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timama [110]
2 years ago
11

3x-8<23 and -4x+26>6

Mathematics
1 answer:
Papessa [141]2 years ago
3 0

Answer:

3x-8<23 and -4x+26>6

x<31/3            x<5

Step-by-step explanation:

3x-8<23

Add 8 to both sides

3x<31

Then divide 3 to both sides

x<31/3


and -4x+26>6

Minus 26 to both sides

-4x>-20

You divide -4 to both sides

Keep in mind that everytime you divide a negative the inequality will change so > will be <

x<5

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Find all the missing sides and angles of this triangle.
3241004551 [841]

Answer:

A = 20°

AC = 6.6

BC = 2.4

Step-by-step explanation:

Given:

B = 70°

C = right angle = 90°

AB = 7

Required:

A, AC, and BC

Solution:

✔️A = 180 - (90 + 70) (sum of triangle)

A = 20°

✔️Use trigonometric function to find AC:

Refernce angle = 70°

Opp = AC

Hypotenuse = 7

Apply SOH,

sin 70 = Opp/Hyp

sin 70 = AC/7

7 * sin 70 = AC

6.57784835 = AC

AC = 6.6 (nearest tenth)

✔️Use trigonometric function to find Bc:

Refernce angle = 70°

Adj = BC

Hypotenuse = 7

Apply CAH,

cos 70 = Adj/Hyp

cos 70 = BC/7

7 * cos 70 = BC

2.394141 = BC

BC = 2.4 (nearest tenth)

3 0
3 years ago
Can i get some help? <br><br> SHOW WORK!!!!
yaroslaw [1]
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3 0
3 years ago
Susan purchased a prepaid phone card for $15. Long distance calls cost 9 cents a minute using this card. Susan used her card onl
likoan [24]

Answer:

33 minutes

Step-by-step explanation:

We know that the initial amount of money on the card is $15 and that she had $12.03 after the call. We can subtract 12.03 from 15 to find out how much the call cost.

15 - 12.03 = 2.97

Now that we know the cost of the call is $2.97, we can divide it by the amount it cost per minute (9 cents) for Susan to make an international call:

First, convert $2.97 to cents:

$2 is the same as 200 cents.

200 + 97 = 297

Now, take 297 and divide it by 9:

297/9 = 33

The call lasted 33 minutes.

7 0
3 years ago
19. Write the perimeter of the rectangle as a<br> simplified expression.<br> x - 3<br> 7x + 1
alexandr402 [8]

Answer:

16x - 5

Step-by-step explanation:

2(x-3) + 2(7x+1) since there are 4 sides, 2 which have the same dimensions

2x - 6 + 14x + 1 = 16x - 5

6 0
3 years ago
2. The perimeter of rectangle is 48cm. If the
natita [175]

lets the length be 3x

width be 5x

perimeter = 48

so

3x +5x=48

8x = 48

x =48/8

x= 6

so.

3x = 3×6 = 18

5x = 5×6= 30

hope it will be helpful

7 0
2 years ago
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