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Drupady [299]
3 years ago
6

Please I don’t undersatnd what I have to do for the second question. This is a GCF (greatest common factor) problem.

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0

Answer: You need to find the multiples of each of the numbers and choose the largest one that each number has


Step-by-step explanation:

42 write what can be multiplied to get 42

1 and 42 , 2 and 21, 3 and 14, 6 and 7

70 write what can be multiplied to get 70

1 and 70, 2 and 35, 5 and 14, 7 and 10

56- write what can be multiplied to get 56

1 and 56, 2 and 28, 4 and 14, 7 and 8

Now look back and see what numbers they all have in common, which is 2 and 14 in this case

You pick the bigger number because it is a GCF problem, which is 14, and that is the number of rows


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vladimir1956 [14]
Answer is a, 57.49.

17.42-12.60-9.62= $-4.80+62.29=57.49
4 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 - <u>A </u><u>trapezium</u><u> </u><u>ABCD </u><u>with </u><u>non </u><u>parallel </u><u>sides </u><u>of </u><u>measure </u><u>1</u><u>5</u><u> </u><u>cm </u><u>each </u><u>!</u><u> </u><u>along </u><u>,</u><u> </u><u>the </u><u>parallel </u><u>sides </u><u>are </u><u>of </u><u>measure </u><u>1</u><u>3</u><u> </u><u>cm </u><u>and </u><u>2</u><u>5</u><u> </u><u>cm</u>

  • To find - <u>Area </u><u>of </u><u>trapezium</u>

Refer the figure attached ~

In the given figure ,

AB = 25 cm

BC = AD = 15 cm

CD = 13 cm

<u>Construction</u><u> </u><u>-</u>

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}

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

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
What the rate of change for f(t)=70(5/2)^t<br> help
denis23 [38]
5/2
70 is the constant number that doesn’t change, but anytime you increase t you are raising it above 5/2. So every time you grow 5/2.
3 0
2 years ago
Select the best equation needed to solve for x; then solve for x:
Natali [406]

Step-by-step explanation:

A. 5x=12x-14

you will  simplify the equation to the form, which is simple to understand  

5x=12x-14

We move all terms containing x to the left and all other terms to the right.  

+5x-12x=-14

We simplify left and right side of the equation.  

-7x=-14

We divide both sides of the equation by -7 to get x.  

x=2

B.   5B+12=BB=28

you will  move all terms to the left:

.5B+12-(BB)=0

you will  move all terms containing B to the left, all other terms to the right

.5B-BB=-12

7 0
3 years ago
Read 2 more answers
Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete wh
frozen [14]

Answer:

y = 2x + 20

y\geq 20

x\geq 0

Step-by-step explanation:

Vlad spent 20 minutes on history. Then Vlad spent 2 minutes on each math problem for homework, this is 2x. So in total, he spent 20+2x on homework. Depending on how many problems he did, the total time y can be found. This is the equation 20+2x=y.

If Vlad did 0 math problems then he spent at least 20 minutes on homework from history. This is the constraint y\geq 20.

We also know Vlad can do many math problems but the least amount he did was 0, so the second constraint is x\geq 0.

5 0
3 years ago
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