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3 years ago

A paper sheet is cut 28 inches to the nearest inches. Find the maximum and minimum length of the patient possible.

Mathematics

1 answer:

aliina [53]3 years ago

4 0

Answer:

max: 28.5 inches
min: 27.5 inches

Step-by-step explanation:

If the actual dimension were different from 28 inches by more than 1/2 inch, it would be reported as a different dimension. So, the minimum that will be reported as 28 is 27.5. The maximum that will be reported as 28 will be 28.4999999.... ≈ 28.5

The maximum and minimum length of the sheet are 28.5 inches and 27.5 inches, respectively.

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At 3:30 p.m., Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same time

timurjin [86]

E=egg farm

x=distantce between the Berto´s trains and the meeting point.

t=time where the trains meet up

⇒110 miles/h ⇒85miles/h

[---------------------------E----------------------]-------------------------------------X

[............12 miles.......][........34 miles.....][------------ x ----------------------]

distance between Berto´s train and Eduardo´s train=

=12 miles+34 miles=46 miles.

S=d/t ⇒d=S*t

S=seed

d=distance

T=time

Eduardo´s train;

46 miles+x=t*110 miles/h ⇒x=t*110 miles/h-46 miles (1)

Berto´s train;

x=t*85 miles/h (2)

With the equations (1) and (2) we suggest this system equations:

x=t* 110 miles/h-46 miles

x=t*85 miles/h

we solve this system equiations :

t*110 miles/h-46 miles=t*85 miles/h

110t miles/h-85t miles/h=46 miles

25 t miles/h=46 miles

t=46 miles/25 miles/h=1,84 hour (≈1 hour, 50 minutes, 24 seconds)

x=t*85 miles/h=156,4 miles

Solution: 1,84 hour

3 0

3 years ago

Read 2 more answers

AB and CD are parallel find the value of y Show clearly how you got your answers with reasons

Zina [86]

Answer:

y = 167°

Step-by-step explanation:

The vertex of the triangle = 154° ( alternate angle to 154° )

The triangle has 2 equal legs so is isosceles with 2 base angles congruent

base angle = $\frac{180-154}{2}$ = $\frac{26}{2}$ = 13°

base angle and y are adjacent angles, lie on straight line AB and sum to 180°

y + 13° = 180° ( subtract 13° from both sides )

y = 167°

5 0

2 years ago

Factor completely 2x^3+4x^2+6x+12

PilotLPTM [1.2K]

Answer: 2(x^3+2x+3x+6)

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Number 1 and 2 please (25 points)

Elenna [48]

Answers:

1) $(3x+2)+(4-5x)=-2x+6$

$(3+2i)+(4-5i)=7-3i$

2) $(1-3x)(2+x)=-3x^{2}-5x+2$

$(1-3i)+(2+i)=5-5i$

Step-by-step explanation:

In mathematics there are rules related to complex numbers, specifically in the case of addition and multiplication:

Addition:

If we have two complex numbers written in their binomial form, the sum of both will be a complex number whose real part is the sum of the real parts and whose imaginary part is the sum of the imaginary parts (similarly as the sum of two binomials).

For example, the addition of these two binomials is:

$(3x+2)+(4-5x)=3x-5x+2+4=-2x+6$

Similarly, the addition of two complex numbers is:

$(3+2i)+(4-5i)=3+4+2i-5i=7-3i$ Here the complex part is the number with the $i$

Multiplication:

If we have two complex numbers written in their binomial form, the multiplication of both will be the same as the multiplication (product) of two binomials, taking into account that $i^{2}=-1$ .

For example, the multiplication of these two binomials is:

$(1-3x)(2+x)=2+x-6x-3x^{2}=-3x^{2}-5x+2$

Similarly, the multiplication of two complex numbers is:

$(1-3i)+(2+i)=2+i-6i-3i^{2}=2-5i-3(-1)=5-5i$

8 0

3 years ago

Find the two points on the line to be graphed 4x+4y=-9

Blababa [14]

4x+4y=-9
first change into yintercept form
y=-x-9/4
to find yintercept let x=0
y=-0-9/4
y=-9/4 or -2.25
to find xintercept let y=0
0=-x-9/4
x=-9/4
so the x and y coordinates are -2.25 and -2.25 respectively

4 0

3 years ago