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4 years ago

Alice buys a book for £19.80

Mathematics

2 answers:

Ierofanga [76]4 years ago

7 0

Answer:35%

Step-by-step explanation:

arlik [135]4 years ago

5 0

Answer:

The answer is $6.93 Hope I helped you!

Step-by-step explanation:

So if you subtract $19.80 - $12.87 = $6.93

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A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint.

oksano4ka [1.4K]

Answer:

2 cans

Step-by-step explanation:

Given that :

Radius of pool = 30 feets

Using the relation for the Area of a circle :

Area = pi*r^2

Thus,

Area of pool = 3.14 * 30^2

Area of pool = 3.14 * 900 = 2826feet²

Paints are sold in cans of 5 gallon

5 gallon of paint = 1500 feet²

Least number of 5 gallon can required :

2826 feet² / 1500 feet² = 1.884 cans

Hence,

Least number of 5 gallon can required = 2 cans

7 0

3 years ago

Please help me thank you

hichkok12 [17]

solution for #18 is C and for #19 is D

8 0

3 years ago

Read 2 more answers

Issouf claims that the scale factor is 1/2. which statement about his claim is correct?

love history [14]

Answer:

The correct option is D.

Step-by-step explanation:

It is given that Issouf claims that the scale factor is 1/2.

From the given figure it is clear that

$CB'=C'B'=2$

$B'B=6$

$CB=CB'+B'B=2+4=6$

The scale factor of a figure is

$k=\frac{\text{Length of any side of image}}{\text{Length of corresponding side of preimage}}$

$k=\frac{C'B'}{CB}$

$k=\frac{2}{6}$

$k=\frac{1}{3}$

The scale factor is 1/3 because CB is actually 2 + 4 = 6.

Therefore the correct option is D.

4 0

3 years ago

Read 2 more answers

in her kayak bunny can travel 70 miles downstream with the current in 5 hours. the return trip against the current takes 7 hours

Alinara [238K]

9514 1404 393

Answer:

kayak: 12 mph
current: 2 mph

Step-by-step explanation:

Bunny's rate downstream is ...

(70 mi)/(5 h) = 14 mi/h = k + c

Bunny's rate upstream is ...

(70 mi)/(7 h) = 10 mi/h = k -c

The kayak speed is the average of these:

(14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2

(24 mi/h)/2 = 2k/2

12 mi/h = k

Then the current speed is ...

c = k -10 = 12 -10 = 2 . . . . mi/h

The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.

_____

<em>Additional comment</em>

World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.

4 0

3 years ago

Find the measures of the three angles, in radians, of the triangle with the given vertices: d(1,1,1), e(1,−5,2), and f(−2,2,7).

Oduvanchick [21]

Consider triangle DEF with vertices D(1,1,1), E(1,-5,2) and F(-2,2,7).

1. Find

$\overrightarrow{DE}=(1-1,-5-1,2-1)=(0,-6,1),\\ \\\overrightarrow{DF}=(-2-1,2-1,7-1)=(-3,1,6).$

Then

$\cos \angle D=\dfrac{0\cdot (-3)+(-6)\cdot 1+1\cdot 6}{\sqrt{0^2+(-6)^2+1^2}\cdot \sqrt{(-3)^2+1^2+6^2}}=\dfrac{0}{\sqrt{37} \cdot \sqrt{46} }=0.$

2. Find

$\overrightarrow{ED}=(1-1,1-(-5),1-2)=(0,6,-1),\\ \\\overrightarrow{EF}=(-2-1,2-(-5),7-2)=(-3,7,5).$

Then

$\cos \angle E=\dfrac{0\cdot (-2)+6\cdot 7+(-1)\cdot 5}{\sqrt{0^2+6^2+(-1)^2}\cdot \sqrt{(-3)^2+7^2+5^2}}=\dfrac{37}{\sqrt{37} \cdot \sqrt{83} }=\sqrt{\dfrac{37}{83}}.$

3. Find

$\overrightarrow{FE}=(1-(-2),-5-2,2-7)=(3,-7,-5),\\ \\\overrightarrow{FD}=(1-(-2),1-2,1-7)=(3,-1,-6).$

Then

$\cos \angle F=\dfrac{3\cdot 3+(-7)\cdot (-1)+(-5)\cdot (-6)}{\sqrt{3^2+(-7)^2+(-5)^2}\cdot \sqrt{3^2+(-1)^2+(-6)^2}}=\dfrac{46}{\sqrt{83} \cdot \sqrt{46} }=\sqrt{\dfrac{46}{83}}.$

$\angle E=\arccos0=\dfrac{\pi}{2},\\ \\
\angle D=\arccos\letf(\sqrt{\dfrac{37}{83}}\right)\approx 0.27\pi,\\ \\
\angle F=\arccos\letf(\sqrt{\dfrac{46}{83}}\right)\approx 0.23\pi.$

3 0

3 years ago