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lawyer [7]
3 years ago
15

Which expression is equivalent to (5.4x10^10) (3.3x10^21)?

Mathematics
1 answer:
natta225 [31]3 years ago
4 0

Although, here are no expressions ! it's an incomplete question. So, showing the answer with general simplification 17.82(10^{31}).

<u>Step-by-step explanation:</u>

We have the expression as (5.4x10^10) (3.3x10^21) which can be further simplified as :

⇒(5.4x10^10) (3.3x10^21)

⇒(5.4(10^{10})(3.3(10^{21})

keep the power terms together and numbers to simply. Hence, we get as below

⇒ (5.4(3.3))(10^{21}.10^{10})

⇒(17.82)(10^{21+10)})

By solving the above, we get final simplified answer as

⇒17.82(10^{31})

Although, here are no expressions ! it's an incomplete question . You may match  17.82(10^{31}) to the listed options wherever!

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The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f
WITCHER [35]

Answer:

Part 1) A=36(\pi-2)\ cm^2

Part 2) P=6(\pi+2\sqrt{2})\ cm

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

so

A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)

we have that the base and the height of triangle is equal to the radius of the circle

r=12\ cm\\b=12\ cm\\h=12\ cm

substitute

A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2

simplify

Factor 36

A=36(\pi-2)\ cm^2

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r

substitute the given values

C=\frac{1}{2}\pi (12)\\C=6\pi\ cm

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm

simplify

AC=12\sqrt{2}\ cm

Find the perimeter

P=(6\pi+12\sqrt{2})\ cm

simplify

Factor 6

P=6(\pi+2\sqrt{2})\ cm

4 0
4 years ago
PLEASE HELP?! Explain how to do these types of problems fast!!
uranmaximum [27]

Answer:

m∠J = m∠Z = 46°

Step-by-step explanation:

m∠J = m∠Z = 46°

6 0
3 years ago
Please help wehn we are done we get jeporady and its graded too i cave an F pls help
fgiga [73]

Answer:

look it up

Step-by-step explanation:

go on your phone

click google

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7 0
3 years ago
PLEASE SHOW YOUR WORK.
schepotkina [342]

Answer:

a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

98 square feet

Step-by-step explanation:

The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.

The correct area =

15(2x + 7).

= 30x + 105 square feet

The error in Shawn’s expression is

= 15(2x + 7)

= 30x + 7 square feet

Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

30x + 105 square feet - 30x + 7 square feet

= 30x + 105 - (30x + 7)

= 30x - 30x + 105 - 7

= 98 square feet

7 0
3 years ago
Dominic is 72 inches tall and casts a 6o inch shadow his son who is standing next to him cast a 50 inch shadow how tall is his s
Lostsunrise [7]

Dominics son is 45inches tall

<u>Step-by-step explanation:</u>

Let his sons height be 'h'

If Dominic is 72 inches and casts a shadow of 60 inches. His son casts a shadow of 50 inches.

Then We can say that,

h = 50 x (72/60)

h = 45 inches

Dominics son is 45inches tall

3 0
3 years ago
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