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Ivan
3 years ago
15

Side of square is 5.3cm long, whats the area :D

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0
5.3 times 5.3= 28.09 or rounded to 28.1
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Which of the following inequalities is correct?
Mariana [72]

Is the answer -5 > 0?

7 0
3 years ago
In the figure, and bisect each other. Complete the statements to prove that quadrilateral ABCD is a parallelogram.
Alisiya [41]

Observe the figure below.

    Statement                                                                          Reason

1. AC and BD bisect each other                                             Given

2. AE = EC and BE = ED                                                         Definition of bisection

3. m \angle AEB = m \angle CED                       Vertical angle theorem

Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".

4. \Delta ABE \cong \Delta CDE                         SAS criterion for congruence

5. m \angle ACD = m \angle CAB           Corresponding angles of congruent triangles are congruent

6. AB \parallel CD                                 Converse of alternate interior angle theorem

7.  m \angle BEC = m \angle AED                   Vertical angle theorem

8.  \Delta BEC \cong \Delta DEA            SAS criterion for congruence

9.  BC \parallel AD                                 Converse of alternate interior angle theorem

As, \Delta BEC \cong \Delta DEA, so m \angle CBD = m \angle BDA as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by  "Converse of alternate interior angle theorem".

5 0
3 years ago
The cross section of a water bin is shaped like a trapezoid. The bases a a trapezoid are 20 feet and 6 feet long. It has a area
nekit [7.7K]

Answer:

the height of the cross section is 3 feet

Step-by-step explanation:

The computation of the height of the cross section is shown below:

Area = 1 ÷ 2 × (a + b) × h

39 = 1 ÷ 2 × (20 + 6) × h

39 =  1 ÷2 × 26 × h

39  = 26 ÷ 2 × h

39 = 13 × h

h = 39 ÷ 13

= 3 feet

hence, the height of the cross section is 3 feet

3 0
3 years ago
Find an equation of the parabola with focus (2, −3) and directrix y = 1.
Likurg_2 [28]

Answer:

Step-by-step explanation:

The correct option is option (C).

The required equation of the parabola is

Step-by-step explanation:

Formula:

The distance of a point (x₁,y₁) from a line ax+by+c=0 is

.

The distance between two points (x₁,y₁) and (x₂,y₂) is

Given that, the focus of the parabola is (2,3) and directrix y= - 1.

We know that, a parabola is the locus of points that equidistant from the directrix and the focus.

Let any point on the parabola be  P(x,y)  .

The distance of P from the directrix is

           

=y+1

The distance of the point P from the focus (2,3) is

According to the problem,

 

The required equation of the parabola is

5 0
2 years ago
Anthony is laying concrete for a driveway. The driveway is to be 24 feet long by 11 feet wide by 8 inches deep. Answer parts (a)
Sergeu [11.5K]

Answer:

a) The volume of concrete needed in cubic feet is 2,112. b) The number of cubic yards of concrete needed in cubic yards is about 79. c) The cost of the concrete using cubic yards is $2,844.

Step-by-step explanation:

a) The formula of the volume is l*w*d. 24 * 11 * 8 = 264 * 8 = 2,112.

b) The way to find this is that you take 2,112 and divide it by 27. Since the answer is 78.2 repeating, you round it up to 79 so it will fill up all of the concrete.

c) Since you need 79 cubic yards of concrete, you do 79 multiplied by $36 to get the total cost of $2,844.

3 0
3 years ago
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