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34kurt
3 years ago
13

The time period of a simple pendulum is directly related to the square root of its length. An 8 foot pendulum has a period of 3.

2 seconds . find a period for a grandfather clock that has a pendulum length of 3 feet.
Mathematics
1 answer:
svp [43]3 years ago
6 0

T_1=k \sqrt{8}

T_2=k \sqrt{3}

\frac{T_2}{T_1} = \frac{T_2}{3.2} = \frac{ \sqrt{3} }{ \sqrt{8} }

Then:

T_2=3.2 \sqrt{ \frac{3}{8} } =1.96 secs


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An ipad is worth R1200, excluding 15% VAT. What is the selling price of the ipad including VAT
alukav5142 [94]

Answer:

R1,380

Step-by-step explanation:

The price of the iPad without VAT is R1200

We calculate 15% to get;

=  \frac{15}{100}  \times 1200

= 180

Now the selling price of the iPad including VAT

1200 + 180

= 1380

Therefore, the selling price of the ipad including VAT is R1380

7 0
3 years ago
If the first number is increased by 7 and the second number is reduced by 6 times, the sum of these numbers is 29.
Marta_Voda [28]

Answer:

First number = 20

Second number = 12

Explanation:

Let the 1st number be x

Let the 2nd number be y

=====================

Condition 1

\sf \rightarrow  x + 7 + \dfrac{y}{6}  = 29

\rightarrow \sf x=-\dfrac{y}{6}+22

=====================

Condition 2

\rightarrow \sf 2y - (x - 5) = 9

\rightarrow \sf x = 2y -4

=====================

Substitute equations

\rightarrow \sf  -\dfrac{y}{6}+22 = 2y-4

\rightarrow \sf y=12

=====================

Find value of 1st number

\rightarrow \sf x = 2y - 4

\sf \rightarrow x = 2(12) - 4

\rightarrow \sf x = 20

7 0
2 years ago
7. Find the slope of the line through ( -2,6 ) & (3,14).
hammer [34]
14-6 over 3--2
8/5

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5 0
3 years ago
The width of a rectangle measures (2.5u+9.8)(2.5u+9.8) centimeters, and its length measures (1.5u+3.9)(1.5u+3.9) centimeters. Wh
icang [17]

Solution,

We have,

Width of rectangle, b = (2.5u+9.8) cm

Length of rectangle, l = (1.5u+3.9) cm

We need to find the expression for the perimeter of the rectangle. The formula for the perimeter of a rectangle is given by:

Perimeter = 2(l+b)

P = 2[(2.5u+9.8)+(1.5u+3.9)]

Collecting like terms

P = 2[(2.5u+1.5u)+(9.8+3.9)]

P=2(4u+13.7)

⇒ P = 8u+27.4

So, the expression for the perimeter of the rectangle is (8u+27.4) cm.

3 0
2 years ago
PLEASE HELP ME!!!!<br><br> Find the volume of this sphere.<br> Use 3 for pi.
AlekseyPX

Answer:

904cm3 just use an online sphere calculator they're easy to use

4 0
2 years ago
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