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Vinvika [58]
3 years ago
9

Complete the square.

Mathematics
1 answer:
Charra [1.4K]3 years ago
8 0

Answer:

+ 100

Step-by-step explanation:

Given

m² - 20m

To complete the square

add ( half the coefficient of the m- term )² to m² - 20m

m² + 2(- 10)m + (- 10)²

= m² - 20m + 100 = (m - 10)² ← perfect square

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A big lockers above a smaller locker they both have 0.5 m wide and 0.6 m deep Big lockers 1.2 m tall and small lockers half of t
Tomtit [17]

Answer:

0.54\,\,m^3

Step-by-step explanation:

Given: Dimensions of a big locker are 0.5 m × 0.6 m × 1.2 m

Dimensions of a small locker are 0.5 m × 0.6 m × \frac{1.2}{2}=0.6\,\,m (as height of small locker is half the height of big locker )

To find: total volume of one big locker and one small locker

Solution:

Volume of cuboid = length × breadth × height

Total volume of one big locker and one small locker = Total volume of one big locker + total volume of one small locker

= 0.5\times 0.6\times 1.2+0.5\times 0.6\times 0.6

=0.5\times 0.6\left ( 1.2+0.6 \right )\\=0.3(1.8)\\=0.54\,\,m^3

4 0
3 years ago
Read 2 more answers
Which of the following is true about a parallelogram?
insens350 [35]

Answer:

The diagonals bisect each other.

Step-by-step explanation:

Not all diagonals of a parallelogram are equal.

The only quadrilaterals with all four sides being congruent are rhombus and squares so parallelogram is wrong.

The diagonals of a parallelogram bisect each other.

The diagonals of a parallelogram are only perpendicular when it is a square.

8 0
2 years ago
A new movie opened in a local theater. On opening day, 985 people saw the movie. Each day after opening day, the number of peopl
zysi [14]

Answer:

About 3891 people saw that movie.

Step-by-step explanation:

Day 1: 985 people

Day 2: (985*8)/10 (20% gone) = 788

Day 3: (788*8)/10 (20% gone) = 630.4

Day 4: (630.4*8)/10 (20% gone) = 504.32

Day 5: (504.32*8)/10 (20% gone) = 403.456

Day 6: (403.456*8)/10 (20% gone) = 322.7648

Day 7: (322.7648*8)/10 (20% gone) = 258.21184

Adding this up:

985+788+630.4+504.32+403.456+322.7648+258.21184=

985+788+630+504+403+323+258=3891

4 0
3 years ago
Which of the lines below is parallel to a line with a slope of 3 and a y-intercept at (0, 3)?
Dmitrij [34]

Answer:

\displaystyle line\:HJ

Step-by-step explanation:

\displaystyle y = 3x + 3

The descryption gives you the above <em>Slope-Intercept Equation</em>. Parallel equations have SIMILAR <em>RATE</em><em> </em><em>OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], therefore \displaystyle 3 remains as is, and perfourming \displaystyle \frac{rise}{run}, will give you that answer.

I am joyous to assist you at any time.

6 0
2 years ago
the height of an equivalent triangle is 15cm and it's perimeter is 36cm find the area of the triangle​
OlgaM077 [116]

Answer:

The area is 72 cm².

Step-by-step explanation:

Since it is equivalent triangle

h = b

so,

b + b + b (since all sides are equal)= 36 cm

3b = 36 cm

or, b = 36/3

so, b = 12 cm

so

area of triangle = (1/2)×b×h

= (1/2)×12cm×12cm

= 6cm × 12cm

= 72 cm²

4 0
3 years ago
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