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1 year ago

9

tim estimates that 60÷5.7 is about 10. Will the actual quotient be greater then or less than 10? explain

1 answer:

lana66690 [7]1 year ago

7 0

The actual quotient will be greater than 10 because 60 divided by 5 is 12, so the answer will be between 10 and 12, so it will be greater than 10

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Sean's mom asks him how long his homework will take. He tells her that he needs to read for 25 minutes and also do some math pro

quester [9]

Answer: h=25+m

Twenty five minutes of reading plus the math.

Complete the table? There is no table shown, but just add 25 to the values of m given to get h values, or take away 25 for given hs to get ms.

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2 years ago

If x and y are two positive real numbers such that x 2 +4y 2 =17 and xy =2, then find the value of x- 2y. a. 3 b. 4 c. 8 d. 9

Dafna11 [192]

Answer: The value of x- 2y is a. $\pm 3$ .

Step-by-step explanation:

Given: x and y are two positive real numbers such that $x^2+4y^2=17$ and $xy= 2$ .

Consider $(x-2y)^2=x^2-2(x)(2y)+(2y)^2\ \ \ [(a+b)^2=(a^2-2ab+b^2)]$

$=x^2-4xy+4y^2$

$=x^2+4y^2-4(xy)$

Put $x^2+4y^2=17$ and $xy= 2$ , we get

$(x-2y)^2=17-4(2)=17-8=9$

$\Rightarrow\ (x-2y)^2=9$

Taking square root on both sides , we get'

$x-2y= \pm3$

Hence, the value of x- 2y is a. $\pm 3$ .

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1 year ago

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1 year ago

Find pb, if pj=14 and jb= 28

anyanavicka [17]

Answer:

42

Step-by-step explanation:

Based on the information given, point j is the midpoint, as it is shared by both line segments. Set the equation:

pb = pj + jb

Note:

pj = 14

jb = 28

Plug in the corresponding numbers to the corresponding variables:

pb = pj + jb

pb = 14 + 28

pb = 42

pb = 42 is your answer.

~

3 0

1 year ago

Read 2 more answers

HELP PLS>>> The vector (3, - 7) ) is rotated by an angle of (3pi)/4 radians and then reflected across the y-axis. If th

horsena [70]

Answer:

$a \approx -2.826$ , $b \approx 7.072$

Step-by-step explanation:

First, the vector must be transformed into its polar form:

$r = \sqrt{3^{2}+ (-7)^{2}}$

$r \approx 7.616$

$\theta \approx 2\pi - \tan^{-1}\left(\frac{7}{3} \right)$

$\theta \approx 1.629\pi$

Let assume that vector is rotated counterclockwise. The new angle is:

$\theta' = \theta + \frac{3\pi}{4}$

$\theta' = 2.379\pi$

Which is coterminal with $\theta'' = 0.379\pi$ . The reflection across y-axis is:

$\theta''' = \pi - \theta''$

$\theta''' = 0.621\pi$

The equivalent vector in rectangular coordinates is:

$a = 7.616\cdot \cos 0.621\pi$

$a \approx -2.826$

$b = 7.616\cdot \sin 0.621\pi$

$b \approx 7.072$

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1 year ago