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3 years ago

15 dance tickets were sold

Mathematics

2 answers:

REY [17]3 years ago

8 0

Answer:

Step-by-step explanation:

just divied 270 by 15 and you get 18

yarga [219]3 years ago

3 0

Answer:

18 hours

Step-by-step explanation:

I Divided 15 to 270 and got 18 :)

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Match each number in scientific notation with the number written in standard form and in a step by step process.

geniusboy [140]

Answer:

1) Option 3

2) Option 1

3) Option 2

Step-by-step explanation:

To find : Match each number in scientific notation with the number written in standard form and in a step by step process.

Solution :

From scientific to standard we expand the power of 10.

1) $6.82\times 10^7$

Remove decimal and open the power,

$6.82\times 10^7=\frac{682}{100}\times 10000000$

$6.82\times 10^7=68200000$

Therefore, $6.82\times 10^7=68,200,000$

Match with Option 3.

2) $6.82\times 10^{-6}$

Remove decimal and open the power,

$6.82\times 10^{-6}=\frac{682}{100}\times \frac{1}{1000000}$

$6.82\times 10^{-6}=\frac{682}{100000000}$

Therefore, $6.82\times 10^{-6}=0.00000682$

Match with Option 1.

3) $6.82\times 10^6$

Remove decimal and open the power,

$6.82\times 10^6=\frac{682}{100}\times 1000000$

$6.82\times 10^6=6820000$

Therefore, $6.82\times 10^6=6,820,000$

Match with Option 2.

7 0

3 years ago

find the area of the trapezium whose parallel sides are 25 cm and 13 cm The Other sides of a Trapezium are 15 cm and 15 CM

Snezhnost [94]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - A trapezium ABCD with non parallel sides of measure 15 cm each ! along , the parallel sides are of measure 13 cm and 25 cm

To find - Area of trapezium

Refer the figure attached ~

In the given figure ,

AB = 25 cm

BC = AD = 15 cm

CD = 13 cm

Construction -

$draw \: CE \: \parallel \: AD \: \\ and \: CD \: \perp \: AE$

Now , we can clearly see that AECD is a parallelogram !

$\therefore$ AE = CD = 13 cm

Now ,

$AB = AE + BE \\\implies \: BE =AB - AE \\ \implies \: BE = 25 - 13 \\ \implies \: BE = 12 \: cm$

Now , In ∆ BCE ,

$semi \: perimeter \: (s) = \frac{15 + 15 + 12}{2} \\ \\ \implies \: s = \frac{42}{2} = 21 \: cm$

Now , by Heron's formula

$area \: of \: \triangle \: BCE = \sqrt{s(s - a)(s - b)(s - c)} \\ \implies \sqrt{21(21 - 15)(21 - 15)(21 - 12)} \\ \implies \: 21 \times 6 \times 6 \times 9 \\ \implies \: 12 \sqrt{21} \: cm {}^{2}$

Also ,

$area \: of \: \triangle \: = \frac{1}{2} \times base \times height \\ \\\implies 18 \sqrt{21} = \: \frac{1}{\cancel2} \times \cancel12 \times height \\ \\ \implies \: 18 \sqrt{21} = 6 \times height \\ \\ \implies \: height = \frac{\cancel{18} \sqrt{21} }{ \cancel 6} \\ \\ \implies \: height = 3 \sqrt{21} \: cm {}^{2}$

Since we've obtained the height now , we can easily find out the area of trapezium !

$Area \: of \: trapezium = \frac{1}{2} \times(sum \: of \:parallel \: sides) \times height \\ \\ \implies \: \frac{1}{2} \times (25 + 13) \times 3 \sqrt{21} \\ \\ \implies \: \frac{1}{\cancel2} \times \cancel{38 }\times 3 \sqrt{21} \\ \\ \implies \: 19 \times 3 \sqrt{21} \: cm {}^{2} \\ \\ \implies \: 57 \sqrt{21} \: cm {}^{2}$

hope helpful :D

6 0

2 years ago

Question 3

Natasha2012 [34]

Answer:

60,000 grams

Step-by-step explanation:

Find how many grams she weighs by finding how many grams are in 60 kilograms.

There are 1000 grams in a kilogram, so to find her weight in grams, multiply 60 by 1000:

60(1000)

= 60,000

So, Julie weighs 60,000 grams

7 0

3 years ago

Read 2 more answers

Hailey is starting a new exercise program. The first day she will spend 30 minutes on a treadmill. She will increase her time on

Alexxx [7]

Answer:

A) T(d) = 5d + 30

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Thank you very much anh you

Neko [114]

Hello from MrBillDoesMath!

Answer:

See discussion below

Discussion:

The sum of the interior angles of a polygon of n sides is (n-2)* 180. As the polygon in #4 has 7 sides , the sum of the interior angles is (7-2)*180 = 5 * 180 = 900.

We can also compute the sum of the interior angles by adding up each of the angles (expressed in terms of x) shown in #4. Starting at the top of the polygon and proceeding counterclockwise gives:

900 = (8x +34) + (10x+21)+(9x+30)+(7x+45)+(5x+44)+(12x+13)+(6x+29) =>

(8x + 10x+9x+7x+5x+12x+6x) + (34+21+30+45+44+13+29) =

57x + 216

This simplifies to

900 = 57x + 216 => subtract 216 from both sides

900-216 = 57x => 900-216= 684

684= 57x => divide both sides by 57

684/57 = x => as 684/57 = 12

x = 12

The diagram has makes repeated use of the same variable for vertices. That is, the diagram shows 4 P's, 1 Q, 2 R's, 0 S's, and 1 T making it impossible to determine the values of some angles. For example, consider m RST -- whatever that means.

#5 uses the same ideas but the vertices are properly labeled (I'll leave the grunt of determining the individual angles to you but here are the main points).

Sum of interior angles = (7 -2) * 180 = 5 * 180 = 900.

900 = (8x+62) + (7x+66)+(5x+83)+(6x+55)+(10x+42)+(8x+45)+(4x+67) =>

900 = (8x + 7x +5x+6x+10x+8x+4x) + (62+66+83+55+42+45+67)

900= 48x + 420 =>

900 -420 = 48x => subtract 420

480 = 48x => divide by 48

x = 480/48 = 10

Thank you,

MrB

6 0

3 years ago