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Anit [1.1K]
3 years ago
7

What is the length of the base of a right triangle with an area of 20m2 and the height of 4 m

Mathematics
1 answer:
Eva8 [605]3 years ago
8 0

Answer:

The base is 10 meters

Step-by-step explanation:

The area of a right triangle is (b × h) ÷ 2 = a

Let's input the given values and find the value of b:

(b × 4) ÷ 2 = 20

4b ÷ 2 = 20

2b = 20

b = 10

Check:

(10 × 4) ÷ 2 = 20

40 ÷ 2 = 20

20 = 20

It works!

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3 years ago
the volume of a cylindrical watering can is 100cm^3. If the radius is doubled, then how much water can the new can hold?
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V=(pi)(2r^2)(h)
V=4(pi)(r^2)(h)
V=4(100 aka the old volume)
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3 years ago
Goal
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The development of the personal budget that convinces parents that one can maintain an independent living is detailed as follows using the 50: 30: 20 rule:

50% for necessities (housing, food, transportation, utilities) $740

30% for luxuries, savings, vacations, entertainment, etc. $461

20% for Emergency Funds and Retirement $335

<h3>What is a personal budget?</h3>

A personal budget is the household budget for a single person for a period.

The personal budget shows an estimate of the person's revenue and expenses over the period.

<h3>Data and Calculations:</h3>

Hourly rate of earnings = $12

Working hours per week = 40 hours

Working hours per month = 160 hours (40 x 4 weeks)

Total monthly earnings = $1,920 ($12 x 160)

Assumed tax rate = 20%

After-tax take-home pay = $1,536 ($1,920 x 1 - 20%)

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Rent of apartment = $300

Heating = $40

Water cost = $20

Sewage bill = $10

Food = $300

Transportation = $50

Other costs = $20

Total cost for necessities = $740

Thus, the development of the personal budget shows that one can maintain an independent living from the parents as a single person.

Learn more about personal budgets at brainly.com/question/1943261

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2 years ago
Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who
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y = (x + 20)[tan(40)] - 1.5

tan(60) = (y + 1.5) / x

y + 1.5 = (x)[tan(60)]

y = (x)[tan(60)] - 1.5

(x)[tan(60)] - 1.5 = (x + 20)[tan(40)] - 1.5

(x)[tan(60)] = (x + 20)[tan(40)]

(x)[tan(60)] = (x)[tan(40)] + (20)[tan(40)]

(x)[tan(60)] - (x)[tan(40)] = (20)[tan(40)]

(x)[tan(60) - tan(40)] = (20)[tan(40)]

x = [(20)(tan(40))] / [tan(60) - tan(40)]

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6 0
3 years ago
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Answer: 15 games

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