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3 years ago

7.

Mathematics

1 answer:

zlopas [31]3 years ago

6 0

Answer:

1. Capacity of the box in Litres: 7.917L≈8L

2. Volume of wood used in making the box: 1197cm^3

3. The mass of the box: 1496.25g/cm^3

Step-by-step explanation:

1. 29×21×13=7917cm^3

7917cm^3 → 7.917dm^3→7.917L≈8L

2. Outside Volume: 29×21×13=7917cm^3

Inside Volume: 28×20×13=6720cm^3

7917-6720=1197cm^3

3. 1197×1.25=1496.25g/cm^3

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Andrew must spend less than $72 on meals during the weekend. He has already spent $27 on meals, with each meal costing $9 on ave

NeX [460]

The answer is D. x < 5.
9x+27 <72
9x <72-27
9x <45
x <45÷9
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3 years ago

Ind the approximate increase in its area if its radius increases from mm to mm. [Recall that the area of a circle is A.]

nlexa [21]

Answer:

Increase in area of circle is $263.76$ square mm

Step-by-step explanation:

The actual question is

Find the approximate increase in its area if the radius increases from 20 mm to 22 mm.

Solution

The area of a circle of radius r is given by

$A = \pi r^2$

Area of circle of radius 20 mm is

$A_1 = \pi 20^2\\A_1 = 400\pi$ square mm

Area of circle of radius 22 mm is

$A_2 = \pi 22^2\\A_2 = 484\pi$ square mm

Increase in area of circle

$A_2 - A_1 = 484 \pi - 400 \pi \\A_2 - A_1 = 84 \pi \\A_2 - A_1 = 263.76$ square mm

7 0

3 years ago

6 millimeters equals to how many centimeters

12345 [234]

.6 Centimeters my friend

7 0

3 years ago

Read 2 more answers

If you have 12% withheld for federal taxes, 7% for state taxes, and FICA is 7.65%, how much are your involuntary withholdings in

grandymaker [24]

Answer:

Step-by-step explanation:

The required withholding amounts are ...

federal tax = 0.12×$1375 = $165.00
state taxes = 0.07×$1375 = $96.25
FICA = 0.0765×$1375 = $105.19

So, the total involuntary withholding is ...

$165.00 +96.25 +105.19 = $366.44

We want to find the voluntary withholding such that ...

(gross pay) - (involuntary withholding) - (voluntary withholding) = (net pay)

Adding (voluntary withholding - net pay) to both sides of this equation, we get ...

(gross pay) - (involuntary withholding) - (net pay) = (voluntary withholding)

Filling in the values we know gives ...

$1375 -366.44 -725 = voluntary withholding = $283.56

Your voluntary withholding is $283.56.

6 0

3 years ago

Find an equation of the line that passes through the given points. (Let x be the independent variable and y be the dependent var

lara [203]

Answer:

y=5x-6

Step-by-step explanation:

Hello

let´s see , we have P1(3,9) and P2(4.14)

first let's find its slope

$m=\frac{y2-y1}{x2-x1} = \frac{14-9}{4-3}$

$m=\frac{5}{1} \\m=5$

the slope is 5.

$y-y_{0} = m(x-x_{0} )\\\\using P1\\\\ y-9 = 5(x-3)\\\\y=5x-15+9\\\\y=5x-6$

where x is the independent variable and y is the dependent variable

Have a great day.

8 0

3 years ago