Step-by-step explanation:

Rebound percentage = 55% = 0.55

Bounce 1: 2 * 0.55 = 1.10 meters

Bounce 2: 1.10 * 0.55 = 0.605 meters

Bounce 3: 0.605 * 0.55 = 0.33275 meters

Bounce 4: 0.33275 * 0.55 = 0.1830125 meters

Bounce 5: 0.1830125 * 0.55 = 0.10065688 meters

Bounce 6: 0.10065688 * 0.55 = 0.05536128 meters

Bounce 7: 0.05536128 * 0.55 = 0.0304487 meters

Rounding the results to the next hundredth, we have:

Bounce 1: 2 * 0.55 = 1.10 meters

Bounce 2: 1.10 * 0.55 = 0.61 meters

Bounce 3: 0.61 * 0.55 = 0.34 meters

Bounce 4: 0.34 * 0.55 = 0.19 meters

Bounce 5: 0.19 * 0.55 = 0.10 meters

Bounce 6: 0.10 * 0.55 = 0.06 meters

Bounce 7: 0.06 * 0.55 = 0.03 meters

3 0

4 years ago

Which statements are true? select two options. δabc is-congruent-to δbxc δaxc ~ δcxb δbcx is-congruent-to δacx δacb ~ δaxc δcxa

aliina [53]

Based on the properties of similar triangles, the two true statements are:

ΔAXC ≅ ΔCXB.
ΔACB ≅ ΔAXC.

<h3>The properties of similar triangles.</h3>

In Mathematics, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Based on the properties of similar triangles, we have the following points:

∠A in ΔAXC matches ∠A in ΔABC and ∠C in ΔCXB.

∠C in ΔAXC matches ∠B in ΔABC and ∠B in ΔCXB.

∠X in ΔAXC matches ∠C in ΔABC and ∠X in ΔCXB.

In this scenario, we can can logically deduce that the two true statements are:

ΔAXC is congruent to ΔCXB (ΔAXC ≅ ΔCXB).
ΔACB is congruent to ΔAXC (ΔACB ≅ ΔAXC).

Read more on similar triangles here: brainly.com/question/7411945

#SPJ1

4 0

2 years ago