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2 years ago

Are these ratios equivalent?

Mathematics

1 answer:

suter [353]2 years ago

7 0

6 : 2 = 48 : 16

they are equivalent

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The area of a triangle is 36 4/5 units squared and the height of the triangle 9 1/5 what is the length of the triangles base

den301095 [7]

Answer:

Height = 8 units

Step-by-step explanation:

Area of a triangle = $36\frac{4}{5}$ square units

= $\frac{184}{5}$ square units

Height of the triangle = $9\frac{1}{5}$ units

= $\frac{46}{5}$ units

Formula to calculate the area of a triangle is,

Area = $\frac{1}{2}(\text{Base})(\text{Height})$

$\frac{184}{5}= \frac{1}{2}\times (\frac{46}{5})\times (\text{Height})$

$\frac{184}{5}= (\frac{46}{10})\times (\text{Height})$

Height = $\frac{184}{5}\times \frac{10}{46}$

= $\frac{368}{46}$

= 8 units

Therefore, height of the given triangle is 8 units.

6 0

2 years ago

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What's the distance between (0,2) and (0,8)?

N76 [4]

Answer:

6 units

Step-by-step explanation:

The distance between two points can be calculated with the formula

$\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}$

However, since (0, 2) and (0, 8) have the same x coordinate of 0, the distance between them is the difference in their y-coordinates.

Distance between (0, 2) and (0, 8)

= 8 -2

= 6 units

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2 years ago

What is the measure of RMN?

wariber [46]

Answer:

The Answer is: 63°

Step-by-step explanation:

The angle 117° is the key information. Across the line, the angle 117° is part of the 180° across the line. Angle RMN is equal to 180° - 117° = 63°

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2 years ago

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Suppose the man in the St. Ives poem has x wives, each wife has x sacks, each sack has x cats, and each cat has x kits. Write an

marishachu [46]

Answer: $x+x^2+x^3+x^4$

Step-by-step explanation:

As per given,

Number of wives = $x$

Number of sacks = $x (\text{Number of wives} )= x\times x = x^2$

Number of cats = $x(\text{Number of sack})$ $= x \times x^2=x^3$

Number of kits = $x(\text{Number of cats} )=x\times x^3=x^4$

Now , the total number of kits, cats, sacks, and wives going to St. Ives = $x+x^2+x^3+x^4$

Hence, the required ex[pression: $x+x^2+x^3+x^4$

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3 years ago

Factor this expression completely.<br> 36y2 - 1

shtirl [24]

Answer:

(6y - 1)(6y + 1)

Step-by-step explanation:

To factorize completely, we may adopt the difference of 2 squares approach. The theory states that difference of two square is the product of the difference of the number and the sum of the numbers.

Such that

a² - b² = (a - b) (a + b)

Hence 36y² - 1

= 6²y² - 1²

= (6y)² - 1²

= (6y - 1)(6y + 1)

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3 years ago

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