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stiv31 [10]
2 years ago
3

Three fences on a ranch measure 15/16 miles 7/8 miles and 7/16 miles which is the best estimate of the total length of all three

fences
Mathematics
1 answer:
erastovalidia [21]2 years ago
7 0
Of course you can answer this question in a second using the calculator, however, I'll tell you how to simply it do it manually:

First step is to make the denominator of the three terms equal:
We have two terms already having the same denominator: 15/16 and 7/16
The denominator of the third term can be changed into 16 by multiplying both the numerator and the denominator by 2 (to keep the value of the term unchanged) as follows:
7/8 x 2/2 = 14/16 miles

Now to get the total length of the three fences, we will simply add the three terms.
Since the denominators of the three terms are equal, therefore, we will add the numerators of the three terms and keep the denominator as it is in  the result.
This is illustrated as follows:
Total length of fence= 15/16 + 14/16 + 7/16 = (15+14+7)/16
                                = 36/16 miles
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NEED HELP!
TEA [102]

Answer:

30 minutes

Step-by-step explanation:

20 * 96 / 64 = 30

8 0
2 years ago
Luis has saved $6. he doubles the amount he saves each week.does this represent an exponential function?complete:
Ilya [14]

Answer:

This 6(2)^{n-1} represent an exponential function, because his savings increase by a constant factor of 2.

Step-by-step explanation:

It is given that,

Luis has saved $6 and he doubles the amount each week.

So, the amount saved in the next week = 6×2 = 12

This gives the amount saved in the third week = 12×2 = 24

So, we get the sequence 6, 12, 24, 48,.....

It can be written as, 6×2⁰, 6×2¹, 6×2², 6×2³,.....

So, the sequence in the exponential form 6(2)^{n-1}, where 'n' is a natural number.

Also, 6, 12, 24, 48,.....

The numbers are increasing by the factor = \frac{12}{6}=\frac{24}{12}=....=2

Hence, we get,

This 6(2)^{n-1} represent an exponential function, because his savings increase by a constant factor of 2.

8 0
2 years ago
G find the area of the surface over the given region. use a computer algebra system to verify your results. the sphere r(u,v) =
Svetach [21]
Presumably you should be doing this using calculus methods, namely computing the surface integral along \mathbf r(u,v).

But since \mathbf r(u,v) describes a sphere, we can simply recall that the surface area of a sphere of radius a is 4\pi a^2.

In calculus terms, we would first find an expression for the surface element, which is given by

\displaystyle\iint_S\mathrm dS=\iint_S\left\|\frac{\partial\mathbf r}{\partial u}\times\frac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv

\dfrac{\partial\mathbf r}{\partial u}=a\cos u\cos v\,\mathbf i+a\cos u\sin v\,\mathbf j-a\sin u\,\mathbf k
\dfrac{\partial\mathbf r}{\partial v}=-a\sin u\sin v\,\mathbf i+a\sin u\cos v\,\mathbf j
\implies\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}=a^2\sin^2u\cos v\,\mathbf i+a^2\sin^2u\sin v\,\mathbf j+a^2\sin u\cos u\,\mathbf k
\implies\left\|\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}\right\|=a^2\sin u

So the area of the surface is

\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=\pi}\int_{v=0}^{v=2\pi}a^2\sin u\,\mathrm dv\,\mathrm du=2\pi a^2\int_{u=0}^{u=\pi}\sin u
=-2\pi a^2(\cos\pi-\cos 0)
=-2\pi a^2(-1-1)
=4\pi a^2

as expected.
6 0
2 years ago
a woman is looking for a bigger square office. she finds an office twice the area of her square office. if the perimeter is 88ft
UNO [17]

Answer:

Option C is the correct answer.

Step-by-step explanation:

Perimeter of current office = 88 ft

We have perimeter = 4a , where a is the side of square.

Equating

4a = 88

a = 22 sqft

Area of current office = a x a = 22 x 22 = 484 square feet.

Area of new office is twice the area of current office.

Area of new office = 2 x 484 = 968 square feet.

Option C is the correct answer.

6 0
2 years ago
Read 2 more answers
Choose the right answer. A series of light brown lines drawn at intervals of 50 feet to designate their respective heights above
Natali [406]

Answer:

Contour lines

Step-by-step explanation:

A series of light brown lines drawn at intervals of 50 feet to designate their respective heights above sea level are called CONTOUR lines, or just contour.

A contour line (also called isoline) is a line that indicates points at the same elevation on the map, showing you a representation of the terrain's elevation (hills, mountains, canyons and so on).  You will find those lines on specialized maps, like topographic maps, which are different than road maps.

8 0
2 years ago
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