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3 years ago

What partial products are shown by the model below

Mathematics

2 answers:

alina1380 [7]3 years ago

6 0

16x34=544 rats the answer hope this would help

Lina20 [59]3 years ago

6 0

Answer:

300, 40, 180, 24

Step-by-step explanation:

This method of multiplication is called the Grid method multiplication where the larger numbers of a multiplication operation are split into a form which is easier to multiply. The split numbers are arranged in a grid and multiplied as shown below:

Here the two numbers are 16 and 34 which are split by (10+6) and (30+4)

We multiply them

(10+6)×(30+4)

=10×30+10×4+6×30+6×4

=300+40+180+24

=544

The partial products are 300, 40, 180, 24

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Arrange the steps in the correct order to solve: <br> sin 3pi/4 cos pi/12

Dmitry [639]

$\bf \textit{Product to Sum Identities}
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sin(\alpha)cos(\beta)=\cfrac{1}{2}[sin(\alpha+\beta)\quad +\quad sin(\alpha-\beta)]\\\\
-------------------------------\\\\
sin\left( \frac{3\pi }{4} \right)cos\left( \frac{\pi }{12} \right)\implies \cfrac{1}{2}\left[ sin\left( \frac{3\pi }{4}+\frac{\pi }{12} \right) ~~+~~sin\left( \frac{3\pi }{4}-\frac{\pi }{12} \right)\right]$

$\bf \cfrac{1}{2}\left[ sin\left( \frac{9\pi+\pi }{12} \right) ~~+~~sin\left( \frac{9\pi-\pi }{12} \right)\right]
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\cfrac{1}{2}\left[ sin\left( \frac{10\pi }{12} \right) ~~+~~sin\left( \frac{8\pi }{12} \right)\right]\implies 
\cfrac{1}{2}\left[ sin\left( \frac{5\pi }{6} \right) ~~+~~sin\left( \frac{2\pi }{3} \right)\right]
\\\\\\
\cfrac{1}{2}\left[\cfrac{1}{2}~~+~~\cfrac{\sqrt{3}}{2} \right]\implies \cfrac{1}{2}\left[ \cfrac{1+\sqrt{3}}{2} \right]\implies \cfrac{1+\sqrt{3}}{4}$

5 0

4 years ago

Does anyone know this please help

d1i1m1o1n [39]

Answer:

b.12/25

c.4/15

d.8/15

e.6/12

2a.15/24=5/8

b.20/40=1/2

7 0

3 years ago

Evaluate the expression - 8x + 2, where x = 10 *<br> *

Lilit [14]

Answer:

-78

Step-by-step explanation:

substitute x as 10

so then you get

(-8) (10) + 2

then simplify

-80+2 = -78

4 0

3 years ago

Math again :( can you help me please?

WINSTONCH [101]

Answer:

7. 8200 miles

8. $350

Step-by-step explanation:

7. The first trip nets 3400 miles; the next four trips (for a total of five) net 1200 miles each, so the total for 5 round trips is ...

... 3400 + 4×1200 = 8200 . . . miles

8. The first month costs $100; the next 5 months (for a total of 6) cost $50 each, so the total for 6 months is ...

... $100 + 5×$50 = $350

5 0

4 years ago

The high school soccer team can have no more than 27 players. Solve an inequality to determine how many players can make the tea

Dvinal [7]

Answer:

The answer is $x\leq 9.$

Step-by-step explanation:

Now, to find the number of players to make the team by solving an inequality.

Let the number of players that can make team be $x.$

Total number of players high school soccer team can have = 27.

Already players chosen by coach = $18$ .

According to question:

$x+18\leq 27$

<em>Subtracting both sides by 18 we get:</em>

$x\leq 9.$

Therefore, the answer is $x\leq 9.$

6 0

3 years ago