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marissa [1.9K]
3 years ago
12

If the length of the rectangle is 15 units long and the width is 11 units long, how long is the diagonal

Mathematics
1 answer:
OleMash [197]3 years ago
4 0

Answer:

18.6 units

Step-by-step explanation:

A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. A diagonal can be drawn between opposite corners that splits the triangle into two equal right triangles. The distance of this diagonal is found using the Pythagorean Theorem a² + b² = c². In the rectangle a = 11 and b = 15. Substitute these values and simplify using a square root operation.

11² + 15² = c²

121 + 225 = c²

346 = c²

√346 = c

18.6= c

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What shape is in the interior of these four<br> lines? Classify it.
Airida [17]

Answer:

parallelogram

Step-by-step explanation:

5 0
3 years ago
Need help right way asap
kari74 [83]

Answer:

A is 2 out of 6

Step-by-step explanation:

Probability of him pulling the one with parallel sides is 2/6 because there are only two out of 6 with parallel lines

7 0
2 years ago
Read 2 more answers
Y = 3/5x + 1, 5y = 3x - 2, 10x - 6y = -4<br> is it perpendicular, parallel, neither
Ber [7]

Answer:

y=\frac{3}{5} x+1 and 5y=3x-2 are parallel.

10x-6y=-4 is neither parallel nor perpendicular.

Step-by-step explanation:

First, you have to simplify each equation in terms of y.

y=\frac{3}{5} x+1\\5y=3x-2\\10x-6y=-4

Your first equation is already in terms of x, so simplify your second equation.

5y=3x-2\\y=\frac{3}{5} x-\frac{2}{5}

Now you can simplify your third equation.

10x-6y=-4\\-6y=-10x-4\\y=\frac{5}{3} x+\frac{2}{3}

These are your three equations in terms of y:

y=\frac{3}{5} x+1\\\\y=\frac{3}{5} x-\frac{2}{5} \\\\y=\frac{5}{3} x+\frac{2}{3}

Now, all you have to know is how to tell using your slope if a line is parallel or perpendicular to another.

Two parallel lines will have the exact same slope.

Two perpendicular lines will have slopes which are opposite reciprocals. For example, a line with a slope of 2 is perpendicular to a line with a slope of -\frac{1}{2}, as they have opposite signs and are reciprocal (2/1 versus 1/2) to each other.

Your first two equations have the same slope and are therefore parallel.

Your third equation is a reciprocal, but it is not opposite, and is therefore not parallel nor perpendicular.

5 0
3 years ago
30 points please answer honestly. Geometry help needed. <br> D is 9.32
Vadim26 [7]

Answer:

7.75 m

Step-by-step explanation:

First find the circumference. Use the formula C = 2πr

C = 2(3.14)(3)

C = 18.84

148° is a fraction of the entire circle which is 360°

Multiply

18.84/1 x 148/360

2788.32/360

7.745

4 0
3 years ago
What is the arithmetic rule to the sequence: <br>1/3,4/3,7/3<br><br>find: f(10)
makkiz [27]

The the value of f(n)=\frac{28}{3}

Step-by-step explanation:

The Arithemetic sequence is given as a,a+d,a+2d......a(n-1)d

and f(n)=a(n-1)d

The given sequence is 1/3,4/3,7/3...

By comapring with Arithemetic sequence,

we get a=1/3

a+d=4/3

1/3 + d = 4/3

d=1

To find value of f(10):

take n=10

f(n)=\frac{1}{3} +(10-1)1

f(n)=\frac{1}{3} +(9)1

f(n)=\frac{1+27}{3}

f(n)=\frac{28}{3}

8 0
3 years ago
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