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valentinak56 [21]
3 years ago
15

Find the area of the rhombus.

Mathematics
2 answers:
ohaa [14]3 years ago
8 0

Answer:

Area of the rhombus is:

24 square units

Step-by-step explanation:

 Area of rhombus is given as:

    Area= b×h

where b is the base

and h is the height

let base of rhombus be the line joining (-4,1) and (2,1)

length of base=b= \sqrt{(-4-2)^2+(1-1)^2} \\\\=\sqrt{6^2}\\ \\=6

so, height is perpendicular to base which is line joining (0,5) and (0,1)

length of height=h=4

hence, Area = 6×4

                    = 24 square units

ale4655 [162]3 years ago
5 0
The\ length\ of\ the\ side\ of\ the\ rhombus:\\\\a=|-4-2|=|-6|=6\\\\The\ height\ of\ the\ rhombus:\\\\h=|5-1|=|4|=4\\\\The\ area\ of\ the\ rhombus:\\\\A=ah\\\\subtitute:\\\\A=6\cdot4=24\ (u^2)
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pashok25 [27]
<h3>Two possible answers: 6 or -6</h3>

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

Explanation:

r = common ratio

To get any term in a geometric sequence, we multiply the previous term by r.

So that means 4r is the second term, since 4 is the first term.

The third term is (4r)*r = 4r^2, which is equal to 9 as given to us.

4r^2 = 9

4r^2 - 9 = 0

(2r)^2 - (3)^2 = 0

(2r - 3)(2r + 3) = 0  ... difference of squares rule

2r-3 = 0 or 2r+3 = 0

2r = 3 or 2r = -3

r = 3/2 or r = -3/2

r = 1.5 or r = -1.5

We can use each r value to find the possible second term

S = 4r = 4*(1.5) = 6

S = 4r = 4*(-1.5) = -6

The second term is either 6 or -6.

We could have this sequence: 4, 6, 9, ...

Or we could have this sequence: 4, -6, 9, ...

4 0
3 years ago
A police office claims that the proportion of people wearing seat belts is less than 65%. To test this claim, a random sample of
babunello [35]

Answer: 0.345

Step-by-step explanation:

Given: The the setup for this hypothesis test:

H_0:p=0.65\\\\H_a:p

Since , the alternative hypothesis is left tail , so the test is left tail test.

P_0=0.65\\\\Q_0=1-0.65=0.35\\\\p=\dfrac{126}{200}=0.63

The test static for population proportion is given by :-

z=\dfrac{p-P_0}{\sqrt{\dfrac{P_0Q_0}{n}}}\\\\\Rightarrow\ z=\dfrac{0.63-0.65}{\sqrt{\dfrac{0.65-0.35}{126}}}=−0.409878030638\approx-0.4

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4 years ago
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zmey [24]
Y=2/3x -4 . First, you look for the y when x=0. Then you try to find the best variation
5 0
3 years ago
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Emily's family loves to work together
Evgesh-ka [11]

Answer:

They have <u>18</u> vegetable plants.

Step-by-step explanation:

Given:

Emily's family loves to work together  in the garden.

They have a. preference for flowers as 80% of  their plants are flowers and the rest  are vegetables.

They have 90 plants  in the garden.

Now, to find the number of vegetable plants.

<u><em>Total plants in the garden = 90.</em></u>

80% of the plants are flowers.

So, number of plants which are flowers = 80% of 90.

=\frac{80}{100} \times 90

=\frac{7200}{100}

=72\ plants.

<u><em>The number of flower plants = 72.</em></u>

Total plants = 90 (given)

So, to get the number of vegetable plants we subtract:

90-72=18\ plants.

<u><em>Thus, vegetable plants = 18.</em></u>

Therefore, they have 18 vegetable plants.

4 0
3 years ago
In the diagram Below
xxMikexx [17]

Answer:

  1. ∠UTC = 55°
  2. ∠UCD = 70°
  3. ∠BCT = 55°

Step-by-step explanation:

In this figure of overlapping parallelograms, each angle is related to the others by several different theorems involving triangles, parallelograms, and parallel lines. That is, there are several different ways one can arrive at the answers to this question.

__

<h3>UTC</h3>

∠UTC ≅ ∠UDC = 180° -∠EDU . . . opposite angles of parallelogram; linear pair

∠UTC = 180° -125° = 55°

__

<h3>UCD</h3>

∠UCD ≅ ∠TBC = 180° -∠TBA . . . . corresponding angles; linear pair

∠UCD = 180° -110° = 70°

__

<h3>BCT</h3>

∠BCT ≅ ∠UTC = 55° . . . . alternate interior angles

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2 years ago
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