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2 years ago

Long rationalise surds questions pls help

Mathematics

1 answer:

Katena32 [7]2 years ago

3 0

Answer:

Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.

Step-by-step explanation:

Noah had to rationalize the denominator of $\frac{32}{5-\sqrt{7}}$

According to him,

$\frac{32}{5-\sqrt{7} = \frac{32(5+\sqrt{7}{(5-\sqrt{7})(5+\sqrt{7}$

Solving the nominator and denominator

$= \frac{160-32\sqrt{7}}{25+5\sqrt{7}-5\sqrt{7}-7}$

Noah did correctly till this point.

In the next step he add 25 and 7 in the denominator, whereas, it should be subtracted.

Hence,

Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.

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Denzel can mow 1/8 of his yard every 7 minutes. If he had 40 minutes to mow 3/4 of the yard, will he have enough time

ehidna [41]

Answer:

No. He is short by 2 minutes

Step-by-step explanation:

Given that Denzel can mow 1/8 of his yard every 7 minutes.

Hence he can mow the full yard in 7(8) = 56 minutes.

Now he has to do 3/4 of his yard and time is 40 minutes

For 3/4 of yard time taken would be = 3/4 (56) = 42 minutes.

If he had 40 minutes to mow 3/4 of the yard, he will not have enough time since he is short of time by 2 minutes.

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3 years ago

A space is defined as

IRINA_888 [86]

a continuous area or expanse that is free, available, or unoccupied.
the dimensions of height, depth, and width within which all things exist and move.
position (two or more items) at a distance from one another.

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3 years ago

Is trapezoid ABDC the result of a dilation of trapezoid MNPQ by a scale factor of Two-fifths? Why or why not? Yes, because AB an

IgorC [24]

Answer:

No, because AB is 2/5 the length MN but CD is 1/3 the length QP.

Step-by-step explanation:

Comparing the corresponding sides, the length of AB is 4. The length of MN is 10. This makes their ratio 4/10 = 2/5.

The length of CD is 2. The length of QP is 6. this makes their ratio 2/6 = 1/3.

The ratios of the sides are not the same, so the figure is not proportional and is therefore not a dilation.

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3 years ago

Read 2 more answers

Michelle likes chocolate but it causes acne. She chooses to limit herself to three pieces of chocolate every week. Except the fi

saul85 [17]

She eats 10 her first week so she eats 3 pieces for the next six weeks (3 each week)
10 + 3(6) = 28
10+3+3+3+3+3+3=28
7th term is 28
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3 years ago

Read 2 more answers

Help me and i’ll mark you brainliest plus you get 20 points !!!!

Anton [14]

Answer:

Angle bisector

Step-by-step explanation:

Find the measure of the angle COA. By angle addition postulate,

$m\angle COX=m\angle AOX+m\angle COA$

From the diagram,

$m\angle COX=80^{\circ}\\ \\m\angle AOX=40^{\circ},$

then

$80^{\circ}=m\angle COA+40^{\circ}\\ \\m\angle COA=80^{\circ}-40^{\circ}=40^{\circ}$

Find the measure of the angle BOA. By angle addition postulate,

$m\angle BOX=m\angle AOX+m\angle BOA$

From the diagram,

$m\angle BOX=60^{\circ}\\ \\m\angle AOX=40^{\circ},$

then

$60^{\circ}=m\angle BOA+40^{\circ}\\ \\m\angle BOA=60^{\circ}-40^{\circ}=20^{\circ}$

Find the measure of the angle COB. By angle addition postulate,

$m\angle COX=m\angle BOX+m\angle COB$

From the diagram,

$m\angle BOX=60^{\circ}\\ \\m\angle COX=80^{\circ},$

then

$80^{\circ}=m\angle COB+60^{\circ}\\ \\m\angle COB=80^{\circ}-60^{\circ}=20^{\circ}$

This means, the measures of angles COB and BOA are the same and are equal half the measure of angle COA, so angles COB and BOA are congruent. This means, the ray OB is the angle bisector of angle COA

6 0

3 years ago

Long rationalise surds questions pls help​

Long rationalise surds questions pls help