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REY [17]
3 years ago
13

A triangle is rotated 90° about the origin. Which rule describes the transformation?

Mathematics
1 answer:
Hitman42 [59]3 years ago
8 0

Answer:

second option

Step-by-step explanation:

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x )

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To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?
kati45 [8]

Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

        111.6° + ∠C = 180°

                    ∠C = 180° - 111.6°

                    ∠C = 68.4°

Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

\frac{BC}{sinA}=\frac{AB}{SinC}

\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}

BC[sin(68.4)] = 646 [sin(18.6)]

BC = \frac{646*sin(18.6)}{sin(68.4)}

BC = \frac{646 * 0.3190}{0.9298}

BC = 221.63

BC = 222 meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

7 0
3 years ago
Find the EXACT circumference if the area is 196π square feet. Unit of measurement is feet or ft
Elena-2011 [213]

Answer:

87.9645943005 feet

Step-by-step explanation:

The formula for the area of a circle is pi x radius to the power of 2. What number to the power of 2 is 196? 14.

So, the radius is 14.

The formula for the circumference of a circle is pi x diameter. If the radius is 14, the diameter is 28.

28 x pi = 87.9645943005

4 0
2 years ago
A chain of sports shops catering to beginning skiers, headquartered in Aspen, Colorado, plans to conduct a study of how much a b
Hitman42 [59]

Answer:

47.4 ;

50

Step-by-step explanation:

Given the data :

X ($) : 85 139 161 175 85 133 149 145 136 131 290 235 132 149 322 214 105 90 162 229 121 113 149 126139 118 156 214 172 87 172 230 195 126 128 142 118 139

The smallest class interval :

Range / number of classes

Number of classes to use = 5

Range = Maximum - Minimum = (322 - 85) =237

Hence, smallest class interval :

237 / 5 = 47.4

A better class interval would be, one without decimal, rounded to the nearest 10; this will be easier and make more statistical sense

Hence, smallest class interval rounded to the nearest 10 :

47.4 = 50 (nearest 10)

3 0
2 years ago
I have a radius of 35ft, what is the diameter ?
lianna [129]

Answer:

r=35ft, d=70ft. when r=15 mm, d=30mm

Step-by-step explanation:

Radius is half of diameter

3 0
2 years ago
Drag and drop the numbers into the boxes to create an expression that is equivalent to the given expression. b+b+b+b+4c−2b−c
Marat540 [252]

Answer:

I know this is late, but for<em> future people</em>:

I believe the answer is <u>2b+3c</u>.

Step-by-step explanation:

I'm pretty sure all you have to do is combine like terms.

I'm also taking the test at the moment.

3 0
3 years ago
Read 2 more answers
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