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3 years ago

5

Fill in the boxes to complete the addition. 3/5+1/4

1 answer:

Fynjy0 [20]3 years ago

7 0

Answer:

3/5 + 1/4 = 17/20

Step-by-step explanation:

$\frac{3}{5} + \frac{1}{4}$
LCM is 20
$\frac{12}{20} + \frac{5}{20}$
$\frac{17}{20}$

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Generate the nest three terms of each arithmetic sequence shown below.

o-na [289]

Answer:

A)2,6,10

B)2,-6,-18

C)-1,-3,-5

Step-by-step explanation:

<u>A)a1=-2 and d=4</u>

We know that the arithmetic sequence formula is

$a_{n}=a_{1}+(n-1)d$

Now

$a_{2}=a_{1}+(2-1)d$

$a_{2}=a_{1}+(1)d$

Substituting the given value we get

$a_{2}= -2+(1)4$

$a_{2}= -2+4$

$a_{2}= 2$

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

Similarly

$a_{3}=a_{1}+(3-1)d$

$a_{3}=a_{1}+(2)d$

Substituting the given value we get

$a_{3}= -2+(2)4$

$a_{3}= -2+8$

$a_{3}= 6$

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

$a_{4}=a_{1}+(4-1)d$

$a_{4}=a_{1}+(3)d$

Substituting the given value we get

$a_{4}= -2+(3)4$

$a_{4}= -2+16$

$a_{4}= 10$

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

<u>B</u><u> $a_n=a_{(n-1)}-8$ with $a_1=10$ </u>

$a_2=a_{(2-1)}-8$

$a_2=a_{1}-8$

Substituting the given value

$a_2= 10-8$

$a_2=2$

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

$a_3=a_{(3-1)}-8$

$a_3=a_{2}-8$

Substituting the value

$a_3=2-8$

$a_3= -6$

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

$a_4=a_{(4-1)}-8$

$a_4=a_{3}-8$

Substituting the value

$a_4= -6-8$

$a_4= -14$

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

<u>C) $a_1=3, a_2=1$ </u>

Here the difference is -2

the arithmetic sequence formula is

$a_{n}=a_{1}+(n-1)d$

Now

$a_{3}=a_{1}+(3-1)d$

$a_{3}=a_{1}+(2)d$

Substituting the value we get

$a_{3}= 3+(2)-2$

$a_{3}= 3-4$

$a_{3}= -1$

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

$a_{4}=a_{1}+(4-1)d$

$a_{4}=a_{1}+(3)d$

Substituting the value we get

$a_{4}= 3+(3)-2$

$a_{4}= 3-6$

$a_{4}= -3$

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

$a_{5}=a_{1}+(5-1)d$

$a_{5}=a_{1}+(4)d$

Substituting the value we get

$a_{5}= 3+(4)-2$

$a_{5}= 3-8$

$a_{5}= -5$

4 0

3 years ago

Question in picture<br> correct answer marked brainliest

sergejj [24]

C because you need to use the formula and then calculate

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A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during

Anuta_ua [19.1K]

This regular polygon, having eight sides and 45º angle in similar parts, when rotating 360º, will find a similar image and a similar angle of 45º, therefore dividing the angle of 360º by 45º will be the Number of coincidences<span> in image.

</span><span>Solving, thus, we have:
</span> $\frac{360}{45} = \boxed{\boxed{8\:coincidences\:in\:image}}\end{array}}\qquad\quad\checkmark$ <span>

</span>

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In the diagram of RST, what are the two smaller angles?

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Answer:

34

Step-by-step explanation:

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A truck weighs 3,900,000 grams. Convert the truck’s weight to kilograms.

OLga [1]

Answer: The truck weighs 3,900 kilograms.

Step-by-step explanation:

3,900,000÷1000=3,900

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4 years ago

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