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2 years ago

What is the least common multiple of 10 and 35?

Mathematics

2 answers:

sineoko [7]2 years ago

4 0

Answer:

a multiple of both is 5 ...

lesya [120]2 years ago

4 0

Answer:

Step-by-step explanation:

10 35

20 70

70

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In trapezoid ABCD, points M and N are arbitrary points on bases AB and CD respectively. Find the area of the trapezoid, if area

mel-nik [20]

Remark

This is quite a nice little problem. It takes a minute or three to figure out the answer, and when you do, you will be certain that you have been tricked. It is a little like the egg of Columbus.

Solution

The Base of Triangle ABN is AB

The Base of Triangle CDM is CD

The height of both given triangles is h. That is the distance between the two parallel lines.

Area ABN = 1/2*AB * h = 23 cm^2

Area CDM = 1/2*CD * h = 18 cm^2

Now the Area of the trapezoid is

Area_Trapezoid = 1/2 * h (AB + CD) Using the distributive property Remove the brackets.

Area_Trapezoid = 1/2*AB*h + 1/2*CD*h Did you notice something? Those terms are just the area of the triangles (written above.)

Area Trapezoid = 23 + 18 = 41 cm^2 <<<< Answer

6 0

2 years ago

HELP NOW PLEASE !!!Mrs. Havarti's art class made five identical conical sculptures. Each sculpture has a diameter of 9 cm and a

Zina [86]

Answer:

1165.73 sq.cm. of newspaper are needed to cover the lateral areas of all five sculptures

Step-by-step explanation:

Diameter of 1 sculpture = 9 cm

Radius of 1 sculpture = $\frac{9}{2}=4.5 cm$

Slant height of sculpture = l = 16.5 cm

Lateral surface area of each sculpture = $\pi r l = \frac{22}{7} \times 4.5 \times 16.5 =233.3571 cm^2$

Lateral surface area of 5 sculptures = $233.3571 \times 5 =1165.73 cm^2$

Hence 1165.73 sq.cm. of newspaper are needed to cover the lateral areas of all five sculptures

6 0

3 years ago

NEED HELP ASAP. The pictures goes with the problems.

Studentka2010 [4]

Answer: m∠ $E=74\°$

Step-by-step explanation:

1. By definition, the adjacent angles of a parallelogram are supplementary, they add up 180 degrees. Therefore, in the given parallelogram:

$O+M=180$

$3x+1+2x+4=180$

2. Then, you must solve for x, as following:

$5x+5=180$

$5x=175\\x=35$

3. Substitute the value of x obtained into $2x+4$ to calculate the angle M:

$2x+4=2(35)+4=74$

Then:

m∠ $M=74\°$

4. By definition the opposite angles of a parallelogram are equal, therefore:

$E=M\\E=74\°$

5 0

2 years ago

5/6 of 15 i need help????????????

emmainna [20.7K]

Answer: 12.5 or 12 1/2

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Which two values of x are roots of the polynomial below? x2 + 3x + 5

Korolek [52]

Answer:

its -1 for sure

i dont kbow the other one

3 0

2 years ago