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aksik [14]
2 years ago
12

Daniel buys a block of clay for an art project. The block is shaped like a cube with edges lengths of 10 inches. Daniel decides

to cut the block of clay into two pieces. He places a wire across the diagonal of one face of the cube. Then he pulls the wire straight back to create two congruent chunks of clay.
Daniel wants to keep one chunk of the clay for later use. To keep that chunk from drying out, he wants to place a piece of plastic sheeting on the surface he exposed when he cut the cube. describe this newly exposed two-dimensional cross-section, and find its area. round your answer to the nearest whole square inch
Mathematics
1 answer:
Andre45 [30]2 years ago
5 0

Answer:

=14.92...

14 the maximum number of spheres that Daniel can make from the chunk of clay.

.

Step-by-step explanation:

10^3=1000 in^3

1000/2=500 vol of one congruent chunk.

4/3 * pi * r^3 = vol of a sphere

500/(4/3 * pi * 2^3)

=14.92...

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How long is the arc intersected by a StartFraction 2 pi Over 3 EndFraction radian central angle in a circle with radius 7 feet
statuscvo [17]

Answer:

14pi/3 feet

Step-by-step explanation:

none

4 0
3 years ago
PLEASE HELP !!!!
Bess [88]

Answer:

About 31 years

Step-by-step explanation:

Given data

Principal= $3500

Rate=  4.75%

Final amount= $15,000

Time=??

The expression for time on compound interest is

Calculate time, solve for t

t = ln(A/P) / r

substitute

Calculate time, solve for t

t = ln(15000/3500) / 0.0475

t= ln(4.2857)/ 0.0475

t= 1.4552/0.0475

t= 30.63 years

Hence it will take about 31 years

4 0
3 years ago
If 433 = 100% then what percent does 383 equal
Goryan [66]

Answer:

88.46%

Step-by-step explanation:

433 - 383 = 50

50 ÷ 433 = 0.1154

0.1154 x 100 = 11.54%

100% - 11.54% = 88.46%

<u>Check work:</u>

433 x 88.46% = 383

5 0
2 years ago
If f(x)=×^2+7x-5 and you divide by x-2, What is the quotient and remainder?
katrin [286]

Answer:

The quotient is : x+9

The remainder is : 13

Step-by-step explanation:

The question requires you to perform the long division method;

This will be;

x-2\sqrt{x^2+7x-5}

start with the x term in x-2 and the first term in the function, x², to get x then multiply the x with x-2 to get x²-2x and perform the operation below;

x-2√x²+7x-5 -----------to first get x and then multiply x*[x-2]⇒x²-2x

    -  x²-2x+0 ------------perform subtraction of like terms

---------------------

            9x-5  ----now divide this answer by x-2 ,starting with x and 9x

----------------------This will give , 9 then multiply  9 by x-2 to get 9x-18 and perform the subtraction operation as;

             9x-5

      -      9x-18

------------------------

                     13

So the answer will be; x+9 remainder 13

6 0
3 years ago
Monique needs to buy a baseball for $20, a soccer ball for $15, and a set of tennis balls for $12. Monique has a coupon that giv
sveta [45]
<span>(1−x)20+(1−y)12+15

(1−z)(20+15+12)</span>
8 0
3 years ago
Read 2 more answers
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