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vlada-n [284]
2 years ago
5

Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,

and the angle between the sloping sides is 77°. What is the shortest distance between the tip of the cone and its rim? A. 177.8 centimeters B. 64.3 centimeters C. 50.3 centimeters D. 51.1 centimeters E. 41.1 cm
Mathematics
2 answers:
Gemiola [76]2 years ago
7 0

Answer:

D. 51.1

Step-by-step explanation:

#platofam

melamori03 [73]2 years ago
6 0

Answer:

D. 51.1

Step-by-step explanation:

plato

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Juliet is selling photographs as part of a project for her entrepreneurship class. She sells the first 20 photographs for 15 eac
garik1379 [7]

Answer:

The correct option would be B) 20

Step-by-step explanation:

Consider the complete question is,

"Juliet is selling photographs as part of a project for her entrepreneurship class. She sells the first 20 photographs for 10 each, because the first 20 photographs sold quickly, she raised the price of the photograph to 15 each for the rest of the project. After her expenses, Juliet earns a profit of 80% of the revenues from her sales. What is the least number of photographs she must sell for the rest of the project to earn a profit of at least $400"

Now,  80% of sales = profit

\implies \text{Sales}=\frac{100\times Profit}{80}

If, Profit =  $400

\text{Sales}=\frac{100\times 400}{80}=\$ 500

∵ 20 photographs are sold for 10 each,

Since, revenue in first selling = 20 × 10 = $ 200,

Let she must sold x photographs for the rest of the project,

∵ price of each photograph in second selling = $ 15,

So, revenue in second selling = x × 15 = $ 15x,

Thus, total sales = 200 + 15x

⇒ 200 + 15x = 500

⇒ 15x = 500 -  200

⇒ 15x = 300

⇒ x = 20

Therefore, she must sell 20 photographs for the rest of her project.

i.e. OPTION B) is correct.

7 0
2 years ago
Hey I need some help!! Does anyone mind giving me the answers and explain how? I really don’t understand. PS the question is in
Ksenya-84 [330]

Answer:

2x2x2x5

Step-by-step explanation:

2x2x2x5 equals 40

6 0
1 year ago
All members of our painting team paint at the same rate. If $20$ members can paint a $6000$ square foot wall in $24$ minutes, th
Yuri [45]

Let x represent time taken by 20 members to paint 9000 square foot wall.

We have been given that all members of our painting team paint at the same rate. 20 members can paint a 6000 square foot wall in 24 minutes. We are asked to find the time taken by 20 members to paint 9000 square foot wall.

We will use proportions to solve our given problem.

\frac{\text{Time taken}}{\text{Area of wall painted}}=\frac{24\text{ min}}{6000\text{ ft}^2}

\frac{x}{9000\text{ ft}^2}=\frac{24\text{ min}}{6000\text{ ft}^2}

\frac{x}{9000\text{ ft}^2}\times 9000\text{ ft}^2=\frac{24\text{ min}}{6000\text{ ft}^2}\times 9000\text{ ft}^2

x=\frac{24\text{ min}}{6}\times 9

x=4\text{ min}\times 9

x=36\text{ min}

Therefore, it will take 36 minutes for 20 members to paint 9000 square foot wall.

6 0
2 years ago
Read 2 more answers
triangle rst is congruent with VST is shown. given Line st is the perpendicular bisector of line RV prove triangle rst is congru
cluponka [151]

Answer:perpendicular bisector theorem

Step-by-step explanation:

7 0
1 year ago
Read 2 more answers
Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000,
Damm [24]

Answer:

Susan's take-home pay <u>$48,645</u>.

Step-by-step explanation:

Given:

Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000, and state tax withholding of $4,000. Employers are required to withhold a 6.2% Social Security tax and a 1.45% Medicare tax.

Now, to find Susan's take-home pay.

Basic salary = $70,000.

Now, her tax withholdings:

Federal income tax = $12,000.

State tax = $4,000.

<u><em>Social security tax = 6.2% of $70,000.</em></u>

=\frac{6.2}{100} \times 70,000\\\\=0.062\times 70,000\\\\=\$4340.

<u><em>Medicare tax = 1.45% of $70,000.</em></u>

=\frac{1.45}{100} \times 70000\\\\=0.0145\times 70000\\\\=\$1015.

Now, to get the take-home pay of Susan's we subtract all the tax holdings of federal, state, social and medicare from the basic salary:

70,000-(12,000+4,000+4340+1015)

=70,000-(21,355)

=70,000-21,355

=\$48,645.

Therefore, Susan's take-home pay $48,645.

7 0
2 years ago
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