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4 years ago

Please help me on number 64!! I'm so confused.

Mathematics

2 answers:

makkiz [27]4 years ago

5 0

Distance =√(x2−x1)^2+(y2−y1)^2
distance =√(24-3)^2+(12-6)^2
distance =√(21)^2+(6)^2
distance = √(441+36
distance = √477
distance = 21.8403

but each unit = 185
so
21.8403 x 185 = 4040.5

answer is B. 4040.5

tamaranim1 [39]4 years ago

3 0

The answer is C since it is approximate. Basically just count the tiles, multiply by 185. And use the Pythagorean theorem.

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To find the extreme values of a function f(x,y) on a curve xequalsx(t), yequalsy(t), treat f as a function of the single vari

pychu [463]

Answer:

Absolute maximum is 2

Absolute minimum at -2

Step-by-step explanation:

The given parametric functions are:

$x=2\cos t,y=2\sin t$

By the chain rule:

$f'(t)=\frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$\frac{df}{dt} =\frac{2 \cos t}{-2\sin t} =-\cot(t)$

At fixed points, $f'(t)=0$

$\implies -\cot (t)=0$

This gives $t=\frac{\pi}{2} ,\frac{3\pi}{2}$ on $0\le t\le 2\pi$

This implies that the extreme points are $(2\cos \frac{\pi}{2}, 2\sin \frac{\pi}{2})=(0,2)$ and $(2\cos \frac{3\pi}{2}, 2\sin \frac{3\pi}{2})=(0,-2)$

By eliminating the parameter, we have $x^2+y^2=4$

This is a circle with radius 2, centered at the origin.

Hence (0,2) is an absolute maximum ,at $t=\frac{\pi}{2}$ and (0,-2) is an absolute minimum at $t=\frac{3\pi}{2}$

7 0

3 years ago

If an electric kettle uses

cupoosta [38]

Answer:

The energy used in 3.5 hours = 5.25 kilowatts

Step-by-step explanation:

Energy used by electric kettle:

$2\frac{1}{4}=\frac{9}{4}=2.25$ kilowatts

Time taken by electric kettle:

1.5 hours

Electric kettle's rate in kilowatts per hour can be calculated by dividing the spent energy i.e. 2.25 kilowatts by the time taken i.e. 1.5 hours.

Therefore,

Electric kettle's rate = 2.25 kilowatts / 1.5 hour

= 1.5 kilowatts per hour

Thus, the energy used in 3.5 hours = 1.5 × 3.5

= 5.25 kilowatts

Therefore, the energy used in 3.5 hours = 5.25 kilowatts

3 0

3 years ago

What is the solution of x=2+√x-2 ?

Blizzard [7]

C. \: x = 2 \: or \: x = 3

3 0

3 years ago

1/2 + 5/3 - 1 ------------------ 3/4

Sav [38]

Hey there :)

$\frac{ \frac{1}{2}+ \frac{5}{3} -1 }{ \frac{3}{4} }$
↓ Is the same as
$\frac{1}{2} + \frac{5}{3} -1$ ÷ $\frac{3}{4}$

Since it is a division by fraction, we can multiply by what is called the reciprocal
( The attached picture might help you )
( $\frac{1}{2} + \frac{5}{3} - 1$ ) × $\frac{4}{3}$
↓ For this part, we need the common denominator, which is 6
$\frac{1(3)}{2(3)}+ \frac{5(2)}{32)} \frac{1(6)}{1(6)}$ × $\frac{4}{3}$

$\frac{3}{6}+ \frac{10}{6} - \frac{6}{6}$ × $\frac{4}{3}$
$\frac{7}{6}$ × $\frac{4}{3}$
$\frac{14}{9} = 1\frac{5}{9}$
↑
Your final answer

7 0

4 years ago

A soccer team won only 10 of their first 30 games. How many of their remaining 20 games will they have to win to have a .500 rec

jeka94

Answer: 5 games

Step-by-step explanation: A .500 record means that the soccer team won half of their games ( that's how I interpret it). Since they are going to play 30 games, they need to win half of 30 or 15 games to have that record. 15-10 = 5. So, they need to win 5 more games to have a .500 record.

8 0

2 years ago