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3 years ago

The length of a rectangular plot is 6m less than thrice its breath. Find the dimensions of the plot if its perimeter is 148m.

Mathematics

1 answer:

Elena-2011 [213]3 years ago

6 0

length of a rectangle is 6 less than 3 times its width"

L = 3W-6

"perimeter of the rectangle is 148 meters"

2L + 2W = 148

L + W = 74

(3W-6) + W = 74

4W = 80

W = 20 m

L = 3W-6 = 54 m

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The vertices of ΔGHI are G (2, 4), H (4, 8), and I (8, 4). The vertices of ΔJKL are J (1, 1), K (2, 3), and L (4, 1). Which conc

Klio2033 [76]

Answer:

They are similar by the definition of similarity in terms of a dilation.

Step-by-step explanation:

The first step is finding the sides of each triangle.

In triangle GHI, we have that:

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HI = sqrt((8-4)^2 + (4-8)^2) = 5.6569

IG = sqrt((2-8)^2 + (4-4)^2) = 6

Now, for the triangle JKL, we have:

JK = sqrt((2-1)^2 + (3-1)^2) = 2.2361

KL = sqrt((4-2)^2 + (1-3)^2) = 2.8284

LJ = sqrt((1-4)^2 + (1-1)^2) = 3

The triangles are not congruent, because the sides are different

They are similar, because their sides have a proportion (sides of GHI are 2 times the sides of JKL). If they are similar, they have the same angles.

The ratio of their corresponding sides is 1:2, not 1:3

The ratio of their corresponding angles is 1:1, not 1:3

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3 years ago

What is the lateral area of the cone? 10 yd and 12.1 yd

Harman [31]

Answer:

The lateral area will be "381 yd²". A further solution is provided below.

Step-by-step explanation:

The given values are:

Radius of cone,

r = 10 yd

Height of cone,

L = 12.1 yd

As we know,

The lateral surface area of cone is:

= $\pi r L$

On substituting the values, we get

= $\frac{22}{7}\times 10\times 12.1$

= $\frac{22}{7}\times 121$

= $380.28 \ yd^2$

0r,

= $381 \ yd^2$

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