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3 years ago

I need help on this question

Mathematics

1 answer:

Maru [420]3 years ago

5 0

To solve this question, simply use the formula for volume of cylinder, which is

2pi r^2 + Pi r h

2(3.14)(4) + (3.14)(2)(8)

It would be approximately 48 + 48 = 96 units^3.

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After 8/15 of an hour, Jane has completed painting 3/5 of the wall. At this rate, how much of the wall will she finish painting

LuckyWell [14K]

Answer:

Step-by-step explanation:

Find the unit rate for this painting:

3/5 of wall surface 3/5 15 9

------------------------------- = --------------- * --------- = -----------

(8/15) hour 8/15 15 8

Jane could actually paint the whole wall plus 1/8 more of it in one hour.

5 0

3 years ago

Which of the following are solutions to the equation below? Check all that apply. 4x2 - 12x + 9 = 5

Anika [276]

Step-by-step explanation:

4x² - 12x + 9 = 5 → 4x² - 12x + 4 = 0 → x² - 3x + 1 = 0

∆ = b² - 4ac → ∆ = (-3)² -4(1)(1) = 9 - 4 = 5

x = (-(-3) ± √5)/2(1) = (3 ± √5)/2

x² - 3x + 1 = 0 → (x - 3/2)² - 9/4 + 1 = 0 → (x - 3/2)² = 5/4 → x - 3/2 = ±√5 / 2 → x = ½( 3 ± √5)

4 0

3 years ago

3-X²=-7<br><br> How do I solve

irga5000 [103]

Answer:

x = 3.162

Step-by-step explanation:

Your first step is to get x by itself by subtracting 3 from both sides.

3- $x^{2}$ = -7

- $x^{2}$ = -10

Now multiply by both sidex by -1 to make x positive.

$x^{2}$ = 10

now take the square root of both sides.

$\sqrt {x^{2}$ = $\sqrt{10}$

x = $\sqrt{10}$

x = 3.162

8 0

3 years ago

A carpenter has several boards of equal length. He cuts 3/5 of each broads.After cutting the boards the carpenter notices that h

Bess [88]

Answer:

Step-by-step explanation:

Length of boards are the same :

Let number of boards = x

Fraction cut from each board = 3/5

Total fraction cut = 3/5 * x

Fraction left = 1 - 3/5 = 2/5

Total fraction left = 2/5 * x

Total pieces left = 2/5 * x = 4 times length of original board

Note ; original fraction = 1

Hence,

2/5 * x = 4 * 1

2x / 5 = 4

2x = 4 * 5

2x = 20

x = 20 / 2

x = 10

Number of boards = 10

4 0

3 years ago

A car dealer will sell you a used car for $6,498 with $798 down and payments of $162.51 per month for 48 months. what is the int

Mkey [24]

Answer:

Interest rate is 1.4% and APR is 16.8%.

Step-by-step explanation:

Given,

The original cost of the car = $ 6,498,

Down payment = $ 798,

So, the present value of loan, P.V. = original cost - down payment

= $ 6,498 - $ 798 = $ 5700,

Now, the monthly payment, P = $ 162.51,

Number of months, n = 48,

Let r be the monthly interest rate,

Since, monthly payment formula of a loan,

$P=\frac{PV(r)}{1-(1+r)^{-n}}$

$162.51=\frac{5700r}{1-(1+r)^{-48}}$

By graphing calculator,

$r=0.014= 1.4\%$

Hence, interest rate = 1.4%,

And, APR = 12 × 1.4% = 16.8%.

4 0

3 years ago