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Viefleur [7K]
3 years ago
14

Help please!!! Anything would be appreciated :3

Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0
Assuming it’s a regular polygon :225
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Find the area of the regular trapezoid. The figure is not drawn to scale. The top side is 4, the bottom side is 7, and both side
svp [43]
A regular trapezoid is shown in the picture attached.

We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5

Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:

AH = (AB - DC) ÷ 2
      = (7 - 5) ÷ 2
      = 2 ÷ 2
      = 1

Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²) 
      = √(5² - 1²)
      = √(25 - 1)
      = √24
      = 2√6

Last, we have all the information needed in order to calculate the area by the formula:

A =  \frac{(AB + CD)DH}{2}

A = (7 + 5) × 2√6 ÷ 2
   = 12√6

The area of the regular trapezoid is 12√6 square units.

7 0
3 years ago
Erin is pouring cake batter into a pan. The pan she is using is 8 inches wide,
sergey [27]

Answer:

242.52 cubic inches

Step-by-step explanation:

Volume of the cake pan = Length × Width × Height

From the about question, we have the following dimensions for the cake pan

8 inches wide = Width

11 inches long = Length

7 cm deep = Height

We are asked to find the maximum volume in inches. Hence all the dimensions have to be in inches.

Converting Height in cm to inches

From the question,

2.54 cm = 1 inch

7cm = x inch

Cross Multiply

2.54 × x = 7 × 1

x = 7/2.54

x = 2.7559055118 inches

Volume of the cake pan =

8 × 11 × 2.7559055118

= 242.51968504 cubic inches

Approximately, the volume of the cake pan = 242.52 cubic inches

What is the maximum volume, in cubic

inches, the cake pan can hold is 242.52 cubic inches

3 0
3 years ago
After simplifying, which expressions are equivalent? Select three options. (3.42 – 1.75) + (235a – 3.95) (2.5a + 1.65) + (3.4a +
poizon [28]

9514 1404 393

Answer:

  C, D, E

Step-by-step explanation:

Collect terms. The last three options are all equivalent to ...

  5.9a - 5.6b​

3 0
3 years ago
Find the square root of 256 an cube root of 729​
bekas [8.4K]

Answer:

i)16

ii)9

Step-by-step explanation:

\sqrt{256} \\=\sqrt{16*16} \\=16\\\\ii)\ \sqrt[3]{729}\\ =\sqrt[3]{9*9*9} \\=9

6 0
3 years ago
Graph the function f(x)=3/2x−4.<br><br> Use the line tool and select two points to graph.
luda_lava [24]
The answer will be 0-4
7 0
3 years ago
Read 2 more answers
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