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monitta
3 years ago
15

Lisa went to the hardware store and bought 12 pieces rope. Each rope was 34 of a meter long. If the rope cost $3.50 a meter, how

much did she spend?
Mathematics
1 answer:
andrew11 [14]3 years ago
7 0
One rope = 34m
12 ropes = 34 x 12 = 408m
Total cost = $3.50 x 408 = $1428
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What is the rate of change for 2y+3=3x
Elenna [48]
The rate of change in z at (4,9) as we change x but hold y fixed is = 3/[2sqrt(3x+2y)] put x = 4 , y = 9 = 3/[2sqrt(12+18) = 3/[2sqrt(30)] The rate of change in z at (4,9) as we change y but hold x fixed is = 1/sqrt(3x+2y) put x = 4, y =9 = 1/sqrt(30)
5 0
3 years ago
You run 18 miles in 2 hours and 45 miles in 5 hours how fast are you running
Lesechka [4]
So let's find the unit rate of these.

18 mi/ 2 hrs = 9 mi/ 1hr

45 mi / 5 hrs = 9 mi/ 1 hr

So you are running 9 miles an hour.

If you have any questions please comment! :)
6 0
3 years ago
Read 2 more answers
HELP PLEASE!!!!
kumpel [21]

Answer:

The rational numbers are \frac{11}{3}, 6.25, 0.01045,\sqrt{\frac{16}{81}},0.\bar{42} and the irrational functions are \sqrt{48},\sqrt{\frac{3}{16}}.

Step-by-step explanation:

A rational number can be expressed in the form of \frac{p}{q}, where p and q are integers and q is not equal to 0. For example 2,3.5,\frac{2}{5},....

An irrational function can not be expressed in the form of \frac{p}{q}, where p and q are integers and q is not equal to 0. For example \sqrt{2},\sqrt{3},\sqrt{5},....

If any number is multiplied by a irrational number then the resultant number is an irrational number.

By the above definition we can conclude that:

The number \frac{11}{3} is a rational number.

\sqrt{48}=\sqrt{16\times 3}=4\sqrt{3}

Therefore \sqrt{48} is an irrational number.

6.25=\frac{625}{100}=\frac{25}{4}

Therefore 6.25 is a rational number.

0.01045=\frac{1045}{100000}=\frac{209}{20000}

Therefore 0.01045 is a rational number.

\sqrt{\frac{16}{81}}=\frac{4}{9}

The number \frac{16}{81} is a rational number.

\sqrt{\frac{3}{16}}=\frac{\sqrt{3}}{4}

The number \frac{3}{14} is an irrational number.

0.\bar{42}=\frac{42}{99}

Therefore 0.\bar{42} is an irrational number. The numbers with recursive bar are always rational numbers.

3 0
3 years ago
Find (a) arc length and (b) Area of a sector.
barxatty [35]

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

<u>Formula</u>

\textsf{Arc length}=r \theta

\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta

\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}

<u>Calculation</u>

Given:

  • \theta=\dfrac{5 \pi}{8}
  • r = 15 cm

\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}

\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}

5 0
1 year ago
44.69 rounded to the nearest tenth
Romashka-Z-Leto [24]
The answer would be 44.7 not 44.5
3 0
3 years ago
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