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Sophie [7]
2 years ago
13

Show all your working please​

Mathematics
1 answer:
Basile [38]2 years ago
4 0

Answer:

45 cm²

Step-by-step explanation:

area = ½×11×13×sin 39°

= 71.5 × 0.6294

= 45 cm²

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Natalia solved the problem 74.4/12=6.2. complete the model with partial products check Natalia's work using multiplication
tia_tia [17]

Answer:

Natalia's work is wrong.

Step-by-step explanation:

Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:

1) x = 6.2\times 12 Given.

2) x = \left(6+0.2\right)\times 12 Definition of addition.

3) x = 6\times 12 + 0.2\times 12 Distributive property.

4) x = 72 + \frac{2}{10}\times 12 Definitions of multiplication and decimal number.

5) x = 72 +[2\cdot (10)^{-1}]\cdot 12 Definition of division/Associative property.

6) x = 72 + [2\cdot 12]\cdot (10)^{-1} Associative property.

7) x = 72 + 24\cdot 10^{-1} Definition of multiplication.

8) x = 72 + \frac{24}{10} Definition of divsion.

9) x = 72 + 2.4 Defintion of decimal number.

10) x = 74.4 Definition of addition/Result

Natalia's work is wrong.

5 0
2 years ago
PLEASE HELP ME SOLVE THIS, WHOEVER DOES WILL EARN 100 PTS!!!!!!!!!!!!!
Monica [59]

Step-by-step explanation:

(Assuming that this triangle is isosceles)

If this triangle is isosceles, then x° is going to be equal to its twin angle; 40°.

We can solve for z now.

180 = 40 + 40 + z

180 = 80 + z

Subtract 80 from both sides.

100 = z

z = 100°

Now that we know z = 100 degrees, we can begin to solve the expression (3x -20)

The expression sits on a 180° line and the angle z (100°) shares the line with the expression (3x - 20)°

180 = 100 + (3x - 20)

Subtract 100 from both sides.

80 = 3x - 20

Add 20 to both sides to isolate 3x

100 = 3x

Divide by 3 on both sides.

100/3 = 3x/3

33.33... = x

4 0
3 years ago
Read 2 more answers
Solve the equation for y<br><br> 6y+x=8
Igoryamba

Answer:

y=4/3-1/6x

Step-by-step explanation:

1) subtract "x" from both sides:

6y=8-x

2)divide by 6 on both sides(EVERYTHING WILL BE DIVIDED BY 6)

6y/6=(8-x)/6

y=(8-x)/6

2)simplify:

y=4/3-x/6

3 0
3 years ago
Read 2 more answers
The seventh grade class at a Christian school had 24 students enrolled at the beginning of the school year. At the end of the sc
Darya [45]

Answer:

12.5%

Step-by-step explanation:

27-24=3

3/24=1/8

1/8=0.125

0.125 in percent is 12.5%

7 0
2 years ago
Amultivitamin tablet contains 16.5 mg calcium.How much calcuim does a bottle of 20 tablet contain?
Bingel [31]
16.5 mg of calcium per tablet × 20 tablets=

330 mg of calcium
8 0
3 years ago
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