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qwelly [4]
3 years ago
13

Please answer this question now correct

Mathematics
1 answer:
Natalka [10]3 years ago
3 0

Answer:

Step-by-step explanation:

cosine law

a²=b²+c²-2(bc)cos44  (c=20, b=15)

a²=15²+20²-2(15*20)cos44

a=√15²+20²-2(15*20)cos44

a=13.91

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Mr. Smith built a rectangular-shaped sandbox for his children, measuring 4 feet by 4 feet by 6 inches. Sand has a density of app
ehidna [41]

Answer:

To completely fill the sandbox will cost $56

Step-by-step explanation:

First, we calculate volume of the rectangular-shaped sandbox:

V=long*with*height\\V=4feet*4feet*0.5feet\\V=8cubicfoot

We know that density of sand is 100 pounds per cubic foot. Then, to fill the sand box that has a volume of 8 cubic foot, we calculate by rule 3:

1cubic foot..............100 pounds

8 cubic foot.............x pounds

x=\frac{8*100}{1}

x=800 pounds

We will need 800 pounds of sand to fill the sandbox, then we can calculate by rule 3 the number of bags needed and next the total cost of them:

50 pounds.......1bag

800 pounds.....x bags

x=\frac{800*1}{50} \\x=16

To calculate the cost:

1 bag ..................$3.50

16 bags.................$x

x=16*3.50\\x=$56

To completely fill the sandbox will cost $56

4 0
3 years ago
Lucy has 4 more than 1/3 the number of pairs of socks as her sister. Lucy has at most 9 pairs of socks. How many pairs of socks
Volgvan

Answer: at most 15 pairs of socks

Step-by-step explanation:

Let the number of pair of socks of her sister be x , and let the number of pairs Lucy has be y.

Since , Lucy has 4 more than 1/3 the number of pairs of socks as her sister, this means that

\frac{1}{3}x + 4 = y    .............................. equation 1

Also ,  Lucy has at most 9 pairs of socks , this means that

y\leq 9 ....................................... equation 2

Equating the two equations , we have

\frac{1}{3}x + 4 \leq 9

multiply through by 3

x + 12\leq 27

subtract 12 from both sides

x\leq 15

Therefore , the sister has at most 15 pairs of socks

4 0
3 years ago
I can define continuous data as:
stira [4]

Answer:

Continuous data are data which can take any values. Examples include time, height and weight. Because continuous data can take any value, there are an infinite number of possible outcomes.

5 0
3 years ago
Can some one help pls
arlik [135]

Answer: <DEF & <JKL

Step-by-step explanation:

they equal 90 degrees

complementary angles equal 90 degrees

8 0
3 years ago
Read 2 more answers
Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?
Llana [10]
The given expression can be simplified in many ways by grouping like terms. The simplest form is obtained by factoring out a²b which gives us the following expression.

a²b(7 + 10b +14b²)
3 0
3 years ago
Read 2 more answers
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