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3 years ago

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Help ASAP!!!A carton has a length of fraction 2 and 2 over 3 feet, width of fraction 1 and 1 over 3 feet, and height of fraction

1 and 1 over 2 feet. What is the volume of the carton?

1 answer:

Nadusha1986 [10]3 years ago

7 0

5 1/3
multiply all the numbers together

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“An architect is planning to incorporate several stone spheres of different sizes into the landscaping of a public park, and wor

Artist 52 [7]

Answer:

Part 1) The value that is closest to the cost of finishing a sphere with a 5.50-meter circumference is $900

Part 2) The value that is closest to the cost of finishing a sphere with a 7.85-meter circumference is $1,800

Step-by-step explanation:

Step 1

Find the radius of each sphere

we know that

The circumference of a circle is equal to

$C=2\pi r$

<u><em>Find the radius of the sphere with a 5.50-meter circumference</em></u>

For $C=5.50\ m$

assume

$\pi =3.14$

substitute and solve for r

$5.50=2(3.14)r$

$r=5.50/[2(3.14)]=0.88\ m$

<u><em>Find the radius of the sphere with a 7.85-meter circumference</em></u>

For $C=7.85\ m$

assume

$\pi =3.14$

substitute and solve for r

$7.85=2(3.14)r$

$r=7.85/[2(3.14)]=1.25\ m$

step 2

Find the surface area of each sphere

The surface area of sphere is equal to

$SA=4\pi r^{2}$

<u><em>Find the surface area of sphere with a 5.50-meter circumference</em></u>

For $r=0.88\ m$

assume

$\pi =3.14$

substitute

$SA=4(3.14)(0.88)^{2}$

$SA=9.73\ m^{2}$

<u><em>Find the surface area of sphere with a 7.85-meter circumference</em></u>

For $r=1.25\ m$

assume

$\pi =3.14$

substitute

$SA=4(3.14)(1.25)^{2}$

$SA=19.63\ m^{2}$

step 3

Find the cost of finishing each sphere

we know that

To find out the cost , multiply the surface area by $92 per square meter

<u><em>Find the cost of sphere with a 5.50-meter circumference</em></u>

$9.73*(92)=\$895.16$

therefore

The value that is closest to the cost of finishing a sphere with a 5.50-meter circumference is $900

<u><em>Find the cost of sphere with a 7.85-meter circumference</em></u>

$19.63*(92)=\$1,805.96$

therefore

The value that is closest to the cost of finishing a sphere with a 7.85-meter circumference is $1,800

6 0

3 years ago

Ignore the blue and 13. But I don’t understand dividing the polynomials. It says to complete the problem.

Virty [35]

OK the next step is to multiply 3r -1 by -7r
this gives us -21r^2 + 7r and we write it below -21r^2 + 25r
and subtract
This gives us 18r and we bring down the -6 to give
18r - 6

Finally we divide 18r by -3r to give -6 then add - 6 to the r^2 - 7r on the top
then multiply -3r - 1 by -6 to give 18r - 6
subtraction then leaves nothing.

so the answer is r^2 - 7r - 6

4 0

3 years ago

the sum of two numbers is 35 think of 2 numbers that make up 35 and then subtract them and see if they make 15 {no the answer is

JulijaS [17]

25 and 10, since 25+10=35, and 25-10=15

8 0

2 years ago

Write the power set of the set A={a,b,c}

Burka [1]

Answer:

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

Step-by-step explanation:

➨ Power Set is the set of all subsets.

First, find the subset of A.

{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅

If you aren't sure that you already have written all subsets or not, use the following formula.

$2^n$ ➩ where n is the number of element/members.

Our number of members are 3, use the following formula.

$2^3=8$

Thus, our subsets should be 8.

As we've already gathered all subsets, write the braces all whole subsets.

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

8 0

3 years ago

Suppose r(140°, P)(A) = B and (Rnotation: Line PD∘Rnotation: Line PC)(A) = B, what is m∠CPD?

Nutka1998 [239]

Answer:

70

Step-by-step explanation:

i got 100% on the test

3 0

3 years ago