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antiseptic1488 [7]
2 years ago
6

How to find missing number in equivalent ratio

Mathematics
1 answer:
Rashid [163]2 years ago
5 0

Explanation:

Consider ...

  x/a = b/c . . . . . find x

Multiplying by the denominator under x gives ...

  x = ab/c . . . . the value of the unknown.

____

In the case where the unknown is in the denominator, you can invert the ratios and solve as above:

  a/x = c/b . . . . . note that x is in the denominator

  x/a = b/c . . . . . equivalent equation, solve as above

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It is -9° now. The temperature will drop 5° in two hours. What will the
liberstina [14]

Answer:

-14°

Step-by-step explanation:

-9 - 5

-9 + (-5)

-14

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3 years ago
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The diagram below shows a square inside a regular octagon. The apothem of the octagon is 15.69 units. To the nearest square unit
Musya8 [376]

Answer:

C.  647 square units

Step-by-step explanation:

To find the shaded area, subtract the area of the unshaded square from the area of the octagon.

<u>Area of the octagon</u>

\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}

where:

  • n = number of sides
  • l = length of one side
  • a = apothem

Given:

  • n = 8
  • l = 13
  • a = 15.69

Substitute the given values into the formula and solve for A:

\implies \textsf{Area}=\sf \dfrac{8 \cdot 13 \cdot 15.69}{2}

\implies \textsf{Area}=\sf \dfrac{1631.76}{2}

\implies \textsf{Area}=\sf 815.88\:\:square \:units

<u>Area of the square</u>

\implies \textsf{Area}=\sf 13^2=169 \:\:square \:units

<u>Area of the shaded region</u>

= area of the octagon - area of the square

= 815.88 - 169

= 646.88

= 647 square units (nearest square unit)

3 0
2 years ago
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Glorias teacher asks her to draw a triangle with 90 degree angle and a 42 degree angle. How many unique triangles can Gloria dra
butalik [34]

Answer:

Just two

Step-by-step explanation:

Glorias teacher asks her to draw a triangle with 90 degree angle and a 42 degree angle.

The presence of 90 degrees indicates that it's a right angle triangle.

The remaining angle= 180-90-42

The remaining angle= 48 degrees

Due to the presence of 90 degrees, the angle 42 and 48 degrees will interchange two times only to form only two unique triangles.

4 0
3 years ago
40-10 written as an algebraic Expression
sukhopar [10]
40 - 10 = x

This is because

Numeric expressions apply operations to numbers. For example, 2(3 + 8) is a numeric expression. Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, division). For example, 2(x + 8y) is an algebraic expression.


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7 0
3 years ago
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Find the value of x and the measure of the exterior angle. (9x+16) (5x-14)
olasank [31]

Answer:

x = 15 \:  \:  .....(5(15)- 14) = 61

(9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x =  \frac{60}{4}  \\ x = 15

6 0
3 years ago
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