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attashe74 [19]
3 years ago
14

A rectangular rug is 12.5 and 10 the rug needs to be reduced by the scale factor of 1/5 to be placed near a door.what is thearea

in square feet
Mathematics
1 answer:
Murrr4er [49]3 years ago
6 0

12.5 * 10 = 125 square feet (ORIGINAL RUG)

2.5 * 2 = 5 square feet (SCALED RUG)

or

10 * 8 = 80 square feet (SCALED RUG)

Its one of these, you didnt provide enough info to get one answer. Hope this helped though!

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Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
DENIUS [597]

Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

5 0
4 years ago
What type of angle is show​
9966 [12]

A right angle is 90 degrees, an obtuse angle is larger than 90 degrees and an acute angle is less than 90 Degrees.

The angle shown is smaller than 90 degrees so it is c. Acute

6 0
3 years ago
The areas of two similar triangles are 75m2 and 300m2. The length of one of the sides of the second triangles is 9m. What is the
Ymorist [56]

Answer:

4.5 m

Step-by-step explanation:

The area of two similar triangles are 75 m2 and 300 m2. This gives you the scale factor of the triangles:

\dfrac{A_{small}}{A_{large}}=k^2\Rightarrow k^2 =\dfrac{75}{300}=\dfrac{3}{12}=\dfrac{1}{4}\Rightarrow k=\dfrac{1}{2}.

Then you can find the length of the corresponding side:

\dfrac{side_{small}}{side_{large}}=k\Rightarrow =\dfrac{side_{small}}{9}=\dfrac{1}{2},\ side_{small}=\dfrac{9}{2}=4.5\ m.

4 0
3 years ago
Find the sine of ∠U.<br><br> A)48/55<br> B)48/73<br> C)55/48<br> D)55/73
charle [14.2K]

Answer:

D) 55/73

Step-by-step explanation:

The question is on trigonometry. Sine of an angle is obtained using the SOH of SOHCAHTOA formula of trigonometry. SOH is an acronym for sine, opposite and hypotenuse. Sine of an angle is obtained from the ratio of opposite and hypotenuse of a given triangle. Thus, SOH

is denoted as stated below.

sine \:  \beta  =  \frac{opposite}{hypotenuse}

Hence, given the above triangle,

sine \: of \: angle \: u =  \frac{ |bc| }{ |ab| }  =  \frac{55}{73}

Therefore, the sine of angle u = 55/73 (D)

6 0
3 years ago
Daisy and Sam scored baskets at the basketball game in the ratio of 3:2. Daisy scored 6 more baskets than Sam. How many baskets
Scorpion4ik [409]
Daisy scored 15 baskets
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3 years ago
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