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3 years ago

3 x 10^8/3.4 x 10^2 solved

Mathematics

1 answer:

storchak [24]3 years ago

6 0

Answer: See explanation

Step-by-step explanation:

3 × 10⁸ ÷ 3.4 × 10²

(3 × 100000000) ÷ (3.4 × 100)

300000000 ÷ 340

882352.94117

Round to the nearest hundredth

882352.94117 ≈ 882352.94

Round to the nearest tenth

882352.94117 ≈ 882352.9

Round to the nearest whole number

882352.94117 ≈ 882353

Hope I helped!

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An amount was shared in the ratio 3:4. The largest share was 12. What is the smallest share

boyakko [2]

Answer:

Step-by-step explanation:

3/4 = x/12

Cross-multiply: 36 = 4x

x = 9

6 0

3 years ago

A. Incorrect; the student should add 8 + 2 to calculate the x-coordinate and should add 5 + 9 to calculate the y-coordinate. B.

likoan [24]

Answer:

Step-by-step explanation:

I think it’s a based on what you given

3 0

3 years ago

(10.02)

melisa1 [442]

Answer:

$sin O=\dfrac{3\sqrt{13}}{13}\\cos O=\dfrac{2\sqrt{13}}{13}\\tan O=\dfrac{3}{2}$

Step-by-step explanation:

If the point (2,3) is on the terminal side of an angle in standard position.

Adjacent of O, x=2,

Opposite of O, y=3

Next, we determine the hypotenuse, r using Pythagoras Theorem.

$Hypotenuse =\sqrt{Opposite^2+Adjacent^2} \\r=\sqrt{3^2+2^2} \\r=\sqrt{13}$

Therefore:

$sin O=\dfrac{Opposite}{Hypotenuse} \\sin O=\dfrac{3}{\sqrt{13}} \\$Rationalizing\\sin O=\dfrac{3\sqrt{13}}{13}$

$cos O=\dfrac{Adjacent}{Hypotenuse} \\cos O=\dfrac{2}{\sqrt{13}} \\$Rationalizing\\cos O=\dfrac{2\sqrt{13}}{13}$

$Tan O=\dfrac{Opposite}{Adjacent} \\tan O=\dfrac{3}{2}$

4 0

3 years ago

Can someone help meeeeee

11Alexandr11 [23.1K]

Answer:

Area of shaded rectangle = 42 cm²

55%

Step-by-step explanation:

The length of the shaded area is equal to the length of the white rectangle.

Therefore, length of shaded rectangle = 7 cm

The width of the shaded rectangle is equal to the length of the white rectangle <u>minus</u> two widths of the white rectangle.

Therefore, width = 7 - (2 x 0.5) = 6 cm

Area of shaded rectangle = width x length

= 6 x 7

= 42 cm²

----------------------------------------------------------------------------------------------

Perimeter of a square = 4 × side length

If the perimeter of the square is 40 cm,
then the side length = 40 ÷ 4 = 10 cm

Area of a square = side length x side length

⇒ area of this square = 10 x 10 = 100 cm²

To determine the shaded area, calculate the areas of the 2 white triangles and subtract these from the area of the square.

Area of a triangle = 1/2 x base x height

⇒ area of left triangle = 1/2 x (10 - 7) x 10 = 15 cm²

⇒ area of right triangle = 1/2 x 10 x (10 - 4) = 30 cm²

Therefore, shaded area = 100 - 15 - 30 = 55 cm²

To calculate the percentage, divide the shaded area by the area of the square and multiply by 100:

(55 ÷ 100) × 100% = 55%

7 0

2 years ago

The graph below have the same shape f(x)=x^2 what is the equation of the graph of g(x)

Artist 52 [7]

Answer: OPTION B

Step-by-step explanation:

By definition, the parent function is the simplest form of a function. In this case, you have the quadratic parent function $f(x)=x^{2}$

As you can see in the graph, the function g(x) is the obtained by shifting the parent function f(x) two units to the right, which is represented with:

$f(x-2)=(x-2)^2$

Therefore, the equation of the function g(x) is:

$g(x)=(x-2)^2$

3 0

3 years ago

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