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2 years ago

1. In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest

Mathematics

1 answer:

PIT_PIT [208]2 years ago

3 0

Answer:

b. 3

Step-by-step explanation:

In a 30°-60°-90° triangle, the short side is ½ the hypotenuse [the long side is double the short side].

30°-60°-90° Triangles

x√3 → long side

x → short side

2x → hypotenuse

45°-45°-90° Triangles

x → two legs

x√2 → hypotenuse

I am joyous to assist you anytime.

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(y= –2x – 5<br> Ty= 2x – 2

Elden [556K]

Answer:

t=2x-2/-2x-5

Step-by-step explanation:

y=-2x-5

ty= 2x-2

add the y value in

t-2x-5=2x-2

combine like terms

t=4x+3

hope this helps :)

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2 years ago

What is the image of the point (-1,-3)(−1,−3) after a rotation of 90 degrees counterclockwise about the origin?

ycow [4]

Answer:

(3,-1)

Step-by-step explanation:

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3 years ago

Mr. Lawrence used 100 tiles when he put a new floor in the kitchen 34 tiles are squares and 16 tiles are rectangles write the to

Oliga [24]

<h3>Fraction of square tiles = $(\frac{4}{25}) = 0.16$ </h3><h3>Fraction of rectangle tiles = $(\frac{17}{50}) = 0.34$ </h3>

Step-by-step explanation:

Total number of tiles to be used in the kitchen = 100

The total number of square tiles = 34

The total number of rectangle tiles = 16

Now, calculating the total fraction of square tiles:

The fraction of square tiles = $\frac{\textrm{Total number of square tiles}}{\textrm{Total number of tiles}} = \frac{16}{100} = \frac{4}{25}$

Also, solving the fraction, we get $\frac{4}{25} = 0.16$

So, the decimal value of square tiles = 0.6

Calculating the total fraction of rectangle tiles:

The fraction of rectangle tiles = $\frac{\textrm{Total number of rectangle tiles}}{\textrm{Total number of tiles}} = \frac{34}{100} = \frac{17}{50}$

Also, solving the fraction, we get $\frac{17}{50} = 0.34$

So, the decimal value of rectangle tiles = 0.34

4 0

2 years ago

Fine the sum of the series

lapo4ka [179]

Answer:

6825

Step-by-step explanation:

From the equation, the series is a geometric series, such that

a = 5

r = 4

n = 6

sum of a geometric series is a(r^n - 1)/(r - 1)

therefore,

sum of the series is 5 x (4^6 - 1) / (4 - 1)

= 5 x (4096 - 1) / 3

= 5 x 4095 / 3

= 6825

6 0

3 years ago

The price of a ring was increased by 9% to £1800. What was the price before the increase? Give your answer to the nearest penny.

Alla [95]

Answer:

see steps

Step-by-step explanation:

New price was increase from 100% to 109% at £1800.

By proportionality,

old price / 100% = 1800 / 109%

Cross multiply to get

old price = $1800 * 100% / 109% = £1651.38

6 0

2 years ago

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