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3 years ago

Need help fast please thanks

Mathematics

1 answer:

murzikaleks [220]3 years ago

8 0

Answer:

c = 41 ft

Step-by-step explanation:

To solve this problem, we can use the pythagorean theorem, which is defined by the formula $a^2+b^2=c^2$ . We are given both the lengths of the legs, so all we need to do is to plug them both in and solve for c:

$9^2+40^2 = c^2\\c^2 = 81 + 1600\\c^2 = 1681\\c = 41$

This is the first option.

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Use differentials to estimate the amount of paint needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with dia

Mademuasel [1]

An hemispherical dome is half a sphere. If the diameter is 60 m, then the radius is 30 m.

We can use differentials to solve this problem because we are adding a thin layer to the original dome, so the volume of the dome in increased by a differential of itself.

This differential volume that the dome is increased is equal to the volume of the coat of paint.

The volume of the dome can be written as:

$\begin{gathered} V=\frac{4\pi}{3}r^3 \\ \frac{dV}{dr}=\frac{4\pi}{3}\cdot3r^2\Rightarrow dV=\frac{4\pi}{3}\cdot3r^2\cdot dr=4\pi r^2\cdot dr \end{gathered}$

Now, we can calculate dV as:

$\begin{gathered} dV=4\pi r^2\cdot dr \\ dV\approx4\cdot3.14\cdot(30m)^2\cdot0.07\operatorname{cm}\cdot\frac{1m}{100\operatorname{cm}} \\ dV\approx12.57\cdot900m^2\cdot0.0007m \\ dV\approx7.92m^3 \end{gathered}$

Answer: the paint needed for this coat is approximately 7.92 m^3

5 0

1 year ago

Original price of a cell phone is 154.99$ the discount is 20% what's the price off

Irina-Kira [14]

To get 10 % you have to divide by 10 .
so 154.99 ÷ 10 = 15.499.
that's 10% but you want 20% so you times 10% by 2.
15.499 X 2 = 30.998.
154.99 - 30.998 = 123.992.
you then need to round the answer so you get $123.99
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6 0

3 years ago

Probability of choosing a bead that is either green or purple.

netineya [11]

Answer:

58 %

Step-by-step explanation:

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3 years ago

Solve the system by substitution Y= -7x + 6 Y = - 10x Plz help

snow_tiger [21]

Answer:

(-2, 20)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -7x + 6

y = -10x

Step 2: Solve for x

Substitution

Substitute in y [1st Equation]: -10x = -7x + 6
[Addition Property of Equality] Add 7x on both sides: -3x = 6
[Division Property of Equality] Divide -3 on both sides: x = -2

Step 3: Solve for y

Substitute in x [2nd Equation]: y = -10(-2)
Multiply: y = 20

7 0

3 years ago

Read 2 more answers

You deposit $200 each month into an account earning 3% interest compounded monthly.

zvonat [6]

The total amount of money accrued ( principal and interest ) in 35 years is $570.78.

<h3>What is the total amount accrued?</h3>

The formula for compound interest is expressed as;

A = P( 1 + r/t )^(n×t)

Given the data in the question;

Principal P = $200
Rate r = 3% = 3/100 = 0.03
Compounded monthly n = 12
Time t = 35
Amount accrued in 35 years A = ?

Plug the given values into the equation above.

A = P( 1 + r/n )^(n×t)

A = 200( 1 + 0.03/12 )^(12×35)

A = 200( 1 + 0.0025 )^(420)

A = 200( 1.0025 )^(420)

A = 200( 2.85390914 )

A = $570.78

Therefore, the total amount of money accrued ( principal and interest ) in 35 years is $570.78.

Learn more about compound interest here: brainly.com/question/27128740

#SPJ1

7 0

1 year ago