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maxonik [38]
4 years ago
9

an electrician has 4.1 meters of wire. How much stripes 7/10m long can he cut? How much wire will he have left over?

Mathematics
2 answers:
GalinKa [24]4 years ago
7 0

From 4.1 meters wire, we can make 5 stripes with 0.6 meters wire being left.

<u>Solution:</u>

Given that, an electrician has 4.1 meters of wire.  

We have to find  

1) Number of stripes 7/10m long can he cut:

Now, we know that, number of stripes he can make =\frac{\text {available length of wire}}{\text {Length of each stripe}}=\frac{4.1}{\frac{7}{10}}

\Rightarrow \frac{4.1}{\frac{7}{10}}=4.1 \times \frac{10}{7}=\frac{41}{7}=5.857

So, he can make 5 full stripes. We have to neglect fractional value as that is not considered as stripe.

2) Measure of left over wire:

No, we know that, remaining length of wire = total wire length-used length wire  

\begin{array}{l}{\text { Length of left over wire }=4.1 \text { meters- number stripes used }\times \text {length of each stripe }} \\\\ {\text { Length of left over wire }=4.1-5 \times \frac{7}{10}=4.1-\frac{7}{2}=4.1-3.5=0.6 \text { meters }}\end{array}

So, 0.6 meters of wire is left.

ratelena [41]4 years ago
4 0

Answer:

5 such strips of \frac{7}{10}\ m can be cut and \frac{6}{10}\ m  would be left over.

Step-by-step explanation:

Given is4.1= \frac{41}{10}\ m length of a wire.

We have to cut strips of \frac{7}{10}\ m

If we factorize 41 \ by \ 7

We get 5 full and and \frac{6}{7}

Similarly , if we factorize \frac{41}{10} \ by \ \frac{7}{10}

We get full 5 \ strips and another \frac{6}{10} \ m would be left.

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Bogdan [553]

Answer:

The 4-5

Step-by-step explanation:

8 0
3 years ago
An airplane leaves an airport at 9:00 p.M. With a heading of 270 and a speed of 610 mph. At 10:00 p.M. The pilot changes the he
timama [110]

Answer:

2330.51 miles

Step-by-step explanation:

Given that the speed of the airplane = 610 mph.

The airplane leaves an airport at 9:00 P.M. with a heading of 270 degrees and at 10:00 P.M., the pilot changes the heading to 310 degrees.

So, for 1 hour the plane is heading at 270 degrees and for 3 hours, from 10:00 p.m to 1:00 a.m, the plane is heading at 310 degrees as shown in the figure.

As, distance = time x speed, so

The distance covered at 270 degrees, d_1 = 1\times610=610 miles.

The distance covered at 310 degrees, d_2 = 3\times610=1830 miles.

Total distance covered, d, is the magnitude of the sum of vectors \vec{d_1} and \vec{d_2} as shown in the figure.

The angle between the vectors \vec{d_1} and \vec{d_2}, \theta=310-270=40 degree.

Magnitude of sum of the vectors \vec{d_1} and \vec{d_2},

d= \sqrt{|\vec{d_1}|^2+|\vec{d_2}|^2+2|\vec{d_1}|\;|\vec{d_2}|\cos\theta} \\\\\Rightarrow d=\sqrt{610^2+1830^2+2|\vec{d_1}|\;|\vec{d_2}|\cos\(40^{\circ})}

\Rightarrow d=2330.51 miles

Hence, at 1:00 a.m, the airplane is at a distance of 2330.51 miles from the airport.

4 0
3 years ago
Mrs. Speas has $138 in her bank account during Week #1. At the end of each week, she deposits $55 into her bank account. What is
nordsb [41]

The first term is 138

The difference is 55

The iterative rule for the amount of money Mr Speas has after n weeks is

55/2 n² + 221/2 n

During the first week she has $138 in his bank account. At the end of each week she deposited $55 into her bank account.

The first term will be 138 .

The common difference is 55 because her bank always increase by $55 dollars every week. The sequence will be 138, 193, 248, 303, 358...…

The difference = 193 - 138 = 55.

The iterative rule for the amount of money Mr Speas has after n weeks can be represented  below

n = number of weeks

a = first term = 138

d = common difference = 55

Using AP formula,

sₙ = n/2(2a + (n - 1)d)

sₙ = n/2 (2(138)+ (n - 1)55)

sₙ = n /2(276 + 55n -55)

sₙ = n /2(221 + 55n)

sₙ = 55/2 n² + 221/2 n

read more: brainly.com/question/20373665?referrer=searchResults

6 0
2 years ago
Read 2 more answers
Which answer choice shows the decimal 23.476 written in expanded form?
Sergio039 [100]

Answer: 23.476 = 20+3+0.4+0.07+0.006

Step-by-step explanation:

I think you were supposed to write down the choices but I will guess the answer is this one:

23.476 = 20+3+0.4+0.07+0.006

Hope I helped!

6 0
2 years ago
Can somebody help me?
Black_prince [1.1K]

Answer:

C) v≤-5

Step-by-step explanation:

4v\leq -20

Divide each side by 4,

v\leq -5

5 0
3 years ago
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