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Shtirlitz [24]
2 years ago
15

A triangular rug has sides that are 5 ft and 4 ft long with an included angle of 79°. what is the area of this rug? enter your a

nswer as a decimal in the box. round only your final answer to the nearest tenth. ft²
Mathematics
2 answers:
xenn [34]2 years ago
7 0

Answer:

i Just took the test the answer is 9.8 ft

kondor19780726 [428]2 years ago
6 0
Given the sides of a triangular rug and an included angle between them, the area is calculated through the equation,
                                     A = 0.5ab (cos C)
where a and b are the lengths of the side and C is the included angle. 
                                    A = 0.5(5 ft)(4 ft)(cos 79°)
                                            A = 1.9 ft²
Thus, the area of the triangular rug is approximately 1.9 ft².

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A salesperson receives step commission on sales calculated as follows:
kykrilka [37]

Answer:

$2278.846

Step-by-step explanation:

Given the following commision steps :

8% on first $1000;

12% next $2000;

20% on sales above $3000

Recorded sales for a week :

Monday $1500.00

Tuesday $3000.00

Wednesday $ 970.00

Thursday $4563.81

Friday $2760.42

This assu es that commision is calculated after weekly sales:

Total:

(1500 + 3000 + 970 + 4563.81 + 2760.42)

= $12794.23

8% on first $1000

0.08 × $1000 = $80

12% of $2000 = $240

20% of $(12794.23 - 3000)

= 0.2 × 9794.23

= 1958.846

Total commision for the week :

$(80 + 240 + 1958.846)

= $2278.846

7 0
2 years ago
A researcher is testing how bacterial cells react to different environments. She placed a petri dish that initially had 32,000 b
Nataly [62]

<u>Solution- </u>

A researcher placed a petri dish with 32,000 bacterial cells. One hour after being placed in the vacuum chamber, the number of cells in the petri dish had halved. Another hour later, the number of cells had again halved.

This can be represented as exponential decreasing function,

y=a(1 - r)^x

Where,

  • a = starting amount  = 32000
  • r = rate  = 50% = 0.5 as the sample becomes halved in each hour
  • x = hours

Putting the values,

\Rightarrow y=32000(1 - 0.5)^x

\Rightarrow y=32000(0.5)^x

y-intercept means, where x=0, so

\Rightarrow y=32000(0.5)^0\\\\\Rightarrow y=32000\times 1=32000

The coordinate of this poin will be (0, 32000)

This means when x=0 or at the starting of the research, the number of bacteria cells was 32000.

After 3 hours, number of bacteria cells will be,

\Rightarrow y=32000(0.5)^3

\Rightarrow y=32000\times 0.125

\Rightarrow y=4000

The  coordinate of this point will be (3, 4000)

7 0
2 years ago
The angles of a triangle are in the ratio 11 : 5 : 2. The side opposite the largest angle is 5.5 centimeters. The length of the
beks73 [17]
The side opposite the lasrgest angle will also be the largest side in the triangle

Here it s 5.5 cms.

so using the given ratios we have

2/11 = x /5.5   where x is the smallest side (opposite the smallest angle)

x = (2*5.5) / 11  =  1 cm.
4 0
2 years ago
Read 2 more answers
A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year
Roman55 [17]

Answer:

The required equation is y = 18(1.15)^x.

Step-by-step explanation:

Consider the provided information.

The Initial value of poster = $ 18

After 1 year amount of increase = $ 20.70

With the rate of 15% = 0.15

Let future value is y and the number of years be x.

y = 18(1.15)^x

Now verify this by substituting x=1 in above equation.

y = 18(1.15)^1=20.7

Which is true.

Hence, the required equation is y = 18(1.15)^x.

7 0
2 years ago
Read 2 more answers
A charity is holding a benefit at an italian restaurant. The owner of the restaurant offers to donate $200 in addition to $4 for
Paraphin [41]

200 +  {4 \times 46}
4 0
2 years ago
Read 2 more answers
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