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vivado [14]
3 years ago
10

Find the area of the polygon.

Mathematics
2 answers:
frez [133]3 years ago
4 0

Answer:

Solution given:

diagonal 1=AC=6+6=12units

diagonal 2=BD=2+10=12units

area of polygon (rhombus)=½*(diagonal 1*diagonal 2)

=½(12*12)=12*6=72square units

Area=<u>72square units</u>

svetoff [14.1K]3 years ago
3 0

Answer: 72

Step-by-step explanation: 6*2=12 6*10=60 Normally you would divide by 2 to get triangles but since there are two of each, you don't.

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How do you check? <br> -5r+-3=51
Varvara68 [4.7K]

-5r + (-3) = 51

Add 3 to both sides:

-5r = 54

Divide both sides by -5 to get r alone:

r = -10.8

To check this, plug in -10.8 into the equation: -5(-10.8) + (-3) = 51

54 + (-3) = 51

54 - 3 = 51

51 = 51

This statement is true, so the answer is correct.

5 0
3 years ago
There are 24 books on the bookcase 3/4 of these books are science fiction how many books are science fiction
jok3333 [9.3K]

Answer:

<u>18 of the books are science fiction.</u>

Step-by-step explanation:

24/4 = 6

Science fiction - 6+6+6 = 18

Not science fiction - 24 - 18 = 6

7 0
4 years ago
Can someone please help w/this
Vikentia [17]

The smallest of the 3 interior angles of the triangle is 10 degrees. Note that the diagram is not to scale.

Thus, sin 10 degrees = opp / hyp = 200 m / x

0.1736 = (200 m) / x, or x = (200 m) / 0.1736

= 1152 m (rounded up from 1151.75 m).

4 0
3 years ago
what is the equation in standard form of a parabola that models the values in the table x -2 0 4 f(x) 0 -6 78
grandymaker [24]

Answer:

 y=4x^2+5x-6

Step-by-step explanation:

Given points are :

  x     =    -2      0       4

y=f(x) =    0       -6      78

We have to model the parabola with the help of these points

Solution:

We consider a standard equation of parabola y= ax^2+bx+c

now, we put the points in the equation we get,

at (-2,0) is    4a-2b+c=0

at (0,-6) is    c=-6

at (4,78) is    78= 16a+4b+c  

now, solving these equation we get, a= 4    , b= 5    , c= -6

so the equation formed with these points is   y=4x^2+5x-6

we can see this in the graph attached.

3 0
4 years ago
Read 2 more answers
A data set consists of the data given below plus one more data point. When the additional point is included in the data set the
belka [17]

Answer:

Value of additional data point is 31.

Step-by-step explanation:

We are given the following data set:

34, 18, 18, 40, 11, 22, 30, 25, 19, 21, 45 34, 18, 18, 40, 11, 22, 30, 25, 19, 21, 45

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{487}{20} = 24.35

The old mean is 24.35

A new data was added in the data. The new mean is 24.667

We have to find the value of additional point.

Let x be the added point in the data set.

Thus, we can write:

24.667 = \displaystyle\frac{487+x}{21}\\\\x = 21(24.667)-487 = 31.007 \approx 31

Thus, value of additional data point is 31

4 0
4 years ago
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