All categories

3 years ago

A football field measures 300 feet in length. It can also be expressed as approximately

Mathematics

1 answer:

Mariana [72]3 years ago

3 0

Answer: n=-2

Step-by-step explanation:

Given

The length of the football field is $300\ ft$

In the mile, it can be expressed as $5.7\times 10^n\ mile$

Also, $5280\ ft=1\ mile$ or

$1\ ft=\dfrac{1}{5280}\ miles\\\\1\ ft=1.893\times 10^{-4}\ miles$

converting $300\ ft$ to miles

$\Rightarrow 300\times 1.893\times 10^{-4}\\\Rightarrow 5.68\times 10^{-2}\approx 5.7\times 10^{-2}$

Comparing it with the given value $5.7\times 10^n\ mile$

we get $n=-2$

You might be interested in

Students in the school band are selling calendars they earn 0.40 on each calendar They sell. Their goal is to earn more than 327

Alexxandr [17]

Answer:

130.8

Step-by-step explanation:

i just think that you times 0.40 and 327 and then press = and it should give you 130.8

i hope it works

5 0

3 years ago

Jim's backyard is a rectangle that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sods in pieces that are 1 1/3 yards long

Ne4ueva [31]

We are given

Jim's backyard:

Length is

$L=15\frac{5}{6} =\frac{95}{6} yards$

width is

$W=10\frac{2}{5} =\frac{52}{5} yards$

Since, this is rectangle

so, we can find area of rectangle

$A=L*W$

$A=(\frac{95}{6})*(\frac{52}{5})$

$A=\frac{494}{3} yard^2$

Area of one sod:

length is

$l=1\frac{1}{3} =\frac{4}{3} yards$

width is

$w=1\frac{1}{3} =\frac{4}{3} yards$

Since, it is rectangle in shape

so,

$Area=l*w$

$A=\frac{4}{3}*\frac{4}{3}$

$A=\frac{16}{9}yard^2$

Number of pieces of sod:

we can use formula

Number of pieces of sod = (area of Jim's backyard)/(area of one sod)

$N=\frac{\frac{494}{3} }{\frac{16}{9} }$

now, we can simplify it

$N=\frac{741}{8}$ pieces need ..............Answer

7 0

3 years ago

A right triangle has one side that measures 4in. The angle opposite that side measures 80 degrees. What is the length of the hyp

Crazy boy [7]

Hello from MrBillDoesMath!

Answer:

4/sin(80)

which is approximately 4.06

Discussion:

From the triangle, not drawn too accurately (see attachment)

sin(80) = side opposite /hypotenuse =>

sin (80) = 4/c => multiply both sides by "c"

c sin(80) = 4/c * c =>

c sin(80) = 4 => divide both sides by sin(80)

c = 4/sin(80)

and 4/sin(80) is approximately 4.06

Thank you,

MrB

6 0

3 years ago

Find the measure of an angle who's measure is 20 less than the measure of its supplement.

Dvinal [7]

supplementary angles add up to 180°.

x = measure of such angle

x + 20 = measure of her sibling.

since "x" has 20 less than her sibling, then clearly her sibling has to have 20 more than "x".

$\bf (x)+\stackrel{sibling}{(x+20)}=180\implies 2x+20=180\implies 2x=160 \\\\\\ x=\cfrac{160}{2}\implies x=80$

7 0

3 years ago

Solve for x. X/3 = 5/8

Aleks04 [339]

The best way to solve this one would be simple cross multiplying. Multiply the top of one side with the bottom of the other side. In this problem you need to multiply X with 8 and multiply 3 with 5. You'll get an equation of 8X=15, then divide both sides by 8 so that you get X by itself. Your answer will them be X=1.875

3 0

4 years ago