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Anna35 [415]
1 year ago
12

In a rectangle, the length is five times the width.

Mathematics
1 answer:
8_murik_8 [283]1 year ago
3 0

Answer:The perimeter =12w

Step-by-step explanation:

Let the width represent W and Length represent L

Length= 5 x width

L=5W

W=W

Since perimeter =2(L+w)

Substitute for L=5w

=2(5w+w)

=2(6w)

=12w

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In adjoining figure a circle is inscribed in the quadrilateral ABCD given that BC is equal to 38 cm cube is equal to 27 cm and B
lukranit [14]

<h3>Radius = 14cm</h3>

Step-by-step explanation:

Let O be the centre of the circle. Since P and S are the points of contact of tangents AD and DC respectively, OP ⊥ AD and OS ⊥ DC

Also, AD ⊥ DC (given), therefore, OPDS is a square.

BR = BQ = 27cm...(tangents from an external point to a circle are equal in length)

therefore, CR = CB - BR = (38 - 27)cm = 11cm

SC = CR = 11 cm...(tangents from an external point) therefore, DS = DC - SC = (25 - 11) cm = 14 cm.

therefore,

Radius of a circle = OP = DS = 14 cm...(therefore, OPDS is a square).

<h3>Hope it helps you!! </h3>
5 0
2 years ago
Read 2 more answers
Quadrilateral ABCD is dilated by a scale factor of 1 over 2 centered around (2, 2). Which statement is true about the dilation?
Musya8 [376]

Answer:

Option (1)

1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.

Step-by-step explanation:

The rest of the question is the attached figure (1).

The statement options are:

1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.

2) Segment B'D' will run through (2, 2) and will be longer than segment BD.

3) Segment B'D' will parallel to segment BD and will be shorter than segment BD.

4) Segment B'D' will be parallel to segment BD and will be longer than segment BD.

==============================================================

See the attched figure (2), which represents Quadrilateral ABCD and the image A'B'C'D'

As shown:

The quadrilateral ABCD with vertices A(1,2), B(2,3), C(4,2) and D(2,1).

Quadrilateral ABCD is dilated by a scale factor of 1 over 2 centered around (2, 2).

So,

The quadrilateral A'B'C'D' will be with vertices:

A'= (1.5,2), B'= (2,2.5), C'= (3,2), D'= (2,1.5)

Comparing the options with the figure (2):

So, the answer is option (1)

1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.

6 0
3 years ago
On a package of rice, the directions say that the ratio of cups of water to cups of uncooked rice should be 1: 1 2 . a. What is
iragen [17]
A) To cook 1/2 cup of rice, the package tells you that you also need 1 cup of water. The the total volume of ingredients is
.. 1/2 c + 1 c = 1 1/2 c


b) According to the package the ratio of water to rice is
.. water : rice = 1 : 1/2 = 2 : 1
Then the ratio of water to total ingredients is
.. water : (water + rice) = 2 : (2 +1) = 2 : 3

Susan's ratio is incorrect. Susan is using "1" for the total of ingredients, instead of 2+1 = 3. The correct ratio is 2:3.
5 0
3 years ago
32% of what number equals 8? First, what is 32% written as a decimal? Enter your answer in the box. 32% =
ANEK [815]

32% = 0.32

we know that 0.32 × a number = 8

we can set this number as the variable x

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4 0
3 years ago
Read 2 more answers
What are the coordinates of the vertex of the function below write your answer in the form y-9= -6(x-1)^2
Oliga [24]

Answer:

The co-ordinates of the vertex of the function y-9= -6(x-1)^2 is (1, 9)

<u>Solution:</u>

Given, equation is y-9=-6(x-1)^{2}

We have to find the vertex of the given equation.

When we observe the equation, it is a parabolic equation,

We know that, general form of a parabolic equation is  y-9=-6(x-1)^{2}

Where, h and k are x, y co ordinates of the vertex of the parabola.

\text { Now, parabola equation is } y-9=-6(x-1)^{2} \rightarrow y=-6(x-1)^{2}+9

By comparing the above equation with general form of the parabola, we can conclude that,

a = -6, h = 1 and k = 9

Hence, the vertex of the parabola is (1, 9).

7 0
3 years ago
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