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3 years ago

10

Which math operation determines the following pattern? 1, 4, 16, 64, ...? addition subtraction multiplication division

2 answers:

marta [7]3 years ago

6 0

The answer is multiplication.

1 x 4 = 4

4 x 4 = 16

16 x 4 = 64

So each term is getting multiplied by 4 to find the next term.

Fantom [35]3 years ago

3 0

I think is multiplication

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P is a point (8,11). Q is a point on the y-axis so that PQ=10. Find the coordinates of Q.

Annette [7]

Answer:

The possible co-ordinates of the point Q are (0,5) and (0,17).

Step-by-step explanation:

Given:

P is a point (8,11)

Q is point on y-axis

PQ = 10 units

To find co-ordinates of point Q.

Solution:

Any point on y-axis is given as $(0,y)$ as $x=0$ at y-axis.

Let the point Q be = $(0,y)$

We use the distance formula to find length of PQ.

By distance formula:

The distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given as:

$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

Thus, for the point P(8,11) and Q(0, $y$ ) the distance PQ can be given as:

$PQ=\sqrt{(8-0)^2+(11-y)^2}$

$PQ=\sqrt{(8)^2+(11-y)^2}$

$PQ=\sqrt{64+(11-y)^2}$

Substituting PQ=10 units.

$10=\sqrt{64+(11-y)^2}$

Squaring both sides.

$10^2=(\sqrt{64+(11-y)^2})^2$

$100=64+(11-y)^2$

Subtracting both sides by 64.

$100-64=64-64+(11-y)^2$

$36=(11-y)^2$

Taking square root both sides.

$\sqrt{36}=\sqrt{(11-y)^2}$

$\pm6=11-y$

So, we have two equations to solve:

$6=11-y$ and $-6=11-y$

Adding $y$ both sides.

$6+y=11-y+y$ and $-6+y=11-y+y$

$6+y=11$ and $-6+y=11$

Subtracting both sides by 6 for one equation and adding 6 both sides for the other equation.

$6-6+y=11-6$ and $-6+6+y=11+6$

∴ $y=5$ and $y=17$

Thus, the possible co-ordinates of the point Q are (0,5) and (0,17).

6 0

3 years ago

Dana buys a plot of land that is 30 yards by 50 yards to build a new house. Dana’s blueprint for the new house shows that the ho

maks197457 [2]

Answer:

Solution: Convert the lot dimensions to feet

35 yards ×3 feet1 yard=105 feet

50 yards ×3 feet1 yard=150 feet

So the area of the entire lot is 105 feet×150 feet=15,750 square feet.

Therefore the percent of the lot NOT covered by Dana's house will be

15,750−160015,750≈0.898≈90%.

Solution: Convert the house area to square yards

Step-by-step explanation:

1 yard=3 feet,

so

1 square yard=3 feet×3 feet=9 square feet.

Therefore, Dana's house covers

1600 square feet×1 square yard9 square feet≈177.8 square yards.

On the other hand, Dana's lot is 35 yards×50 yards=1,750 yards.

The percentage of Dana's lot NOT covered by her house is:

1,750−177.81,750≈0.898≈90%

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3 years ago

A 20 foot lamp post casts a shadow that is 28 feet long. Standing next to the lamp post is a 6 foot tall man. About how long is

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It looks like the shadow for the lamp only went up 8 feet so I assuming it would go up 8 feet as well for the guy

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3 years ago

Help please !!!!!!!!!

Anni [7]

I’m not really sure about the answer but I’m doing the same think n this should help sorry ‍♀️

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It would take the car 20 seconds

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