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3 years ago

Can someone plsss help me :((

Mathematics

1 answer:

nevsk [136]3 years ago

6 0

Answer:

Step-by-step explanation:

equation is y=2x+3

The point we have is (15,29)

i.e. x=15 and y=29

if we put x=15 in the equation we should get the value of y=29

y=2(15)+3

=30-3

=27

Here, we didn't get y=29 instead we got y=27

So the point (15,29) doesn't follow that equation

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A 4-foot tall child walks directly away from a 12-foot tall lamppost at 2 mph. How quickly is the length of her shadow increasin

xz_007 [3.2K]

Answer:

The length of the shadow is increasing with the rate of 1.5 feet per sec

Step-by-step explanation:

Let AB and CD represents the height of the lamppost and child respectively ( shown below )

Also, let E be a point represents the position of child.

In triangles ABE and CDE,

$\angle ABE\cong \angle CDE$ ( right angles )

$\angle AEB\cong \angle CED$ ( common angles )

By AA similarity postulate,

$\triangle ABE\sim \triangle CDE$

∵ Corresponding sides of similar triangles are in same proportion,

$\implies \frac{AB}{CD}=\frac{BE}{DE}$

We have, AB = 12 ft, CD = 4 ft, BE = BD + DE = 6 + DE,

$\implies \frac{12}{4}=\frac{6+DE}{DE}$

$12DE = 24 + 4DE$

$8DE = 24$

$DE=3$

Now, the speed of walking = 2 mph = $\frac{2\times 5280}{3600}\approx 2.933\text{ ft per sec}$

Note: 1 mile = 5280 ft, 1 hour = 3600 sec

Thus, the time taken by child to reach at E

$= \frac{\text{Walked distance}}{\text{Walking speed}}$

$=\frac{6}{2.933}$

= 2.045 hours

Hence, the change rate in the length of shadow

$= \frac{\text{Length of shadow}}{\text{Time taken}}$

$=\frac{3}{2.045}$

= 1.5 ft per sec.

3 0

3 years ago

The task I need explaining is: how to show that an estimate of the mean time spent on homework is 64.8 minutes. Thanks!

xenn [34]

It's just an estimate. There's no telling how close it is.

To estimate using just the information in the table,
ASSUME that the average of all the students in each
slot is the average time of that slot.

I know that's confusing. I can't think of a better way to say it,
so here are two examples of what I mean. Look at the table:

-- 6 students said that they spent between 0 and 30 minutes.
ASSUME that those 6 students averaged 15 minutes each.

-- 21 students said that they spent between 60 and 90 minutes.
ASSUME that those 21 students averaged 75 minutes each.

So, when you add up the times for all 50 students, you'll have

(6 x 15 min) + (14 x 45 min) + (21 x 75min) + (9 x 105 min) =

When you total up all those times, divide it by 50 to estimate
the average per student.

Remember ... it's only an estimate.
If the first group had 1 student that spent 2 minutes, and
the other 5 of them spent 29 minutes, then it won't work.
But you'll never know.

5 0

3 years ago

Which ordered pair is a solution to the equation y= 6x - 2?

Dmitry [639]

Answer:

(5, 28)

Step-by-step explanation:

y= 6x - 2

Verifying pairs:

(1,0)

0 = 6*1 - 2
0 = 4 - incorrect

(5, 28)

28 = 6*5 - 2
28 = 30 -2
28 = 28 - correct

(6, 20)

20 = 6*6 - 2
20 = 36 - 2
20 = 34 - incorrect

(3, 19)

19 = 6*3 - 2
19 = 18 - 2
19 = 16 - incorrect

4 0

3 years ago

What is equivalent to 1.43 × 10²?

True [87]

To do this, take 1.43 and move the “.” two places to the right (the 2 comes from the exponent on 10). So your answer is 143.

4 0

4 years ago

The equation of a circle is given below: (x - 0.5) + (y - 3.5)=16 what is it’s center and radius

r-ruslan [8.4K]

Circle equation: (x - h) + (x - k) = r²

(h, k) = center

r = radius

The center (0.5, 3.5)

To find the radius, take the square root of 16.

√16 = 4

The radius is 4.

Best of Luck!

8 0

4 years ago