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Lubov Fominskaja [6]
3 years ago
5

Find the area of parallelogram ABCD given m A = 30 and the following measures. AB = 6 ft.; AX = 3√3 A = ? A. 18 ft.² B. 18√3 ft.

² C. 36√3 ft.²

Mathematics
2 answers:
S_A_V [24]3 years ago
6 0

Answer:

Given that a parallelogram ABCD has sides AB= 6 ft and AX = 3√3

Angle A =30

To find the area of the parallelogram

We have area of parallelogram = base x height

Here base can be taken as side AB = 6 ft

Height = perpendicular distance of AB from vertex X

= AX sin A

= 3√3sin30

=1.5√3

Hence area =6(1.5√3)=9√3ft^2

Read more on Brainly.com - brainly.com/question/12140514#readmore

Step-by-step explanation:

xxTIMURxx [149]3 years ago
5 0

Answer:

18√3 ft²

Step-by-step explanation:

The area of a parallelogram is given by the formula

A = bh, where b is the length of the base and h is the length of the height.

The base of the parallelogram is AB, which is 6 ft.

The height forms a right angle with the base; this is AX, which is 3√3.

This makes the area 6(3√3) = 18√3 ft²

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In the following figure, JL is tangent to circle o at point K.
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Answer:

B

Step-by-step explanation:

the angle formed by radius and tangent are right angles

6 0
3 years ago
Parking lot has 121 spots. Ratio of senior to junior is 7 to 4. How many spots go to each grade level?
Andrej [43]
I am going to build a chart this is best when using ratios 

              seniors    junior  total
                 7              4       
                 *?             *?     *?
    Totals                          121   

The way we fill out this chart is that we add the rows and multiply the columns. 

So we add 7 + 4 and fill it in our chart we get 11 

            seniors    junior  total
                 7              4       11
                 *?             *?     *?
    Totals                          121   

now to find the *? need to divide 121/11 to get *?

121/11 = 11

so now our chart looks like this 
            seniors    junior  total
                 7              4       11
                 11            11     11
    Totals                          121   

Now we multiply each column 

so
7 * 11  = 77
 4*11 = 44

now our chart look like this 

            seniors    junior  total
                 7              4       11
                 11            11     11
    Totals     77           44      121   

so seniors get 77 spaces 
and juniors get 44 spaces. 

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8 0
3 years ago
Write 40% as a fraction in simplest form.
professor190 [17]

Answer:

4/10

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
214 people used a public swimming pool. $1.50 for kids and $2.25 for adults. The receipt totaled to $390 How many children and h
zysi [14]

Answer:the number of kids that used the public pool that day is 122

the number of adults that used the public pool that day is 92

Step-by-step explanation:

Let x represent the number of kids that used the public pool that day.

Let y represent the number of adults that used the public pool that day.

214 people used a public swimming pool. This means that

x + y = 214

1.50 for kids and $2.25 for adults. The receipt totaled to $390. This means that

1.5x + 2.25y = 390 - - - - - - - - - -1

Substituting x = 214 - y into equation 1, it becomes

1.5x

1.5(214 - y) + 2.25y = 390

321 - 1.5y + 2.25y = 390

- 1.5y + 2.25y = 390 - 321

0.75y = 69

y = 69/0.75 = 92

Substituting y = 92 into x = 214 - y, it becomes

x = 214 - 92 = 122

5 0
3 years ago
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