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amm1812
3 years ago
5

Find the value of x. round your answer to the nearest tenth.

Mathematics
1 answer:
Yakvenalex [24]3 years ago
5 0

9514 1404 393

Answer:

  x ≈ 13.7

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(58°) = 22/x

  x = 22/tan(58°) ≈ 13.747

The value of x is about 13.7 units.

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A trapezoid has an area of 329 square feet. If the bases are 30 feet and 17 feet, what is the height of the trapezoid in feet? F
ExtremeBDS [4]

Answer:

The correct option is C.  14 ft

Step-by-step explanation:

To calculate the height, we will follow the steps below;

Formula is given to be:  h = 2A / b1 +b2

where h = height of the trapezoid   b1 and b2 are the bases of the trapezoid    and A is the area of the trapezoid

From the question given;

Area A =329 feet²      b1 = 30 feet    b2 =17 feet  

We can now proceed to insert the values into the formula

h = 2A / b1 +b2

h= 2(329)  / 30 + 17

h = 658 /47

h=14 feet

6 0
2 years ago
The Art and History Museum offers a family discount card for a donation of $57. I The table shows the price per person with and
Murljashka [212]

Answer:

8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

Step-by-step explanation:

                             Price without Discount Card   Price with Discount Card

Ticket (12 & Under)        $10                                             $8

Adult's Ticket                  $15                                           $12

Let x be the number of visits

Price without discount card for 2 adults and 1 child ticket

Price without discount for x visits = x(15 \times 2+ 10)=40x

Price with discount for x visits =57+ x(12 \times 2+ 8)=57+32x

Now to find For what number of visits will the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

57+32x< 40x

57<8x

7.1<x

So, 8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

8 0
3 years ago
In the following calculation, which part should be calculated first? 3 + (2 * 4) - 5 / 2
meriva

Always solve the parenthese first

8 0
3 years ago
Read 2 more answers
Which is the simplified answer
IceJOKER [234]

Answer:

C. Can you plz mark me brainliest?

Step-by-step explanation:

5 0
3 years ago
in hillary's garden, she has 5 variety of snake plants and 15 variety of orchids. what is the ratio of snake plants to orchids?
bezimeni [28]

Answer:

1:3

Step-by-step explanation:

She has 1 snake plant for every 3 orchids.

4 0
2 years ago
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